COMPLEX NUMBER
\kˈɒmplɛks nˈʌmbə], \kˈɒmplɛks nˈʌmbə], \k_ˈɒ_m_p_l_ɛ_k_s n_ˈʌ_m_b_ə]\
Definitions of COMPLEX NUMBER
- 2006 - WordNet 3.0
- 2011 - English Dictionary Database
- 1985 - The Free On-line Dictionary of Computing
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By Princeton University
By DataStellar Co., Ltd
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A number of the form x+iy where i is the squareroot of -1, and x and y are real numbers, known as the"real" and "imaginary" part. Complex numbers can be plottedas points on a two-dimensional plane, known as an Arganddiagram, where x and y are the Cartesian coordinates.An alternative, polar notation, expresses a complex numberas (r e^it) where e is the base of natural logarithms, and rand t are real numbers, known as the magnitude and phase. Thetwo forms are related:r e^it = r cos(t) + i r sin(t) = x + i ywherex = r cos(t)y = r sin(t)All solutions of any polynomial equation can be expressed ascomplex numbers. This is the so-called Fundamental Theoremof Algebra, first proved by Cauchy.Complex numbers are useful in many fields of physics, such aselectromagnetism because they are a useful way of representinga magnitude and phase as a single quantity.
By Denis Howe
Word of the day
Dopamine Acetyltransferase
- An enzyme that catalyzes the of groups from acetyl-CoA to arylamines. They have wide specificity for aromatic amines, particularly serotonin, and can also catalyze acetyl transfer between arylamines without CoA. EC 2.3.1.5.