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Для измереl= 5;ия длины, мас= сы, времени, с&= #1080;лы тока при = 76;уманы прибо&= #1088;ы и процеду = 88;ы измерения.= Чтобы узнат= 100; длину стерж= ;ня, достаточ&#= 1085;о приложить= ; к нему линей&= #1082;у с деления = 84;и, силу тока l= 4;ожно измери&#= 1090;ь амперметр= ;ом. Мы так час= то измеряем = 095;то-то или поl= 3;ьзуемся рез&#= 1091;льтатами чь= ;их-то измере&#= 1085;ий, что не за= 076;умываемся н= ад этим проц= 077;ссом. А ведь &#= 1082;огда-то давl= 5;о желание по&= #1076;елиться свl= 6;им впечатле&#= 1085;ием о количk= 7;стве дичи ил&= #1080; о ее размер= 077; вызывали за= ;труднение: в&#= 1077;дь каждый чm= 1;вствует по-с&= #1074;оему.

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То, что &= #1086;дному многl= 6;, другому мал= о; одному хор&#= 1086;шо, другому - &#= 1087;лохо; одномm= 1; вкусно, друг= ой лучше пог= 086;лодает, чем l= 9;танет это ес&= #1090;ь.
А как узнать = количество = 80;нформации в = сообщении, в &#= 1082;аких единиц= ;ах эту инфор&#= 1084;ацию измеря= ;ть?

 

 

При = 074;ычислениях,= поиске нужн= 086;й справки, нk= 2;писании нау&#= 1095;ной статьи l= 7;роисходит п&#= 1077;реработка и= ;нформации. Р&#= 1072;зно­образн&#= 1099;е действия l= 9; информацие&#= 1081; и их ком­бин= ;ации называ= 102;тся информа= ционными пр = 86;­цессами.

С давних = пор люди зад= 091;мывались на= д тем, как с по= мощью техни = 95;еских средс&= #1090;в упроститn= 0; и ускорить р= аботу с инфо= 088;мацией. Изоб= ;рете­ние кнl= 0;гопечатани= 103; позволило б= ;ыстро копи­l= 8;овать инфор&#= 1084;ацию и облеk= 5;чило её хран&= #1077;ние. В XIX в. заметно у= 074;еличились т= емпы переда = 95;и информаци&= #1080;: сначала па= 088;оходы и паро= ;возы стали п&#= 1077;ревозить по= ;чту, затем по&= #1103;вился теле­= граф, а в конц&= #1077; века — теле= 092;он. В XX в. и = 85;фор­мация п= 088;евратилась = в глобальну = 02; — её можно пk= 7;редавать за &= #1089;читанные сk= 7;кунды в любу&= #1102; точ­ку земн= ;ого шара, при&= #1095;ём не тольк = 86; тексты, но и = 80;зображения. = Информация = 93;ранится теп&= #1077;рь в запися = 93; на бумаге, мk= 2;гнитных лен&#= 1090;ах, компакт- = 76;исках, в комп= ;ьютерной па= 084;яти.

 

В лю= 073;ом обществе= люди переда= 102;т, хранят и п = 77;рерабатыва&#= 1102;т информаци= ;ю. Сообщение &= #1087;о радио, зво= 085;ок на урок, к = 88;асный свет с= вето­фора — k= 4;се это перед&= #1072;ча информаm= 4;ии. Запи­си в &= #1076;невнике, др = 77;вние папиру&= #1089;ы, библиоте = 82;и, архивы, спl= 8;авочные сис&#= 1090;емы — это хр = 72;нили­ща инф= 086;рмации.

В XX в. появил= ись техниче = 89;кие устройс&= #1090;ва и прибор = 99; для перераб= отки информ = 72;ции. Любое ав= ;томатическ = 86;е устройств&= #1086; перерабатm= 9;вает информ&#= 1072;цию: поезд, н= 072;жимая на опр= ;еделённый у= 095;асток рельс= а, передаёт с&#= 1080;гнал, включk= 2;ющий красны&#= 1081; свет светоm= 2;ора; приборы = автоматичеl= 9;кой телефон&#= 1085;ой станции ( = 40;ТС) преобраз= уют номер те= 083;ефона, набир= ;аемый нами, в = соедине­ние= с нужным або&#= 1085;ентом. Вершl= 0;ной техниче&s= hy;ских достиж&= #1077;ний в облас = 90;и работы с ин= ;форма­цией n= 3;вляется ком&#= 1087;ьютер.

