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Using Symbols Computer Algebraic Systems to Derive Formulas Involving Orthogonal Polynomials and Other Special FunctionsIt is shown how symbolic computer algebraic systems such as Mathematica, Macsyma, SMP, etc., can be used to derive transformation and expansion formulas for orthogonal polynomials that ...
Are you working on a project where you need to perform complex mathematical and financial operations? Did you know you could use Excel to perform such calculations using the predefined functions and formulae? Are you looking for a way to learn these functions better? If you answered yes to an...
As a student using WPS Office, mastering easy Excel formulas can significantly enhance your ability to perform calculations and data analysis efficiently. By understanding the fundamentals of formulas and functions, you can tackle academic tasks more effectively and present your work professionally. Rememb...
{1, 2, 3, 4; 5, 6, 7, 8; 9, 10, 11, 12; 13, 14, 15, 16} The comma is a column delimiting character and the semicolon is a row delimiting character. This is based on your computer settings. Step 2 - Get values from cell range B2:B17 The INDEX function returns a given ...
This sub-routine and other optimizations reduce its space complexity down to O(n). This makes it practical to compute |Fn| for very large values of n by using the computer’s memory more efficiently. Algorithm E enumerates the smooth numbers in [α,β] separately from the non-smooth ...
Sect. 2 contains the notations for functions spaces, differential operators and distributions that are relevant for the mathematical formulation and analysis of the problem. We also recall the steady and time-periodic Oseen fundamental solutions and some results for their convolution with suitably decayin...
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are circuits generated from the primitive circuit C, and λ’s denote parameters determined via error mitigation protocols. See Fig. 1. In quantum computing, we evaluate yCi using the noisy quantum computer and calculate the error-mitigated value yC′ according to the formula. The bias ...
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