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<book-title>Большая Советская Энциклопедия (ЗН)</book-title><coverpage> <image l:href="#cover.jpg"/></coverpage><lang>ru</lang></title-info> <document-info> <author> <nickname>traum</nickname></author><program-used>perl</program-used>
<date>12.07.2008</date><src-url>http://www.cultinfo.ru</src-url><id>id</id><version>1.0</version>  </document-info> </description><body><title><p>Большая Советская Энциклопедия (ЗН)</p></title>
<section id="page_047-595"><title><p>Знак</p></title> <p><strong>Знак,</strong> материальный предмет (явление, событие), выступающий в качестве представителя некоторого др. предмета, свойства или отношения и используемый для приобретения, хранения, переработки и передачи сообщений (информации, знаний). Различают языковые (входящие в некоторую знаковую систему) (см. <emphasis><a l:href="page_047-618">Знак языковой</a></emphasis>) и неязыковые З. Среди последних можно выделить З.-копии, З.-признаки, З.-символы. З.-копии — это воспроизведения, репродукции, более или менее сходные с обозначаемым (таковы фотографии, отпечатки пальцев, в известной мере З. т. н. пиктографической письменности). З.-признаки — это З., связанные с обозначаемыми предметами как действия со своими причинами (то, что иначе называется симптомами, приметами и т.п.). З.-символы — З., которые в силу заключённого в них наглядного образа используются для выражения некоторого, часто весьма значительного и отвлечённого, содержания (например, изображение древнегреческой театральной маски как символ современного театра и театрального искусства; термин «символ» употребляется и просто в смысле З.). Языковые З. не функционируют независимо друг от друга, а образуют систему, правила которой определяют закономерности их построения (правила грамматики, или синтаксиса, в широком смысле), осмысления (правила смысла, или значения З.) и употребления. З., входящие в состав языков как средств коммуникации в обществе, называется З. общения. З. общения делятся на знаки естественных языков и знаки искусственных знаковых систем — искусственных языков; З. естественных языков (отдельные слова, грамматически правильно построенные выражения, предложения и др.) состоят как из звуковых З., так и из соответствующих этим З. рукописных, типографских и иных З. Неязыковые З. играют в коммуникации (общении) вспомогательную роль. В естественных языках общения — национальных языках — более или менее в явной форме существуют лишь правила грамматики, а правила смысла и употребления — в неявной форме. Развитие науки привело к введению в естественные языки специальных графических знаков, используемых для сокращения выражения научных понятий и суждений и способов оперирования с рассматриваемыми в науке объектами (таковы, например, З. математической, химической и др. символики) (см. <emphasis><a l:href="page_047-628">Знаки астрономические</a></emphasis>, <emphasis><a l:href="page_047-636">Знаки математические</a></emphasis>, <emphasis><a l:href="page_047-662">Знаки химические</a></emphasis>). Из З. такого рода строятся искусственные языки, правила которых (во всяком случае, правила синтаксиса и смысла) задаются в явной форме. Искусственные языки находят преимущественное применение в науке, где они служат не только средством общения (между учёными, научными коллективами и т.п.), но и получения новой информации об исследуемых явлениях. Среди З. Искусственных Знаковых систем можно выделить: З. Кодовых систем, предназначенных для кодирования обычной речи или для перекодирования уже закодированных сообщений [например, азбука Морзе; коды, применяемые при составлении программ для ЦВМ (цифровых вычислительных машин)]; З. Для моделирования непрерывных процессов (например, кривые, отображающие непрерывные изменения в ходе каких-либо процессов); З., из которых строятся формулы, используемые в научных языках (в т. ч. З. <emphasis><a l:href="page_116-996">формальных систем</a></emphasis>; З. <emphasis><a l:href="page_056-147">информационно-логических систем</a></emphasis>), — наиболее важный вид З., применяемых в науке; среди них обычно различают З., осмысленность (значение) которых не зависит от др. З. (т. н. собственные З.), и З. несобственные, не имеющие сами по себе значащего характера, а лишь служащие для построения сложных З. из более простых (например, скобки).</p> <p>  Различают предметное, смысловое и экспрессивное значение З.; З. Обозначает данный предмет (или предметы) — предмет, обозначаемый З., называется его предметным значением — и выражает своё смысловое и экспрессивное значение. Смысловое значение (смысл) З. служит для выделения его предметного значения — для задания предмета, обозначаемого З. (хотя могут быть З., имеющие только смысл, но не обозначающие никакого предмета, например выражение «русалка»). С др. стороны, могут быть З., в которых смысловое значение сведено к минимуму; таковы собственные имена естественных языков. Смысловое значение З. — это его свойство представлять, фиксировать определённые стороны, черты, характеристики обозначаемого объекта, определяющие область приложения З.; это то, что понимает человек, воспринимающий или воспроизводящий данный З. В науке смысловое значение З. принимает форму <emphasis><a l:href="page_091-470">понятия</a></emphasis>; при этом в ряде областей (прежде всего в математике) предметы, обозначаемые З. (выражениями соответствующего научного языка), представляют собой идеализированные, абстрактные объекты (см. <emphasis><a l:href="page_050-551">Идеализация</a></emphasis>). Под экспрессивным значением З. понимаются выражаемые с помощью данного З. (при использовании его в данном контексте и в данной ситуации) чувства и желания человека, употребляющего З. Естественный устный язык весьма экспрессивен, по в письменном научном языке большинство) выражений (а в формализованных языках — все) лишено экспрессивного значения. С др. стороны, существуют языковые З., строго говоря, не имеющие никакого др. значения, кроме экспрессивного; таковы, в частности, междометия.</p> <p>  С развитием способности извлекать и перерабатывать информацию о предметах, оперируя непосредственно не с самими предметами, а со З., их представляющими, связано как становление самого человечества, так и коренные переломы в развитии науки (например, возникновение математической символики в 16—17 вв., резко ускорившее прогресс математики и её приложений в механике, астрономии, физике; развитие формализованных, информационных, машинных и подобных языков, связанное с кибернетикой). Создание специальной символики и особенно создание систем формул обычно открывает в науке новые возможности: рационально построенные системы З. позволяют в обозримой форме выражать соотношения между изучаемыми явлениями; добиваться однозначности используемых терминов; фиксировать такие понятия, для которых в обычном языке нет словесных выражений; формулы зачастую выражают и готовый результат, и тот путь, следуя которому можно его получить. Фиксация сообщений с помощью З. делает возможной передачу информации по техническим каналам связи и её разнообразную — математическую, статистическую, логическую — обработку с помощью автоматических устройств (информационно-логических машин, управляющих систем, включающих ЦВМ, и пр.). См. также <emphasis><a l:href="page_047-770">Значение</a>, <a l:href="page_053-607">Имя</a>, <a l:href="page_101-166">Семиотика</a>.</emphasis></p> <p><emphasis> </emphasis></p> <p><emphasis>  Лит.:</emphasis> Ленин В. И., Материализм и эмпириокритицизм, Полн. собр. соч., 5 изд., т. 18; Лейбниц Г., Новые опыты о человеческом разуме, пер. с нем., М., 1936; Юшкевич А. П., Лейбниц и основание исчисления бесконечно малых, «Успехи математических наук», 1948, т. 3, в. 1; Рассел Б., Человеческое познание, пер. с англ., М., 1957; Бирюков Б. В., Теория смысла Готлоба Фреге, в кн.: Применение логики в науке и технике, М., 1960; Звегинцев В. А., История языкознания 19 н 20 вв. в очерках и извлечениях, 2 изд., ч. 1—2, М., 1960; Черч А., Введение в математическую логику, пер. с англ., т. 1—2, М., 1960; Шафф А., Введение в семантику, пер. с польск., М., 1963: Резников Л. О., Гносеологические вопросы семиотики, Л., 1964; Влэдуц Г. Э. [и др.], Семиотика, в кн.: Кибернетику — на службу коммунизму, т. 5, М., 1967 (имеется библ.); Пирс Дж., Символы, сигналы, шумы, пер. с англ., М., 1967; Проблема знака и значения, Сб., М., 1969; Morris Ch., Signs, language and behavior, N. Y., 1946; Carnap R., Introduction to semantics, Camb., 1942.</p> <p><emphasis>  Б. В. Бирюков. </emphasis></p>   
</section>
<section id="page_047-597"><title><p>Знак качества</p></title> <p><strong>Знак ка'чества,</strong> <emphasis>см. <a l:href="page_012-158">Государственный знак качества</a>.</emphasis> </p>   
</section>
<section id="page_047-602"><title><p>Знак обслуживания</p></title> <p><strong>Знак обслу'живания,</strong> знак, которым предприятия, осуществляющие различные виды обслуживания, обозначают оказываемые ими услуги для индивидуализации своей деятельности (например, фирменные пакеты, конверты, бланки, этикетки и т.д.). Применяется предприятиями, работающими в сфере транспорта, строительства, страхования, банковского дела, издательства и информации, радиовещания и телевидения, оказания бытовых услуг (гостиницы, рестораны и т.п.), зрелищными предприятиями и т.д. З. о. пользуются юридической охраной как объект исключительного права в большинстве государств. Согласно Парижской конвенции по охране промышленной собственности от 20 марта 1833 (в редакции 1958), З. о. охраняются во всех странах-участницах по правилам национального законодательства. В СССР охрана З. о. введена в 1962. При регистрации З. о. используется классификация, установленная Соглашением о международной классификации изделий и услуг для регистрации знаков от 15 июля 1957. Правовая охрана З. о. аналогична охране <emphasis><a l:href="page_110-979">товарных знаков</a>.</emphasis> </p>   
</section>
<section id="page_047-608"><title><p>«Знак почёта»</p></title> <p><strong>«Знак почёта»</strong> орден, см. <emphasis><a l:href="page_084-855">Ордена СССР</a>.</emphasis> </p>   
</section>
<section id="page_047-611"><title><p>Знак стоимости</p></title> <p><strong>Знак сто'имости,</strong> см. в ст. <emphasis><a l:href="page_023-507">Деньги</a>.</emphasis> </p>   
</section>
<section id="page_047-617"><title><p>Знак товарный</p></title> <p><strong>Знак това'рный,</strong> см. <emphasis><a l:href="page_110-979">Товарный знак</a>.</emphasis> </p>   
</section>
<section id="page_047-618"><title><p>Знак языковой</p></title> <p><strong>Знак языково'й,</strong> любая единица языка (морфема, слово, словосочетание, предложение), служащая для обозначения предметов или явлений действительности. З. я. двусторонен. Он состоит из <emphasis><a l:href="page_083-844">означающего</a>,</emphasis> образуемого звуками речи (точнее, фонемами), и <emphasis><a l:href="page_083-843">означаемого</a>, </emphasis>создаваемого смысловым содержанием З. я. Связь между сторонами знака произвольна, поскольку выбор звуковой формы обычно не зависит от свойств обозначаемого предмета. Особенностью З. я. является его асимметричность, т. с. способность одного означающего передавать разные значения (полисемия, омонимия) и стремление означаемого З. я. быть выраженным разными означающими (гетерофония, омосемия). Асимметрия структуры З. я. определяет способность языка к развитию.</p> <p>  З. я. иногда подразделяют на полные и частичные. Под полным З. я. понимается высказывание (обычно предложение), непосредственно отнесённое к обозначаемой ситуации (референту, денотату З. я.). Под частичным знаком подразумевается слово или морфема, актуализируемые только в составе полного знака. Наличие в языке частичных знаков разной степени сложности, а также членимость означающего и означаемого простейшего З. я. на односторонние (незнаковые) единицы содержания (компоненты значения) и выражения (фонемы) обеспечивают экономность языковой системы, позволяя создавать из конечного числа простых единиц бесконечно большое количество сообщений. См. <emphasis><a l:href="page_047-666">Знаковая теория языка</a>.</emphasis></p> <p><emphasis> </emphasis></p> <p><emphasis>  Лит.:</emphasis> Соссюр Ф. де, Курс общей лингвистики, пер. с франц., М., 1933; Карцевский С., Об асимметричном дуализме лингвистического знака, в кн.: 3вегинцев В. А., История языкознания XIX—XX веков в очерках и извлечениях, ч. 2, М., 1965; Якобсон Р., В поисках сущности языка, в кн.: Сборник переводов по вопросам информационной теории и практики, в. 16, М., 1970; Общее языкознание, М., 1970, гл. 2; Материалы к конференции «Язык как знаковая система особого рода», М., 1967.</p> <p>  <emphasis>Н. А. Арутюнова.</emphasis> </p>   
</section>
<section id="page_047-624"><title><p>Знаки</p></title> <p><strong>Зна'ки</strong> в нотном письме, различные графические знаки, применяемые для записи музыки. См. <emphasis><a l:href="page_082-713">Нотное письмо</a>. <a l:href="page_082-725">Ноты</a>, <a l:href="page_062-100">Ключ</a>, <a l:href="page_108-692">Бемоль</a>, <a l:href="page_104-917">Бекар</a> </emphasis>и др. </p>   
</section>
<section id="page_047-628"><title><p>Знаки астрономические</p></title> <p><strong>Зна'ки астрономи'ческие,</strong> условные обозначения Солнца, Луны, планет и др. небесных тел, а также зодиакальных созвездий, планетных конфигураций, фаз Луны и пр., применяемые в астрономической литературе и календарях. Некоторые З. а. используются для обозначения дней недели, часов.</p> <p>  Большинство З. а. возникло в глубокой древности и представляет собой схематические изображения небесных тел или символических фигур созвездий. </p> <image l:href="#i009-001-227785145.jpg"/><p>Знаки лунных фаз.</p><image l:href="#i009-001-239948276.jpg"/><p>Знаки зодиака и месяцев.</p><image l:href="#i010-001-248706750.jpg"/><p>Знаки небесных светил и дней недели.</p><image l:href="#i010-001-264910231.jpg"/><p>Знаки аспектов (взаимного расположения светил).</p>
</section>
<section id="page_047-631"><title><p>Знаки геодезические</p></title> <p><strong>Зна'ки геодези'ческие,</strong> см. <emphasis><a l:href="page_009-522">Геодезические знаки</a>.</emphasis> </p>   
