complex variable


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complex variable

[′käm‚pleks ′ver·ē·ə·bəl]
(mathematics)
A variable which assumes complex numbers for values.
References in periodicals archive ?
For mathematics students who have completed or are completing a first course in the theory of functions of a complex variable, Heins presents a number of important topics from the theory of analytic functions that may be treated without erecting an elaborate superstructure.
Because of Dialogue, we've been able to grow our business with value-added services that include very complex variable data document solutions.
The owner of this family-owned business was spending two or three days every month writing invoices which involved complex variable calculations depending on the fuel mix supplied,
Let x be a complex variable with [absolute value of x] < 1.
where [psi](j[omega]) is the function which all poles by complex variable j[omega] are negative; [psi](-j[omega]) is the function which all poles by complex variable j[omega] are positive.
This technique is based on joint use of boundary integral equations method and the apparatus of the complex variable theory.
Even so, there are many primal-dual optimization methods for optimization problems with the complex variable in the literatures.
Thanks to its innovative design, it offers the versatility to create extensive and innovative applications across a wide range of media, including heavyweight coated stocks and envelopes, and can flexibly handle everything from short runs to complex variable data printing for personalised print communications.
This ensures that process parameters are fully understood across what is typically a complex variable space, reducing risk and providing a robust and reliable scientific approach to process validation.
A non-stationary solution, taking into account the theory of functions of a complex variable (Lavrentyev, Shabat 1973), is considered for the case of resonant coincidence of the disturbance and the first frequencies of waves.
In the case of multi-valued analytic functions of a single complex variable, the proposed solution is called "The Riemann Surface'.
Ahlfors, Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable, New York, London, 1953.

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