Чел = 86;вечество вс&= #1077;гда пользоk= 4;алось инфор&s= hy;мацией, но то= ;лько в серед&#= 1080;не XX в. информа­ц= ;ионные проц= 077;ссы стали пр= ;едметом нау= 095;ных исследо= ваний. Совок= 091;пность наук= об инфор­маm= 4;ионных проц&#= 1077;ссах называ= ;ют и= нформати­ко= й. Одна из н= их — наука об &= #1080;змерении и = 87;е­редаче ин= 092;ормации - наk= 9;ывается т= еорией инфо = 88;мации.

Если в= 099; хотите узна= ;ть ответы на &= #1074;се эти вопр = 86;сы, научитьс= я определят = 00; количество = информации, = 090;о этот сайт k= 6;ля вас!

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Н&= #1077;смотря на ш = 80;рокое распр&= #1086;странение n= 1;того термин&#= 1072;, понятие ин = 92;ормации явл&= #1103;ется одним = 80;з самых диск= уссионных в = 085;ауке. В настl= 6;ящее время н&= #1072;ука пытаетl= 9;я найти общи&= #1077; свойства и = 079;акономерно&= #1089;ти, присущи = 77; многогранн&= #1086;му понятию = 80;нформация, н= о пока это по&#= 1085;ятие во мноk= 5;ом остается &= #1080;нтуитивным= ; и получает р&= #1072;зличные смm= 9;словые напо&#= 1083;нения в разl= 3;ичных отрас&#= 1083;ях человече= ;ской деятел= 100;ности:

· <= ![endif]>в обиходе и = 85;формацией н&= #1072;зывают любm= 9;е данные или = сведения, ко= 090;орые кого-ли= ;бо интересу= 102;т. Например, = 89;ообщение о к= аких-либо со= 073;ытиях, о чьеl= 1;-либо деятел&= #1100;ности и т.п. "&#= 1048;нформирова= ть" в этом см= 099;сле означае= т "сообщить = 85;ечто, неизве= стное раньш = 77;";

· <= ![endif]>в те = 93;нике под инф= ормацией по = 85;имают сообщ&= #1077;ния, переда = 74;аемые в форм= е знаков или &#= 1089;игналов;

· в ки = 73;ернетике по&= #1076; информациk= 7;й понимают т&= #1091; часть знан = 80;й, которая ис= ;пользуется = 076;ля ориентир= ования, акти= 074;ного действ= ия, управлен= 080;я, т.е. в целях &= #1089;охранения, = 89;овершенств&#= 1086;вания, развl= 0;тия системы (= Н. Винер).

Клод Шенн= ;он, а&#= 1084;ериканский= учёный, зало&#= 1078;ивший основ= ;ы теории инф&#= 1086;рмации - нау = 82;и, изучающей= процессы, св&#= 1103;занные с пеl= 8;едачей, приё&= #1084;ом, преобра = 79;ованием и хр= анением инф = 86;рмации, - расl= 9;матривает и&#= 1085;формацию ка= ;к снятую нео&#= 1087;ределеннос= ть наших зна= 085;ий о чем-то.
Современно= 077; научное пре= ;дставление = 086;б информаци= и очень точн= 086; сформулиро= вал   &nb= sp;            =             &nb= sp;  
i= 3;орберт Вине&#= 1088;, «отец» = киб = 77;рнетики, а им= ;енно:  =             &nb= sp;            =             &nb= sp;            =             &nb= sp;            =               = ; Инфор = 84;ация - это обl= 6;значение со&#= 1076;ержания, поl= 3;ученного из &= #1074;нешнего миl= 8;а в процессе = нашего прис = 87;особления к = нему и присп= 086;собления к н= ;ему наших чу&#= 1074;ств.

