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...me for a number when it is written in the way the [[Romans]] used to write numbers. Roman numerals are not used very often today in the west. They are used to In general, the system is additive, which means that the numbers are added. ...

For example, <math>\phi(8) = 4</math>, because the four numbers: 1, 3, 5 and 7 don't share any factors with 8. ...

we put them into four different groups of five numbers each:: ...

...amental theorem of algebra]], in the form of a generalisation in [[complex numbers]]. ...

...to the power of another complex number. The relationship between imaginary numbers and trigonometry, which produces the multiplication formula This formula basically states that the multiplication of complex numbers is related to addition of angles. ...

...al-valued argument ''x''. (This means both the input and output are [[real numbers]].) :Proof: Let ''x''_o and ''x''₁ be real numbers. Suppose the line maps these two ''x''-values to the same ''y''-value. Thi ...

...to solve real problems because the rules of algebra work in real life and numbers can be used to represent the values of real things. [[Physics]], [[enginee ...[[number]]s and mathematic [[operation (mathematics)|operations]] used on numbers, starting with [[addition|adding]], [[subtraction|subtracting]], [[multipli ...

...variables, and see negative association in action by considering occupancy numbers in the balls and bins model. ...and only if ball <math>k</math> lands in bin <math>i</math>. The occupancy numbers are <math>B_i=\sum_{k\in[m]}B_{i,k}</math>. That is, <math>B_i</math> denot ...

In [[math]], '''imaginary units''', or '''<math>i</math>''', are numbers that can be represented by equations but refer to values that could not phy ...

...bseteq\{1,2,\ldots,2n\}</math> of size <math>|S|>n\,</math>, there are two numbers <math>a,b\in S</math> such that <math>a|b\,</math>. ...for odd <math>m\in\{1,2,\ldots, 2n\}</math>. There are <math>n</math> odd numbers in <math>\{1,2,\ldots,2n\}</math>, thus <math>n</math> different <math>C_m< ...

...bseteq\{1,2,\ldots,2n\}</math> of size <math>|S|>n\,</math>, there are two numbers <math>a,b\in S</math> such that <math>a|b\,</math>. ...for odd <math>m\in\{1,2,\ldots, 2n\}</math>. There are <math>n</math> odd numbers in <math>\{1,2,\ldots,2n\}</math>, thus <math>n</math> different <math>C_m< ...

...bseteq\{1,2,\ldots,2n\}</math> of size <math>|S|>n\,</math>, there are two numbers <math>a,b\in S</math> such that <math>a|b\,</math>. ...for odd <math>m\in\{1,2,\ldots, 2n\}</math>. There are <math>n</math> odd numbers in <math>\{1,2,\ldots,2n\}</math>, thus <math>n</math> different <math>C_m< ...

...bseteq\{1,2,\ldots,2n\}</math> of size <math>|S|>n\,</math>, there are two numbers <math>a,b\in S</math> such that <math>a|b\,</math>. ...for odd <math>m\in\{1,2,\ldots, 2n\}</math>. There are <math>n</math> odd numbers in <math>\{1,2,\ldots,2n\}</math>, thus <math>n</math> different <math>C_m< ...

...bseteq\{1,2,\ldots,2n\}</math> of size <math>|S|>n\,</math>, there are two numbers <math>a,b\in S</math> such that <math>a|b\,</math>. ...for odd <math>m\in\{1,2,\ldots, 2n\}</math>. There are <math>n</math> odd numbers in <math>\{1,2,\ldots,2n\}</math>, thus <math>n</math> different <math>C_m< ...

...bseteq\{1,2,\ldots,2n\}</math> of size <math>|S|>n\,</math>, there are two numbers <math>a,b\in S</math> such that <math>a|b\,</math>. ...for odd <math>m\in\{1,2,\ldots, 2n\}</math>. There are <math>n</math> odd numbers in <math>\{1,2,\ldots,2n\}</math>, thus <math>n</math> different <math>C_m< ...

...bseteq\{1,2,\ldots,2n\}</math> of size <math>|S|>n\,</math>, there are two numbers <math>a,b\in S</math> such that <math>a|b\,</math>. ...for odd <math>m\in\{1,2,\ldots, 2n\}</math>. There are <math>n</math> odd numbers in <math>\{1,2,\ldots,2n\}</math>, thus <math>n</math> different <math>C_m< ...

...bseteq\{1,2,\ldots,2n\}</math> of size <math>|S|>n\,</math>, there are two numbers <math>a,b\in S</math> such that <math>a|b\,</math>. ...for odd <math>m\in\{1,2,\ldots, 2n\}</math>. There are <math>n</math> odd numbers in <math>\{1,2,\ldots,2n\}</math>, thus <math>n</math> different <math>C_m< ...

...e system]]. This means that every place can be specified by a set of three numbers, called coordinates. ...