imaginary part

(Mathematics) the coefficient b in a complex number a + ib, where i = √–1

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Noun

imaginary part - the part of a complex number that has the square root of -1 as a factor

imaginary part of a complex number

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

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References in periodicals archive

[[epsilon].sub.i] is the imaginary part and provides a measure of the dissipative rate of the wave in the medium.

Effect of Aluminum Oxide Nanoparticles Additives and Gamma Irradiation on the Structural and Optical Properties of Syndiotactic Polystyrene

Appell's O-functions are defined as follows; Let r [greater than or equal to] 1 and let [omega] = ([[omega].sub.1], ..., [[omega].sub.r]) be a r-tuple consisting of complex numbers with positive imaginary part. We put

Hypertranscendence of the multiple sine function for a complex period

The second part illustrates the results received in simulation by using a set-point first-order filter for different values of its time constant, and in the third section, there is a confirmation of the boundary condition for the selection of the imaginary part of the desired poles has been presented by using a simulation.

Synthesis of PI Controller with a Simple Set-Point Filter for Unstable First-Order Time Delay Processes and Integral plus Time Delay Plant

At resonance frequency, the real part of [Z.sub.i] will match closely with the free space impedance and the imaginary part will tend to infinity.

UHF Metamaterial Absorber with Small-Size Unit Cell by Combining Fractal and Coupling Lines

In Sections 2.1 and 2.2 we study the real and imaginary part of the potential in the isotropic medium and effective fugacity quasi-particle model (EQPM) in Section 2.3.

Bottomonium Suppression in Nucleus-Nucleus Collisions Using Effective Fugacity Quasi-Particle Model

The impedance magnitude, phase angle, real part, and imaginary part varied markedly with the alteration of the ripening state.

Assessment of Ripening Degree of Avocado by Electrical Impedance Spectroscopy and Support Vector Machine

Here, we chose to compare the properties of the studied composites by looking at the imaginary part of the permittivity, shown in a wide range of frequency and temperature in Figure 4.

Curing Reaction and Dielectric Properties of Rigid and Elastic Liquid Crystal Epoxy Networks Modified with Nanofillers

The strategy to get a good silencer design is to create a system where the imaginary part is small or close to zero.

Additive Manufacturing of Silencers with Microperforates

In the phenomenological spin-glass model prescribing a wide distribution of relaxation times, it has been reported that the imaginary part of the AC susceptibility is related to the density of relaxation times [6-8].

Frequency Variation of the AC Order Parameter Susceptibility of the Metamagnetic Ising Model