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Student Quantifications as Meanings for Quantified Variables in Complex Mathematical Statements

The Journal of Mathematical Behavior, 2021
Abstract This study investigates undergraduate students’ meanings for quantified variables in mathematical statements involving multiple quantifiers. Clinical interviews with nine undergraduate students were conducted to explore students’ meanings for quantified variables.
Morgan Early Sellers   +2 more
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Mathematical Development of the Complex Variable Boundary Element Method

1987
In this chapter, the underlying mathematics for the CVBEM will be systematically and rigorously developed. For the subsequent formulation of a workable computer algorithm, two basic approximations are made to the familiar classic Cauchy integral formula; the discretization of the problem boundary and the representation of the exact function by a trial ...
Theodore V. Hromadka, Chintu Lai
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Complex Variables in Industrial Mathematics

1988
Complex analysis has long been regarded both as an elegant subject in its own right, and as a powerful tool in applied mathematics. The subject has inescapable limitations, however, and it might be said that it has been superseded by more modern methods.
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Mathematical modeling of Fabry–Perot resonators: I Complex-variable analysis by uniformly convergent partial-fraction expansion

Journal of the Optical Society of America A, 2014
In the first part of a two-part study on the equivalent-circuit representation of any given Fabry-Perot resonator (FPR) that supports, by nature, infinitely many resonance modes, the complex-variable pole-zero structure of its scattering coefficients is extensively analyzed in general terms through partial-fraction expansion based on a corollary to ...
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