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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao https://doi.org/10.1...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
https://doi.org/10.1016/b978-0...
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Complex Numbers

Authors: William J. Bruce;

Complex Numbers

Abstract

Publisher Summary This chapter discusses complex numbers. In rectangular form of complex number, every number expressible in the form x + yi, where x and y are real numbers and i =, is called a complex number. The complex number x - yi is called the conjugate of x + yi. In polar form, with each complex number is associated a magnitude and a direction. The product of two complex numbers in polar form is, in general, a complex number whose absolute value is the product of the absolute values and whose amplitude is the sum of the amplitudes. This chapter also discusses series representation. Series in which the number of terms is unlimited is called an infinite series. An infinite series is said to converge or be convergent if the partial sums Sn tend to some finite value S as n becomes arbitrarily large.

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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Average
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