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Консультация № 69817
07.01.2007, 01:31
0.00 руб.
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Доброе время суток! Уважаемые эксперты помогите написать таблично заданную функцию
Есть значения которые должна принемать функция при x =1 2 3 ... 8 в остальных точках (x < 1 и x >8) желательно иметь 0 (хотя и необязательно) нужна формула такой функции.
x 1, 2, 3, 4, 5, 6, 7, 8
f(x)1, 3, 2, 6, 4,12, 8, 9
Есть значения которые должна принемать функция при x =1 2 3 ... 8 в остальных точках (x < 1 и x >8) желательно иметь 0 (хотя и необязательно) нужна формула такой функции.
x 1, 2, 3, 4, 5, 6, 7, 8
f(x)1, 3, 2, 6, 4,12, 8, 9
Обсуждение
Неизвестный
07.01.2007, 14:45
общий
это ответ
Здравствуйте, Скворцов, Евгений!
Простите, что не привожу вычислений
Всё делалось программно, так как вручную считать эти числа ... сами понимаете.
Применена интерполяция методом Ньютона, так что функция - многочлен. Во всех точках приравнять её к нулю невозможно - многочлен конечной степени не может иметь бесконечно много корней.
0.0501984126984x^7 - 1.559722222222x^6 + 19.78472222222x^5 - 131.9097222222x^4 + 494.938888888846x^3 - 1033.030555555x^2 + 1093.72619047611x - 441
Удачи!
Простите, что не привожу вычислений
Всё делалось программно, так как вручную считать эти числа ... сами понимаете.Применена интерполяция методом Ньютона, так что функция - многочлен. Во всех точках приравнять её к нулю невозможно - многочлен конечной степени не может иметь бесконечно много корней.
0.0501984126984x^7 - 1.559722222222x^6 + 19.78472222222x^5 - 131.9097222222x^4 + 494.938888888846x^3 - 1033.030555555x^2 + 1093.72619047611x - 441
Удачи!
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