Information | |
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has gloss | eng: In mathematics, a logarithm of a matrix is another matrix such that the matrix exponential of the latter matrix equals the original matrix. It is thus a generalization of the scalar logarithm and in some sense an inverse function of the matrix exponential. Not all matrices have a logarithm and those matrices that do have a logarithm may have more than one logarithm. The study of logarithms of matrices leads to Lie theory since when a matrix has a logarithm then it is in a Lie group and the logarithm is the corresponding element of the Lie algebra. |
lexicalization | eng: logarithm of a matrix |
instance of | (noun) the exponent required to produce a given number logarithm, log |
Meaning | |
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German | |
has gloss | deu: In der Mathematik ist der Logarithmus einer Matrix eine Verallgemeinerung des skalaren Logarithmus auf Matrizen. Er ist in gewissem Sinn eine Umkehrfunktion des Matrixexponentials. |
lexicalization | deu: Matrixlogarithmus |
Hungarian | |
has gloss | hun: Definíció A B mátrix egy adott A mátrix logaritmusa ha B exponenciálisa A-nak: : e^B = A. \, Példa: síkban való forgatás mátrixának logaritmusa |
lexicalization | hun: mátrix logaritmusa |
Castilian | |
has gloss | spa: En matemática, el logaritmo de una matriz es una función matricial que generaliza el logaritmo escalar a matrices. Es en cierto sentido la función inversa de la exponenciación de matrices. |
lexicalization | spa: logaritmo de una matriz |
Swedish | |
has gloss | swe: Inom matematiken är matrislogaritm en generalisering av begreppet logaritm till att gälla även kvadratiska matriser. Matrislogaritmen är den inversa matrisfunktionen till matrisexponentialen. |
lexicalization | swe: Matrislogaritm |
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