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The Chebyshev polynomials form a complete orthogonal system. The Chebyshev series converges to f(x) if the function is piecewise smooth and continuous. The smoothness requirement can be relaxed in most cases – as long as there are a finite number of discontinuities in f(x) and its derivatives. At a discontinuity, the series will converge to ...
Consumer Reports (CR), formerly Consumers Union (CU), is an American nonprofit consumer organization dedicated to independent product testing, investigative journalism, consumer-oriented research, public education, and consumer advocacy.
The Chebyshev PS method is frequently confused with other Chebyshev methods. Prior to the advent of PS methods, many authors [ 7 ] proposed using Chebyshev polynomials to solve optimal control problems; however, none of these methods belong to the class of pseudospectral methods .
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Consumers' Checkbook/Center for the Study of Services (doing business as Consumers’ CHECKBOOK) is an independent, nonprofit consumer organization.It was founded in 1974 [1] in order to provide survey information to consumers about vendors and service providers.
Old logo (1972-2018) The United States Consumer Product Safety Commission (USCPSC, CPSC, or commission) is an independent agency of the United States government.The CPSC seeks to promote the safety of consumer products by addressing "unreasonable risks" of injury (through coordinating recalls, evaluating products that are the subject of consumer complaints or industry reports, etc ...
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Clenshaw–Curtis quadrature and Fejér quadrature are methods for numerical integration, or "quadrature", that are based on an expansion of the integrand in terms of Chebyshev polynomials. Equivalently, they employ a change of variables x = cos θ {\displaystyle x=\cos \theta } and use a discrete cosine transform (DCT) approximation for ...