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Консультация № 186177
25.05.2012, 13:43
134.19 руб.
25.05.2012, 13:55
0
6
2
Здравствуйте! Прошу помощи в следующем вопросе:
Мне необходимо решить эти примеры на тему "Функии комплексного переменного". Просьба такая подробно рассписать действия решения и почему используем ту или иную формулу.
Мне необходимо решить эти примеры на тему "Функии комплексного переменного". Просьба такая подробно рассписать действия решения и почему используем ту или иную формулу.
Обсуждение
25.05.2012, 15:35
общий
это ответ
Здравствуйте, Посетитель - 393715!
1.
Геометрический смысл модуля комплексного числа - расстояние до начала координат. Потому, скажем, |z|>1 - точки, лежащие вне единичного круга с центром в нуле. |z-a| < 1 - единичный круг с центром в a.
2.
Для дифференцируемой функции выполнены условия Коши-Римана:
,
.
Значит
интегрикуя по x, получаем
.
.
.
,
потому C = 0 и искомая
.
1.
Геометрический смысл модуля комплексного числа - расстояние до начала координат. Потому, скажем, |z|>1 - точки, лежащие вне единичного круга с центром в нуле. |z-a| < 1 - единичный круг с центром в a.
2.
Для дифференцируемой функции выполнены условия Коши-Римана:
,.Значит
интегрикуя по x, получаем
...,потому C = 0 и искомая
.
25.05.2012, 16:05
общий
25.05.2012, 16:06
Небольшая поправка:
2. Rez[$8804$]0. Здесь имелась ввиду ось у с уравнением х=0.
2. Rez[$8804$]0. Здесь имелась ввиду ось у с уравнением х=0.
25.05.2012, 16:28
общий
Адресаты:
Я взял на себя труд подправить Вашу картинку. 
Старайтесь больше писать текстом.
Старайтесь больше писать текстом.
Об авторе:
"Если вы заметили, что вы на стороне большинства, —
это верный признак того, что пора меняться." Марк Твен
"Если вы заметили, что вы на стороне большинства, —
это верный признак того, что пора меняться." Марк Твен
25.05.2012, 19:32
общий
Адресаты:
Спасибо! Постараюсь. А как Вы подправили картинку, если не секрет?
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