TERMIUM Plus^®

Record 1,  Textual support,  English

Record number: 1, Textual support number: 1 CONT

Multiplication of a sparse matrix with a dense matrix is a building block of an increasing number of applications in many areas such as machine learning and graph algorithms.  2, record 1, English, - dense%20matrix

Record number: 1, Textual support number: 1 OBS

dense matrix: The plural form is "dense matrices" or "dense matrixes."  3, record 1, English, - dense%20matrix

Record 1,  Textual support,  French

Record 1,  Textual support,  Spanish

Record number: 1, Textual support number: 1 CONT

Aunque no hay una definición precisa de matriz dispersa, podríamos definir las matrices dispersas como aquellas que tienen un número de coeficientes nulos suficientemente grande como para poder obtener ventaja de ello. Por contraposición, a las matrices que no son dispersas se las llama matrices densas.  1, record 1, Spanish, - matriz%20densa

Record number: 1, Textual support number: 1 OBS

matriz densa: El plural de "matriz densa" es "matrices densas".  2, record 1, Spanish, - matriz%20densa

Record 2,  Textual support,  English

Record number: 2, Textual support number: 1 DEF

A square matrix converted into another by a combination of any of the following operations : interchange of two rows or two columns; multiplication of a row or columns by a nonzero scalar, addition to the elements of one row(or column) of multiples of the corresponding elements of another row(or column).  2, record 2, English, - equivalent%20matrix

Record 2,  Textual support,  French

Record 2,  Textual support,  Spanish

Record number: 2, Textual support number: 1 DEF

[Matriz que] se puede obtener a partir de […] otra por operaciones elementales por filas y/o columnas.  1, record 2, Spanish, - matriz%20equivalente

Record number: 2, Textual support number: 1 OBS

Se llama operación elemental realizada en una matriz a cualquiera de las transformaciones siguientes: cambiar entre sí dos filas (columnas) […], multiplicar una fila (columna) por un número real distinto de cero […], sumar una fila (columna) otra fila (columna) multiplicada por un número real.  2, record 2, Spanish, - matriz%20equivalente

Record 3,  Textual support,  English

Record number: 3, Textual support number: 1 DEF

A matrix all of whose entries are zero.  3, record 3, English, - zero%20matrix

Record number: 3, Textual support number: 1 CONT

A null matrix is a matrix in which every element of the matrix equals 0. It can be of any dimension. Addition and subtraction of a null matrix leaves the original matrix unchanged, multiplication with a null matrix results in another null matrix.  4, record 3, English, - zero%20matrix

Record number: 3, Textual support number: 1 OBS

A zero matrix is sometimes called a trivial matrix. A matrix which has at least one nonzero entry is called a nontrivial matrix or nonzero matrix. (It is not required that all entries be nonzero, just that at least one of them is nonzero!)  3, record 3, English, - zero%20matrix

Record number: 3, Textual support number: 2 OBS

zero matrix: term used at Natural Resources Canada - Earth Sciences Sector.  5, record 3, English, - zero%20matrix

Record 3,  Textual support,  French

Record number: 3, Textual support number: 1 DEF

Matrice dont tous les coefficients sont nuls.  2, record 3, French, - matrice%20nulle

Record number: 3, Textual support number: 1 OBS

matrice nulle : terme en usage à Ressources naturelles Canada - Secteur des sciences de la Terre.  3, record 3, French, - matrice%20nulle

Record 3,  Textual support,  Spanish

Record 4,  Textual support,  English

Record number: 4, Textual support number: 1 CONT

A linear transformation is the sequence of a translation and a multiplication by a matrix.  1, record 4, English, - linear%20transformation

Record 4,  Textual support,  French

Record number: 4, Textual support number: 1 CONT

Les transformations utilisées pour définir chacune de ces parties sont les transformations linéaires de base bien connues en graphisme par ordinateur.  2, record 4, French, - transformation%20lin%C3%A9aire

Record 4,  Textual support,  Spanish

Record 5,  Textual support,  English

Record number: 5, Textual support number: 1 CONT

There are tow types of matrix multiplication : scalar-by-matrix multiplication and matrix-by-matrix multiplication. As a noun, a scalar is a single number or scale factor that all the matrix elements are multiplied by in scalar multiplication. This is used to scale down all the elements of a matrix in equal proportion. In graphics, this is used on row and column vectors that represent points in space. It moves a point radially toward or away from the origin(0, 0, 0). This is often done to put the values of x, y, and z within a range that graphics routines can more easily handle, especially when integer arithmetic is being performed.  1, record 5, English, - scalar%2Dby%2Dmatrix%20multiplication

Record 5,  Textual support,  French

Record 5,  Textual support,  Spanish

Record 6,  Textual support,  English

Record number: 6, Textual support number: 1 CONT

The multiplication of 16-bit signed integer vectors is a commonly used operation in MM algorithms. Further the multiplication of a matrix by a vector is easily scaled to the multiplication of two matrices.  1, record 6, English, - vector%2Dmatrix%20multiplication

Record 6,  Textual support,  French

Record number: 6, Textual support number: 1 CONT

La multiplication d'un vecteur par une matrice sous format tensoriel (produit vecteur-descripteur) est l'opération de base des itérations.  1, record 6, French, - multiplication%20d%27un%20vecteur%20par%20une%20matrice

Record 6,  Textual support,  Spanish

Record 7,  Textual support,  English

Record number: 7, Textual support number: 1 CONT

Scaling, projection, and rotations require many multiplications, and external hardware that speeds up multiplication improves processing rate. The arithmetic processor helps in this regard, but time is also wasted by formatting data and sending it to the arithmetic processor chip. Matrix multipliers... eliminate this overhead by taking large blocks of memory containing many operands, performing arithmetic operations on them, and placing them back into memory using DMA.  1, record 7, English, - matrix%20multiplier

Record 7,  Textual support,  French

Record number: 7, Textual support number: 1 CONT

Le masqueur réducteur et le multiplicateur matriciel prenaient en compte les données provenant du capteur de position de la tête, les transformaient, et les envoyaient au générateur vectoriel qui était chargé de "peindre" les bons vecteurs à l'écran. Les écrans étaient contenus dans le visiocasque porté par l'utilisateur.  1, record 7, French, - multiplicateur%20matriciel

Record 7,  Textual support,  Spanish

Record 8,  Textual support,  English

Record number: 8, Textual support number: 1 CONT

matrix-by-matrix multiplication is a sum-of-the-products operation. The result is a matrix. The multiplier, multiplicand, and product matrixes may all be of different dimensions, but their dimensions must match(in a certain way). This matching corresponds to the way the sums of products are generated from the two matries...  1, record 8, English, - matrix%2Dby%2Dmatrix%20multiplication

Record 8,  Textual support,  French

Record 8,  Textual support,  Spanish