 

 

 

Люди обменl= 0;ваются инфо&#= 1088;мацией в фоl= 8;ме сообщени&#= 1081;. Сообщение - &#= 1101;то форма прk= 7;дставления &#= 1080;нформации в= ; виде речи, те= кстов, жесто= 074;, взглядов, и = 79;ображений, ц= ифровых дан = 85;ых, графиков= , таблиц и т.п. i= 8;ермин "инфо= 088;мация" в инф= орматике яв = 83;яется перви&= #1095;ным, неопре = 76;еляемым. Отс= утствие стр = 86;гого опреде&= #1083;ения, однак = 86;, не мешает нk= 2;м измерять о&= #1073;ъем информk= 2;ции и обраба&= #1090;ывать ее, по= 076;обно тому, кk= 2;к отсутстви&#= 1077; строгого оl= 7;ределения п&#= 1088;ямой и точкl= 0; в планиметр&= #1080;и не мешает = 085;ам рисовать= треугольни = 82;и, доказыват= ь теоремы и р&#= 1077;шать задачи= ;.

Информа&#= 1094;ия - это = 85;е только све= дения из кни= 075;и, газетной k= 9;аметки или п&= #1077;редачи новl= 6;стей, но и све= ;дения, котор&#= 1099;е хранятся k= 4; рельефе клю&= #1095;а, в структу= 088;е с сложной k= 3;иологическ= 086;й молекулы, k= 4; радиосигна&#= 1083;ах, передавk= 2;емых на  космичес&#= 1082;ий корабль.

Термин &l= aquo;инфl= 6;рмация» п&= #1088;оисходит оm= 0; латинского &= #1089;лова «informatio», что озна&= #1095;ает сведенl= 0;я, разъяснен&= #1080;я изложениk= 7;.

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Вопрос "как= ; измерить ин&#= 1092;ормацию?" оч= ;ень непрост= 086;й. Ответ на н = 77;го зависит о= т того, что по&= #1085;имать под и = 85;формацией. П= ока остаемс = 03; на прежней п= ;озиции: инфо&#= 1088;мация - это з= 085;ания челове= ка. Отсюда сл&#= 1077;дует вывод, = 95;то сообщени&= #1077; информатиk= 4;но (содержит = ненулевую и = 85;формацию), ес= ;ли оно попол&#= 1085;яет знания m= 5;еловека. Нап&= #1088;имер, прогн = 86;з погоды на з= ;автра - инфор&= #1084;ативное соl= 6;бщение, а соо= бщение о вче= 088;ашней погод= е неинформа = 90;ивно: нам это= ; уже известн&#= 1086;.

Пока мы нау = 95;ились разли&= #1095;ать лишь дв = 77; ситуации: "н= ет информац = 80;и" - "есть инф= ормация", то = 077;сть количес= тво информа = 94;ии равно нул= ю или не равн&#= 1086; нулю. Но, оче&#= 1074;идно, для из = 84;ерения инфо&= #1088;мации этогl= 6; недостаточ&#= 1085;о. Нужна еди = 85;ица измерен&= #1080;я, тогда мы с&#= 1084;ожем опреде= ;лять, в каком = сообщении и = 85;формации бо&= #1083;ьше, в каком &#= 1084;еньше.
Единица изм&#= 1077;рения инфор= ;мации была о&#= 1087;ределена в l= 5;ауке, котора&= #1103; называетсn= 3; теорией инф&= #1086;рмации. Эта = 077;диница назы= вается "бит"= ;. Ее определе&= #1085;ие звучит т = 72;к:
С&= #1086;общение, ум = 77;ньшающее не&= #1086;пределенно= ;сть знаний ч&#= 1077;ловека в двk= 2; раза, несет д= ;ля него 1 б&= #1080;т информацl= 0;и.

Игрk= 2;льный кубик &= #1089; шестью гра = 85;ями может с р= ;авной вероя= 090;ностью упас= ть на любую и&#= 1079; них. Значит, &#= 1085;еопределен= ность знани = 81; о результат= е бросания к= 091;бика равна ш= ;ести.

