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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 ...
One can obtain polynomials very close to the optimal one by expanding the given function in terms of Chebyshev polynomials and then cutting off the expansion at the desired degree. This is similar to the Fourier analysis of the function, using the Chebyshev polynomials instead of the usual trigonometric functions.
Nielsen, best known for delivering TV ratings, is getting ready for a future when it gauges a lot more than what people are watching on TV. The media-measurement giant plans to launch a new system ...
This list is intended to include links to all publicly available weekly lists of Nielsen ratings from 1950 through 1997. (Subsequent to 1997, there have been other archives created such as that at tvbythenumbers.zap2it.com and other sites, though archive.org may need to be used to access this information.
Headquartered in New York City, it is best known for the Nielsen ratings, an audience measurement system of television viewership that for years has been the deciding factor in canceling or renewing television shows by television networks. As of August 2024, it is the primary part of Nielsen Holdings.
A preliminary investigation was undertaken, but the technology was never given serious consideration. The concept was written off and forgotten, as Arbitron had larger issues in its competition with the Nielsen Company for television ratings. After losing to Nielsen Company, Arbitron went back to its core business—radio ratings.
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 ...
This category is for television shows that have finished #1 in the Nielsen ratings for a particular TV season at least once. Pages in category "Nielsen ratings winners" The following 34 pages are in this category, out of 34 total.