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...e list of real numbers, you can create a number not on that list. The real numbers have a cardinality of '''c'''. [[Category:Cardinal numbers]] ...

...for all [[real number|real]] values of <math>\theta</math> (since the real numbers <math>\Bbb{R}</math> are the domain of sin and cos), as opposed to ...ve identity" for integers, real numbers, and complex numbers. For the real numbers, for all <math>a\in\Bbb{R},</math> ...

...(number)|5]], and [[7 (number)|7]]. The next following eleven odd abundant numbers are *Odd abundant numbers below 500000 are in On-Line Encyclopedia of Integer Sequences [http://oeis. ...

...ratio is ''a''/''b''. The person can make another ratio by adding the two numbers together ''a''+''b'' and dividing this by the larger number ''a''. The new The golden ratio is an [[Number#Irrational numbers|irrational number]]. If a person tries to write it, it will never stop and ...

..., which means "without end". Infinity goes on forever, so sometimes space, numbers, and other things are said to be 'infinite', because they never come to a s ...l infinity is a more abstract idea. For example, there are infinitely many numbers as it is impossible to write them all down. ...

...s or [[number]]s, one [[Division (mathematics)|divided]] by the other. The numbers may be [[whole number]]s (or [[integer]]s) – this is a [[rational number]]. this by dividing both the numbers by a common factor.This would be '''{{Fraction|3|8}}''' ...

...is the name given by [[mathematics|mathematicians]] to a series of special numbers: 2, 1729 etc. A taxicab number is the smallest number that can be expresse *27+8=35, so 35 is the “sum of two cubes” (“[[sum]]” in this sense means “numbers that are added together”). ...

...wever: There are numbers that pass the test, and that are not prime. These numbers are called [[Carmichael number]]s. ...

|<center>'''Natural numbers example''' Numbers less than [[0]] (such as [[−1]]) are not natural numbers. ...

...0, 1986. ISSN 0047-6269</ref><ref>Parmanand Singh,"The So-called Fibonacci numbers in ancient and medieval India." Historia Mathematica 12(3), 229–44, 1985.</ ...second number is 1, and each number after that is equal to adding the two numbers right before it together. For example 0+1=1 and 3+5=8. This sequence goes ...

...bination of digits and letters that a system of counting uses to represent numbers. For example, the most common base used today is the decimal system. Becaus == Numbers in different bases== ...

...math>\tfrac 1 6</math>, but this is not a continuous function, as only the numbers 1 to 6 are possible. In contrast, two people will not have the same height, ...

...</math>.<ref>Wells, D. ''The Penguin Dictionary of Curious and Interesting Numbers'' London: Penguin Group. (1987): 41–44</ref> An [[integer]] is ''[[even]]'' ...e]]. Two and three are the only prime numbers next to each other. The even numbers above two are not prime because they are divisible by 2. ...

...atics]], the '''norm''' of a [[vector]] is its [[length]]. For the [[real numbers]] the only norm is the [[absolute value]]. For [[vector space|spaces]] wit # [[Positive homogeneity|Scales]] for real numbers <math>a</math>, that is <math>p(ax) = |a|p(x)</math> ...

...numbers have a [[:wikt:minus|minus]] (−) in front of the number. Positive numbers have no sign or a [[:wikt:plus|plus]] (+) sign in front. Zero usually has n ...

...itself. 1, 4, 9, 16 and 25 are the first five [[square (algebra)|square]] numbers. Square numbers are [[non-negative]]. Another way of saying that a (non-negative) number is ...

...umber|even]] perfect numbers have this form. No [[odd number|odd]] perfect numbers are known, and it is suspected that none exist (If it exist, it would have ...

...ecause of its relation to the [[prime number theorem|distribution of prime numbers]]. It also has applications in other areas such as [[physics]], [[probabili ...ww.claymath.org/sites/default/files/ezeta.pdf|title=On the Number of Prime Numbers less than a Given Quantity}}</ref> ...

:''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'': ...