неопред&#= 1077;ленность зн= ;аний о некот&#= 1086;ром событии= ; - это количес= тво возможн = 99;х результат&= #1086;в события =

Что = 90;акое "неопр&#= 1077;деленность= знаний"? Луч= 096;е всего это l= 6;бъяснить на &= #1087;римерах.
Допустим, вы = бросаете мо = 85;ету, загадыв= ая, что выпад&#= 1077;т: орел или р= 077;шка? Есть всk= 7;го два вариа&= #1085;та возможнl= 6;го результа&#= 1090;а бросания l= 4;онеты. Приче&= #1084;, ни один из э&= #1090;их вариантl= 6;в не имеет пр= еимущества = 87;еред другим.= В таком случ&#= 1072;е говорят, ч = 90;о они равнов= ероятны.Так = 074;от, в этом сл = 91;чае перед по= дбрасываниk= 7;м монеты нео&= #1087;ределеннос= ;ть знаний о р&= #1077;зультате рk= 2;вна двум.

Верl= 5;емся к приме&= #1088;у с монетой. &#= 1055;осле того, к = 72;к вы бросили= монету и пос&#= 1084;отрели на нk= 7;е, вы получил= и зрительно = 77; сообщение, ч= ;то выпал, нап&= #1088;имер, орел. П&#= 1088;оизошло одн= ;о из двух воз&= #1084;ожных собыm= 0;ий. Неопреде&= #1083;енность знk= 2;ний уменьши&#= 1083;ась в два ра = 79;а: было два вk= 2;рианта, оста&= #1083;ся один. Зна= 095;ит, узнав реk= 9;ультат брос&#= 1072;ния монеты, = 74;ы получили = 1 бит информk= 2;ции

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Пусть в н= екотором со = 86;бщении соде&= #1088;жатся сведk= 7;ния о том, что= ; произошло о&#= 1076;но из N равно = 74;ероятных со&= #1073;ытий (равно = 74;ероятность &= #1086;бозначает, = 95;то ни одно со= ;бытие не име&#= 1077;т преимущес= ;тв перед дру&#= 1075;ими). Тогда к= 086;личество ин= формации, за= 082;люченное в э= ;том сообщен= 080;и, - х бит и чис&= #1083;о N свяk= 9;аны формуло&#= 1081;:

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x - э&= #1090;о степень, в &#= 1082;оторую нужн= ;о возвести 2, чтобы полуm= 5;ить N.
Если N = равl= 5;о целой степ&= #1077;ни двойки (2, 4, 8, 16 и т.д.), то т&#= 1072;кое уравнен= ;ие можно реш&#= 1080;ть "в уме". В = 87;ротивном сл&= #1091;чае количеl= 9;тво информа&#= 1094;ии становит= ;ся нецелой в&#= 1077;личиной, и д = 83;я решения за= дачи придет = 89;я воспользо&= #1074;аться таблl= 0;цей логариф&#= 1084;ов.

Данl= 5;ая формула я&= #1074;ляется покk= 2;зательным у&#= 1088;авнением от= ;носительно = 085;еизвестной = х. Из математ&#= 1080;ки известно= ;, что решение = такого урав = 85;ения имеет в= ид:

<= !--[if gte vml 1]> True True (``````````` (``````````` 0 1028700 1190625

При = 84;ер: При = 73;росании мон&= #1077;ты сообщенl= 0;е о результа&= #1090;е жребия (на= 087;ример, выпал= ; орел) несет = 1 бит информk= 2;ции, посколь&= #1082;у количестk= 4;о возможных &= #1074;ариантов рk= 7;зультата ра&#= 1074;но 2 (орел или ре = 96;ка). Оба эти в = 72;рианта равн&= #1086;вероятны.

Отвk= 7;т может быть = получен из р= 077;шения уравн= ения:

откуда, очев&= #1080;дно, следуе = 90;: х =3D
1 бит.

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<= span style=3D'font-size:14.0pt;font-family:"Times New Roman";language:RU;mso-a= nsi-language: RU'>В задаче о ш= 072;рах определ= им количест = 74;о информаци&= #1080; в сообщени = 80; о попадании= белого шара &#= 1080; черного шаl= 8;а:
xб =3D=3D 2;
x
ч=3D =3D 0,3.

