# Number - Field

A field is a collection of “numbers” with the operator: +, -, *, /

Different fields are like different classes obeying to the same interface.

A field is also known as abody:

• corps in French
• Körper in German

A field with a finite number of members is known as a finite field or Galois field (two elements).

## Type

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Linear Algebra - (Direct Sum | Union) of vector spaces

Let U and V be two vector spaces consisting of D-vectors over a field F. Definition: If U and V share only the zero vector then we define the direct sum of U and V to be the set: written: That is, ...
Linear Algebra - Matrix

The Traditional notion of a matrix is: a two-dimensional array a rectangular table of known or unknown numbers One simple role for a matrix: packing together a bunch of columns or rows Matrix...
Linear Algebra - Vector

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Linear Algebra - Vector Space (set of vector)

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Number - Gf(2) - Galois Field 2

Galois Field 2 has just two elements: 0 and 1 Usual algebraic laws still hold, e.g. multiplication distributes over addition Addition is like exclusive-or: + 0 1 0 0 1 1 1 0 vector addition...
Number System - Rational Number -

A rational number is any number that can be expressed as the quotient or fraction p/q of two integers Rational numbers are also known as: the rationals, the field of rationals or the field of...
Number, Numeric, Quantity

A number is a mathematical object used to: count, label, and measure. Example: When we are interested in the total number of each species of tortoise, or how many individuals there are per square...