What is MOD of infinity?

Infinity is not a number by definiton in the same sense as the natural numbers with which we do modular arithmetic. A sensible way to try and construct a notion of modulus for infinity is to take the limit of n \% 2 as n goes to infinty. This will yield the sequence 0,1,0,1,0,1, and so on.

What is a number MOD 0?

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The range of values for an integer modulo operation of n is 0 to n − 1 inclusive (a mod 1 is always 0; a mod 0 is undefined, possibly resulting in a division by zero error in some programming languages). See Modular arithmetic for an older and related convention applied in number theory.

Why do we use mod in math?

The modulo (or “modulus” or “mod”) is the remainder after dividing one number by another. It is like we aren’t interested in how many times we go around, just where we end up.

Why mod is used in mathematics?

In mathematics, the term modulo (“with respect to a modulus of”, the Latin ablative of modulus which itself means “a small measure”) is often used to assert that two distinct mathematical objects can be regarded as equivalent—if their difference is accounted for by an additional factor.

Is it 0 0 or infinity?

Similarly, expressions like 0/0 are undefined. But the limit of some expressions may take such forms when the variable takes a certain value and these are called indeterminate. Thus 1/0 is not infinity and 0/0 is not indeterminate, since division by zero is not defined.

Why is mod 0 undefined?

when x=0, the first condition cannot be satisfied. Depends on how you define “mod”. If you mean “the remainder after dividing”, you can’t divide by zero, so it’s not defined.

Can you do mod 0 in Java?

Due to the same reason a division by zero isn’t possible, it’s not possible to use the modulo operator when the right-side argument is zero.

How do you find the mod of a number?

How to calculate the modulo – an example

1. Start by choosing the initial number (before performing the modulo operation).
2. Choose the divisor.
3. Divide one number by the other, rounding down: 250 / 24 = 10 .
4. Multiply the divisor by the quotient.
5. Subtract this number from your initial number (dividend).

Can Infinity be equal to zero?

This relation defines infinity so infinity can be equal to zero or this relations as to there are still infinite relations, bonds and ties when we negate that substance or thing or compress it as it is also the part of this same relationship of matters.

Is an infinite number of times an easy zero answer?

In an enriched number system containing such infinite numbers, it is correct that an infinite number times is indeed “an easy Zero answer”. One could take such a number system to be the hyperreals, but there are many such number systems.

Why is ∞ ⋅ 0 an indeterminate form?

Obviously the reason that ∞ ⋅ 0 is an indeterminate form as a limit comes from two reasons: (1) ∞ is not a real number, therefore the context means that we multiply two sequences; (2) the multiplication of a divergent sequence and a sequence converging to zero can be divergent, zero, or convergent to a finite number.

What is the value of Infinity?

Infinity is a number greater than any assignable quantity or countable number (symbol ∞). It does not hold any place in value system as we don’t know about it. Zero is nothing and infinity can be anything.