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ZERO MATRIX [9 records]

Record 1 2023-09-06

English

Subject field(s)
  • Computer Mathematics
CONT

In numerical analysis and scientific computing, a sparse matrix... is a matrix in which most of the elements are zero.

OBS

sparse matrix: The plural form is "sparse matrices" or "sparse matrixes."

Key term(s)
  • sparse matrices
  • sparse matrixes

French

Domaine(s)
  • Mathématiques informatiques
DEF

Matrice dont une grande proportion des éléments sont nuls.

Spanish

Campo(s) temático(s)
  • Matemáticas para computación
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.

OBS

matriz dispersa: El plural de "matriz dispersa" es "matrices dispersas".

Key term(s)
  • matrices dispersas
Save record 1

Record 2 2020-03-13

English

Subject field(s)
  • Relativity (Physics)
  • Informatics
CONT

A fact from linear algebra is that the trace of a matrix is equal to the sum of its eigenvalues. So each Pauli matrix must have two eigenvalues that add up to zero.

French

Domaine(s)
  • Relativité (Physique)
  • Informatique
CONT

Dans certains modes de réalisation, un agencement d'un circuit quantique arbitraire est réduit à un agencement d'exposants d'une matrice de Pauli à bits quantiques multiples et de mesures d'une matrice de Pauli à bits quantiques multiples.

Spanish

Save record 2

Record 3 2019-07-10

English

Subject field(s)
  • Mathematics
  • Magnetic Resonance Imaging
CONT

Processing of MRI data is usually performed in an array processor using the Fast Fourier Transform(FFT) algorithm. These computational requirements generally require the input data to be in a matrix whose dimensions are a power of 2, such as 128x128, 256x256, or 512x512. If the acquired k-space data does not complete this matrix, it is customary to fill in the missing cells with zeroes, a technique called zero padding, zero filling, or zero-interpolation filling(ZIP).

French

Domaine(s)
  • Mathématiques
  • Imagerie par résonance magnétique
DEF

Remplissage des lignes ou des portions non utilisées du plan de Fourier par des zéros [...]

Spanish

Save record 3

Record 4 2016-02-25

English

Subject field(s)
  • Mathematics
OBS

A matrix in which all elements are zero above the diagonal(a lower triangular matrix), or else below the diagonal(an upper triangular matrix).

French

Domaine(s)
  • Mathématiques

Spanish

Save record 4

Record 5 2013-10-01

English

Subject field(s)
  • Molecular Biology
CONT

Analysis of Molecular Variance(AMOVA) is a method for studying molecular variation within a species. Electrophoresis, one of the most widely used methods for studying the structure of DNA, produces data of the form of 0s and 1s where 1 denotes the presence of a band and zero its absence, e. g. Sample Band A 0101... B 1000... C 0110... AMOVA works on such data to create a distance matrix between samples in order to measure the genetic structure of a population. In statistical terms, AMOVA is a testing procedure based on permutational analysis and involves few assumptions.

French

Domaine(s)
  • Biologie moléculaire
CONT

L'analyse de la variance moléculaire et une analyse des groupements par la méthode des mesures pairées non pondérées ont servi à examiner la structure de la population et à fractionner la variance génétique.

Spanish

Save record 5

Record 6 2012-06-05

English

Subject field(s)
  • Storage Media (Data Processing)
DEF

A one-to-one representation of the hole patterns of a punched card, e. g. a matrix in which a one represents a punch and a zero represents the absence of a punch. [Definition officially approved by GESC. ]

OBS

card image: term officially approved by the Government EDP (Electronic Data Processing) Standards Committee (GESC).

French

Domaine(s)
  • Supports d'information (Informatique)
DEF

Représentation de l'ensemble physique constitué par des perforations (ou l'absence de perforations) d'une carte perforée. Cette représentation peut se faire au moyen d'une matrice dans laquelle un 1 représenterait une perforation et un 0 l'absence de perforation.

OBS

image de carte: terme uniformisé par le Comité des normes gouvernementales en informatique (CNGI).

Spanish

Campo(s) temático(s)
  • Medios de almacenamiento (Procesamiento de datos)
DEF

Es una representación fiel, en la memoria, de cada uno de los caracteres registrados en una tarjeta (ficha) perforada, a diferencia de la representación en imagen binaria (binary image).

Save record 6

Record 7 2011-01-26

English

Subject field(s)
  • Mathematics
  • Econometrics
DEF

A matrix all of whose entries are zero.

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.

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!)

OBS

zero matrix : term used at Natural Resources Canada-Earth Sciences Sector.

French

Domaine(s)
  • Mathématiques
  • Économétrie
DEF

Matrice dont tous les coefficients sont nuls.

OBS

matrice nulle : terme en usage à Ressources naturelles Canada - Secteur des sciences de la Terre.

Spanish

Save record 7

Record 8 1993-10-05

English

Subject field(s)
  • Acoustics (Physics)
DEF

The ratio of the applied excitation force phasor to the resulting velocity phasor with all other connection points of the system free, i. e. having zero restraining forces. Free impedance is the arithmetic reciprocal of a single element of the mobility matrix.

OBS

Historically, often no distinction has been made between blocked impedance and free impedance. Caution should, therefore, be exercised in interpreting published data. While experimentally determined free impedances could be assembled into a matrix, this matrix would be quite different from the blocked impedance matrix, resulting from mathematical modelling of the structure and, therefore, would not conform to the requirements for using mechanical impedance in a overall theoretical analysis of the system.

French

Domaine(s)
  • Acoustique (Physique)
DEF

Rapport du vecteur tournant de la force d'excitation au vecteur tournant de la vitesse résultante, tous les autres points de connexion du système étant libres, c'est-à-dire ayant des forces de contrainte nulle. L'impédance libre est l'inverse arithmétique d'un élément unique de la matrice de mobilité.

OBS

Par le passé, on a rarement fait la distinction entre impédance bloquée et impédance libre. Il faudrait donc faire attention lorsqu'on interprète les données publiées. Alors que les impédances libres déterminées expérimentalement pourraient être regroupées en une matrice, celle-ci serait tout à fait différente de la matrice d'impédance bloquée résultant de la modélisation mathématique de la structure et ne serait donc pas conforme aux exigences portant sur l'utilisation de l'impédance mécanique dans une analyse théorique globale du système.

Spanish

Save record 8

Record 9 1984-07-05

English

Subject field(s)
  • Computer Hardware
OBS

a matrix whose determinant is nearly zero.

French

Domaine(s)
  • Matériel informatique

Spanish

Save record 9

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