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Electrical Engineering, 1942 Some of the next articles are maybe not open access.
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2017
In the eighteenth century and earlier, complex numbers were called imaginary numbers and were manipulated algebraically without giving them any geometric meaning. In the early nineteenth century the concept of the complex plane was formulated with the real and imaginary parts of complex numbers corresponding to points in the Euclidean plane.
Raymond O. Wells, Raymond O. Wells
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In the eighteenth century and earlier, complex numbers were called imaginary numbers and were manipulated algebraically without giving them any geometric meaning. In the early nineteenth century the concept of the complex plane was formulated with the real and imaginary parts of complex numbers corresponding to points in the Euclidean plane.
Raymond O. Wells, Raymond O. Wells
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Transformations in the Complex Plane
1961The most promising way of extending the engineering applications of field theory is to develop new coordinate systems. Section I listed the eleven systems whose coordinate surfaces are of the first or second degree. Klein [12] and Bocher [4] extended this list to include a class of fourth-degree surfaces known as cyclides [13].
Domina Eberle Spencer, Parry Moon
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Physical Review D, 1973
We argue that the locations of poles in complex helicity are determined completely by the Regge poles in complex angular momentum. They lie at sense'' values of the helicity, m = alpha i, alpha i l, alpha i, - 2,..., relative to the angular momentum singularities at j = alpha i.
Michael B. Green +4 more
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We argue that the locations of poles in complex helicity are determined completely by the Regge poles in complex angular momentum. They lie at sense'' values of the helicity, m = alpha i, alpha i l, alpha i, - 2,..., relative to the angular momentum singularities at j = alpha i.
Michael B. Green +4 more
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2011
Chapter 4 describes the complex plane which provides a graphical representation for complex numbers. The chapter also contains historical information about the complex plane’s invention, and complements similar historical events associated with quaternions.
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Chapter 4 describes the complex plane which provides a graphical representation for complex numbers. The chapter also contains historical information about the complex plane’s invention, and complements similar historical events associated with quaternions.
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1999
The real number system consists of both the rational numbers (numbers with terminating or repeating decimal expansions) and the irrational numbers (numbers with infinite, non-repeating decimal expansions). The real numbers are denoted by the symbol ℝ. We let ℝ2 = {(x,y : x ∈ ℝ, y ∈ ℝ} (Figure 1.1).
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The real number system consists of both the rational numbers (numbers with terminating or repeating decimal expansions) and the irrational numbers (numbers with infinite, non-repeating decimal expansions). The real numbers are denoted by the symbol ℝ. We let ℝ2 = {(x,y : x ∈ ℝ, y ∈ ℝ} (Figure 1.1).
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The American Mathematical Monthly, 2000
function theory." (In later editions, he did include a proof of part of this theorem, to illustrate the power of the concept of winding number for closed curves. It is worth mentioning that the notion of winding number is never used in this article.) It turns out that the basic facts about topology in R2 can be explained efficiently by identifying the ...
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function theory." (In later editions, he did include a proof of part of this theorem, to illustrate the power of the concept of winding number for closed curves. It is worth mentioning that the notion of winding number is never used in this article.) It turns out that the basic facts about topology in R2 can be explained efficiently by identifying the ...
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Out-of-plane metalloporphyrin complexes
Journal of Chemical Education, 1975Abstract : Recent progress in the chemistry of synthetic metalloporphyrins has shown that the porphyrin moiety can act as a bi-, tri- or hexadentate ligand, as well as the usual tetradentate ligand. In addition, the metal ion has been observed to possess 4, 5, 6 or 8-coordination.
Glenn A. Taylor, Minoru Tsutsui
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