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In numerical linear algebra, the tridiagonal matrix algorithm, also known as the Thomas algorithm (named after Llewellyn Thomas), is a simplified form of Gaussian elimination that can be used to solve tridiagonal systems of equations. A tridiagonal system for n unknowns may be written as
The sum of squared deviations needed to calculate sample variance (before deciding whether to divide by n or n − 1) is most easily calculated as = From the two derived expectations above the expected value of this sum is
In linear algebra, the quotient of a vector space by a subspace is a vector space obtained by "collapsing" to zero. The space obtained is called a quotient space and is denoted V / N {\displaystyle V/N} (read " V {\displaystyle V} mod N {\displaystyle N} " or " V {\displaystyle V} by N {\displaystyle N} ").
the sensitivity index d′ (pronounced "d-prime"), the distance between the mean of the distribution of activity in the system under noise-alone conditions and its distribution under signal-alone conditions, divided by their standard deviation, under the assumption that both these distributions are normal with the same standard deviation.
In physics, the special theory of relativity, or special relativity for short, is a scientific theory of the relationship between space and time.In Albert Einstein's 1905 paper, On the Electrodynamics of Moving Bodies, the theory is presented as being based on just two postulates: [p 1] [1] [2]
The inflectional system regularised many irregular inflectional forms, [48] and gradually simplified the system of agreement, making word order less flexible. [49] The transition from Old to Middle English can be placed during the writing of the Ormulum. [50]
Aristotle [A] (Attic Greek: Ἀριστοτέλης, romanized: Aristotélēs; [B] 384–322 BC) was an Ancient Greek philosopher and polymath.His writings cover a broad range of subjects spanning the natural sciences, philosophy, linguistics, economics, politics, psychology, and the arts.
In 2019, the GDP of Réunion at market exchange rates, not at PPP, was estimated at 19.5 billion euros (US$21.8 bn) and the GDP per capita (also at market exchange rates) was 22,629 euros (US$25,333), [citation needed] the highest in sub-Saharan Africa, [108] but only 61.7% of metropolitan France's GDP per capita that year, and 73.5% of the ...