imaginary part


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Related to imaginary part: complex number, Real part

imaginary part

n
(Mathematics) the coefficient b in a complex number a + ib, where i = √–1
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Noun1.imaginary part - the part of a complex number that has the square root of -1 as a factor
complex number, complex quantity, imaginary, imaginary number - (mathematics) a number of the form a+bi where a and b are real numbers and i is the square root of -1
pure imaginary number - an imaginary number of the form a+bi where a is 0
References in periodicals archive ?
Selected representations of imaginary part of complex impedance versus real part Z
Bigby is a sheriff of a town called Fabletown, an imaginary part of New York City.
In fact, in accordance with the imaginary part of the effective action (1), the unpredictable impulses received by the particle are given by
He shows that the measure is the product of the squared modulus of a holomorphic function with the determinant of the imaginary part of the period matrix to the power of 13.
Notice the imaginary part that seems to signify there is no such place, society, or situation.
This latter analysis yielded an estimate of the imaginary part of the index of refraction.
The imaginary part of the complex permittivity shows a clear peak which moves progressively up in frequency as the temperature is increased.
i]) i = 1,2,,n are complex numbers with real and imaginary part not equal to zero the system (1) with n --unknown complex variables is called complex linear system.
In many applications, the real as well as the imaginary part of the solution have certain physical meaning.
The real part is represented by the x-coordinate and the imaginary part by the y-coordinate.
It is a strange mix of humour and sadness but there is also an imaginary part, perhaps at the end of the world, but it is still optimistic.
The result shows that the real part and imaginary part of the permittivity keep constant respectively at 10 vol% for both samples over the whole frequency range examined in this study.