Sentence examples for expansion functions from inspiring English sources

Exact(27)

The method employs one-sided Jacobi polynomials as radial expansion functions and Fourier exponentials as azimuthal expansion functions.

Using power series expansions in the thickness coordinate for the displacement components, recursion relations are obtained among the expansion functions.

To accommodate the slow exponential decay of the velocities at infinity, extra expansion functions are introduced, which are handled analytically.

Analytic expressions are obtained for all the integrals in the method for a suitable choice of expansion functions.

The computational effort to determine the expansion functions using the alpha cut method scales polynomially with the number of variables rather than exponentially.

It is shown that Serendipity Lagrange elements solve some of the shortcomings of the most commonly used Unified Formulation beam models based on Taylor and Lagrange expansion functions.

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The function returned by compiler-macro-function is a function of two arguments, called the expansion function.

The macroexpand hook, in turn, calls the expansion function with the form as its first argument and the environment as its second argument.

To expand a compiler macro, the expansion function is invoked by calling the macroexpand hook with the expansion function as its first argument, the entire compiler macro form as its second argument, and the current compilation environment (or with the current lexical environment, if the form is being processed by something other than compile-file) as its third argument.

Different indicators like fluidization index, particulate expansion function, pressure drop of bed and distributor, minimum fluidization and bubbling velocities were used to characterize the stability of fluidized bed.

The effect of the electrodes and the electric boundary conditions are taken into consideration through the modification of the higher order plate equations by changing the expansion function of the electric potential for this particular problem.

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