Granpa 11 June 2019
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• 1 Equivalence relation
• 1.1 Modular arithmetic
• 3 References

From Wikipedia:Equivalence relation:

An Equivalence relation is a generalization of the concept of "is equal to". It has the following properites:

• a}} (reflexive property),
• if b}} then a}} (symmetric property), and
• if b}} and c}} then c}} (transitive property).

As a consequence of the reflexive, symmetric, and transitive properties, any equivalence relation provides a partition of the underlying set into disjoint equivalence classes. Two elements of the given set are equivalent to each other if and only if they belong to the same equivalence class.

From Wikipedia:Modular arithmetic :

Modular arithmetic can be handled mathe…

Granpa 11 June 2019
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## Elementary mathematics

• 1 Positive numbers
• 3 References

See

• Introductory mathematics
Granpa 11 June 2019
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## Introductory mathematics

Believe it or not the basis of all of mathematics is nothing more than the simple function.

Next(0)=1
Next(1)=2
Next(2)=3
Next(3)=4

This defines the . Natural numbers are those used for counting.

These have the very convenient property of being . That means that if a
Granpa 11 September 2018
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## Clifford algebra

• 1 Rules

Clifford algebra is a type of algebra characterized by the geometric product of scalars, vectors, bivectors, trivectors...etc.

Just as a vector has length so a bivector has area and a trivector has volume.

Just as a vector has direction so a bivector has orientation. In three dimensions a trivector has only one possible orientation and is therefore a pseudoscalar. But in four dimensions a trivector becomes a pseudovector and the quadvector becomes the pseudoscalar.

All the properties of Clifford algebra derive from a few simple rules.

Let

Granpa 21 October 2017
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