1/pi*sin(pi*x)

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Solution for 1/pi*sin(pi*x) equation: 


x in (-oo:+oo)

(1/pi)*sin(pi*x) = 0

1/pi = 0

1/pi = 0

x belongs to the empty set

sin(pi*x) = 0

sin(pi*x) = 0  <=>  pi*x = pi*k_1 i k_1 należy do I

t_1 = pi*k_1

pi*x-t_1 = 0

pi*x-t_1 = 0 // + t_1

pi*x = t_1 // : pi

x = t_1/pi

x = pi*k_1/pi i k_1 należy do I

(1/pi)*sin(pi*x) = 0  <=>  1/pi = 0 or (1/pi)*sin(pi*x) = 0  <=>  sin(pi*x) = 0

x = pi*k_1/pi

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