Р = 72;ссмотрим пр&= #1080;мер.
В ко = 88;обке имеетс&= #1103; 32 шара. Из них 24 белых и 8 черных. Оче = 74;идно, вероят= ность того, ч&#= 1090;о при вытасl= 2;ивании "не г&#= 1083;ядя" попаде= тся белый ша= 088; больше, чем = 74;ероятность &= #1087;опадания чk= 7;рного.

<= span style=3D'font-size:14.0pt;font-family:"Times New Roman";color:maroon; language:RU;mso-ansi-language:RU'>Обозн = 72;чим = P= ч - вероятнос&#= 1090;ь попадания= ; при вытаски&#= 1074;ании черног= ;о шара, = P= б - вероятнос&#= 1090;ь попадания= ; белого шара. = Тогда: = Pч =3D 8/32=3D 0,25; Pб =3D24/32 =3D 0,75.


Pч =3D 8/32=3D 0,25; Pб =3D24/32 =3D= 0,75.

Отсn= 2;да видно, что= вероятност = 00; попадания б= елого шара б= 086;льше, чем чеl= 8;ного. Из расс= мотренных п = 88;имеров можн&= #1086; сделать вы = 74;од: есл = 80; N - это= ; общее число &= #1074;озможных иl= 9;ходов каког&#= 1086;-то процессk= 2; (вытаскиван&= #1080;е шара), и из н= их интересу = 02;щее нас собы= тие (вытаски= 074;ание белого= шара) может п&= #1088;оизойти К р = 72;з, то вероятн= ;ость этого с&#= 1086;бытия равна= ; K/N.
Верl= 6;ятность выр&#= 1072;жается в доl= 3;ях единицы. В= частном слу= 095;ае, вероятно= ;сть достове= 088;ного событи= я равна 1 (из 32 = белm= 9;х шаров выта&= #1097;ен белый ша = 88;); вероятност= ;ь невозможн= 086;го события р= ;авна нулю (из = 32 белых шароk= 4; вытащен чер&= #1085;ый шар).

К&= #1072;чественную= ; связь между &= #1074;ероятность= ;ю события и к&= #1086;личеством l= 0;нформации в &= #1089;ообщении оk= 3; этом событи&= #1080; можно выра = 79;ить так: чем l= 4;еньше вероя&#= 1090;ность некот= ;орого событ= 080;я, тем большk= 7; информации &= #1089;одержит соl= 6;бщение об эт&= #1086;м событии.
Кол = 80;чественная &= #1079;ависимость= ; между вероя&#= 1090;ностью собы= ;тия (р) и колич= ;еством инфо= 088;мации в сооб= ;щении о нем (= x) выражается= ; формулой:

В = задаче о шар= 072;х определим= количество = 080;нформации в= сообщении о &#= 1087;опадании бе= ;лого шара и ч&= #1077;рного шара:
xб =3D=3D 2;
x
ч=3D =3D 0,3.

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Следова&#= 1090;ельно, при а = 83;фавитном по&= #1076;ходе к изме = 88;ению информ&= #1072;ции количеl= 9;тво информа&#= 1094;ии от содерk= 8;ания не зави&= #1089;ит. Количес = 90;во информац&= #1080;и зависит о = 90; объема текс= та (то есть от = числа знако = 74; в

текl= 9;те) и от мощно= ;сти алфавит= 072;

В компью&= #1090;ере для пре = 76;ставления т&= #1077;кстов испоl= 3;ьзуется алф&#= 1072;вит из 256 символов. О = 76;ин символ из= такого алфа= 074;ита несет в m= 0;ексте 8 бит информk= 2;ции.

Сфоl= 8;мулируем пр&#= 1072;вило, как из = 84;ерить инфор&= #1084;ацию, испол = 00;зуя для этог= о алфавитны = 81; подход.
Кол = 80;чество инфо&= #1088;мации, соде = 88;жащееся в си= мвольном со = 86;бщении, равн= о К х X, где= ; К- число симв= олов в текст= 077; сообщения, a X- информацио= ;нный вес сим&#= 1074;ола, которыl= 1; находится и&= #1079; уравнения

где
N - мощ = 85;ость исполь&= #1079;уемого алфk= 2;вита.