</section>
<section id="page_047-636"><title><p>Знаки математические</p></title> <p><strong>Зна'ки математи'ческие,</strong> условные обозначения, предназначенные для записи математических понятий, предложений и выкладок. Например, <image l:href="#i-images-171693417.png"/></p> <p>(квадратный корень из двух), 3 &gt; 2 (три больше двух) и т.п.</p> <p>  Развитие математической символики было тесно связано с общим развитием понятий и методов математики. Первыми З. м. были знаки для изображения чисел — <emphasis><a l:href="page_121-211">цифры</a>,</emphasis> возникновение которых, по-видимому, предшествовало письменности. Наиболее древние системы нумерации — вавилонская и египетская — появились ещё за 3<sup>1</sup>/<sub>2 </sub>тысячелетия до н. э.</p> <p>  Первые З. м. для произвольных величин появились много позднее (начиная с 5—4 вв. до н. э.) в Греции. Величины (площади, объёмы, углы) изображались в виде отрезков, а произведение двух произвольных однородных величин — в виде прямоугольника, построенного на соответствующих отрезках. В «Началах» <emphasis><a l:href="page_036-234">Евклида</a></emphasis> (3 в. до н. э.) величины обозначаются двумя буквами — начальной и конечной буквами соответствующего отрезка, а иногда и одной. У <emphasis><a l:href="page_074-794">Архимеда</a></emphasis> (3 в. до нашей эры) последний способ становится обычным. Подобное обозначение содержало в себе возможности развития буквенного исчисления. Однако в классической античной математике буквенного исчисления создано не было.</p> <p>  Начатки буквенного изображения и исчисления возникают в позднеэллинистическую эпоху в результате освобождения алгебры от геометрической формы. <emphasis><a l:href="page_028-549">Диофант</a></emphasis> (вероятно, 3 в.) записывал неизвестную (<emphasis>х</emphasis>) и её степени следующими знаками:</p> <image l:href="#i-images-156693855.png"/> <p>  [<image l:href="#i-images-114814105.png"/> — от греческого термина dunamiV (dynamis — сила), обозначавшего квадрат неизвестной, <image l:href="#i-images-127747869.png"/> — от греческого cuboV (k_ybos) — куб]. Справа от неизвестной или её степеней Диофант писал коэффициенты, например 3х<sup>5</sup> изображалось</p> <image l:href="#i-images-160983533.png"/> <p>(где <image l:href="#i-images-197408265.png"/> = 3). При сложении Диофант приписывал слагаемые друг к другу, для вычитания употреблял специальный знак <image l:href="#i-images-162421667.png"/>; равенство Диофант обозначал буквой i [от греческого isoV (isos) — равный]. Например, уравнение</p> <p>(<emphasis>x</emphasis><sup>3</sup> + 8<emphasis>x</emphasis>) — (5<emphasis>x</emphasis><sup>2</sup> + 1) =<emphasis> х</emphasis></p> <p>  у Диофанта записалось бы так:</p> <image l:href="#i-images-186466502.jpg"/> <p><emphasis>  </emphasis>(здесь <image l:href="#i-images-101470896.png"/></p> <p>означает, что единица <image l:href="#i-images-177841647.png"/> не имеет множителя в виде степени неизвестного).</p> <p>  Несколько веков спустя индийцы ввели различные З. м. для нескольких неизвестных (сокращения наименований цветов, обозначавших неизвестные), квадрата, квадратного корня, вычитаемого числа. Так, уравнение</p> <p>  3<emphasis>х</emphasis><sup>2</sup> + 10<emphasis>x</emphasis> — 8 = <emphasis>x</emphasis><sup>2</sup> + 1</p> <p>  в записи <emphasis><a l:href="page_001-188">Брахмагупты</a></emphasis> (7 в.) имело бы вид:</p> <p>  йа ва 3 йа 10 ру 8</p> <p>  йа ва 1 йа 0 ру 1</p> <p>  (йа — от йават — тават — неизвестное, ва — от варга — квадратное число, ру — от рупа — монета рупия — свободный член, точка над числом означает вычитаемое число).</p> <p>  Создание современной алгебраической символики относится к 14—17 вв.; оно определялось успехами практической арифметики и учения об уравнениях. В различных странах стихийно появляются З. м. для некоторых действий и для степеней неизвестной величины. Проходят многие десятилетия и даже века, прежде чем вырабатывается тот или иной удобный символ. Так, в конце 15 и. Н. <emphasis><a l:href="page_124-890">Шюке</a></emphasis> и Л. <emphasis><a l:href="page_087-521">Пачоли</a></emphasis> употребляли знаки сложения и вычитания</p> <image l:href="#i-images-161175354.png"/> <p>(от лат. plus и minus), немецкие математики ввели современные + (вероятно, сокращение лат. et) и —. Ещё в 17 в. можно насчитать около десятка З. м. для действия умножения.</p> <p>  Различны были и З. м. неизвестной и её степеней. В 16 — начале 17 вв. конкурировало более десяти обозначений для одного только квадрата неизвестной, например <emphasis>се </emphasis>(от census — латинский термин, служивший переводом греческого dunamiV, <emphasis>Q</emphasis> (от quadratum), <image l:href="#i-images-150537807.png"/>, A (2), <image l:href="#i-images-159042143.png"/>, Aii, <emphasis>aa</emphasis>, <emphasis>a<sup>2</sup></emphasis> и др. Так, уравнение</p> <p>x<sup>3</sup> + 5<emphasis>x</emphasis> = 12</p> <p>имело бы у итальянского математика Дж. Кардано (1545) вид:</p> <image l:href="#i-images-135983496.jpg"/> <p>у немецкого математика М. Штифеля (1544):</p> <image l:href="#i-images-101817554.jpg"/> <p>у итальянского математика Р. Бомбелли (1572):</p> <image l:href="#i-images-182080546.jpg"/> <p>французского математика Ф. Виета (1591):</p> <image l:href="#i-images-126120405.jpg"/> <p>у английского математика Т. Гарриота (1631):</p> <image l:href="#i-images-182089822.jpg"/> <p><strong>  </strong>В 16 и начале 17 вв. входят в употребление знаки равенства и скобки: квадратные (Р. <emphasis><a l:href="page_128-757">Бомбелли</a></emphasis>, 1550), круглые (Н. <emphasis><a l:href="page_109-052">Тарталья</a>,</emphasis> 1556), фигурные (Ф. <emphasis><a l:href="page_004-856">Виет</a>,</emphasis> 1593). В 16 в. современный вид принимает запись дробей.</p> <p>  Значительным шагом вперёд в развитии математической символики явилось введение Виетом (1591) З. м. для произвольных постоянных величин в виде прописных согласных букв латинского алфавита В, D, что дало ему возможность впервые записывать алгебраические уравнения с произвольными коэффициентами и оперировать ими. Неизвестные Виет изображал гласными прописными буквами А, Е,... Например, запись Виета</p> <image l:href="#i-images-187682956.jpg"/> <p><strong>  </strong>[cubus — куб, planus — плоский, т. е. В — двумерная величина; solidus — телесный (трёхмерный), размерность отмечалась для того, чтобы все члены были однородны] в наших символах выглядит так:</p> <p>  <emphasis>x<sub>3</sub></emphasis> + 3<emphasis>bx</emphasis> = <emphasis>d.</emphasis></p> <p><emphasis>  </emphasis>Виет явился творцом алгебраических формул. Р. <emphasis><a l:href="page_021-991">Декарт</a></emphasis> (1637) придал знакам алгебры современный вид, обозначая неизвестные последними буквами лат. алфавита <emphasis>х, у, z, </emphasis>а произвольные данные величины — начальными буквами <emphasis>а, b, с.</emphasis> Ему же принадлежит нынешняя запись степени. Обозначения Декарта обладали большим преимуществом по сравнению со всеми предыдущими. Поэтому они скоро получили всеобщее признание.</p> <p>  Дальнейшее развитие З. м. было тесно связано с созданием анализа бесконечно малых, для разработки символики которого основа была уже в большой мере подготовлена в алгебре.</p> <p>Даты возникновения некоторых математических знаков</p> <table> <tr> <td> знак </td> <td> значение </td> <td> Кто ввёл </td> <td> Когда введён </td> </tr> <tr> <td> Знаки индивидуальных объектов </td> </tr> <tr> <td> &#165; </td> <td> бесконечность </td> <td> Дж. Валлис </td> <td> 1655 </td> </tr> <tr> <td> e' </td> <td> основание натуральных логарифмов </td> <td> Л. Эйлер  </td> <td> 1736 </td> </tr> <tr> <td> p </td> <td> отношение длины окружности к диаметру </td> <td> У. Джонс  Л. Эйлер </td> <td> 1706 1736 </td> </tr> <tr> <td> i </td> <td> корень квадратный из -1 </td> <td> Л. Эйлер </td> <td> 1777 (в печати 1794) </td> </tr> <tr> <td> i j k </td> <td> единичные векторы, орты </td> <td> У. Гамильтон </td> <td> 1853 </td> </tr> <tr> <td> П (а) </td> <td> угол параллельности </td> <td> Н.И. Лобачевский </td> <td> 1835 </td> </tr> <tr> <td> Знаки переменных объектов </td> </tr> <tr> <td> x,y, z' </td> <td> неизвестные или переменные величины </td> <td> Р. Декарт </td> <td> 1637 </td> </tr> <tr> <td> r </td> <td> вектор </td> <td> О. Коши </td> <td> 1853 </td> </tr> <tr> <td> Знаки индивидуальных операций </td> </tr> <tr> <td> + </td> <td> сложение </td> <td> немецкие математики </td> <td> Конец 15 в. </td> </tr> <tr> <td> –' </td> <td> вычитание </td> </tr> <tr> <td> &#180; </td> <td> умножение </td> <td> У. Оутред </td> <td> 1631 </td> </tr> <tr> <td> &#215; </td> <td> умножение </td> <td> Г. Лейбниц </td> <td> 1698 </td> </tr> <tr> <td> : </td> <td> деление </td> <td> Г. Лейбниц </td> <td> 1684 </td> </tr> <tr> <td> a<sup>2</sup>, a<sup>3</sup>,…, a<sup>n</sup> </td> <td> степени </td> <td> Р. Декарт </td> <td> 1637 </td> </tr> <tr> <td>  </td> <td> И. Ньютон </td> <td> 1676 </td> </tr> <tr> <td> <image l:href="#i-images-179528285.png"/> </td> <td> корни </td> <td> К. Рудольф </td> <td> 1525 </td> </tr> <tr> <td> А. Жирар </td> <td> 1629 </td> </tr> <tr> <td> Log </td> <td> логарифм </td> <td> И. Кеплер </td> <td> 1624 </td> </tr> <tr> <td> log </td> <td> Б. Кавальери </td> <td> 1632 </td> </tr> <tr> <td> sin </td> <td> синус </td> <td> Л. Эйлер </td> <td> 1748 </td> </tr> <tr> <td> cos </td> <td> косинус </td> </tr> <tr> <td> tg </td> <td> тангенс </td> <td> Л. Эйлер </td> <td> 1753 </td> </tr> <tr> <td> arc.sin </td> <td> арксинус </td> <td> Ж. Лагранж </td> <td> 1772 </td> </tr> <tr> <td> Sh </td> <td> гиперболический синус </td> <td> В. Риккати </td> <td> 1757 </td> </tr> <tr> <td> Ch </td> <td> гиперболический косинус </td> </tr> <tr> <td> dx, ddx, … </td> <td> дифференциал </td> <td> Г. Лейбниц </td> <td> 1675 (в печати 1684) </td> </tr> <tr> <td> d<sup>2</sup>x, d<sup>3</sup>x,… </td> </tr> <tr> <td> <image l:href="#i-images-194652338.png"/> </td> <td> интеграл </td> <td> Г. Лейбниц </td> <td> 1675 (в печати 1686) </td> </tr> <tr> <td> <image l:href="#i-images-169785289.png"/> </td> <td> производная </td> <td> Г. Лейбниц </td> <td> 1675 </td> </tr> <tr> <td> ¦&#162;x </td> <td> производная </td> <td> Ж. Лагранж </td> <td> 1770, 1779 </td> </tr> <tr> <td> y’ </td> </tr> <tr> <td> ¦&#162;(x) </td> </tr> <tr> <td> Dx </td> <td> разность </td> <td> Л. Эйлер </td> <td> 1755 </td> </tr> <tr> <td> <image l:href="#i-images-186116679.png"/> </td> <td> частная производная </td> <td> А. Лежандр </td> <td> 1786 </td> </tr> <tr> <td> <image l:href="#i-images-150423805.png"/> </td> <td> определённый интеграл </td> <td> Ж. Фурье </td> <td> 1819-22 </td> </tr> <tr> <td> S </td> <td> сумма </td> <td> Л. Эйлер </td> <td> 1755 </td> </tr> <tr> <td> П </td> <td> произведение </td> <td> К. Гаусс </td> <td> 1812 </td> </tr> <tr> <td> ! </td> <td> факториал </td> <td> К. Крамп </td> <td> 1808 </td> </tr> <tr> <td> |x| </td> <td> модуль </td> <td> К. Вейерштрасс </td> <td> 1841 </td> </tr> <tr> <td> lim </td> <td>   предел </td> <td> У. Гамильтон, многие математики </td> <td> 1853, начало 20 в. </td> </tr> <tr> <td> lim </td> </tr> <tr> <td> <emphasis>n</emphasis> = &#165; </td> </tr> <tr> <td> lim </td> </tr> <tr> <td> <emphasis>n</emphasis> ® &#165; </td> </tr> <tr> <td> x </td> <td> дзета-функция </td> <td> Б. Риман </td> <td> 1857 </td> </tr> <tr> <td> Г </td> <td> гамма-функция </td> <td> А. Лежандр </td> <td> 1808 </td> </tr> <tr> <td> В </td> <td> бета-функция </td> <td> Ж. Бине </td> <td> 1839 </td> </tr> <tr> <td> D </td> <td> дельта (оператор Лапласа) </td> <td> Р. Мёрфи </td> <td> 1833 </td> </tr> <tr> <td> &#209; </td> <td> набла (оператор Гамильтона) </td> <td> У. Гамильтон </td> <td> 1853 </td> </tr> <tr> <td> Знаки переменных операций </td> </tr> <tr> <td> jx </td> <td> функция </td> <td> И. Бернули </td> <td> 1718 </td> </tr> <tr> <td> f ('x) </td> <td> Л. Эйлер </td> <td> 1734 </td> </tr> <tr> <td> Знаки индивидуальных отношений </td> </tr> <tr> <td> =' </td> <td> равенство </td> <td> Р. Рекорд </td> <td> 1557 </td> </tr> <tr> <td> &gt;' </td> <td> больше </td> <td> Т. Гарриот </td> <td> 1631 </td> </tr> <tr> <td> &lt;' </td> <td> меньше </td> </tr> <tr> <td> &#186; </td> <td> сравнимость </td> <td> К. Гаусс </td> <td> 1801 </td> </tr> <tr> <td> || </td> <td> параллельность </td> <td> У. Оутред </td> <td> 1677 </td> </tr> <tr> <td> ^ </td> <td> перпендикулярность </td> <td> П. Эригон </td> <td> 1634 </td> </tr> </table> <p>  И. <emphasis><a l:href="page_082-927">Ньютон</a></emphasis> в своём методе флюксий и флюент (1666 и следующие гг.) ввёл знаки для последовательных флюксий (производных) величины (в виде</p> <image l:href="#i-images-172619194.png"/> <p>и для бесконечно малого приращения <emphasis>o</emphasis>. Несколько ранее Дж. <emphasis><a l:href="page_002-945">Валлис</a></emphasis> (1655) предложил знак бесконечности &#165;.</p> <p>  Создателем современной символики дифференциального и интегрального исчислений является Г. <emphasis><a l:href="page_069-319">Лейбниц</a>.</emphasis> Ему, в частности, принадлежат употребляемые ныне З. м. дифференциалов</p> <p><emphasis>  dx, d </emphasis><sup>2</sup><emphasis>x, d </emphasis><sup>3</sup><emphasis>x</emphasis></p> <p><emphasis>  </emphasis>и интеграла</p> <image l:href="#i-images-168215533.png"/> <p><emphasis>  </emphasis>Огромная заслуга в создании символики современной математики принадлежат Л. <emphasis><a l:href="page_125-363">Эйлеру</a>.</emphasis> Он ввёл (1734) в общее употребление первый знак переменной операции, именно знак функции <emphasis>f </emphasis>(<emphasis>x</emphasis>)<emphasis> </emphasis>(от лат. functio). После работ Эйлера знаки для многих индивидуальных функций, например тригонометрических, приобрели стандартный характер. Эйлеру же принадлежат обозначения постоянных <emphasis>е</emphasis> (основание натуральных логарифмов, 1736), p [вероятно, от греческого perijereia (periphereia) — окружность, периферия, 1736], мнимой единицы</p> <image l:href="#i-images-117293894.png"/> <p>(от французского imaginaire — мнимый, 1777, опубликовано в 1794).