imaginary unit


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Related to imaginary unit: Complex numbers

imaginary unit

n. Symbol i
The square root of -1, corresponding to the point (0,1) in the geometric representation of complex numbers as points in a plane.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

imag′inary u′nit


n.
the complex number
i.
[1905–10]
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.
References in periodicals archive ?
This point should be noted as the spinor of wave function is a quaternion and since the coefficients are complex constants, their order and the imaginary unit j are important.
There are three imaginary units in quaternions which have the property
(a) Imaginary unit: when the direction of unit vector [i.sub.q] is incapable of playing a major role in the complex-quaternion wave function, the unit vector [i.sub.q] will be degenerated into the imaginary unit i.
Moreover, under certain different circumstances, one should choose different approximate results (imaginary unit i or unit vector [i'.sub.q], etc.) for the complex-quaternion wave functions, in order to facilitate these complex-quaternion wave functions to be degenerated into a few wave functions, described with complex-numbers, in the conventional quantum mechanics.
To support local integrity checking, the parent node first compares just computed difference value with the currently received difference value (imaginary unit) from the child node and then compares the difference value with local threshold [delta].
For this, it separates SU[M.sub.2] into real unit SU[M.sub.2R] and imaginary unit SU[M.sub.2IM].
[LAMBDA] [member of] R(X; Y) and s{[LAMBDA]} [less than or equal to] 2 if and only if there exists an imaginary unit g, such that [LAMBDA] belongs to
While many property experts expected property prices to decline in anticipation of the 25,000 imaginary units to be delivered in 2015, the month of September passed smoothly in Dubai amidst price stabilisation.
The three rightwing armies contained no fewer than seventeen corps and large numbers of imaginary units. Like all German deployments in this period, it extended from Aachen to Strasbourg; this was a function of available deployment space and efficient use of rail capacity.