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Summary Of: Complex plane

The complex plane is sometimes called the... Use of the complex plane in control theory... In the complex plane these polar coordinates take the form... with functions that map some subset of the complex plane into some other... It can be useful to think of the complex plane as if it occupied the surface of a sphere... put the complex plane right through the middle of it... the complex plane plus the point at infinity... So one continuous motion in the complex plane has transformed the positive square root... By cutting the complex plane we ensure not only that... long expressions is identifying the portion of the complex plane in which they converge to a finite value... Use of the complex plane in control theory... Use of the complex plane in control theory... one use of the complex plane is known as the... Another related use of the complex plane is with the...

Encyclodia Page On: Complex plane

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Geometric representation of z and its conjugate  in the complex plane. The distance along the light blue line from the origin to the point z is the modulus or absolute value of z. The angle φ is the argument of z. | | mathematics | complex numbers | Cartesian plane | real part | imaginary part | Jean-Robert Argand | Caspar Wessel | poles | zeroes | function | geometric | addition | vectors | multiplication | polar coordinates | absolute values | complex analysis | Cartesian plane | polar coordinates | arctangent | radians | Euler's formula | complex exponential function | contour integration | unit circle | complex functions | domain | range | Stereographic projection | sphere | one-to-one correspondence | extended complex plane | function | branch point | stereographic projection described above | meromorphic function | holomorphic | analytic | countably infinite | poles | gamma function | Euler-Mascheroni constant | infinite product | contour integral | residue theorem | infinite series | continued fractions | even function | can be shown | Riemann surface | already seen | discussed above | Topologically speaking | orientable | genus | control theory | Laplace transform | Nyquist stability criterion | Nyquist plot | transfer function | z-transforms | Minkowski space | split-complex numbers | dual numbers | Cartesian product | Constellation diagram | Laplace transform | Riemann sphere | Riemann surface | S plane | Z-transform | split-complex plane | dual numbers | quotient rings | here | power series | this article | Proof that holomorphic functions are analytic | uniformly convergent | Riemann zeta function | ISBN 0-486-61388-7 | ISBN 0-8284-0207-8 | E. T. Whittaker | G. N. Watson | Wikimedia Commons | Eric W. Weisstein | MathWorld | Categories | Complex analysis | Complex numbers | Control theory |
This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Complex plane".