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Definition of Imaginary part
1. Noun. The part of a complex number that has the square root of -1 as a factor.
Group relationships: Complex Number, Complex Quantity, Imaginary, Imaginary Number
Generic synonyms: Pure Imaginary Number
Definition of Imaginary part
1. Noun. (complex analysis) Of a complex number ''a + bi'', the value ''b''. ¹
¹ Source: wiktionary.com
Lexicographical Neighbors of Imaginary Part
Literary usage of Imaginary part
Below you will find example usage of this term as found in modern and/or classical literature:
1. Transactions of the American Institute of Electrical Engineers by American Institute of Electrical Engineers (1919)
"If the polyphase load has a lagging power factor, imaginary part of n E„. /, will
be positive. Hence in this case the right hand side of E will be positive, ..."
2. Scientific Papers by John William Strutt Rayleigh (1899)
"be positive, while the imaginary part is negative. The same is true of Re" ; or,
as R is taken positive, a lies between 0 and — £TT. Since, as we have seen, ..."
3. Proceedings of the London Mathematical Society by London Mathematical Society (1907)
"... if the imaginary part of z is negative. Reasoning strictly analogous to that
used in previous cases shows that, if |z|<a, \Q(zx)/J0(iaz)\ tends to zero ..."
4. The Advanced Part of A Treatise on the Dynamics of a System of Rigid Bodies by Edward John Routh (1884)
"This means that the correction to the imaginary part of the root depends on the
... The addition to the imaginary part alters the period of the oscillation ..."
5. Elementary Mathematical Analysis by John Wesley Young, Frank Millett Morgan (1918)
"In a real number the imaginary part is zero; in a pure imaginary the real ...
When two complex numbers differ only in the sign of the imaginary part they ..."
6. Trilinear Coordinates and Other Methods of Modern Analytical Geometry of Two by William Allen Whitworth (1866)
"If the straight lines be real they may be regarded as the limiting case of the
hyperbola, when the imaginary part connecting the two real branches has ..."
7. Colorado College Studies. by Colorado College (1890)
"If we are informed by some other means what is the imaginary part of each
coordinate, then this knowledge, combined with that of the position of the point, ..."
8. Hydro-electric Power by Lamar Lyndon (1916)
"The imaginary part is, likewise, an ordinary quantity but has the designating
... the sum being a complex quantity, with a real and an imaginary part. ..."
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