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youtube-dl is a free and open source software tool for downloading video and audio from YouTube [2] and over 1,000 other video hosting websites. [3] It is released under the Unlicense software license. [4] As of September 2021, youtube-dl is one of the most starred projects on GitHub, with over 100,000 stars. [5]
Binomial series. In mathematics, the binomial series is a generalization of the polynomial that comes from a binomial formula expression like for a nonnegative integer . Specifically, the binomial series is the MacLaurin series for the function , where and . Explicitly,
The binomial approximation is useful for approximately calculating powers of sums of 1 and a small number x. It states that. It is valid when and where and may be real or complex numbers . The benefit of this approximation is that is converted from an exponent to a multiplicative factor. This can greatly simplify mathematical expressions (as in ...
Partial fraction decomposition. In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is, a fraction such that the numerator and the denominator are both polynomials) is an operation that consists of expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions ...
The last day to register to vote in the Aug. 1 Shelby County-wide general election and primary election is July 2.. The Shelby County Election Commission has been doing voter registration events ...
www .freedownloadmanager .org. Free Download Manager is a download manager for Windows, macOS, Linux and Android. [ 4][ 5] Free Download Manager is proprietary software, but was free and open-source software between versions 2.5 [ 6] and 3.9.7. Starting with version 3.0.852 (15 April 2010), the source code was made available in the project's ...
Polynomial expansion. In mathematics, an expansion of a product of sums expresses it as a sum of products by using the fact that multiplication distributes over addition. Expansion of a polynomial expression can be obtained by repeatedly replacing subexpressions that multiply two other subexpressions, at least one of which is an addition, by ...