В&= #1089;е множествl= 6; используем&#= 1099;х в языке си = 84;волов будем = традиционнl= 6; называть ал&= #1092;авитом. Обы = 95;но под алфав= итом понима = 02;т только бук= вы, но поскол&#= 1100;ку в тексте = 84;огут встреч&= #1072;ться знаки = 87;репинания, ц= ифры, скобки, &= #1090;о мы их тоже &#= 1074;ключим в алm= 2;авит. В алфав= ит также сле= 076;ует включит= ь и пробел (пр&= #1086;межуток меk= 8;ду словами). Пол = 85;ое число сим= волов алфав = 80;та принято н= азывать мощ = 85;остью алфав&= #1080;та. Будk= 7;м обозначат&#= 1100; эту величиl= 5;у буквой N. Н&= #1072;пример, мощ = 85;ость алфави&= #1090;а из русски = 93; букв и допол= ;нительных с= 080;мволов равн= а 54.
Предста&#= 1074;им себе, что = 090;екст к нам пl= 6;ступает пос&#= 1083;едовательн= о, по одному з&= #1085;аку, словно = 073;умажная лен= точка, выпол= 079;ающая из тел= ;еграфного а= 087;парата. Пред= ;положим, что &= #1082;аждый появl= 3;яющийся на л&= #1077;нте символ = 89; одинаковой = вероятностn= 0;ю может быть = любым симво = 83;ом алфавита.= (В действите&#= 1083;ьности это l= 5;е совсем так,= но для упрощ&#= 1077;ния примем m= 0;акое предпо&#= 1083;ожение.)
В каждой оче&= #1088;едной позиm= 4;ии текста мо&= #1078;ет появитьl= 9;я любой из
N симk= 4;олов. Каждый = символ несе = 90; x бит = 80;нформации; ч= исло x можl= 5;о определит&#= 1100; из уравненl= 0;я:

Для N =3D 54 п&= #1086;лучаем: x=3D 5,755 бит.
Вот сколько &= #1080;нформации l= 5;есет один си&= #1084;вол в русск = 86;м тексте! А тk= 7;перь для тог&= #1086;, чтобы найт= 080; количество= информации = 074;о всем текст= ;е, нужно посч&= #1080;тать число = 89;имволов в не= м и умножить &#= 1085;а
x. =

Этот спо&= #1089;об не связы = 74;ает количес&= #1090;во информаm= 4;ии с содержа&= #1085;ием сообщеl= 5;ия, и называе= тся он алфав= 080;тным подход= ом.
Проще всего &= #1088;азобраться= ; в этом на при= мере текста, &#= 1085;аписанного= на каком-ниб&#= 1091;дь языке. Дл = 03; нас удобнее= , чтобы это бы&= #1083; русский яз = 99;к.

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<= span style=3D'font-size:14.0pt;color:blue;font-weight:bold;language:EN;mso-ans= i-language: EN'>1 Терабайт (Т = 73;айт) =3D 1024 Гбайт,
1 Петабайт (П = 73;айт) =3D 1024 Тбайт.

З&= #1076;есь необычl= 5;о то, что трад= ;иционные пр= 080;ставки "кил&= #1086;" и "мега" оз= ;начают не 1000, а 1024. Это связанl= 6; с тем, что, с о= 076;ной стороны= , для удобств&#= 1072; представле= ;ния чисел в к&= #1086;мпьютере нm= 1;жно было при&= #1074;язываться l= 2; 2-чной арифмk= 7;тике, а с друг= ;ой стороны, <= span style=3D'font-size:14.0pt;line-height:150%;color:maroon;language:EN;mso-a= nsi-language: EN'>1000 и 1024 очень близl= 2;и. В результа= те иногда во= 079;никает пута= ница в числа= 093;, которые поl= 2;азывают раз&#= 1085;ые программ= ;ы, измеряя ра&= #1079;мер файлов. = 054;днако ее лег= ;ко разрешит= 100;, зная причиl= 5;у.

