Most recent change of Equation

Edit made on November 24, 2008 by ColinWright at 15:10:32

Deleted text in red / Inserted text in green

WW
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An equation is any statement with an equals sign in it.

A simplified classification of equations could include:
Equations come in a variety of flavours. A simple (and simplistic) classification of equations could include:

EQUATIONS
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!! Equations

Mathematical statement which is true for a limited number of values of its variable.

EQN:3x+2=-7 is true for one value of the variable x

EQN:sin(x)=0.5 is true for an infinite number but not all of values of x

IDENTITIES
* EQN:3x+2=-7 is true for one value of the variable x
* EQN:sin(x)=0.5 is true for an infinite number but not all of values of x
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!! Identities

Statements which are true for all values of the variable.

e.g. EQN:3(x+2)=3x+6
* EQN:3(x+2)=3x+6
* EQN:2^n=\sum_{i=0}^{i=n}{n\choose~i}

PROPOSITIONS
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!! Propositions

Statements which are either true or false
* 2 + 3 = 5
* 1 + 1 = 3

2 + 3 = 5

1 + 1 = 3
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However, this does not include differential equations, integral equations, functions etc.
However, this classification does not include differential equations, integral equations, functions, /etc./