Modulo division with negative power ?

In summary, the conversation discusses the validity of using negative powers of x in the modulo division function, specifically in the context of calculating the remainder between two functions. The example of (x-29)mod(x2-3) is given as an illustration. It is questioned whether this type of division is allowed or if it is restricted to only positive powers of x. It is noted that negative powers involve fractions, but the use of fractional parts in the mod function is unclear. Further clarification from someone with a greater understanding is suggested.
  • #1
smslca
64
0
if f(x)modg(x) is valid(means , if it yield a remainder) then , can there be negative powers of x in f(x)?

for example
is (x-29)mod(x2 - 3) possible ?
can we do modulo division like this or is it strictly defined only for positive powers of x?
 
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  • #2
smslca said:
if f(x)modg(x) is valid(means , if it yield a remainder) then , can there be negative powers of x in f(x)?

for example
is (x-29)mod(x2 - 3) possible ?
can we do modulo division like this or is it strictly defined only for positive powers of x?
Negative powers involves fractions but the mod function doesn't have use of fractional parts as far as I know. Some one with a greater understanding may give you a better answer.
 

What is modulo division with negative power?

Modulo division with negative power is a mathematical operation that calculates the remainder when a number is divided by another number, raised to a negative power.

How is modulo division with negative power different from regular modulo division?

In regular modulo division, the remainder is calculated when a number is divided by another number. However, in modulo division with negative power, the remainder is calculated when a number is divided by another number, raised to a negative power.

Can the base number in modulo division with negative power be negative?

Yes, the base number can be negative in modulo division with negative power. The sign of the base number does not affect the result of the operation.

What happens if the exponent in modulo division with negative power is 0?

If the exponent is 0, then the result of the operation will always be 1. This is because any number raised to the power of 0 is equal to 1.

What are some real-life applications of modulo division with negative power?

Modulo division with negative power is commonly used in cryptography, as it provides a way to calculate the remainder of a large number when divided by a smaller number, without revealing the original number. It is also used in computer programming to perform various operations on binary numbers.

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