Fraktal

Posts

Showing posts from November, 2022

It is easy to see that

\arg (\frac{a}{b}) = \arg (a) - \arg (b)

for any complex number

a

and

b

. But, this is not the case for the principle value that is

Arg

does not always equal to

Arg (a) - Arg (b)

Generate random image from Imgur. Warning! NSFW images may appear. This generator may do not work well in mobile or some browsers.

Generate a random math expression.

Let

n

be a natural number greater than

1

. Suppose

(Z_{n}, +, \cdot)

be a ring of integers mod

n

. Then, every element

a \in Z_{n}

has multiplicative inverse if and only if

n

is a prime number. In other words,

(Z_{n}, +, \cdot)

is a field if and only if

n

is a prime number.