Application of the theory of functions of a complex variable to solution of a temperature problem in bending of thin platesadrenal glandsblood chemistryblood sugarbody weightcorticosteronestarvationNot Availabledoi:10.1007/BF00889473R. N. Shvets
By applying the series expansion technique in the complex variable method established by Muskhelishvili, the plane elasticity problem for the stress and displacement field around a lined circular tunnel in conjunction with the consideration of misfit and interaction between the liner and the surrounding ...
The complex variable is denoted by z = x + iy, with x its real part and y its imaginary part. The function itself is generally complex valued, and can also be written as a sum of its real and imaginary part, (1.19)f(z)=u(z)+iv(z). Both real valued functions u and υ may...
This chapter introduces the basics of complex variable method and investigates its application to the particular problems of engineering interest. It also reviews complex variable theory to provide a general background needed to develop the elasticity solutions. Complex variable theory provides a very pow...
RetrieveEnvironmentVariableValueResponse Contains the response from the RetrieveEnvironmentVariableValue function. RetrieveExchangeRateResponse Contains the response from the RetrieveExchangeRate function. RetrieveFinanceAndOperationsIntegrationDetailsResponse Contains the response from the RetrieveFinanceAndOperationsIntegra...
You still have a trade-off between approximation error and numerical error, but it’s a better trade-off. If the function f that you want to differentiate is analytic, i.e. differentiable as a function of a complex variable, you can take the step h to be a complex number. When you ...
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The problem of optimizing a real-valued function of complex variablesf(z,{z}^{\ast }):{\mathfrak{C}}\to {\mathbb{R}}, where the set{\mathfrak{C}}is given by{{\mathfrak{C}}}^{n}:\,=\{({\bf{z}},{{\bf{z}}}^{\ast })=({z}_{1},\ldots ,{z}_{n},{z}_{1}^...
The representation of solutions uses mixed-integer genotypes and variable-length chromosomes to face a complex problem of task decomposition and high-level control generation. A memory operator is introduced to face convergency uncertainties issued from the irregularities of both discontinuous evaluation ...
Variable-latency class41,42 dividers are very rare due to their complexity and area constraints. A high radix divider43 reduces the latency but requires a high-capacity LUT, which is impractical for implementation. The LUT c lass27,44 requires storage such as read-only memory (...