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Meaning of "normal matrix" in the English dictionary

Dictionary
DICTIONARY
section

PRONUNCIATION OF NORMAL MATRIX

normal matrix play
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GRAMMATICAL CATEGORY OF NORMAL MATRIX

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Normal matrix is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES NORMAL MATRIX MEAN IN ENGLISH?

Normal matrix

In mathematics, a complex square matrix A is normal if where A∗ is the conjugate transpose of A. That is, a matrix is normal if it commutes with its conjugate transpose. A real matrix A satisfies A∗ = AT, and is therefore normal if ATA = AAT. Normality is a convenient test for diagonalizability: a matrix is normal if and only if it is unitarily similar to a diagonal matrix, and therefore any matrix A satisfying the equation AA = AA∗ is diagonalizable. The concept of normal matrices can be extended to normal operators on infinite dimensional Hilbert spaces and to normal elements in C*-algebras. As in the matrix case, normality means commutativity is preserved, to the extent possible, in the noncommutative setting. This makes normal operators, and normal elements of C*-algebras, more amenable to analysis.

Definition of normal matrix in the English dictionary

The definition of normal matrix in the dictionary is a square matrix A for which AA* = A* A, where A* is the Hermitian conjugate of A.

WORDS THAT BEGIN LIKE NORMAL MATRIX

normal
normal curve
normal distribution
Normal School
normal time
normalcy
normalisable
normalisation
normalise
normaliser
normality
normalizable
normalization
normalize
normalizer
normally

WORDS THAT END LIKE NORMAL MATRIX

active matrix
active-matrix
aviatrix
Beatrix
Bellatrix
cicatrix
creatrix
dominatrix
fellatrix
generatrix
matrix
mediatrix
negotiatrix
orthogonal matrix
rectrix
separatrix
skew symmetric matrix
square matrix
submatrix
symmetric matrix
unitary matrix

Synonyms and antonyms of normal matrix in the English dictionary of synonyms

SYNONYMS

Translation of «normal matrix» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF NORMAL MATRIX

Find out the translation of normal matrix to 25 languages with our English multilingual translator.
The translations of normal matrix from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «normal matrix» in English.

Translator English - Chinese

正规矩阵
1,325 millions of speakers

Translator English - Spanish

normal de la matriz
570 millions of speakers

English

normal matrix
510 millions of speakers

Translator English - Hindi

सामान्य मैट्रिक्स
380 millions of speakers
ar

Translator English - Arabic

المصفوفة العادية
280 millions of speakers

Translator English - Russian

нормальная матрица
278 millions of speakers

Translator English - Portuguese

matriz normais
270 millions of speakers

Translator English - Bengali

স্বাভাবিক ম্যাট্রিক্স
260 millions of speakers

Translator English - French

matrice normale
220 millions of speakers

Translator English - Malay

Matriks biasa
190 millions of speakers

Translator English - German

normale Matrix
180 millions of speakers

Translator English - Japanese

正規行列
130 millions of speakers

Translator English - Korean

정상 행렬
85 millions of speakers

Translator English - Javanese

Matriks normal
85 millions of speakers
vi

Translator English - Vietnamese

ma trận bình thường
80 millions of speakers

Translator English - Tamil

சாதாரண அணி
75 millions of speakers

Translator English - Marathi

सामान्य मॅट्रिक्स
75 millions of speakers

Translator English - Turkish

Normal matris
70 millions of speakers

Translator English - Italian

matrice normale
65 millions of speakers

Translator English - Polish

normalna matryca
50 millions of speakers

Translator English - Ukrainian

нормальна матриця
40 millions of speakers

Translator English - Romanian

matrice normală
30 millions of speakers
el

Translator English - Greek

κανονική μήτρα
15 millions of speakers
af

Translator English - Afrikaans

normale oorsig
14 millions of speakers
sv

Translator English - Swedish

normal matris
10 millions of speakers
no

Translator English - Norwegian

normal matrise
5 millions of speakers

Trends of use of normal matrix

TRENDS

TENDENCIES OF USE OF THE TERM «NORMAL MATRIX»

The term «normal matrix» is normally little used and occupies the 139.111 position in our list of most widely used terms in the English dictionary.
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100%
FREQUENCY
Little used
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/100
The map shown above gives the frequency of use of the term «normal matrix» in the different countries.
Principal search tendencies and common uses of normal matrix
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «normal matrix».

FREQUENCY OF USE OF THE TERM «NORMAL MATRIX» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «normal matrix» during the past 500 years. Its implementation is based on analysing how often the term «normal matrix» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about normal matrix

