# Absolute Difference Calculator

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## Concepts

The Absolute Difference Calculator is a tool that calculates the absolute difference between two numbers. The absolute difference is the size of the difference between any two numbers. It is a special case of the Lp distance for all p and is the standard metric used for both the set of rational numbers and their completion, the set of real numbers .

## Formulae

The formula to calculate the absolute difference between two numbers x and y is:

|x – y| = |y – x| = √(x – y)²

where |x – y| represents the absolute value of the difference between x and y .

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## Benefits

The Absolute Difference Calculator has several benefits, including:

• It is a simple and easy-to-use tool that can be used by anyone.
• It helps in calculating the absolute difference between two numbers quickly and accurately.
• It can be used to calculate the distance between two points on a number line.
• It can be used to define other quantities including the relative difference, the L1 norm used in taxicab geometry, and graceful labelings in graph theory .

## Interesting Facts

Here are some interesting facts about absolute difference:

• The absolute difference of two real numbers x and y describes the distance on the real line between the points corresponding to x and y .
• The absolute difference is used to define other quantities including the relative difference, the L1 norm used in taxicab geometry, and graceful labelings in graph theory .
• When it is desirable to avoid the absolute value function – for example because it is expensive to compute, or because its derivative is not continuous – it can sometimes be eliminated by using an identity .

## Use Cases

The Absolute Difference Calculator has several use cases, including:

• It can be used to calculate the distance between two points on a number line.
• It can be used to calculate the absolute difference between two numbers quickly and accurately.
• It can be used to define other quantities including the relative difference, the L1 norm used in taxicab geometry, and graceful labelings in graph theory .

## References

Here are some scholarly references related to absolute difference:

• Weisstein, Eric W. “Absolute Difference”. MathWorld.
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