</p> <p>  В 19 в. роль символики возрастает. В это время появляются знаки абсолютной величины |x| (К. <emphasis><a l:href="page_003-701">Вейерштрасс</a>,</emphasis> 1841), вектора <image l:href="#i-images-187020672.png"/> (О. <emphasis><a l:href="page_065-508">Коши</a>,</emphasis> 1853), определителя</p> <image l:href="#i-images-108895444.png"/> <p>(А. <emphasis><a l:href="page_068-042">Кэли</a>,</emphasis> 1841) и др. Многие теории, возникшие в 19 в., например Тензорное исчисление, не могли быть развиты без подходящей символики.</p> <p>  Наряду с указанным процессом стандартизации З. м. в современной литературе весьма часто можно встретить З. м., используемые отдельными авторами только в пределах данного исследования.</p> <p>  С точки зрения математической логики, среди З. м. можно наметить следующие основные группы: А) знаки объектов, Б) знаки операций, В) знаки отношений. Например, знаки 1, 2, 3, 4 изображают числа, т. е. объекты, изучаемые арифметикой. Знак операции сложения + сам по себе не изображает никакого объекта; он получает предметное содержание, когда указано, какие числа складываются: запись 1 + 3 изображает число 4. Знак &gt; (больше) есть знак отношения между числами. Знак отношения получает вполне определённое содержание, когда указано, между какими объектами отношение рассматривается. К перечисленным трём основным группам З. м. примыкает четвёртая: Г) вспомогательные знаки, устанавливающие порядок сочетания основных знаков. Достаточное представление о таких знаках дают скобки, указывающие порядок производства действий.</p> <p>  Знаки каждой из трёх групп А), Б) и В) бывают двух родов: 1) индивидуальные знаки вполне определённых объектов, операций и отношений, 2) общие знаки «неременных», или «неизвестных», объектов, операций и отношений.</p> <p>  Примеры знаков первого рода могут служить (см. также таблицу):</p> <p>A<sub>1</sub>) Обозначения натуральных чисел 1, 2, 3, 4, 5, 6, 7, 8, 9; трансцендентных чисел <emphasis>е</emphasis> и p; мнимой единицы <emphasis>i.</emphasis></p> <p><emphasis>  </emphasis>Б<sub>1</sub>) Знаки арифметических действий +, —, ·, &#180;,:; извлечения корня <image l:href="#i-images-192035444.png"/>, дифференцирования</p> <image l:href="#i-images-166425698.png"/> <p>знаки суммы (объединения) &#200; и произведения (пересечения) &#199; множеств; сюда же относятся знаки индивидуальных функций sin, tg, log и т.п.</p> <p>  B<sub>1</sub>) Знаки равенства и неравенства =, &gt;, &lt;, &amp;sup1;, знаки параллельности || и перпендикулярности ^, знаки принадлежности &#206; элемента некоторому множеству и включения &#204; одного множества в другое и т.п.</p> <p>  Знаки второго рода изображают произвольные объекты, операции и отношения определённого класса или объекты, операции и отношения, подчинённые каким-либо заранее оговорённым условиям. Например, при записи тождества (<emphasis>a</emphasis> + <emphasis>b</emphasis>)(<emphasis>a</emphasis> — <emphasis>b</emphasis>) = <emphasis>a</emphasis><sup>2</sup><emphasis> — b</emphasis><sup>2</sup> буквы <emphasis>а</emphasis> и <emphasis>b</emphasis> обозначают произвольные числа; при изучения функциональной зависимости <emphasis>у</emphasis> = <emphasis>х</emphasis><sup>2</sup> буквы <emphasis>х</emphasis> и <emphasis>у —</emphasis> произвольные числа, связанные заданным отношением; при решении уравнения</p> <p>  x<sup>2</sup> — 1 = 0</p> <p>  <emphasis>х</emphasis> обозначает любое число, удовлетворяющее данному уравнению (в результате решения этого уравнения мы узнаём, что этому условию соответствуют лишь два возможных значения +1 и —1).</p> <p>  С логической точки зрения, законно такого рода общие знаки называть знаками переменных, как это принято в математической логике, не пугаясь того обстоятельства, что «область изменения» переменного может оказаться состоящей из одного единственного объекта или даже «пустой» (например, в случае уравнений, не имеющих решения). Дальнейшими примерами такого рода знаков могут служить:</p> <p>  A<sub>2</sub>) Обозначения точек, прямых, плоскостей и более сложных геометрических фигур буквами в геометрии.</p> <p>  Б<sub>2</sub>) Обозначения <emphasis>f, F, </emphasis>j для функций и обозначения операторного исчисления, когда одной буквой <emphasis>L</emphasis> изображают, например, произвольный оператор вида:</p> <image l:href="#i-images-145124565.png"/> <p><emphasis>  </emphasis>Обозначения для «переменных отношений» менее распространены, они находят применение лишь в математической логике (см. <emphasis><a l:href="page_010-299">Алгебра логики</a></emphasis>) и в сравнительно абстрактных, по преимуществу аксиоматических, математических исследованиях.</p>  <p>  <emphasis>Лит.:</emphasis> Cajori F., A history of mathematical notations, v. 1—2, Chi., 1928—29.</p> 
</section>
<section id="page_047-641"><title><p>Знаки отличия нагрудные</p></title> <p><strong>Зна'ки отли'чия нагру'дные,</strong> в СССР одна из форм награждения граждан, способствующих своей деятельностью укреплению хозяйственной и оборонной мощи государства. Учреждаются Президиумом Верховного Совета СССР. В Положении о соответствующем З. о. н. указываются показатели, за достижение которых награждаются этим знаком. Награждение производится Президиумом Верховного Совета СССР по представлению Совета Министров СССР или, в соответствии с Положением о З. о. н., приказом соответствующего министерства или ведомства.</p> <p>  Установлены почётные знаки лауреата Ленинской премии и Государственной премии СССР, вручаемые лицам, получившим соответствующие премии (см. <emphasis><a l:href="page_012-135">Государственные премии СССР</a>, <a l:href="page_069-597">Ленинские премии</a></emphasis>).</p> <p><emphasis>  </emphasis>Для рабочих, служащих и колхозников, которым присвоено звание ударника коммунистического труда, введён единый З. о. н. «Ударник коммунистического труда» (постановление Президиума ВЦСПС от 23 сентября 1966, «Справочник профсоюзного работника», М., 1969).</p> <p>  Ряд З. о. н. учрежден в союзных республиках. Так, например, в РСФСР: «Почётный шахтёр», «Отличный дружинник», а также знаки, вручаемые лицам, которым присвоены звания «Заслуженный изобретатель республики» и «Заслуженный рационализатор республики» (см. в ст. <emphasis><a l:href="page_044-799">Звания почётные</a></emphasis>). З. о. н. Следует отличать от <emphasis><a l:href="page_047-783">Значков нагрудных</a>.</emphasis> </p>   
</section>
<section id="page_047-648"><title><p>Знаки пограничные</p></title> <p><strong>Зна'ки пограни'чные,</strong> см. в ст. <emphasis><a l:href="page_013-295">Границы государственные</a>, <a l:href="page_022-734">Демаркация границ</a>.</emphasis> </p>   
</section>
<section id="page_047-653"><title><p>Знаки препинания</p></title> <p><strong>Зна'ки препина'ния,</strong> элементы письменности, служащие для разграничения языковых единиц (смысловых отрезков текста, предложений, словосочетаний, слов, частей слова), для указания на синтаксические и логические отношения между словами, на коммуникативный тип предложения, его эмоциональную окраску, а также для внешней информации о тексте (указание на цитаты, незаконченность высказывания, графические сокращения и пр.). В русском письме и др. современных письменностях латинской и кириллической графики различаются З. п.: 1) на границах крупных смысловых отрезков текста (абзац, красная строка); 2) на границах предложений (.?!...), указывающие на их коммуникативный тип, эмоциональную окраску, степень законченности; 3) указывающие внутри предложения на отношение его частей (,;: —), в том числе двойные знаки, выделяющие словосочетания с обеих сторон: скобки, двойные запятые, двойные тире; 4) внутри слова, делящие слова на смысловые части (дефис) или слоги (дефис во вьетнамской латинице); 5) знаки, указывающие на цитирование и эмоциональное отношение к словам и словосочетаниям (например, кавычки); 6) знаки сокращений (точка, дефис, косая черта: например, «тов.», «к-рый», «п/о»). К З. п. функционально принадлежит и пробел — знак границы слов. Система З. п. современных письменностей: латинской, кириллической, греческой, арабской, еврейской, индийской — едина. Различия между языками касаются частностей: в испанской латинице вопросительный и восклицательный знаки охватывают предложение (или его часть) с обеих сторон (<image l:href="#i-images-104219610.png"/>D&#243;nde vas? — «Куда идёшь?», &#161;Muy bien! — «Очень хорошо!»), в греческом письме «;» служит вопросительным знаком, а точка вверху строки соответствует двоеточию и точке с запятой. Система З. п. европейских языков восходит к александрийским грамматикам 2—1 вв. до н. э. (Аристофан Византийский, Аристарх, Дионисий Фракийский) и получила современный вид в конце 15 в. (система Альда Мануция). В др. системах письма древности и современности З. п. иные. Наиболее распространены знаки словораздела (пробел во многих системах и: в эфиопском письме) и знаки границ предложения (вертикальная линия в индийском письме для санскрит и в тибетском, :: в эфиопском и т.д.). В 20 в. европейская Система З. п. проникает в др. системы письма. Так, она полностью или с модификациями заимствована японским, китайским и корейским письмом и частично (скобки, многоточие, а в некоторых системах — вопросительные и восклицательные знаки, кавычки) проникла в тибетское, эфиопское, бирмское, тайское, лаосское, кхмерское письмо.</p>  <p>  <emphasis>Лит.:</emphasis> Добиаш. Рождественская О. А., История письма в средние века, 2 изд., Л., 1936; Иванова В. Ф., История и принципы русской пунктуации, Л., 1962; Истрин В. А., Возникновение и развитие письма, М., 1965.</p> <p><emphasis>  А. А. Леонтьев, А. Б. Долгопольский. </emphasis></p> 
</section>
<section id="page_047-654"><title><p>Знаки различия военнослужащих</p></title> <p><strong>Зна'ки разли'чия военнослу'жащих,</strong> знаки на форменной одежде военнослужащих для обозначения персональных воинских званий, принадлежности к виду вооруженных сил, роду войск, службе. В СССР устанавливаются Президиумом Верховного Совета СССР.</p> <p>  В современных армиях в качестве З. р. в. применяются <emphasis><a l:href="page_090-179">погоны</a>,</emphasis> знаки на головных уборах, погонах и петлицах, эмблемы, нагрудные и нарукавные знаки, канты и лампасы. В России в стрелецком войске (16—17 вв.) начальные люди (офицеры) отличались от рядовых покроем одежды, вооружением, а также имели трость (посох) и рукавицы или перчатки с запастьями. В регулярной русской армии, созданной Петром I, унтер-офицеры (сержанты) отличались от рядовых золотым галуном, нашитым на обшлагах и вокруг полей шляпы; у офицеров золотой галун был нашит по бортам кафтана или камзола, по краям обшлагов и карманных клапанов. Офицеры имели нагрудные знаки, трёхцветный шарф с серебряными или золотыми кистями и шпагу с вызолоченным эфесом. В России в 1801 были введены погоны разных цветов для различных частей. В 1801 погоны для офицеров были заменены <emphasis><a l:href="page_126-890">эполетами</a>.</emphasis> Первоначально погоны носились на одном или обоих плечах (в зависимости от рода войск), позже — на обоих плечах; на них нашивались или вышивались номера соединений, частей или заглавные буквы их наименований, а также вензеля, присвоенные войсковым частям. В 1827 для определения воинских званий офицеров и генералов на их эполеты были введены звёздочки: на эполетах прапорщика — 1; подпоручика, майора и генерал-майора — 2; поручика, подполковника и генерал-лейтенанта — 3; штабс-капитана — 4; у капитанов, полковников и полных генералов на эполетах звёздочек не было; эполеты генералов, штаб- и обер-офицеров отличались по форме. В 1843 введены З. р. в. младшего командного состава: на погонах фельдфебелей — нашивки из золотистого галуна, а у унтер-офицеров из белого басона. В 1854 вводятся погоны на походное обмундирование офицеров и генералов. Звания у офицеров обозначались числом звёздочек и цветных просветов (продольных полосок) на погонах; у генералов числом звёздочек и зигзагообразным просветом на погонах. Эполеты были оставлены только на парадном обмундировании. Накануне 1-й мировой войны 1914—18 на походном обмундировании введены погоны защитного цвета.</p> <p>  С созданием Красной Армии для определения принадлежности к её составу в 1918 был введён красноармейский нагрудный знак в виде венка из лавровой и дубовых веток, поверх которого помещалась пятиконечная звезда, покрытая красной эмалью. В центре звезды находилась эмблема — плуг и молот. В июле 1918 установлен значок — кокарда для головного убора красноармейцев и командиров (пятиконечная красная звезда с эмблемой плуг и молот в центре). На воротниках шинелей, гимнастёрок нашивались петлицы цветом по роду войск. Впервые З. р. в. в РККА введены в январе 1919 в виде нарукавных знаков из алого сукна, которые нашивались на левый рукав гимнастёрки и шинели над обшлагом. Нашивки состояли из пятиконечной звезды красного цвета, под которой размещались З. р. в. (<strong><emphasis>илл.</emphasis></strong>). В ВМФ З. р. в. командного состава размещались на обоих рукавах выше обшлагов в виде горизонтальных нашивок из позолоченного галуна. Различие между категориями командного состава определялось количеством нашивок и их шириной. С введением в январе 1922 для личного состава РККА новой единой формы одежды З. р. в. стали размещаться на специальном клапане, который нашивался на левый рукав шинели и гимнастёрки по середине рукава из сукна цветом по роду войск с алым кантом (<strong><emphasis>илл.</emphasis></strong>). Всем родам войск, управлениям и учреждениям военного ведомства были введены эмблемы на петлицах шинелей и гимнастёрок. На красноармейском значке вместо плуга и молота стали изображать серп и молот. С 1924 З. р. в. стали изготовляться из красной меди, прикреплялись они на петлицах. Старшему командному составу в марте 1925 вместо квадратов введены прямоугольники.</p> <p>  В декабре 1935 в связи с введением персональных воинских званий З. р. в. установлены соответственно присвоенному званию (см. <emphasis><a l:href="page_044-797">Звания воинские</a></emphasis>). З. р. в. командного состава размещались на петлицах и на рукавах выше обшлагов (<strong><emphasis>илл.