An Etymological Dictionary of Astronomy and AstrophysicsEnglish-French-Persian

فرهنگ ریشه شناختی اخترشناسی-اخترفیزیک

M. Heydari-Malayeri    -    Paris Observatory

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Number of Results: 16 Search : matri
 adjoint matrix   ماتریس ِ آبن   mârtis-e âbanFr.: matrice adjointe   The → transpose of a → matrix in which each → element is replaced by its → cofactor. Same as → conjugate transpose and → Hermitian conjugate.→ adjoint; → matrix. identity matrix   ماتریس ِ ایدانی   mâtris-e idâniFr.: matrice identité   In linear algebra, the simplest nontrivial diagonal matrix, an n-by-n square matrix with ones on the main diagonal and zeros elsewhere.→ identity; → matrix. Jacobian matrix   ماتریس ِ یاکوبی   mâtris-e JacobiFr.: matrice jacobienne   In → vector calculus, the matrix of all → first-order partial derivatives of a vector-valued → function.→ Jacobian; → matrix. Jordan matrix   ماتریس ِ ژوردان   mâtris-e Jordan (#)Fr.: matrice de Jordan   A square matrix with a constant value λ (nonzero) along the diagonal, 1's on the superdiagonal, and all other elements 0.Named after Marie Ennemond Camille Jordan (1838-1922), French mathematician who pioneered group theory, wrote on the theory of linear differential equations, and on the theory of functions, which he applied to the curve which bears his name. → matrix. matrix   ماتریس   mâtris (#)Fr.: matrice   1) An orderly array of numbers, algebraic symbols, or mathematical functions, especially when such arrays are added and multiplied according to certain rule; e.g. → Jordan matrix. 2) The fine grained material found in between the → chondrules, fragments and metal grains found inside → stony meteorites.From O.Fr. matrice, from L. matrix "female animal kept for breeding," in L.L. "womb, source, origin," from mater, → mother.Mâtris, loan from Fr., as above. matrix calculus   افماریک ِ ماتریس‌ها   afmârik-e mâtrishâFr.: calcul matriciel   The treatment of matrices whose entries are functions.→ matrix; → calculus. matrix inverse   ماتریس ِ وارون   mâtris-e vârunFr.: matrice inverse   For a → square matrix whose → determinant is not zero, the unique matrix A-1 satisfying the relation AA-1 = A-1A = I, where I is the → identity matrix.→ matrix; → inverse. nonsingular matrix   ماتریس ِ ناتکین   mâtris-e nâtakinFr.: matrice non singulière   A → square matrix that is not a → singular matrix.→ non-; → singular; → matrix. null matrix   ماتریس ِ نول   mâtris-e nulFr.: matrice nulle   An m × n matrix whose elements are all zeros. Also known as zero matrix.→ null; → matrix. similar matrices   ماتریس‌های ِ همانند   mâtrishâ-ye hamânand (#)Fr.: matrices similaires   Two → square matrices A and B that are related by B = X-1AX, where X is a square → nonsingular matrix.→ similar; → matrix. singular matrix   ماتریس ِ تکین   mâtris-e takinFr.: matrice singulière   A → square matrix that does not have a → matrix inverse.→ singular; → matrix. square matrix   ماتریس ِ چاروش   matris-e cârušFr.: matrice carée   A → matrix with equal numbers of → rows and → columns (i.e., an n × n matrix).→ square; → matrix. trace of a matrix   مله‌ی ِ ماتریس   male-ye mâtrisFr.: trace de matrice   Of a → square matrix, the → sum of the entries in the → main diagonal, i.e.: tr(A) = a11 + a22 + ... + ann = Σ aii (i = 1 to n).→ trace; → matrix. transposed matrix   ماتریس ِ ترانهاده   mâtris-e tarânahâdéFr.: matrice transposée   The matrix of → order n x m obtained from a matrix of order m x n by exchanging the order of the → rows and → columns.Tansposed, p.p. of → transpose; → matrix. unitary matrix   ماتریس ِ یکایی، ~ یکانی   mâtris-e yekâyi, ~ yekâniFr.: matrice unitaire   A square matrix whose inverse equals its adjoint.→ unitary; → matrix. zero matrix   ماتریس ِ صفر   mâtris-e zefrFr.: matrice nulle   Same as → null matrix.→ zero; → matrix.