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Что (кто) такое Diagonally - определение
MATRIX IN WHICH THE MAGNITUDE OF THE DIAGONAL ENTRY IN A ROW IS NO LESS THAN THE SUM OF THE MAGNITUDES OF THE NONDIAGONAL ENTRIES IN THAT ROW
Diagonally dominant; Diagonal dominance; Levy–Desplanques theorem; Levy-Desplanques theorem; Strictly diagonally dominant; Diagonally dominant matrices; Diagonally-dominant
Найдено результатов: 43
Diagonally
·adv In a diagonal direction.
diagonally
see diagonal
Diagonally dominant matrix
In mathematics, a square matrix is said to be diagonally dominant if, for every row of the matrix, the magnitude of the diagonal entry in a row is larger than or equal to the sum of the magnitudes of all the other (non-diagonal) entries in that row. More precisely, the matrix A is diagonally dominant if
diagonal
I
adj. diagonal to
II
n. on the diagonal (to cut on the diagonal)
diagonal
(diagonals)
1.
A diagonal line or movement goes in a sloping direction, for example, from one corner of a square across to the opposite corner.
...a pattern of diagonal lines.
ADJ: usu ADJ n
• diagonally
Vaulting the stile, he headed diagonally across the paddock...
ADV: ADV with v, oft ADV prep
2.
A diagonal is a line that goes in a sloping direction.
The bed linen is patterned in stylish checks, stripes, diagonals and triangles.
N-COUNT
3.
In geometry, a diagonal is a straight line that joins two opposite corners in a flat four-sided shape such as a square.
Mark five points an equal distance apart along the diagonals.
N-COUNT
diagonal
[d??'ag(?)n(?)l]
¦ adjective denoting a straight line joining opposite corners of a rectangle, square, or other figure.
?(of a line) straight and at an angle; slanting.
?Mathematics denoting a matrix with non-zero elements only on the diagonal running from the upper left to the lower right.
¦ noun a diagonal line.
Derivatives
diagonally adverb
Origin
C16: from L. diagonalis, from Gk diagonios 'from angle to angle', from dia 'through' + gonia 'angle'.
Diagonal
·noun A member, in a framed structure, running obliquely across a panel.
II. Diagonal ·noun A diagonal cloth; a kind of cloth having diagonal stripes, ridges, or welts made in the weaving.
III. Diagonal ·noun A right line drawn from one angle to another not adjacent, of a figure of four or more sides, and dividing it into two parts.
IV. Diagonal ·adj Joining two not adjacent angles of a quadrilateral or multilateral figure; running across from corner to corner; crossing at an angle with one of the sides.
Diagonal lemma
STATEMENT IN MATHEMATICAL LOGIC
Diagonal Lemma; Diagonalization lemma; Diagonalization Lemma; Self-reference lemma; General self-referential lemma
In mathematical logic, the diagonal lemma (also known as diagonalization lemma, self-reference lemma or fixed point theorem) establishes the existence of self-referential sentences in certain formal theories of the natural numbers—specifically those theories that are strong enough to represent all computable functions. The sentences whose existence is secured by the diagonal lemma can then, in turn, be used to prove fundamental limitative results such as Gödel's incompleteness theorems and Tarski's undefinability theorem.
Broken diagonal
In recreational mathematics and the theory of magic squares, a broken diagonal is a set of n cells forming two parallel diagonal lines in the square. Alternatively, these two lines can be thought of as wrapping around the boundaries of the square to form a single sequence.
Orthogonal diagonalization
In linear algebra, an orthogonal diagonalization of a symmetric matrix is a diagonalization by means of an orthogonal change of coordinates.
Википедия
Diagonally dominant matrix
In mathematics, a square matrix is said to be diagonally dominant if, for every row of the matrix, the magnitude of the diagonal entry in a row is larger than or equal to the sum of the magnitudes of all the other (non-diagonal) entries in that row. More precisely, the matrix A is diagonally dominant if
where aij denotes the entry in the ith row and jth column.
This definition uses a weak inequality, and is therefore sometimes called weak diagonal dominance. If a strict inequality (>) is used, this is called strict diagonal dominance. The unqualified term diagonal dominance can mean both strict and weak diagonal dominance, depending on the context.
