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:''For the book in the Bible, see [[Numbers (Bible)]]''. ...] or [[measurement|measure]]. Depending on the field of mathematics, where numbers are used, there are different definitions: ...

...something is true for all the [[natural numbers]] (all the positive whole numbers). The idea is that Prove that for all natural numbers ''n'': ...

<math>\sum d^2</math> means that we take the total of all the numbers that were in the column <math>d^2</math>. This is because <math>\sum</math> == What the numbers mean == ...

...se]] and be greater than zero. The vector chosen must be filled with real numbers. ...

'''Knuth's up-arrow notation''' is a way of expressing very big numbers.<ref name="mathworld">{{cite web|url=http://mathworld.wolfram.com/ArrowNota .../www-users.cs.york.ac.uk/susan/cyc/b/big.htm#up |title=SS > factoids > big numbers |publisher=Users.cs.york.ac.uk |date=1998-07-07 |accessdate=2011-10-30}}</r ...

...means it is impossible to write as a fraction with two integers; but some numbers, like 2.71828182845904523536, come close to the true value. The true value [[Category:Irrational numbers]] ...

The '''sum''' of two numbers is what we get when we [[addition|add]] the two numbers together. This operation is called '''summation'''. There are a number of w .../6/62/Sum_of_i.pdf Derivation of Polynomials to Express the Sum of Natural Numbers with Exponents] ...

There are a numbers of ways to calculate [[square root]]s of [[number]]s, and even more ways to ...s expected to be. This is because often [[square root]]s are [[Irrational numbers|irrational]]. For example, square root of a nice round [[whole number]] '' ...

...ur; in algebra, variables (like ''a'', ''x'', ''y'') are used to stand for numbers. This is useful because: * It lets people solve problems about "unknown" numbers. This means learning about [[equation]]s and how to solve them (for example ...

...example to show how [[infinity]] does not act in the same way as regular [[numbers]] do. ...tel that has an infinite number of rooms. As a convenience, the rooms have numbers, the first room has the number 1, the second has number 2, and so on. If al ...

...an then be represented by a stream of Gödel numbers (also called effective numbers). [[Rogers' equivalence theorem]] states criteria for which those numberi ...ral numbers and statements about the provability of theorems about natural numbers, the key observation of the proof. ...

...er above and to the right (if any) to find the new value. For example, the numbers 1 and 3 in the fourth row are added to make 4 in the fifth row. ...the coefficients ''a''_''i'' in this expansion are precisely the numbers on row ''n''&nbsp;+&nbsp;1 of Pascal's triangle; in other words, ...

...] or a [[quantity]] obtained by [[multiplication|multiplying]] two or more numbers together. For example: 4 × 7 = 28 Here, the number 28 is called the produ A short way to write the product of many numbers uses the capital Greek letter [[Pi (letter)|pi]]: <math>\prod</math>. This ...

...written right after the [[key signature]] in a piece of [[music]]. The two numbers in a time signature tell you how many of one kind of [[note (music)|note]] This table shows different numbers that could be the bottom of a time signature, and what they mean. Note that ...

is an algebraic equation over the rational numbers. ...s in the field of complex numbers. One can also look for solutions in real numbers. ...

...'''series''' is the sum of a never ending mathematical sequence (a list of numbers). For [[example]]: ...

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