</emphasis></strong>). На петлицах военно-политического состава золотой окантовки и эмблемы рода войск не было, на рукавах полагалась красная пятиконечная звезда с серпом и молотом. З. р. в. для военно-технического, военно-юридического, военно-хозяйственного, административного, военно-медицинского и военно-ветеринарного составов носились только на петлицах, у военнослужащих ВМФ З. р. в. располагались только на рукавах. В июле 1940 в связи с установлением генеральских воинских званий были введены З. р. в. на петлицах: генерал-майора — 2, генерал-лейтенанта — 3, генерал-полковника — 4, генерала армии — 5 металлических звёздочек и нарукавные З. р. в.: генералам (до генерал-полковника включительно) — вышитая малая золотая звезда и один угольник из золотого галуна, внизу кант по роду войск; генералу армии — вышитая большая золотая звезда, окаймленная красным кантом, и один угольник из золотого галуна; З. р. в. высшего командного состава, введённые в 1935, были отменены. На петлицах и на нарукавных знаках Маршала Советского Союза установлены вышитые золотом 2 лавровые ветки и эмблема серп и молот. В связи с установлением дополнительных воинских званий были введены З. р. в. на петлицах младшего лейтенанта — 1 квадрат, подполковника — 3 прямоугольника, полковника — 4 прямоугольника. В января 1941 установлены новые З. р. в. для младшего начальствующего состава (в соответствии с воинскими званиями, установленными в ноябре 1940) — петлицы цветом по роду войск или службы, с суконным кантом цветом по роду войск и красным продольным просветом. На петлицах размещались З. р. в.: старшина — 4 эмалевых треугольника, старший сержант — 3, сержант — 2, младший сержант — 1.</p> <p>  Указом Президиума Верховного Совета СССР от 6 января 1943 для личного состава Красной Армии, а 15 февраля для личного состава ВМФ введены погоны. Указом Президиума Верховного Совета от 26 июня 1969 для генералов, адмиралов и офицеров установлены погоны из золотистого или серебристого галуна для парадной и парадно-выходной формы одежды и из защитного галуна для повседневной и полевой форм одежды, а для сержантов, старшин, солдат и матросов — из ткани (галуна) по цвету родов войск при всех формах одежды. На погонах соответственно присвоенному воинскому званию размещаются З. р. в. в виде звёздочек, просветов, нашивок, а также эмблемы или трафареты, указывающие на принадлежность к виду вооруженных сил или роду войск (службе); в ВМФ наряду с погонами имеются нарукавные З. р. в. в виде нашивок (<strong><emphasis>илл.</emphasis></strong>). В 1970 нарукавные З. р. в. для рядового и сержантского состава введены и в др. видах вооруженных сил (<strong><emphasis>илл.</emphasis></strong>).</p> <p>  В большинстве иностранных армий З. р. в. на погонах состоят из поперечных или зигзагообразных нашивок, звёздочек и эмблем (<strong><emphasis>илл.</emphasis></strong>).</p> <p><emphasis> </emphasis></p> <p>  <emphasis>Лит.:</emphasis> Висковатов А. В., Историческое описание одежды и вооружения Российских войск, 2 изд., ч. 1—27, СПБ, 1899-1944; Иллюстрированное описание обмундирования и знаков различия Советской Армии (1918—1958 гг.), Л., 1960.</p> <p><emphasis>  А. Д. Кулешов. </emphasis></p> <image l:href="#i008-pictures-001-288836415.jpg"/><p>Чехословацкая народная армия: 1. Воин. 2. Десятник. 3. Ротмистр. 4. Поручик. 5. Майор. 6. Генерал-поручик.</p><image l:href="#i008-pictures-001-295810290.jpg"/><p>Петлицы к шинелям и летним пальто: 1. Маршал Советского Союза. 2. Общевойсковой генерал. 3. Генералы артиллерии и танковых войск.</p><image l:href="#i009-001-200605796.jpg"/><p>Петлицы к парадно-выходному мундиру (кроме маршалов и генералов): 1. Мотострелковые войска. 2. Авиация. 3. Мед. служба.</p><image l:href="#i009-001-203064659.jpg"/><p>Болгарская народная армия: 1. Солдат. 2. Сержант. 3. Лейтенант. 4. Майор. 5. Генерал-майор.</p><image l:href="#i009-001-205313685.jpg"/><p>Погоны военнослужащих Советской Армии и Военно-Морского Флота. К парадному и парадно-выходному обмундированию: 1. Прапорщик. 2. Ефрейтор. 3. Рядовой.</p><image l:href="#i009-001-207933655.jpg"/><p>Нарукавные знаки различия на парадных тужурках адмиралов и офицеров корабельного и инженерно-корабельного состава ВМФ: 1. Адмирал флота Советского Союза. 2. Капитан 1-го ранга. 3. Лейтенант.</p><image l:href="#i009-001-210984459.jpg"/><p>Румынская народная армия: 1. Солдат. 2. Старший сержант. 3. Лейтенант. 4. Полковник. 5. Генерал-майор.</p><image l:href="#i009-001-211560590.jpg"/><p>Венгерская народная армия: 1. Рядовой. 2. Младший сержант. 3. Старшина. 4. Майор. 5. Генерал-полковник.</p><image l:href="#i009-001-212020120.jpg"/><p>Знаки различия, введённые 3 декабря 1935 (петлицы и нарукавные знаки. Цвет поля петлиц и канта — по роду войск): 1. Маршал Советского Союза. 2. Комкор (пехота). 3. Комдив (автобронетанковые войска).</p><image l:href="#i009-001-212208030.jpg"/><p>Знаки различия, введённые 3 декабря 1935 (петлицы и нарукавные знаки. Цвет поля петлиц и канта — по роду войск): 1. Майор (артиллерия). 2. Капитан (ВВС). 3. Старшина (пехота). 4. Младший комвзвод (хоз. и административный состав).</p><image l:href="#i009-001-220739641.jpg"/><p>Погоны военнослужащих Советской Армии и Военно-Морского Флота. К парадному и парадно-выходному обмундированию: 1. Маршал Советского Союза. 2. Адмирал флота Советского Союза. 3. Главный маршал авиации. 4. Адмирал флота (для шинели). 5. Генерал армии.</p><image l:href="#i009-001-220788729.jpg"/><p>Нарукавные знаки различия командного состава РККА, введённые 16 января 1919: 1. Отделённый командир. 2. Помощник командира взвода. 3. Старшина. 4. Командир взвода. 5. Командир роты. 6. Командир батальона. 7. Командир полка. 8. Командир бригады. 9. Начальник дивизии. 10. Командующий армией. 11. Командующий фронтом.</p><image l:href="#i009-001-225279838.jpg"/><p>Нарукавные знаки различия командного состава РККА, введённые 31 января 1922 (цвет поля клапана — по роду войск): 1. Командир отделения (кавалерия). 2. Командир батальона (дивизиона) (артиллерия). 3. Командующий фронтом.</p><image l:href="#i009-001-226114198.jpg"/><p>Погоны военнослужащих Советской Армии и Военно-Морского Флота. К парадному и парадно-выходному обмундированию: 1. Генерал-лейтенант (инженерные войска, войска связи, технич. войска, интендантская служба). 2. Генерал-майор мед. службы. 3. Капитан 1-го ранга. 4. Подполковник-инженер. 5. Капитан. 6. Младший лейтенант вет. службы (в ВМФ).</p><image l:href="#i009-001-230057816.jpg"/><p>Войско Польское: 1. Старший капрал. 2. Сержант. 3. Старший хорунжий. 5. Генерал бригады. 6. Полковник.</p><image l:href="#i009-001-238117141.jpg"/><p>Знаки различия, введённые 3 декабря 1935 (петлицы и нарукавные знаки. Цвет поля петлиц и канта — по роду войск): 1. Старший лейтенант (пехота). 2. Лейтенант (кавалерия). 3. Отделённый командир (артиллерия). 4. Красноармеец (пехота).</p><image l:href="#i009-001-242659741.jpg"/><p>Нарукавные знаки для прапорщиков, сержантов, солдат и курсантов военных училищ. 1. Воздушнодесантные войска. 2. Инженерные войска. 3. Химические войска и военно-топографическая служба.</p><image l:href="#i010-001-247124836.jpg"/><p>Погоны военнослужащих Советской Армии и Военно-Морского Флота. К повседневному и полевому обмундированию: 1. Прапорщик. 2. Старший сержант. 3. Младший сержант. 4. Курсант воен. училища (рядовой). 5. Курсант военно-морского училища.</p><image l:href="#i010-001-249992636.jpg"/><p>Вооружённые силы США: 1. Рядовой 1-го класса. 2. Сержант. 3. Ворэнт-офицер. 4. Капитан. 5. Майор. 6. Полковник. 7. Генерал.</p><image l:href="#i010-001-254315270.jpg"/><p>Знаки различия, введённые 3 декабря 1935 (петлицы и нарукавные знаки. Цвет поля петлиц и канта — по роду войск): 1. Командарм 1-го ранга. 2. Командарм 2-го ранга. 3. Комбриг (ВВС). 4. Полковник (пехота).</p><image l:href="#i010-001-255088931.jpg"/><p>Вооружённые силы ФРГ: 1. Унтер-офицер. 2. Обер-штабс-фельдфебель. 3. Оберст-лейтенант. 4. Генерал.</p><image l:href="#i010-001-256730495.jpg"/><p>Нарукавные знаки для прапорщиков, сержантов, солдат и курсантов военных училищ. 1. Мотострелковые войска. 2. Артиллерия. 3. Танковые войска. 4. Авиация.</p><image l:href="#i010-001-262464169.jpg"/><p>Погоны военнослужащих Советской Армии и Военно-Морского Флота. К полевому обмундированию: 1. Маршал Советского Союза. 2. Майор. 3. Генерал-полковник.</p><image l:href="#i010-001-268170218.jpg"/><p>Погоны военнослужащих Советской Армии и Военно-Морского Флота. К повседневному и полевому обмундированию: 1. Мичман. 2. Главный корабельный старшина. 3. Старшина 1-й статьи. 4. Старшина 2-й статьи. 5. Старший матрос.</p><image l:href="#i010-001-268581150.jpg"/><p>Погоны военнослужащих Советской Армии и Военно-Морского Флота. К повседневному и полевому обмундированию: 1. Матрос. 2. Воспитанник Суворовского военного училища (г. Калинин). 3. Воспитанник Нахимовского военно-морского училища.</p><image l:href="#i010-001-268748377.jpg"/><p>Нарукавные знаки для прапорщиков, сержантов, солдат и курсантов военных училищ. 1. Военные строители и другие строительные части. 2. Медицинская и вет. служба. 3. Военные дирижёры и музыканты.</p><image l:href="#i010-001-269465919.jpg"/><p>Погоны военнослужащих Советской Армии и Военно-Морского Флота. К повседневному обмундированию: 1. Адмирал флота Советского Союза. 2. Маршал артиллерии. 3. Адмирал (для закрытого кителя). 4. Полковник. 5. Старший лейтенант. 6. Лейтенант.</p><image l:href="#i010-001-269578648.jpg"/><p>Нарукавные знаки для прапорщиков, сержантов, солдат и курсантов военных училищ. 1. Войска связи и радиотехнические войска. 2. Железнодорожные войска. 3. Автомобильные войска. 4. Трубопроводные части.</p><image l:href="#i010-001-270048250.jpg"/><p>Национальная народная армия ГДР: 1. Солдат. 2. Унтер-офицер. 3. Фельдфебель. 4. Лейтенант. 5. Оберст-лейтенант. 6. Генерал-лейтенант.</p><image l:href="#i010-001-282865184.jpg"/><p>Вооружённые силы Франции: 1. Рядовой 1-го класса. 2. Аспирант. 3. Лейтенант. 4. Майор. 5. Бригадный генерал. 6. Маршал Франции.</p><image l:href="#i010-001-283666591.jpg"/><p>Вооружённые силы Великобритании: 1. Капрал. 2. Штаб-сержант. 3. Лейтенант. 4. Майор. 5. Полковник. 6. Генерал. 7. Фельдмаршал.</p>
</section>
<section id="page_047-658"><title><p>Знаки ряби</p></title> <p><strong>Зна'ки ря'би,</strong> следы движения водных или воздушных струй на поверхности не затвердевших осадков побережий различных водоёмов (водная рябь) или на открытой песчаной поверхности (эоловая рябь). В древних толщах З. р. встречаются на пластовых поверхностях осадочных горных пород. </p>   
</section>
<section id="page_047-662"><title><p>Знаки химические</p></title> <p><strong>Зна'ки хими'ческие,</strong> химические символы, сокращённые буквенные обозначения химических элементов. Современные З. х. (см. таблицу) состоят из первой буквы или первой и одной из следующих букв латинского названия элементов.</p> <p>  В <emphasis><a l:href="page_117-032">формулах химических</a></emphasis> и <emphasis><a l:href="page_114-348">уравнениях химических</a></emphasis> каждый З. х. выражает, кроме названия элемента, относительную массу, равную его <emphasis><a l:href="page_080-408">атомной массе</a>.</emphasis> Для обозначения <emphasis><a l:href="page_051-605">изобаров</a></emphasis> и <emphasis><a l:href="page_052-075">изотопов</a></emphasis> к их З. х. приписывают сверху слева (иногда справа) массовое число; атомный номер пишут снизу слева. Если же хотят обозначить не нейтральный атом, а <emphasis><a l:href="page_056-321">ион</a>,</emphasis> то вверху справа ставят заряд иона. Внизу справа указывают число атомов данного элемента в молекуле. Примеры: <image l:href="#i-images-121176558.png"/> — однозарядный ион изотопа хлора (атомный номер 17, массовое число 35); <image l:href="#i-images-108760981.png"/> — двухатомная молекула того же изотопа. Изобары аргона и кальция обозначаются соответственно <image l:href="#i-images-120263448.png"/> и <image l:href="#i-images-117165597.png"/>. Приведённые в таблице З. х. являются международными, но наряду с ними в некоторых странах употребительны знаки, произведённые от национальных названий элементов.</p> <p>  Например, во Франции вместо З. х. азота N, бериллия Be и вольфрама W приняты Az (Azote), Gl (Glucinium) и Tu (Tungst&#232;ne). В США вместо знака ниобия Nb нередко применяют Cb (Columbium). Необщеприняты названия и знаки элементов с атомными номерами 102 и 103 («нобелий» и «лоуренсий»).</p> <p>  Историческая справка. Химики древнего мира и средних веков применяли для обозначения веществ, химических операций и приборов символические изображения, буквенные сокращения, а также сочетания тех и других (см. <strong><emphasis>рис.</emphasis></strong>). Семь металлов древности изображали астрономическими знаками семи небесных светил: Солнца (золото), Луны (серебро), Юпитера (олово), Венеры (медь), Сатурна (свинец), Меркурия (ртуть), Марса (железо). Металлы, открытые в 15—18 вв., — висмут, цинк, кобальт — обозначали первыми буквами их названий. Знак винного спирта (лат. spiritus vini) составлен из букв S и V. Знаки крепкой водки (лат. aqua fortis, азотная кислота) и золотой водки (лат. aqua regis, царская водка, смесь соляной и азотной кислот) составлены из знака воды &#209; и прописных букв F, соответственно R. Знак стекла (лат. vitrum) образован из двух букв V — прямой и перевёрнутой.</p> <p>  Попытки упорядочить старинные З. х. продолжались до конца 18 в. В начале 19 в. английский химик Дж. <emphasis><a l:href="page_018-835">Дальтон</a> </emphasis>предложил обозначать атомы химических элементов кружками, внутри которых помещались точки, чёрточки, начальные буквы английских названий металлов и др. З. х. Дальтона получили некоторое распространение в Великобритании и в Западной Европе, но вскоре были вытеснены чисто буквенными З. х., которые шведский химик И. Я. <emphasis><a l:href="page_113-381">Берцелиус</a></emphasis> предложил в 1814. Высказанные им принципы составления З. х. сохранили свою силу до настоящего времени; они изложены в начале статьи. В России первое печатное сообщение о З. х. Берцелиуса сделал в 1824 московский врач И. Я. Зацепин.