EXAMPLES

10 ENGLISH BOOKS RELATING TO «NORMAL MATRIX»

Discover the use of normal matrix in the following bibliographical selection. Books relating to normal matrix and brief extracts from same to provide context of its use in English literature.
1
Matrix Variate Distributions
Matrix Variate Distributions gathers and systematically presents most of the recent developments in continuous matrix variate distribution theory and includes new results.
A K Gupta, D K Nagar, 1999
2
Encyclopedic Dictionary of Mathematics
If A A* = A*A, then A is said to be a normal matrix. A matrix U such that U*U = /, that is, U'1 = U*, is normal. Following G. Frobenius, we call it a unitary matrix (in the following discussion, we shall call it simply a u-matrix). A matrix H such that H * ...
Kiyosi Itô, 1993
3
Elementary Matrix Theory
IT a\ 5.9-6 Prove that every normal matrix with real characteristic roots is Hermitian. 5.9-7 Show that a normal matrix is similar to its transpose. 5.9-8 Prove that two normal matrices are unitarily similar if and only if they are similar. 5.9-9 If C is a ...
Howard Eves, 2012
4
Matrix Analysis
P2 Show that a normal matrix is unitary if and only if all its eigenvalues have absolute value 1. 2.5.P3 Show that a normal matrix is Hermitian if and only if all its eigenvalues are real. 2.5.P4 Show that a normal matrix is skew Hermitian if and ...
Roger A. Horn, Charles R. Johnson, 2012
5
Mechatronic Systems 2004
The normal matrix can be identified in (3.1) as If the normal matrix is 'near singular' then the solution for the least-squares method becomes ill-conditioned. The condition number of the normal matrix is defined as «(R) = (14) where Amoa( i2) ...
Reza Moheimani, 2005
6
Reversibility of Chronic Degenerative Disease and ...
Heine H and Anastasiadis P. 1992. Normal Matrix and Pathological Conditions. New York: Gustar Fischer Verlag. 77. 75. Heine H and Anastasiadis P. 1992. Normal Matrix and Pathological Conditions. New York: Gustar Fischer Verlag. 153.
William J. Rea, Kalpana Patel, 2010
7
Linear Algebra and Matrix Analysis for Statistics
To prove the “if” part, we assume that A is an n × n normal matrix. By the Schur's Triangularization Theorem, there exists a unitary matrix P and an upper- triangular matrix T such that A = PTP∗. Note that AA∗ = PTP∗PT∗P∗ = PTT∗P∗ and ...
Sudipto Banerjee, Anindya Roy, 2014
8
Matrix Theory: Basic Results and Techniques
Let A I (atj) be a normal matrix. If K is a It >< It principal submatrix of A, we denote by E(K) the sum of all entries of K . Show that h|A| Z maxK |E(K)| for at least one eigenvalue A of A. Let A I (atj) be an n-square complex matrix and denote mi I ...
Fuzhen Zhang, 2011
9
The Matrix Eigenvalue Problem: GR and Krylov Subspace Methods
A second confirmation of this fact comes from the realization that the left eigenvectors of a normal matrix are essentially the same as the right eigenvectors (Exercise 2.7.18). Specifically, if v is a right eigenvector, then it" is an associated left ...
David S. Watkins, 2007
10
Beginning OpenGL Game Programming
The Normal Matrix All of the lighting calculations are performed in eye space. As we covered in Chapter 4, we use the modelview matrix to transform a vertex from object space to eye space. Unfortunately, things aren't so simple when it comes ...
Jason Darby, 2009

10 NEWS ITEMS WHICH INCLUDE THE TERM «NORMAL MATRIX»

Find out what the national and international press are talking about and how the term normal matrix is used in the context of the following news items.
1
Voxel8 raises $12M to launch their electronics 3D printer by end of …
... designers and engineers of all skill levels to print embedded conductors, wires, and batteries into the normal matrix materials of 3D printing. «3ders.org, Jul 15»
2
Identification of novel drugs to target dormant micrometastases
MTD: Maximum tolerated dose. SIS: Small intestine submucosa. SISgel: A gel-forming normal matrix material prepared from SIS ... «BMC Blogs Network, May 15»
3
Normal mapping on flat water surface produces incorrect specular …
The transpose of the inverse of the upperleft 3x3 matrix of the model matrix gives a so called Normal Matrix that is a version of the model matrix ... «GameDev.net, Mar 15»
4
In-Q-Tel, CIA's venture-capital arm, invests in 3D electronics printing …
The company enables designers and engineers to print embedded conductors, wires, and batteries into the normal matrix materials of 3D ... «3ders.org, Mar 15»
5
Facebook, Apple, And Microsoft Are Ganging Up On Google
Seeking Opportunties @ Normal Matrix Organizations. I don't agree that Microsoft was an evil empire. From the tech giants of today , it was IBM ... «Pulse, Jan 15»
6
Get View Matrix from Model Matrix
This doesn't work, and I can understand why: the normal matrix is the inverse-transpose of the upper-left 3x3 section of the final model matrix. «GameDev.net, Dec 14»
7
4 Things You Can Fix About Your Aging Body
That's basically a synthetic version of the normal matrix that sits in the knee joint and prevents bone from rubbing on bone. Another option is an ... «Huffington Post, Apr 14»
8
Trouble with accessing GLSL array
#version 130 uniform mat4 MVPMatrix; // combined model/view/projection matrix. uniform mat4 NMatrix; // normal matrix. uniform mat4 ... «Devmaster, Mar 14»
9
Normals in World Space from a GLSL Shader
The normal matrix is created via first transposing and then inverting the upper 3×3 part of the world (or world-view) matrix. normalMat ... «GameDev.net, Oct 13»
10
3D Biomatrix Publishes Application Notes with Novartis …
The model was analyzed via immunohistochemistry and was found to have a normal matrix distribution and proliferative zones. A preliminary ... «PR Web, Oct 13»

REFERENCE
« EDUCALINGO. Normal matrix [online]. Available <https://educalingo.com/en/dic-en/normal-matrix>. Dec 2019 ».
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