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{{r|Complex number}}

{{r|complex number}}

...</math>, the set of real numbers and <math>\mathbb{C}</math>, the set of [[complex number|complex numbers]].

...a type of [[singularity]] of a [[function (mathematics)|function]] of a [[complex number|complex]] variable. In the neighbourhood of a pole, the function behave li

{{r|Complex number}}

{{r|complex number}}

...n makes use of the ''n'' different embeddings of ''K'' into the field of [[complex number]]s '''C''', say σ₁, ...,σ_''n'':

Let ''X'' be a vector space over some subfield ''F'' of the [[complex number|complex numbers]]. Then a norm on X is any function <math>\|\cdot\|:X \righ

...>\scriptstyle 1\, \leq p \,\leq\, \infty</math>, denote the space of all [[complex number|complex]]-valued measurable functions on the unit circle <math>\scriptstyle

* The field '''C''' of [[complex number]]s has two automorphisms, the identity and [[complex conjugation]].

...used to extend the definition to all values of <math>s</math>, including [[complex number]]s. The function with the extended domain is known as the [[Riemann zeta fu

...lysis''' is, broadly speaking, the study of functions that take as input [[complex number]]s and output complex numbers, and behave well with respect to a notion of ...ed to keep in mind that <math>| \cdot |</math> represents the modulus of a complex number, not the real absolute value.

* ''Quaternion'': an extension of a complex number having more than one imaginary component.

...utions for which the cubic formula requires one to calculate a root of a [[complex number]]. This is more difficult than finding the root of a real number, which is

| pagename =Complex number | abc = Complex number

A [[linear function]] is a function <math>f</math> such that there exist [[complex number]]s

...he [[integer]]s, the [[rational number]]s, the [[real number]]s, and the [[complex number]]s are abelian groups with the group operation being addition. In contrast

...over a [[field (mathematics)|field]] such as the [[real number|real]] or [[complex number]]s, this is equivalent to specifying that the determinant does not equal ze

...It is often convenient to identify the ''n''-th roots of unity with the [[complex number]]s exp(2πi.''r''/''n'') with ''r''=0,...,''n''-1 and the primitive ''n''-t

[[modulus of complex number|modulus]], [[argument of complex number|argument]],