</p> <p>Знаки, названия, атомные номера и атомные массы химических элементов</p> <table> <tr> <td> Знак* </td> <td> Латинское название </td> <td> Русское название </td> <td> Атом- ный номер </td> <td> Атомная масса** </td> <td> Знак* </td> <td> Латинское название </td> <td> Русское название </td> <td> Атом-  ный номер </td> <td> Атомная масса** </td> </tr> <tr> <td> Ac </td> <td> Actinium  </td> <td> Актиний  </td> <td> 89 </td> <td> [ 227] </td> <td> Mg </td> <td> Mgnesiom  </td> <td> Магний  </td> <td> 12 </td> <td> 24,305 </td> </tr> <tr> <td> Ag </td> <td> Argentum  </td> <td> Серебро  </td> <td> 47 </td> <td> 107,8680 </td> <td> Mn </td> <td> Manganum  </td> <td> Марганец  </td> <td> 25 </td> <td> 54,9380 </td> </tr> <tr> <td> Al </td> <td> Aluminium  </td> <td> Алюминий  </td> <td> 13 </td> <td> 26,98154 </td> <td> Mo </td> <td> Molebdaenum  </td> <td> Молибден  </td> <td> 42 </td> <td> 95,94 </td> </tr> <tr> <td> Am </td> <td> Americium  </td> <td> Америций  </td> <td> 95 </td> <td> [243] </td> <td> N </td> <td> Nitrogenium  </td> <td> Азот  </td> <td> 7 </td> <td> 14,0067 </td> </tr> <tr> <td> Ar </td> <td> Argonum  </td> <td> Аргон  </td> <td> 18 </td> <td> 39,948 </td> <td> Na </td> <td> Natrium  </td> <td> Натрий  </td> <td> 11 </td> <td> 22,98977 </td> </tr> <tr> <td> As </td> <td> Arsenicum  </td> <td> Мышьяк  </td> <td> 33 </td> <td> 74,9216 </td> <td> Nb </td> <td> Niobium  </td> <td> Ниобий  </td> <td> 41 </td> <td> 92,9064 </td> </tr> <tr> <td> At </td> <td> Astatium  </td> <td> Астат  </td> <td> 85 </td> <td> [210] </td> <td> Nd </td> <td> Neodymium  </td> <td> Неодим  </td> <td> 60 </td> <td> 144,24 </td> </tr> <tr> <td> Au </td> <td> Aurum  </td> <td> Золото  </td> <td> 79 </td> <td> 196,9665 </td> <td> Ne </td> <td> Neonum  </td> <td> Неон  </td> <td> 10 </td> <td> 20,179 </td> </tr> <tr> <td> B </td> <td> Borum  </td> <td> Бор  </td> <td> 5 </td> <td> 10,810 </td> <td> Ni </td> <td> Niccolum  </td> <td> Никель  </td> <td> 28 </td> <td> 58,71 </td> </tr> <tr> <td> Ba </td> <td> Baryum </td> <td> Барий  </td> <td> 56 </td> <td> 137,34 </td> <td> (No) </td> <td> (Nobelium) </td> <td> (Нобелий) </td> <td> 102 </td> <td> [255] </td> </tr> <tr> <td> Be </td> <td> Beryllium  </td> <td> Берилий  </td> <td> 4 </td> <td> 9,01218 </td> <td> Np </td> <td> Neptunium  </td> <td> Нептуний  </td> <td> 93 </td> <td> 237,0482 </td> </tr> <tr> <td> Bi </td> <td> Bismuthum  </td> <td> Висмут  </td> <td> 83 </td> <td> 208,9804 </td> <td> O </td> <td> Oxygenium  </td> <td> Кислород  </td> <td> 8 </td> <td> 15,9994 </td> </tr> <tr> <td> Bk </td> <td> Berkelium  </td> <td> Беркелий  </td> <td> 97 </td> <td> [247] </td> <td> Os </td> <td> Osmium  </td> <td> Осмий  </td> <td> 76 </td> <td> 190,2 </td> </tr> <tr> <td> Br </td> <td> Bromum  </td> <td> Бром  </td> <td> 35 </td> <td> 79,904 </td> <td> P </td> <td> Phosphorus  </td> <td> Фосфор  </td> <td> 15 </td> <td> 30,97376 </td> </tr> <tr> <td> C </td> <td> Carboneum </td> <td> Углерод  </td> <td> 6 </td> <td> 12,011 </td> <td> Pa </td> <td> Protactinium  </td> <td> Протактиний  </td> <td> 91 </td> <td> 231,0359 </td> </tr> <tr> <td> Ca </td> <td> Calcium </td> <td> Кальций  </td> <td> 20 </td> <td> 40,08 </td> <td> Pb </td> <td> Plumbum  </td> <td> Свинец  </td> <td> 82 </td> <td> 207,2 </td> </tr> <tr> <td> Cd </td> <td> Cadmium </td> <td> Кадмий  </td> <td> 48 </td> <td> 112,40 </td> <td> Pd </td> <td> Palladium  </td> <td> Палладий  </td> <td> 46 </td> <td> 106,4 </td> </tr> <tr> <td> Ce </td> <td> Cerium </td> <td> Церий  </td> <td> 58 </td> <td> 140,12 </td> <td> Pm </td> <td> Promethium  </td> <td> Прометий  </td> <td> 61 </td> <td> [145] </td> </tr> <tr> <td> Cf </td> <td> Californium </td> <td> Калифорний  </td> <td> 98 </td> <td> [251] </td> <td> Po </td> <td> Polonium  </td> <td> Полоний  </td> <td> 84 </td> <td> [209] </td> </tr> <tr> <td> Cl </td> <td> Chlorum </td> <td> Хлор  </td> <td> 17 </td> <td> 35,453 </td> <td> Pr </td> <td> Praseodymium  </td> <td> Празеодим  </td> <td> 59 </td> <td> 140,9077 </td> </tr> <tr> <td> Cm </td> <td> Curium </td> <td> Кюрий  </td> <td> 96 </td> <td> [247] </td> <td> Pt </td> <td> Platinum  </td> <td> Платина  </td> <td> 78 </td> <td> 195,09 </td> </tr> <tr> <td> Co </td> <td> Cobaltum </td> <td> Кобальт  </td> <td> 27 </td> <td> 58,9332 </td> <td> Pu </td> <td> Plutonium  </td> <td> Плутоний  </td> <td> 94 </td> <td> [244] </td> </tr> <tr> <td> Cr </td> <td> Chromium </td> <td> Хром  </td> <td> 24 </td> <td> 51,996 </td> <td> Ra </td> <td> Radium  </td> <td> Радий  </td> <td> 88 </td> <td> 226,0254 </td> </tr> <tr> <td> Cs </td> <td> Caesium </td> <td> Цезий  </td> <td> 55 </td> <td> 132,9054 </td> <td> Rb </td> <td> Rubidium  </td> <td> Рубидий  </td> <td> 37 </td> <td> 85,4678 </td> </tr> <tr> <td> Cu </td> <td> Cuprum </td> <td> Медь  </td> <td> 29 </td> <td> 63,546 </td> <td> Re </td> <td> Rhenium  </td> <td> Рений  </td> <td> 75 </td> <td> 186,2 </td> </tr> <tr> <td> Dy </td> <td> Dysprosium  </td> <td> Диспрозий  </td> <td> 66 </td> <td> 162,50 </td> <td> Rh </td> <td> Rhodium  </td> <td> Родий  </td> <td> 45 </td> <td> 102,9055 </td> </tr> <tr> <td> Er </td> <td> Erbium </td> <td> Эрбий  </td> <td> 68 </td> <td> 167,26 </td> <td> Rn </td> <td> Radonum  </td> <td> Радон  </td> <td> 86 </td> <td> [222] </td> </tr> <tr> <td> Es </td> <td> Einsteinium  </td> <td> Эйнштейний  </td> <td> 99 </td> <td> [254] </td> <td> Ru </td> <td> Ruthenium  </td> <td> Рутений  </td> <td> 44 </td> <td> 101,07 </td> </tr> <tr> <td> Eu </td> <td> Europium  </td> <td> Европий  </td> <td> 63 </td> <td> 151,96 </td> <td> S </td> <td> Sulphur  </td> <td> Сера  </td> <td> 16 </td> <td> 32,06 </td> </tr> <tr> <td> F </td> <td> Fluorum  </td> <td> Фтор  </td> <td> 9 </td> <td> 18,99840 </td> <td> Sb </td> <td> Stibium  </td> <td> Сурьма  </td> <td> 51 </td> <td> 121,75 </td> </tr> <tr> <td> Fe </td> <td> Ferrum  </td> <td> Железо  </td> <td> 26 </td> <td> 55,847 </td> <td> Sc </td> <td> Scandium  </td> <td> Скандий  </td> <td> 21 </td> <td> 44,9559 </td> </tr> <tr> <td> Fm </td> <td> Fermium  </td> <td> Фермий  </td> <td> 100 </td> <td> [257] </td> <td> Se </td> <td> Selenium  </td> <td> Селен  </td> <td> 34 </td> <td> 78,96 </td> </tr> <tr> <td> Fr </td> <td> Francium  </td> <td> Франций  </td> <td> 87 </td> <td> [223] </td> <td> Si </td> <td> Silicium  </td> <td> Кремний  </td> <td> 14 </td> <td> 28,086 </td> </tr> <tr> <td> Ga </td> <td> Gallium  </td> <td> Галлий  </td> <td> 31 </td> <td> 69,72 </td> <td> Sm </td> <td> Samarium  </td> <td> Самарий  </td> <td> 62 </td> <td> 150,4 </td> </tr> <tr> <td> Gd </td> <td> Gadolinium  </td> <td> Гадолиний  </td> <td> 64 </td> <td> 157,25 </td> <td> Sn </td> <td> Stannum  </td> <td> Олово  </td> <td> 50 </td> <td> 118,69 </td> </tr> <tr> <td> Ge </td> <td> Germanium  </td> <td> Германий  </td> <td> 32 </td> <td> 72,59 </td> <td> Sr </td> <td> Strontium  </td> <td> Стронций  </td> <td> 38 </td> <td> 87,62 </td> </tr> <tr> <td> H </td> <td> Hydrogenium  </td> <td> Водород  </td> <td> 1 </td> <td> 1,0079 </td> <td> Ta </td> <td> Tantalum  </td> <td> Тантал  </td> <td> 73 </td> <td> 180,949 </td> </tr> <tr> <td> He </td> <td> Helium  </td> <td> Гелий  </td> <td> 2 </td> <td> 4,00260 </td> <td> Tb </td> <td> Terbium  </td> <td> Тербий  </td> <td> 65 </td> <td> 158,9254 </td> </tr> <tr> <td> Hf </td> <td> Hafnium  </td> <td> Гафний  </td> <td> 72 </td> <td> 178,49 </td> <td> Tc </td> <td> Technetium  </td> <td> Технеций  </td> <td> 43 </td> <td> 98,9062 </td> </tr> <tr> <td> Hg </td> <td> Hydrargyrum  </td> <td> Ртуть  </td> <td> 80 </td> <td> 200,59 </td> <td> Te </td> <td> Tellurium  </td> <td> Теллур  </td> <td> 52 </td> <td> 127,60 </td> </tr> <tr> <td> Ho </td> <td> holmium </td> <td> Гольмий  </td> <td> 67 </td> <td> 164,9304 </td> <td> Th </td> <td> Thorium  </td> <td> Торий  </td> <td> 90 </td> <td> 232,0381 </td> </tr> <tr> <td> I </td> <td> Iodum  </td> <td> Иод  </td> <td> 53 </td> <td> 126,9045 </td> <td> Ti </td> <td> Titanium  </td> <td> Титан  </td> <td> 22 </td> <td> 47,90 </td> </tr> <tr> <td> In </td> <td> Indium  </td> <td> Индий  </td> <td> 49 </td> <td> 114,82 </td> <td> Tl </td> <td> Thallium  </td> <td> Таллий  </td> <td> 81 </td> <td> 204,37 </td> </tr> <tr> <td> Ir </td> <td> Iridium  </td> <td> Иридий  </td> <td> 77 </td> <td> 192,22 </td> <td> Tm </td> <td> Thulium  </td> <td> Тулий  </td> <td> 69 </td> <td> 168,9342 </td> </tr> <tr> <td> K </td> <td> Kalium  </td> <td> Калий  </td> <td> 19 </td> <td> 39,098 </td> <td> U </td> <td> Uranium  </td> <td> Уран  </td> <td> 92 </td> <td> 238,029 </td> </tr> <tr> <td> Kr </td> <td> Kryptonum  </td> <td> Криптон  </td> <td> 36 </td> <td> 83,80 </td> <td> V </td> <td> Vanadium  </td> <td> Ванадий  </td> <td> 23 </td> <td> 50,94 </td> </tr> <tr> <td> Ku </td> <td> Kurtschatovim  </td> <td> Курчатовий  </td> <td> 104 </td> <td> [261] </td> <td> W </td> <td> Wolframium  </td> <td> Вольфрам  </td> <td> 74 </td> <td> 183,85 </td> </tr> <tr> <td> La </td> <td> Lanthanum  </td> <td> Лантан  </td> <td> 57 </td> <td> 138,9055 </td> <td> Xe </td> <td> Xenonum  </td> <td> Ксенон  </td> <td> 54 </td> <td> 131,30 </td> </tr> <tr> <td> Li </td> <td> Lithium  </td> <td> Литий  </td> <td> 3 </td> <td> 6,941 </td> <td> Y </td> <td> Yttrium  </td> <td> Иттрий  </td> <td> 39 </td> <td> 88,9059 </td> </tr> <tr> <td> (Lr ) </td> <td> (Lawrencium)  </td> <td> (Лоуренский) </td> <td> 103 </td> <td> [256] </td> <td> Yb </td> <td> Ytterbium  </td> <td> Иттербий  </td> <td> 70 </td> <td> 173,04 </td> </tr> <tr> <td> Lu </td> <td> Lutetium  </td> <td> Лютеций  </td> <td> 71 </td> <td> 174,97 </td> <td> Zn </td> <td> Zincum  </td> <td> Цинк  </td> <td> 30 </td> <td> 65,38 </td> </tr> <tr> <td> Md </td> <td> Mendelevium  </td> <td> Менделевий  </td> <td> 101 </td> <td> [258] </td> <td> Zr </td> <td> Zirconium  </td> <td> Цирконий  </td> <td> 40 </td> <td> 91,22 </td> </tr> </table> <p>* В круглых скобках приведены необщепринятые знаки и названия элементов с атомными номерами 102 и 103. ** Атомные массы приведены по углеродной шкале (атомная масса изотопа углерода <sup>12</sup>С равна 12 точно) и соответствуют международной таблице 1971. В квадратных скобках приведены массовые числа наиболее долгоживущих изотопов радиоактивных элементов. </p>  <p>  <emphasis>Лит.:</emphasis> Ломоносов М. В., Полн. собр. соч., т. 2, М. — Л., 1951, с. 706—709; Джуа М., История химии, пер. с итал., М., 1966; Crosland М. P., Historical studies in the language of chemistry, L., 1962.</p> <p><emphasis>  С. А. Погодин.</emphasis></p> <image l:href="#i010-001-267322732.jpg"/><p>Некоторые химические знаки 18 в. (из кн.: Еркслебен И. Х. П., Начальные основания химии, с немецкого на россииский язык перевёл Н. Соколов, СПБ, 1788, стр. 16—17). Сюрма — сурьмяный блеск Sb<sub>2</sub>S<sub>3</sub>. Орпимент — аурипигмент As<sub>2</sub>S<sub>3</sub>. Мышьяк — трёхокись мышьяка As<sub>2</sub>O<sub>3</sub>. Спиаутер — цинк. Ярь Веницейская — основной ацетат меди. Знак меди надо перевернуть (опечатка в подлиннике).</p>
</section>
<section id="page_047-666"><title><p>Знаковая теория языка</p></title> <p><strong>Зна'ковая тео'рия языка',</strong> общепринятая в структурной лингвистике концепция, рассматривающая язык как специальный вид семиотических (знаковых) систем и ограничивающаяся рассмотрением семиотических (кодовых) свойств языка. З. т. я. стремится к выявлению свойств, общих для языка и др. систем знаков, к определению того, что выделяет язык в совокупности семиологических фактов. Наиболее существенной и специфической особенностью структурной организации языка является наличие более чем одного типа знаков. Так, во всех языках, кроме «предложений», т. е. полных знаков, имеющихся во всякой семиотической системе, есть, по крайней мере, ещё один тип частичных знаков — например «слова», <emphasis><a l:href="page_083-844">означающие</a></emphasis> и <emphasis><a l:href="page_083-843">означаемые</a></emphasis> которых в свою очередь членятся на односторонние, незнаковые, элементы, или т. н. «фигуры» выражения и содержания (например, <emphasis><a l:href="page_116-900">фонемы</a></emphasis>). Такое «многоуровневое строение» можно считать важнейшей типологической характеристикой языка в общесемиологической классификации, т.к. оно является самым непосредственным следствием уникальной способности языка относить свои знаки к любой части человеческого опыта любого рода и связанной с этим способности к бесконечному развитию и модификациям, что отличает язык от тех знаковых систем, в которых аналогичные структурные особенности относятся лишь к факультативному механизму экономии. Основателем З. т. я. считается Ф. де <emphasis><a l:href="page_104-724">Соссюр</a>,</emphasis> первый из лингвистов провозгласивший необходимость создания семиологии — общей науки о знаках, которая включала бы лингвистику в качестве важнейшей составной части. Намеченная Соссюром З. т. я. была развита и модифицирована Л. <emphasis><a l:href="page_037-313">Ельмслевом</a>.</emphasis> В СССР З. т. я. развивается с середины 50-х гг. и разделяется большинством советских лингвистов. См. <emphasis><a l:href="page_047-618">Знак языковой</a>, <a l:href="page_101-166">Семиотика</a>.</emphasis></p> <p><emphasis> </emphasis></p> <p><emphasis>  Лит.:</emphasis> Соссюр Ф. де. Курс общей лингвистики, пер. с франц., М., 1933; Ельмслев Л., Пролегомены к теории языка, в кн.: Новое в лингвистике, в. 1, М., 1960; Мартине А., Основы общей лингвистики, там же, в. 3, М., 1963; Хоккетт Ч. Ф., Проблема языковых универсалий, там же, в. 5, М., 1970; Мартынов В. В., Кибернетика. Семиотика. Лингвистика, Минск, 1966; Материалы к конференции «Язык как знаковая система особого рода», М., 1967; Общее языкознание, М., 1970. гл. 2; Garvin P. L., The definitional model of language, в кн.: Natural language and the computer, N. Y., 1963; Prieto L. J., Messages et signaux. P., 1966.</p> <p><emphasis>  Т. В. Булыгина. </emphasis></p>   
</section>
