Definition of Determinant. Meaning of Determinant. Synonyms of Determinant

Here you will find one or more explanations in English for the word Determinant. Also in the bottom left of the page several parts of wikipedia pages related to the word Determinant and, of course, Determinant synonyms and on the right images related to the word Determinant.

Definition of Determinant

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Skew symmetrical determinant
Skew Skew, a. Turned or twisted to one side; situated obliquely; skewed; -- chiefly used in technical phrases. Skew arch, an oblique arch. See under Oblique. Skew back. (Civil Engin.) (a) The course of masonry, the stone, or the iron plate, having an inclined face, which forms the abutment for the voussoirs of a segmental arch. (b) A plate, cap, or shoe, having an inclined face to receive the nut of a diagonal brace, rod, or the end of an inclined strut, in a truss or frame. Skew bridge. See under Bridge, n. Skew curve (Geom.), a curve of double curvature, or a twisted curve. See Plane curve, under Curve. Skew gearing, or Skew bevel gearing (Mach.), toothed gearing, generally resembling bevel gearing, for connecting two shafts that are neither parallel nor intersecting, and in which the teeth slant across the faces of the gears. Skew surface (Geom.), a ruled surface such that in general two successive generating straight lines do not intersect; a warped surface; as, the helicoid is a skew surface. Skew symmetrical determinant (Alg.), a determinant in which the elements in each column of the matrix are equal to the elements of the corresponding row of the matrix with the signs changed, as in (1), below. (1) 0 2 -3-2 0 53 -5 0 (2) 4 -1 71 8 -2-7 2 1 Note: This requires that the numbers in the diagonal from the upper left to lower right corner be zeros. A like determinant in which the numbers in the diagonal are not zeros is a skew determinant, as in (2), above.

Meaning of Determinant from wikipedia

- In mathematics, the determinant is a scalar value that is a function of the entries of a square matrix. The determinant of a matrix A is commonly denoted...
- components of its output, its determinant is referred to as the Jacobian determinant. Both the matrix and (if applicable) the determinant are often referred to...
- In quantum mechanics, a Slater determinant is an expression that describes the wave function of a multi-fermionic system. It satisfies anti-symmetry requirements...
- In linear algebra, a minor of a matrix A is the determinant of some smaller square matrix, cut down from A by removing one or more of its rows and columns...
- In epidemiology, a risk factor or determinant is a variable ****ociated with an increased risk of disease or infection.: 38  Due to a lack of harmonization...
- Cytoplasmic determinants are special molecules which play a very important role during oocyte maturation, in the female's ovary. During this period of...
- mathematics, in particular linear algebra, the matrix determinant lemma computes the determinant of the sum of an invertible matrix A and the dyadic product...
- statistics, the pseudo-determinant is the product of all non-zero eigenvalues of a square matrix. It coincides with the regular determinant when the matrix is...
- and later named after him. Hesse originally used the term "functional determinants". The Hessian is sometimes denoted by H or, ambiguously, by ∇2. Suppose...
- Moore determinant, named after Eliakim Hastings Moore, may refer to The determinant of a Moore matrix over a finite field The Moore determinant of a Hermitian...