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...[[complex number]]s. Every real number is a complex number, but not every complex number is a real number. ...

In a synthesis reaction, two or more simple substances combine to form a more complex substance. ...e is simple hydrogen gas combined with simple oxygen gas to produce a more complex substance, such as water.<ref name="to react or not to react">[http://utahs ...

...e root is a [[complex number]]. For example, square root of '''-4''' is a complex number '''2''[[imaginary unit|i]]''''' :<math display="block">\sqrt{-4} = 2 ...

{{complex|date=March 2012}} {{complex|date=March 2012}} ...

{{complex|date=April 2012}} ...c energy, although this may not be helpful to those not familiar with more complex physics. ...

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A [[real number|real]] or [[complex number]] is called a '''transcendental number''' if it cannot be found as a ...

...e given area, since the normal answer for the wave function is usually a [[complex number]]. The wave function concept was first introduced in the legendary [ ...

=== Complex numbers === ...rt and an ''imaginary'' part. Every type of number written above is also a complex number. ...

{{complex|date=March 2012}} The Big O Notation is often used in identifying how complex a problem is (also known as the problem's [[complexity class]]). ...

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...he model. Since individual outcomes might be of little practical use, more complex ''events'' are used to characterize groups of outcomes. The collection of a ...

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

* some of the roots may be [[complex number]]s ...

Wavelet is (complex) function from the [[Hilbert space]] <math>\psi \in L^{2}(\mathbb{R})</math ...

...[[rational numbers]] by including square roots of positive numbers. The [[complex numbers]] are a closure of the real numbers by including square roots of ne ...

...z'')) is an [[wikt:extend|extension]] of the [[factorial]] function to all complex numbers except negative, integers. The argument of the function is shifted ...lex numbers]]. But it is not defined for negative integers and zero. For a complex number whose real part is not a negative integer, the function is defined b ...

* [[Complex number]] ...

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{{complex|date=October 2011}} ...^\infty {\alpha \choose i} x^i\quad\mbox{ for all } |x| < 1 \mbox{ and all complex } \alpha\!</math> ...

{{Article issues|complex=July 2013|wikify=April 2009}} ...

{{complex}} ...

...ically numbers that cannot be square rooted and get a real result. Every [[complex number]] except 0 has 2 square roots. For example: −1 has two square roots. ...

* <math>*</math> symbol denotes [[complex conjugate]]. ...

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*[[Dielectric complex reluctance]] *[[Magnetic complex reluctance]] ...

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...ave no physical meaning (in fact, they are mathematically [[complex number|complex]]), yet the wave function contains all information that can be known about ...

...frequency]], or picking out a signal at a particular frequency from a more complex signal. An ideal LC circuit does not have [[resistance]]. ...

...[[diophantine equation]]. One may also look for solutions in the field of complex numbers. One can also look for solutions in real numbers. ...

{{complex|date=February 2012}} ...he discrete group of all <math> p</math>-power [[roots of unity]] in the [[complex number]]s. ...

...The function ''ƒ'' can be either [[real number|real]] or [[complex number|complex]]. The Taylor series is then used to describe what the function looks like ...

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...or imaginary axis in the complex plane, to all logarithmic spirals in the complex plane with centre at 0. ([[Up to]] adding integer multiples of 2π''i'' to t ...

...that show why they are the same number, but many of these proofs are very complex.<ref name="Katz">{{cite journal |last1=Katz |first1=K. |last2=Katz |first2= ...

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.... For instance the dot product of a vector with itself can be an arbitrary complex number, and can be zero without the vector being the zero vector; this in t ...<span style="text-decoration: overline">''b_i''</span> is the [[complex conjugate]] of ''b_i''. Then the scalar product of any vector wit ...

...as ''3i'' to create ''2+3i''. These kinds of mixed numbers are known as [[complex number]]s. ...