<section id="page_047-671"><title><p>Знакопечатающая электроннолучевая трубка</p></title> <p><strong>Знакопеча'тающая электро'ннолучева'я тру'бка,</strong> электроннолучевая трубка со знаковой индикацией, индикаторная <emphasis><a l:href="page_126-101">электроннолучевая трубка</a>,</emphasis> на экране которой в месте падения луча высвечивается условное обозначение поступившего электрического сигнала в виде знака (символа, буквы или цифры). З. э. т. пользуются, когда необходимо с большой скоростью воспроизводить и обновлять знаковую информацию, например для дополнения в кодированной форме радиолокационных данных о воздушной обстановке, в электронных системах посадки самолётов в крупных аэропортах и т.д. Различают З. э. т. мгновенного действия (<emphasis><a l:href="page_118-450">характрон</a></emphasis>)<emphasis> </emphasis>и с запоминанием знаков (<emphasis><a l:href="page_108-524">тайпотрон</a></emphasis>)<emphasis>. </emphasis>У первых знак воспроизводится только в течение времени действия электронного луча, записывающего знаки, и времени послесвечения экрана. У вторых однажды записанные знаки светятся на экране практически неограниченное время, вплоть до момента искусственного их стирания. Электроннооптическая система обоих типов З. э. т. одинакова.</p> <p>  В З. э. т. мгновенного действия (<strong><emphasis>рис.</emphasis></strong>) электронный луч, выходящий из прожектора ЭП, проходит через электростатическую отклоняющую систему выбора знака ОСВЗ (первую адресную систему) и попадает на определённое место матрицы М — металлической пластины с отверстиями в форме различных знаков. Луч одновременно перекрывает лишь один выбранный знак матрицы. После прохождения матрицы луч приобретает в поперечном сечении вид знака, через который он прошёл. Затем электронный луч, пройдя фокусирующую катушку ФК, попадает в компенсирующую отклоняющую систему КОС, возвращающую его на ось З. э. т. Далее луч проходит через вторую адресную отклоняющую систему АОС (магнитную или электростатическую), направляющую его в определённое место экрана трубки, где и высвечивается знак, соответствующий поступившему в неё сигналу. Экран З. э. т. чаще всего имеет двухслойную структуру. Непосредственно на стекло трубки наносится слой люминофора, обладающий при облучении жёлтым свечением с различным временем послесвечения от долей секунды до нескольких десятков секунд. На первый слой наносится второй, в котором при попадании на него электронного луча возникает голубое свечение, возбуждающее свечение первого слоя. Экраны обычно имеют круглую форму и диаметр до 500 <emphasis>мм.</emphasis></p> <p><emphasis>  З.</emphasis> э. т. с запоминанием знаков отличается от З. э. т. мгновенного действия дополнительным введением запоминающей сетчатой мишени перед экраном такого же типа, как в <emphasis><a l:href="page_043-669">запоминающей электроннолучевой трубке</a></emphasis> с видимым изображением на экране, и источника широкого электронного луча (воспроизводящего прожектора), одновременно высвечивающего на экране все знаки, записанные на мишени.</p> <p><emphasis>  В. И. Баранов.</emphasis></p>   <image l:href="#i010-001-247565071.jpg"/><p>Электроннооптическая система знакопечатающей трубки: ЭП — электронный прожектор; ОСВЗ — отклоняющая система выбора знака; М — матрица знаков (букв, цифр); ФК — фокусирующая катушка; КОС — компенсирующая отклоняющая система; АОС — адресная отклоняющая система.</p>
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<section id="page_047-679"><title><p>Знакочередующийся ряд</p></title> <p><strong>Знакочереду'ющийся ряд,</strong> бесконечный ряд, члены которого попеременно положительны и отрицательны:</p> <p>  <emphasis>u</emphasis><sub>1</sub><emphasis> — u</emphasis><sub>2</sub><emphasis> + u</emphasis><sub>3</sub><emphasis> — u</emphasis><sub>4</sub> + … + (—1) <sup>n-1</sup><emphasis> u<sub>n</sub> </emphasis>+...;</p> <p><emphasis>  u<sub>k</sub></emphasis> &gt; 0.</p> <p>  Если члены З. р. монотонно убывают (<emphasis>u</emphasis><sub>n+1</sub> &lt; <emphasis>u<sub>n</sub></emphasis>) и стремятся к нулю (lim u<sub>n</sub> = 0), то ряд сходится (теорема Лейбница). Остаток сходящегося З. р.</p> <p>  <emphasis>r</emphasis><sub>n</sub> = (—1) <sup>n</sup> <emphasis>u</emphasis><sub>n+1</sub><emphasis> </emphasis>+ …</p> <p>  имеет знак своего первого члена и меньше его по абсолютной величине. Простейшие примеры сходящихся З. р.:</p> <image l:href="#i-images-199960074.png"/>   
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<section id="page_047-683"><title><p>Знамена</p></title> <p><strong>Знаме'на</strong> в музыке, знаки русского старинного безлинейного нотного письма. См. <emphasis><a l:href="page_066-836">Крюки</a>, <a l:href="page_047-695">Знаменный распев</a>.</emphasis> </p>   
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<section id="page_047-689"><title><p>Знаменатель</p></title> <p><strong>Знамена'тель</strong> арифметической дроби</p> <image l:href="#i-images-139841535.png"/> <p>число <emphasis>n,</emphasis> показывающее (знаменующее) размеры долей единицы, из которых составлена дробь. З. алгебраической дроби</p> <image l:href="#i-images-100396313.png"/> <p>где <emphasis>А</emphasis> и<emphasis> В —</emphasis> два алгебраических выражения, называют выражение <emphasis>В.</emphasis> </p>   
</section>
<section id="page_047-691"><title><p>Знаменка</p></title> <p><strong>Зна'менка,</strong> город (с 1938), центр Знаменского района Кировоградской области УССР. Ж.-д. узел. 27,4 тыс. жителей (1970). Предприятия по обслуживанию ж.-д. транспорта, пищевой промышленности; завод металлоизделий. С.-х. техникум, филиал Одесского ж.-д. техникума. Краеведческий музей. </p>   
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<section id="page_047-692"><title><p>Знаменка вторая</p></title> <p><strong>Зна'менка втора'я,</strong> посёлок городского типа в Кировоградской области УССР, в 7 <emphasis>км </emphasis>от г. Знаменка. Лесозаготовки. </p>   
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<section id="page_047-695"><title><p>Знаменный распев</p></title> <p><strong>Зна'менный распе'в</strong>, основной фонд русских церковных напевов. Название происходит от старославянского слова «знамя». Знаменами, или <emphasis><a l:href="page_066-836">крюками</a>,</emphasis> назывались безлинейные знаки, применявшиеся для записи напевов. Первоначально название З. р. означало записанные напевы, в отличие от пения по устной традиции. З. р. сложился в 12 в. на основе заимствованных из народных песенности кратких мотивов, получивших название полевок; они подчинялись системе <emphasis><a l:href="page_085-359">осмогласия</a>.</emphasis> Количество полевок постепенно увеличивалось, и в 16 в. З. р. достиг апогея своего развития. Мелодии из псалмодийных переросли в широкораспевные, с цветистым высотным контуром и сложным ритмом. В 17 в. в связи с общей тенденцией к упрощению напевов ради лучшего ощущения лада и большей ясности текстов песнопения З. р. подверглись сокращению. Редакцию с купюрами стали называть малым. а несокращённую — большим З. р. В 1772 мелодии З. р. (Обиход, Ирмологий, Октоих и Праздники) были изданы в квадратной ноте (см. <emphasis><a l:href="page_082-713">Нотное письмо</a></emphasis>). Многие мелодии З. р. гармонизованы П. П. Турчаниновым, А. Ф. Львовым, П. И. Чайковским, А. Д. Кастальским, С. В. Рахманиновым и др.</p>  <p>  <emphasis>Лит.:</emphasis> Разумовский Д. В., Церковное пение в России. М.. 1867—1869; Металлов В.. Очерк истории православного пения в России, 4 изд., М., 1915; Вознесенский И., О церковном пении православной Греко-Российской церкви. Большой знаменный напев. К., 1897; Бражников М., Пути развития и задачи расшифровки знаменного роспева, XII—XVIII веков. Л. — М., 1949; Успенский Н., Древнерусское певческое искусство, 2 изд., М., 1971; его же. Образцы древнерусского певческого искусства, 2 изд., Л., 1971.</p> <p><emphasis>  Н. Д. Успенский. </emphasis></p>   
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<section id="page_047-702"><title><p>Знаменск</p></title> <p><strong>Зна'менск</strong> (бывший Велау), посёлок городского типа в Гвардейском районе Калининградской области РСФСР. Расположен на правом берегу р. Преголя у впадения р. Лава. Ж.-д. станция в 50 <emphasis>км</emphasis> к В. от Калининграда. Бумажная фабрика, маргариновый и мукомольный заводы. </p>   
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<section id="page_047-705"><title><p>Знаменские</p></title> <p><strong>Зна'менские,</strong> братья, советские легкоатлеты-бегуны, заслуженные мастера спорта СССР (1936). Родились в с. Зелёная Слобода, ныне Раменского района Московской области В 1941 окончили 2-й Московский медицинский институт. В беге на 1500 <emphasis>м,</emphasis> 2000 <emphasis>м</emphasis>, 3000 <emphasis>м</emphasis>, 5000 <emphasis>м</emphasis> и 10 000 <emphasis>м</emphasis> 23 раза улучшали рекорды СССР. Георгий Иванович З. [13(26). 11.1903—28.12.1946, Москва]. Член КПСС с 1941. Лучшие результаты в беге: 1500 <emphasis>м</emphasis> — 3 <emphasis>мин</emphasis> 57,9 сек; 3000 <emphasis>м — </emphasis>8 <emphasis>мин</emphasis> 47,4 <emphasis>сек.</emphasis> Награжден 2 орденами, а также медалями. Серафим Иванович З. [20.1(2.2).1906—7.5.1942, Москва], одиннадцатикратный чемпион СССР (1934—40) в беге на различные дистанции. Лучшие результаты: 1500 <emphasis>м — </emphasis>3 <emphasis>мин</emphasis> 59,9 <emphasis>сек</emphasis>; 5000 <emphasis>м —</emphasis> 14 <emphasis>мин</emphasis> 37,0 <emphasis>сек</emphasis>;<emphasis> </emphasis>10 000 <emphasis>м —</emphasis> 30 <emphasis>мин</emphasis> 44,8 <emphasis>сек.</emphasis> Награжден орденом «Знак Почёта». З. — победители многих крупнейших международных соревнований. В 1949 учрежден приз французской газеты «Юманите» имени братьев З.; в 1949 были проведены первые всесоюзные соревнования памяти братьев З., которые с 1958 проводятся ежегодно как международные.</p>  <p>  <emphasis>Лит.:</emphasis> Потемкина А., Флагманы беговой дорожки, в кн.: Спорт и век, [М., 1967]. </p>   
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<section id="page_047-709"><title><p>Знамёнщик</p></title> <p><strong>Знамёнщик,</strong> знаменосец, лицо, на которое возложена почётная обязанность нести <emphasis><a l:href="page_047-714">знамя</a></emphasis> в строю. В русской армии назначался из унтер-офицеров, имеющих боевые награды. В Советской Армии З. назначается приказом по части из сержантов или офицеров, преимущественно имеющих правительственные награды, и отличников боевой и политической подготовки. К нему назначаются два ассистента для охраны знамени и замены З., если он выйдет из строя. </p>   
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<section id="page_047-714"><title><p>Знамя</p></title> <p><strong>Зна'мя</strong> воинское, символ воинской части; состоит из полотнища (куска ткани) определённого размера и цвета, прикрепленного к древку с навершием (обычно металлический верхний наконечник в виде копья или др. изображения).</p> <p>  З. как знак для сбора и объединения воинов, хорошо видимый издали, появилось в государствах Древнего Востока, Индии, Китая и др. ещё в древние времена в виде какого-либо изображения на высоком древке (жерди). К древку или к поперечине иногда прикреплялись особые дощечки (цоколь) или куски материи (полотнища), на которых помещались надписи и символического изображения. В Древнем Риме, например, роль З. играл орёл, фигура которого на древке являлась знаком легиона. С 11 в. на З. появляются гербы, позднее изображение креста и др. христианских святынь. В 15 в. во Франции были впервые установлены место З. в строю, воздаваемые ему почести, обязанности по защите З., наказание за его потерю и др. С начала 16 в. в кавалерийских частях З. стало называться штандартом. У древних славян З. называлось стягом и имело вид шеста с пуком травы или конской гривой вверху. Впоследствии З. стали матерчатыми, различных цветов. Слово «знамя» взамен слова «стяг» вошло в употребление в России в конце 15 в. С образованием в 1550 стрелецких полков им стали жаловать З. большого размера (одно на полк) и малого размера (по одному на каждую сотню). При Петре I (начало 18 в.) были установлены определённые формы и рисунок З. с соответствующей расцветкой для различных частей. Полк, потерявший в бою З., подлежал расформированию. За захват в бою вражеских З. давались особые награды. В русской армии имелись З. полковые (в кавалерийских полках — штандарты) и войсковые (у казачьих войск).</p> <p>  З. в войсках Красной Армии появились в 1918. Они имели красный цвет; размеры полотнища, содержание и характер рисунка были разные. Первые З. вручались частям партийными и советскими организациями, рабочими фабрик, заводов, принимавшими участие в формировании части.</p> <p>  В июне 1926 ЦИК и СНК СССР утвердили единый образец З. для частей РККА. В Великую Отечественную войну 1941—45 Президиум Верховного Совета СССР утвердил новый образец Красного З. воинских частей (Указ от 21 дек. 1942), образцы Красного З. и положение о них для Гвардейской армии и Гвардейского корпуса (Указ от 11 июня 1943), новый образец Красного З. для частей и соединений Военно-морского флота (Указ от 5 февраля 1944).</p> <p>  З. части (соединения) Советской Армии состоит из двустороннего полотнища красного цвета, древка и шнура с кистями (см. <strong><emphasis>рис.</emphasis></strong>). К З. прикрепляются ордена СССР, если часть награждена ими, и орденские ленты. Боевые корабли имеют военно-морской флаг СССР — белое полотнище с голубой полоской вдоль нижней кромки, на котором изображены пятиконечная звезда, серп и молот красного цвета (см. <emphasis><a l:href="page_116-540">Флаг военно-морской</a></emphasis>). В соответствии с Уставом внутренней службы Вооружённых Сил Союза ССР, утвержденным Президиумом Верховного Совета СССР 23 августа 1960, З. выдаётся полкам, бригадам (состоящим из батальонов или дивизионов, не имеющих общевойсковой нумерации), отдельным батальонам, дивизионам, авиаэскадрильям, военно-учебным заведениям и учебным частям, флотским экипажам. Соединениям, частям местных стрелковых войск, дисциплинарным частям, а также медико-санитарным, автомобильным и некоторым др. З. не выдаётся, за исключением тех соединений и частей, которые награждены орденами СССР. Гвардейским частям вручаются гвардейские З. (см. <emphasis><a l:href="page_008-865">Гвардия советская</a></emphasis>).</p> <p>  Знамя вручается воинской части после её сформирования от имени Президиума Верховного Совета СССР. З. сохраняется за частью на всё время, независимо от изменения наименования и нумерации части. З. всегда находится со своей частью, а на поле боя — в районе боевых действий части. При утрате З. командир части и непосредственные виновники подлежат суду военного трибунала, а воинская часть — расформированию. З. — «... символ воинской чести, доблести и славы, оно является напоминанием каждому солдату, сержанту, офицеру и генералу об их священном долге преданно служить Советской Родине...» (Устав внутренней службы Вооружённых Сил Союза ССР, 1969, с. 191).</p>  <p>  <emphasis>Лит.:</emphasis> Устав внутренней службы Вооруженных Сил Союза ССР, М., 1969; Рейпольский С. Н., Боевое Красное знамя, М., 1964.</p> <p><emphasis>  А. С. Максименко.</emphasis></p>   <image l:href="#i009-001-215653688.jpg"/><p>Знамя воинской части.</p>