Б&= #1080;т — слишком = 084;елкая едини= ца измерени = 03;. На практике= ; чаще примен&#= 1103;ется более l= 2;рупная един&#= 1080;ца — байт, ра= 074;ная восьми б= ;итам. Именно &= #1074;осемь битоk= 4; требуется д&= #1083;я того, чтоб= 099; закодирова= ть любой из 256 символов аl= 3;фавита клав&#= 1080;атуры компь= ;ютера.

<= span style=3D'font-family:"Times New Roman";color:maroon;language:RU;mso-ansi-= language: RU'> 

Ш&= #1080;роко исполn= 0;зуются такж&#= 1077; ещё более к = 88;упные произ&= #1074;одные единl= 0;цы информац&#= 1080;и:
1 К = 80;лобайт (Кбай= т) =3D 1024 б = 72;йт,
1 М = 77;габайт (Мбай= т) =3D 1024 К = 73;айт,
1 Г = 80;габайт (Гбай= т) =3D 1024 М = 73;айт.
В по = 89;леднее врем&= #1103; в связи с ув&#= 1077;личением об= ;ъёмов обраб= 072;тываемой ин= формации вх = 86;дят в употре= бление таки = 77; производны&= #1077; единицы, ка= 082;:

 

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1.Галкин h= 5;.В. Нестандар= тные задачи = 087;о математик= е: задачи лог&#= 1080;ч. характерk= 2;: кн. для учащl= 0;хся 5-11 кл. М.: &#= 1055;росвещение= , 1996.  160 = с.

 

2.Кошкин = 43;.М. Энтропия l= 0; информация//= Соросовскиl= 1;  Обрk= 2;зовательны= 081; Журнал. 2001. Т.7, №11. С.12= 2-127.

 <= /o:p>

3.Энцикло= ;педический = 089;ловарь юног= о математик = 72; / Сост. А.П. Сав&= #1080;н. – М.: Педаго= гика, 1985. – 352 &n= bsp;

4.Энцикло= ;педия для де&#= 1090;ей. Т.11. мате= матика / глав. = Ред. М.Д. Аксен= ова. – М.: Авант= ;а+, 2001. – 688 &n= bsp;

5.Яглом А. = 52;. Вероятност= ь и информац= 080;я/А.М. Яглом, И.&= #1052;. Яглом. – М.: нk= 2;ука, 1973. – 511 True True 3 (``````````` (``````````` 665 1 1 7166609 228600 556 7166609 7166609 1319448 228600 -2

<= span style=3D'font-size:14.0pt;font-family:"Times New Roman";color:#CC0033; language:RU;mso-ansi-language:RU'>Карти = 85;ки=

<= span style=3D'font-size:14.0pt;color:blue;language:EN;mso-ansi-language:EN'>http://www.lefutur.= ru/present.phtml?page=3D2
http://vector-clipart.ru/clipart.php?query=3D%D2%F0%E0%ED%F1%EF%EE%25= ...
http://lady-x.ru/cabin= et/psycholog/05.htm

<= span style=3D'font-family:"Times New Roman";language:RU;mso-ansi-language:RU'>=  

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= 54; б     а в т о р е=

Над = проектом ра = 73;отали:

 ученики 10, 11 класса гимl= 5;азии №8 им.Л.М.Марас= 080;новой г.Рыби= ;нска

= 065;авелев Дмит= рий  = 11 к = 83;

= 059;шаков Макси= м  11 к = 83;

= 050;алинин Алек= сей  = 11 к = 83;

= 057;олнцев Григ= орий  = 11 к = 83;

= 052;орозов Алек= сей 11 к = 83;

= 051;актионова Н= аталья 11 к = 83;

= 043;орбункова А= лександра 11 к = 83;

= 050;очерова Вер= а 10 К = 83;.

= 041;ахтиарова К= атя 10 К = 83;.

= 055;оздняков Ал= ександр 10 К = 83;.

= 057;мирнов Кири= лл 11 К = 83;.

= 052;аслеников П= авел 11 К = 83;.

 

 

= 053;аучный руко= водитель:     Смир= нова Н.В.

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