</section>
<section id="page_047-716"><title><p>«Знамя»</p></title> <p><strong>«Зна'мя»,</strong> ежемесячный литературно-художественный и общественно-политический журнал, орган Союза писателей СССР. Издаётся в Москве с 1931. В 1931—32 выходил под названием «Локаф» («Литературное объединение писателей Красной Армии и флота».). На страницах «З.» большое место отводится оборонной тематике. В журнале были опубликованы «Капитальный ремонт» Л. Соболева, «На востоке» П. Павленко, «Мы из Кронштадта» Всеволода Вишневского, «Народ бессмертен» В. Гроссмана, «Зоя» М. Алигер, «Сын» П. Антокольского, романы К. Симонова «Живые и мёртвые», «Солдатами не рождаются», «Последнее лето» и многое др. Постоянные разделы журнала: проза, поэзия, публицистика и очерк, критика и библиография и др. Тираж (1972) 160 тыс. экз.</p>  <p>  <emphasis>Лит.:</emphasis> Журналистика и критика [30-х годов: 40—50-х годов], в кн.: История русской советской литературы, т. 2—3, М., 1967—68; Дмитриева Т. Б., «Знамя», в кн.: Очерки истории русской советской журналистики. 1933—1945, М., 1968. </p>   
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<section id="page_047-722"><title><p>«Знамя труда»</p></title> <p><strong>«Зна'мя тру'да»,</strong> 1) газета, центральный орган партии <emphasis><a l:href="page_127-137">эсеров</a>.</emphasis> Издавалась нерегулярно с 10 (23) июля 1907 по апреля 1914, первоначально в России (нелегально), с августа 1908 — в Париже. Вышло 53 номера. В редакцию входили члены ЦК партии эсеров: Н. Д. <emphasis><a l:href="page_073-268">Авксентьев</a>,</emphasis> Г. А. <emphasis><a l:href="page_009-922">Гершуни</a>, </emphasis>В. М. <emphasis><a l:href="page_121-967">Чернов</a></emphasis> и др. «З. т.» пропагандировала индивидуальный террор и союз с буржуазными либералами, нападала на большевиков. 2) Ежедневная политическая и литературная газета, центральный орган партии <emphasis><a l:href="page_069-177">левых эсеров</a>. </emphasis>Выходила с 23 августа (5 сентября) 1917 в Петрограде, с 15 марта 1918 — в Москве. Редакторы — В. В. Иванов-Разумник, Б. Д. <emphasis><a l:href="page_058-284">Камков</a>,</emphasis> М. А. Спиридонова и др. «З. т.» критиковала буржуазное Временное правительство и руководство правых эсеров, одобряла декреты Великой Октябрьской социалистической революции, но осуждала идею установления диктатуры пролетариата в России. С весны 1918 газета выступала против партии большевиков и В. И. Ленина, против подписания Брестского мира. Закрыта в июле 1918 после <emphasis><a l:href="page_069-166">левоэсеровского мятежа</a>.</emphasis> </p>   
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<section id="page_047-724"><title><p>Знанецкий Флориан Витольд</p></title> <p><strong>Знане'цкий</strong> (Znaniecki) Флориан Витольд (15.1.1882, Светники, Польша, — 23.3.1958, Урбана, США), буржуазный социолог. Учился в Кракове, Женеве, Париже. В 1920—39 профессор социологии и философии культуры Познанского университета. Основал Польский социологический институт (1921) и журнал «Przegl&#261;d socjologiczny» (1930). В 1941 принял гражданство США; в 1941—1951 профессор социологии Иллинойсского университета. В 1953—54 президент Американского социологического общества.</p> <p>  В ранних философских работах по проблемам познания, ценностей и др. заметно влияние Г. Риккерта, В. Виндельбанда, А. Бергсона. В работе «Польский крестьянин в Европе и Америке» (1918—20; совместно с американским социологом У. Томасом), считающейся классической в немарксистской социологии, впервые для анализа применены понятия «личностные установки», ценности, а также методы изучения «личных документов» (писем, дневников, автобиографий и др.). З. — один из основателей теории социального действия. По З., общество есть культурная система, состоящая из социальных, экономических, технологических и др. подсистем и изучаемая совокупностью культурных наук. Социальные системы, исследуемые социологией, З. делил на 4 подсистемы: действия, отношения, личности и группы. Природа социальной системы, по З., определяется характером социальных действий индивидов, в основе которых находятся ценности и установки. В этих представлениях выражена идеалистическая основа его взглядов. Работы З. оказали влияние на развитие немарксистской социальной психологии и социологии.</p>  <p>  Соч.: Humanizm i poznanie, Warsz., 1912; Wst&#281;p do socjologii, Poznan, 1922; The laws of social psychology, Warsz., [1925]; Socjologja wychowania, t. 1—2, Warsz., 1928—30; The method of sociology, N. Y., 1934; Social actions, N. Y., 1967; The social role of the man of knowledge, N. Y., 1965; Cultural sciences, Urbana, 1963; Modern nationalities, Urbana, 1952; Social relations and social roles, S. F., 1965.</p>  <p>  <emphasis>Лит.:</emphasis> Беккер Г. и Босков А., Современная социологическая теория..., пер. с англ., М., 1961; Martindale D., The nature and types of sociological theory, L., 1961; Szczepa&#324;ski J., Socjologia, 2 wyd., Warsz., 1967.</p> <p><emphasis>  Ш. А. Гумеров. </emphasis></p> 
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<section id="page_047-729"><title><p>Знание</p></title> <p><strong>Зна'ние,</strong> проверенный практикой результат познания действительности, верное её отражение в сознании человека. З. противоположно незнанию, т. е. отсутствию проверенной информации о чём-либо. Элементарные З., обусловленные биологическими закономерностями, свойственны и животным, у которых они служат необходимым условием жизнедеятельности организма, реализации его поведенческих актов. З. могут быть житейскими, донаучными, художественными и научными, а последние — эмпирическими и теоретическими. Житейские З., как правило, сводятся к констатации фактов и их описанию, тогда как научные З. поднимаются до уровня объяснения фактов, осмысления их в системе понятий данной науки, включаются в состав теории. Сущность научных З. заключается в понимании действительности в её прошлом, настоящем и будущем, в достоверном обобщении фактов, в том, что за случайным оно находит необходимое, закономерное, за единичным — общее и на этой основе осуществляет предвидение. Мышление человека постоянно движется от незнания к З., от поверхностного к всё более глубокому и всестороннему З. См. ст. <emphasis><a l:href="page_109-847">Теория познания</a></emphasis> и литературу при ней.</p> <p><emphasis>  А. Г. Спиркин. </emphasis></p> 
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<section id="page_047-750"><title><p>«Знание - сила»</p></title> <p><strong>«Зна'ние — си'ла»,</strong> ежемесячный научно-популярный и научно-художественный иллюстрированный журнал для молодёжи, орган Всесоюзного общества «Знание». Издаётся в Москве с 1926 (в 1942—45 не выходил). В журнале освещаются важнейшие современные проблемы науки и техники, рассказывается об интересных фактах и событиях прошлого и др. Тираж (1972) 500 тыс. экз. </p>   
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<section id="page_047-739"><title><p>«Знание» (Всесоюзное общество)</p></title> <p><strong>«Зна'ние»</strong> Всесоюзное общество, в СССР добровольная общественная организация, призванная вести распространение политических и научных знаний, способствовать коммунистическому воспитанию трудящихся. Учреждено в 1947 как Всесоюзное общество по распространению политических и научных знаний, с 1963 — «Знание». Руководящий орган общества — Правление, избираемое на всесоюзных съездах сроком на 4 г. Первым председателем Правления был академик С. И. Вавилов, с 1966 Правление возглавляет академик И. И. Артоболевский.</p> <p>  Всесоюзное общество «З.» объединяет 15 обществ «З.» союзных республик. Организации общества имеются во всех автономных республиках, краях, областях, национальных округах, в городах и районах. В научных учреждениях, учебных заведениях, на предприятиях и т.д. созданы первичные организации общества «З.». На 1 января 1972 общество «З.» насчитывало 2457 тыс. членов, в том числе 1700 академиков и член-корреспондентов АН СССР, АН союзных республик и отраслевых академий, 107 тыс. докторов и кандидатов наук, профессоров и доцентов. В 1972 Всесоюзное общество «З.» награждено орденом Ленина.</p> <p>  Общество организует по всем отраслям знания публичные лекции, научные доклады и конференции, семинары, тематические вечера, устные журналы, народные чтения, творческие отчёты учёных в производственных коллективах, беседы, научные консультации, участвует в пропаганде знаний по радио и телевидению, в создании научных и научно-популярных фильмов. В 1970 членами общества было прочитано 18,5 млн. лекций, на которых присутствовало свыше 950 млн. чел. Большую работу общество ведёт в <emphasis><a l:href="page_080-177">народных университетах</a>.</emphasis></p> <p>  Общество располагает в Москве <emphasis><a l:href="page_090-905">Политехническим музеем</a>,</emphasis> Центральной политехнической библиотекой (см. <emphasis><a l:href="page_115-918">Библиотека политехническая</a></emphasis>), Центральным лекторием (с большим и малым залами), Планетарием, Опытно-экспериментальной фабрикой наглядных пособий и демонстрационной аппаратуры. Общество имеет лектории, планетарии, дома научно-технической пропаганды (в Москве, Ленинграде и Киеве), дома научного атеизма (в Москве, Фрунзе, Ташкенте).</p> <p>  Значительное место в деятельности Всесоюзного общества «З.» занимает печатная пропаганда. Обществу принадлежит издательство «Знание». В Москве обществом выпускаются журналы «Международная жизнь» (на русском, английском и французском языках), «Наука и жизнь», «Знание — сила», «Наука и религия», «Слово лектора» и др., в ряде союзных республик выходят аналогичные издания.</p> <p>  Всесоюзное общество «З.» поддерживает постоянные контакты с аналогичными обществами социалистических стран, с рабочими просветительскими союзами и ассоциациями содействия развитию науки ряда капиталистических стран.</p> <p>  Ежегодно лучшим лекторам, в том числе прогрессивным зарубежным учёным, присуждается медаль имени С. И. Вавилова.</p> <p><emphasis>  Ю. К. Фишевский. </emphasis></p>   
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<section id="page_047-746"><title><p>«Знание» (издательство)</p></title> <p><strong>«Зна'ние»,</strong> издательство Всесоюзного общества «Знание». Основано в 1951 в Москве. Выпускает научно-популярную литературу по различным отраслям знания — подписные серии «Новое в жизни, науке, технике» (24 серии), «Народный университет» (7 факультетов), серию методических указаний и разработок лекций «В помощь лектору», массовую серию «Прочти, товарищ», международные научно-популярные ежегодники «Наука и человечество» (с 1962), «Будущее науки» (с 1967) и др. В 1971 издательством было выпущено 633 книги и брошюры тиражом 30 млн. 215 тыс. экз. </p>   
</section>
<section id="page_047-735"><title><p>«Знание» (книгоиздат. товарищество)</p></title> <p><strong>«Зна'ние»,</strong> книгоиздательское товарищество в Петербурге в 1898—1913, организованное деятелями Комитета грамотности (К. П. Пятницкий и др.) с культурно-просветительскими целями. Первоначально издательство выпускало преимущественно научно-популярные книги по естествознанию, истории, народному образованию, искусству. В 1900 в «З.» вошёл М. Горький; в конце 1902 он возглавил издательство после его реорганизации. Горький объединил вокруг «З.» писателей-реалистов, отражавших в своих произведениях оппозиционные настроения русского общества. Выпустив за короткое время собрания сочинений М. Горького (9 тт.), А. Серафимовича, А. И. Куприна, В. В. Вересаева, Скитальца (С. Г. Петрова), Н. Д. Телешова, С. А. Найденова и др., «З.» приобрело известность как наиболее прогрессивное издательство, ориентирующееся на широкие демократические круги читателей. В 1904 издательство приступило к выпуску «Сборников товарищества «Знание» (до 1913 вышло 40 книг). В. И. Ленин писал, что Горький стремился в этих сборниках «... концентрировать лучшие силы художественной литературы» (Полн. собр. соч., 5 изд., т. 48, с. 3). Тираж сборников доходил до 65 тыс. экз. Они включали произведения М. Горького, А. П. Чехова, А. И. Куприна, А. Серафимовича, Л. Н. Андреева, И. А. Бунина, В. В. Вересаева и др. Печатались также переводы.</p> <p>  Протест против царизма, капиталистического гнёта, национальной розни, религиозных предрассудков, мещанской морали — всё это в 1905—07 объединяло участников сборников. На фоне критического реализма большинства «знаньевцев» выделялись, с одной стороны, Горький и Серафимович как художники зарождавшегося социалистического реализма, с другой — Андреев и некоторые др., подверженные влияниям декаданса. После Революции 1905—07 это размежевание усилилось. С 1911 основное редактирование сборников «З.» перешло к В. С. Миролюбову.</p> <p>  Наряду с выпуском собраний сочинений молодых литераторов и сборников товариществом «З.» издавалась т. н. «Дешёвая библиотека», в которой печатались небольшие произведения писателей-«знаньевцев». Кроме того, по заданию большевиков Горький осуществлял издание серии социально-политических брошюр, в том числе произведений К. Маркса, Ф. Энгельса, П. Лафарга, А. Бебеля и др. Всего в «Дешёвой библиотеке» вышло более 300 названий (общий тираж около 4 млн. экз.).</p> <p>  В годы реакции, наступившей после Революции 1905—07, многие участники «З.» покинули книгоиздательство и перешли в лагерь, враждебный передовой литературе. Горький, вынужденный в эти годы жить за границей, в 1912 порвал с издательством.</p>  <p>  <emphasis>Лит.:</emphasis> Касторский С., М. Горький и поэты-«знаньевцы». в кн.: М. Горький и поэты «Знания», Л., 1958; Бугров Б. С., Драматургия «Знания», в сборнике: Горьковские чтения, [т. 8], М., 1964. </p>   
</section>
<section id="page_047-759"><title><p>Знаточество</p></title> <p><strong>Знато'чество,</strong> направление в искусствознании, определившееся в конце 19 в. Представители З. (В. Боде и М. Фридлендер в Германии, Б. Бернсон в США, Дж. Морелли, А. Вентури и Р. Лонги в Италии, К. Хофстеде де Грот в Голландии и др.) ставят своей целью определение ценности произведений искусства (а также открытие новых), используя при этом их детальное изучение, <emphasis><a l:href="page_080-880">атрибуцию</a> </emphasis>(с помощью художественной интуиции, накопленного зрительного опыта и знания фактического материала), их описание и систематизацию.</p>  <p>  <emphasis>Лит.:</emphasis> Фридлендер М., Знаток искусства, М., 1923. </p>   
</section>
<section id="page_047-764"><title><p>Знахарство</p></title> <p><strong>Зна'харство,</strong> известные с глубокой древности у всех народов примитивные способы лечения, обычно сопровождавшиеся различными ритуалами.</p> <p>  На ранних этапах развития человечества З. не отделялось от <emphasis><a l:href="page_080-115">народной медицины</a></emphasis> и составляло профессию знахарей (врачевателей, ведунов). Вместе с тем З. было под влиянием теургической (религиозной) медицины, в которой господствовала вера в происхождение болезней от злых духов. В классовом обществе знахарей стали использовать в интересах религиозного культа. З. постепенно превращалось в ремесло, в средство обогащения самих знахарей. С развитием общественной жизни содержание, формы и виды З. существенно изменялись. Современные проявления З. различны в зависимости от территориальных и национальных особенностей, характера традиций, уровня общей культуры, степени распространения религиозных предрассудков и др.</p> <p>  Невежественно заимствуя методы и способы научной медицины, знахарь превращает лечение в грубое, подчас преступное шарлатанство, нередко прибегает к домостроевским инструментам и операциям (патологические роды, аборты). В капиталистических странах фармацевтический рынок наводнён патентованными препаратами, за выпуском которых не осуществляется должного контроля со стороны правительственных органов, чему способствует и беззастенчивая реклама, которая создаётся частными предпринимателями, являющимися и «лекарями», и продавцами своих снадобий. В буржуазных и особенно в колониальных и экономически слаборазвитых странах широкому развитию З. способствует также недоступность медицинской помощи для огромной массы трудящихся. В дореволюционной России З. было распространено, особенно в деревнях, чему способствовали недостаточность медицинской помощи, суеверие и невежество. На национальных окраинах царской России доверием трудящихся злоупотребляли знахари-хакимы, табибы, хетимы и др.</p> <p>  В СССР благодаря росту культуры и материального благосостояния народа, широкой доступности для населения бесплатной квалифицированной медицинской помощи и развитию санитарного просвещения отсутствует почва для З. В борьбе с З. решающее значение имеют мероприятия Советского государства, направленные на развитие здравоохранения. Борьба с З. приобретает наибольший эффект, если она объединяется с атеистической пропагандой. По советскому законодательству установлена уголовная ответственность за <emphasis><a l:href="page_006-949">врачевание незаконное</a>.</emphasis></p> <p><emphasis>  Б. Д. Петров. </emphasis></p>   
</section>
<section id="page_047-768"><title><p>Значащие цифры</p></title> <p><strong>Зна'чащие ци'фры </strong>в приближённых вычислениях, все цифры числа, начиная с 1-й слева, отличной от нуля, до последней, за правильность которой можно ручаться. Например, если измерение произведено с точностью до 0,0001 и дало результат 0,0320, то З. ц. будут 3, 2 и 0. Подробнее см. <emphasis><a l:href="page_092-632">Приближённые вычисления</a>.</emphasis> </p>   
</section>
<section id="page_047-770"><title><p>Значение</p></title> <p><strong>Значе'ние,</strong> содержание, связываемое с тем или иным выражением (слова, предложения, знака и т.п.) некоторого языка. З. языковых выражений изучается в языкознании, логике и семиотике. В науке о языке под З. (см. <emphasis><a l:href="page_047-776">Значение лексическое</a></emphasis>) понимают смысловое содержание <emphasis><a l:href="page_103-294">слова</a>.</emphasis> В логике (и семиотике) под З. языкового выражения понимают тот предмет или класс предмета, который обозначается (называется) этим выражением (предметное, или экстенсиональное, З.), а под смыслом выражения (смысловым, или интенсиональным, З.) — его мыслимое содержание, т. е. ту заключённую в выражении информацию, благодаря которой происходит отнесение выражения к тому или иному предмету (предметам). Например, предметным З. выражений «Вечерняя звезда» и «Утренняя звезда» является один и тот же предмет — планета Венера, в то время как их мысленные содержания — смысловые З. — различны. Изучение вопросов, связанных с критериями равенства З. (смыслов) — критериев <emphasis><a l:href="page_102-412">синонимии</a></emphasis> языковых выражений, составляет одну из задач <emphasis><a l:href="page_071-057">логической семантики</a>.</emphasis> См. также <emphasis><a l:href="page_053-613">Имя</a>, <a l:href="page_047-595">Знак</a></emphasis> и литературу при этих статьях.</p> <p><emphasis>  Б. В. Бирюков. </emphasis></p>   
</section>
<section id="page_047-776"><title><p>Значение лексическое</p></title> <p><strong>Значе'ние лекси'ческое,</strong> та часть семантического состава слова, которая в противоположность грамматическому значению целых классов и категорий слов присуща лишь данной лексической единице. Лексическое содержание большинства полнозначных лексем неоднородно и представляет собой смысловую структуру, иерархическую соподчинённость отдельных значений или, под иным углом зрения, лексико-семантических вариантов слова. Это свойство организации лексической семантики называется полисемией, или семантическим варьированием слова. В зависимости от характера предметной и понятийной отнесённости слова значения могут быть прямыми и переносными, в зависимости от степени контекстуальной обусловленности — свободными, фразеологически связанными, конструктивно обусловленными.</p>  <p>  <emphasis>Лит.:</emphasis> Виноградов В. В., Основные типы лексических значений слова, «Вопросы языкознания», 1953, №5; Ахманова О. С., Очерки по общей и русской лексикологии, М., 1957; Кацнельсон С. Д., Содержание слова, значение и обозначение, М. — Л., 1965; Уфимцева А. А., Слово в лексико-семантической системе языка, М., 1968; Ullmann S., Semantics. An introduction to the science of meaning, Oxf., 1964; Schmidt W., Lexikalische und aktuelle Bedeutung, 4 Aufl., B., 1967.</p> <p><emphasis>  А. А. Уфимцева. </emphasis></p>   
</section>
<section id="page_047-778"><title><p>Значимости уровень</p></title> <p><strong>Зна'чимости у'ровень</strong> статистического критерия, вероятность ошибочно отвергнуть основную проверяемую гипотезу, когда она верна. В теории статистической проверки гипотез З. у. называется вероятностью ошибки первого рода. Понятие «З. у.» возникло в связи с задачей проверки согласованности теории с опытными данными. Если, например, в результате наблюдений регистрируются значения <emphasis>n</emphasis> случайных величин <emphasis>X<sub>1</sub>,..., X<sub>n</sub></emphasis> и если требуется по этим данным проверить гипотезу <emphasis>Н,</emphasis> согласно которой совместное <emphasis><a l:href="page_095-547">распределение</a></emphasis> величин <emphasis>X<sub>1</sub></emphasis>,..., <emphasis>X<sub>n</sub></emphasis> обладает некоторым определённым свойством, то соответствующий статистический критерий конструируется с помощью подходящим образом подобранной функции Y = <emphasis>f </emphasis>(<emphasis>X<sub>1</sub>,</emphasis>..., <emphasis>X<sub>n</sub></emphasis>)<emphasis>;</emphasis> эта функция обычно принимает малые значения, когда гипотеза <emphasis>Н</emphasis> верна, и большие значения, когда <emphasis>Н</emphasis> ложна. В частности, если <emphasis>X<sub>1</sub></emphasis>,..., <emphasis>X<sub>n</sub> — </emphasis>результаты независимых измерений некоторой известной постоянной <emphasis>а</emphasis> и гипотеза <emphasis>Н</emphasis> представляет собой предположение об отсутствии в результатах измерений систематических ошибок, то для проверки <emphasis>Н</emphasis> разумно в качестве <emphasis>Y</emphasis> выбрать (<emphasis>2m — n</emphasis>)<emphasis><sup>2</sup>,</emphasis> где <emphasis>m —</emphasis> количество тех результатов измерений <emphasis>X<sub>1</sub></emphasis>, которые превышают истинное значение <emphasis>а.</emphasis> Наблюдаемое в опыте большое значение <emphasis>Y</emphasis> можно рассматривать как значимое статистическое опровержение гипотетического согласия между результатами наблюдений и проверяемой гипотезой. Соответствующий критерий значимости представляет собой правило, согласно которому значимыми считаются значения <emphasis>Y</emphasis>, превосходящие заданное критическое значение <emphasis>у.</emphasis> В свою очередь выбор величины <emphasis>у</emphasis> определяется заданным З. у., который в случае справедливости гипотезы <emphasis>Н</emphasis> совпадает с вероятностью события {<emphasis>Y</emphasis>&gt;<emphasis>y</emphasis>}. Примеры критериев значимости см. в статьях <emphasis><a l:href="page_105-992">Статистическая проверка гипотез</a>, <a l:href="page_107-185">Стьюдента распределение</a>, <a l:href="page_118-972">«Хи-квадрат» распределение</a>.</emphasis></p> <p><emphasis>  </emphasis>При выборе З. у. следует учитывать ущерб, неизбежно возникающий при использовании любого критерия значимости. Так, например, если З. у. чрезмерно велик, то основной ущерб будет происходить от ошибочного отклонения правильной гипотезы; если же З. у. мал, то ущерб будет, как правило, возникать от ошибочного принятия гипотезы, когда она ложна. Практически при обычных статистических расчётах в качестве З. у. выбирают вероятность в пределах от 0,01 до 0,1. Значения З. у., меньшие, чем 0,01, используются, например, при статистическом выявлении токсичных медицинских препаратов, а также в других особых случаях, когда первостепенное значение приобретает гарантия от ошибочного отклонения проверяемой гипотезы.</p>  <p>  <emphasis>Лит.:</emphasis> Крамер Г., Математические методы статистики, пер. с англ., М., 1948.</p> <p><emphasis>  Л. Н. Большев. </emphasis></p>   
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<section id="page_047-783"><title><p>Значки нагрудные</p></title> <p><strong>Значки' нагру'дные,</strong> в СССР одна из форм поощрения рабочих и служащих за особые трудовые заслуги. Учреждены для награждения рабочих и служащих, отличившихся в социалистических соревновании, а также для награждения передовиков отдельных отраслей производства, систематически выполняющих и перевыполняющих плановые задания («Почётному работнику морского флота», «Почётному полярнику», «Отличник кинематографии ССР» и др. Ряд З. и. Учрежден союзных республиках, например в РСФСР — «Отличник профессионально-технического образования», «Отличник службы быта», «За работу без аварий», «Отличник социального обеспечения» и др.</p> <p>  Учреждение З. н., а также утверждение их образцов и ежегодного тиража выпуска производятся в порядке, определяемом соответственно Советами Министров союзных республик, министерствами и ведомствами СССР (постановление Совета Министров СССР от 20 декабря 1958; СП СССР, 1958, №20, ст. 157). Введение З. н. для отличников социалистического соревнования, а также утверждение их образцов и ежегодных тиражей должны производиться по согласованию с соответствующими профсоюзными органами (постановление Совета Министров СССР от 2 марта 1959; СП СССР, 1959, № 4, ст. 28). В РСФСР учреждение З. н., посвященных различным событиям и отмечаемым в установленном порядке юбилейным датам, а также установление их тиража производятся с разрешения Совета Министров РСФСР (постановление Совета Министров РСФСР от 22 октября 1964; СП РСФСР, 1964, № 19, ст. 136).</p> <p>  Отличившиеся работники представляются к награждению З. н. местными профсоюзными, хозяйственными и партийными организациями. Вручение З. н. производится на собраниях рабочих и служащих. Лица, награжденные З. н. «Отличник социалистического соревнования», находятся на особом учёте на предприятии и пользуются преимуществом при выдвижении по работе, а также в вопросах жилищного и культурно-бытового обслуживания. Лишение З. н. производится за поступки, несовместимые с почётным званием отличника социалистического соревнования, постановлениями организаций, которыми было принято решение о награждении. Профсоюзные активисты и работники профсоюзных органов могут быть награждены З. н. «За активную работу в профсоюзах».</p> <p>  <emphasis>С. С. Каринский.</emphasis> </p>   
</section>
<section id="page_047-786"><title><p>Знобь-Новгородское</p></title> <p><strong>Знобь-Но'вгородское,</strong> посёлок городского типа в Середино-Будском районе Сумской области УССР. Ж.-д. станция (Чигинок) на линии Хутор-Михайловский — Унеча. Маслодельный, хлебный, кирпичный заводы. Лугомелиоративная станция. </p>   
</section>
<section id="page_047-789"><title><p>Зноймо</p></title> <p><strong>Зно'ймо</strong> (Znojmo), город в Чехословакии, в Чешской Социалистической Республике, в Южно-Моравской области 26 тыс. жителей (1970). Пищевая, текстильная, керамическая промышленность. </p>   
</section>
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