Pauli matrices (3617 bytes)
1: ...s)|matrices]] developed by [[Wolfgang Ernst Pauli|Pauli]]. They are:
26: ...]]s and [[trace of a matrix|trace]]s of the Pauli matrices are:
33: The Pauli matrices obey the following [[commutator|commutation]] and...
44: ...race (matrix)|trace]] 0. In this sense, the Pauli matrices generate su(2). As a result, iσ_j...
48: ...nsists of all n-fold [[tensor]] products of Pauli Matrices.

FC St. Pauli (789 bytes)
1: '''F.C. Sankt Pauli e.V.''' is a [[Germany|German]] [[football (socce...
6: * [http://www.fcstpauli.de/ St. Pauli's public domain]
8: [[Category:German football clubs|St. Pauli, FC]]
9: [[Category:Hamburg|St. Pauli, FC]]
10: [[de:FC St. Pauli]]

St. Pauli (2018 bytes)
1: '''St. Pauli''' (full name: ''Sankt Pauli'') is a district of the [[Germany|German]] city o...
5: ...Berg' which later was named after its church 'St. Pauli'.
7: ...area. Since then there is [[prostitution]] in St. Pauli. And still it is best known as Hamburg's [[red-li...
11: St. Pauli is known as well as a center for the German [[pun...
13: ...s [[football (soccer)|football]] club, [[F.C. St. Pauli]].

List of matrices (5804 bytes)
1: ... some important classes of [[matrix (mathematics)|matrices]] used in [[mathematics]]:
9: *[[Block matrix]] - a matrix partitioned in sub-matrices called blocks.
17: *[[Gell-Mann matrices]]
32: ...te transpose]]. Normal matrices are precisely the matrices to which the [[spectral theorem]] applies.
36: *[[Pauli matrices]]

Pauli Rantasalmi (448 bytes)
1: '''Pauli Rantasalmi''' (b. [[May 1]] [[1979]]) is the [[gu...
7: ...ttp://www.pauli-therasmus.tk Centre of the stage: Pauli]
9: [[Category:1979 births|Rantasalmi, Pauli]]

Pauli effect (2340 bytes)
1: ...after the famous theoretical physicist [[Wolfgang Pauli]].
3: ...m. His intimate colleague Markus Fierz explains: "Pauli himself thoroughly believed in his effect." [Enz,...
7: ...ican experimental physicist [[Otto Stern]] banned Pauli from his laboratory, despite their friendship.
9: ...s was impossible. When telling the story later to Pauli, he recalled that he indeed was waiting at that v...
14: ...e to be Brief, A scientific biography of Wolfgang Pauli, Oxford Univ. Press.

Wolfgang Pauli (9702 bytes)
1: ...rticle is about Austrian-Swiss physicist Wolfgang Pauli. You may be looking for German physicist [[Wolfga...
3: [[image:wolfgang_pauli.jpg|right]]
5: '''Wolfgang Ernst Pauli''' ([[April 25]], [[1900]] – [[December 15]...
9: Pauli was born in [[Vienna]] to Wolfgang Joseph Pauli and Berta Camilla Schütz. His middle name was giv...
11: Pauli attended the Döblinger Gymnasium in Vienna, gradu...

Gell-Mann matrices (1610 bytes)
2: The '''Gell-Mann matrices''', named after [[Murray Gell-Mann]], are the [[i...
8: ...olor charge]] in much the same way that the Pauli matrices describe spin and isospin.
10: Also like the Pauli matrices the Gell-Mann matrices satisfy certain important commutation relations. ...
22: [[Category:Matrices]]

Estimation of covariance matrices (5441 bytes)
41: ...''AB'') = tr(''BA'') whenever ''A'' and ''B'' are matrices so shaped that both products exist. We get

List of LCD matrices (346 bytes)
1: This is an incomplete list of '''LCD matrices'''.
2: *[[TNFilm Matrices|TN+Film Matrices]]
3: *[[IPS Matrices]]
4: *[[S-IPS Matrices]]
5: *[[DD-IPS Matrices]]

Pauli exclusion principle (6215 bytes)
1: ...]s, and [[neutron]]s - are all subject to it. The Pauli exclusion principle underlies many of the charact...
3: [[Particle]]s obeying the Pauli exclusion principle are called [[fermion]]s. Apar...
9: ...ted as an empirical principle. It was invented by Pauli in [[1924]] to explain experimental results in [[...
11: The Pauli exclusion principle can be derived starting from ...
25: ...leus|nucleus]]. Since electrons are fermions, the Pauli exclusion principle forbids them from occupying t...

Orthonormal matrix (1153 bytes)
9: ...y matrix]]. In particular, unitary and orthogonal matrices are themselves orthonormal.
13: [[Category:Matrices]]

Matrix inversion (2159 bytes)
3: ... can be used to seed generating inverses of later matrices).
5: ...ially recursive, it becomes inefficient for large matrices). To determine the inverse, we calculate a matrix...

Normal matrix (3571 bytes)
8: ... [[hermitian]] matrices and [[positive definite]] matrices are normal. If ''A'' is unitary ''A''^*...
10: But it is not the case that all normal matrices are either unitary, hermitian, or positive defini...
48: ... in analogy to real numbers and positive definite matrices in analogy to positive real numbers.
50: ... other words, normal matrices are precisely those matrices that can be represented by a diagonal matrix with...
52: .../sup>'' and ''UBU^*'' are both diagonal matrices. In this case, the columns of ''U^*'' a...

Matrix addition (1897 bytes)
1: [[fr:Addition des matrices]] [[sv:Matrisaddition]]
3: ...tion''' is defined for two [[matrix (mathematics)|matrices]] of same dimensions.
4: The '''sum''' of two ''m''-by-''n'' matrices ''A'' and ''B'', denoted by ''A + B'', is again a...
32: The ''m'' × ''n'' matrices with matrix addition as operation form an [[abeli...
34: For any arbitrary matrices ''A'' (of size ''m'' × ''n'') and ''B'' (of...

Generalized permutation matrix (616 bytes)
8: ...d its inverse are both nonnegative matrices (i.e. matrices with nonnegative entries), then the matrix is a g...
10: [[Category:Matrices]]

Dirac operator (2403 bytes)
33: where <math>\sigma_i</math> are the [[Pauli matrices]]. Note that the anticommutation relations
34: for the Pauli matrices make the proof of the above defining property tri...

Quantum error correction (4071 bytes)
16: ...''error basis'' (which is here given by the Pauli matrices and the [[identity]]).
18: ...drome tells us which, so that we can let the same Pauli operator act again on the corrupted qubit to reve...

Matrix theory (2173 bytes)
1: ...ch focuses on the study of [[matrix (mathematics)|matrices]]. Initially, a sub-branch of [[linear algebra]]...
3: ...[array]] of numbers. For an elementary article on matrices, their basic properties, and history, see the art...
5: ...es]] play a special role, because the ''n''x''n'' matrices for fixed ''n'' have many [[closure (mathematics)...
7: ...try 1 in each row and each column. These types of matrices are used in [[combinatorics]].
11: [[Positive-definite]] matrices occur in the search for [[maxima and minima]] of ...

Similarity matrix (2438 bytes)
1: ... to their counterparts [[distance matrix|distance matrices]].
5: Similarity matrices are used in [[sequence alignment]]. Higher scores...
7: ...matrices are much simpler than protein similarity matrices. A simple matrix will assign, for example, the sa...
9: Amino acid similarity matrices are more complicated, because there are 20 amino ...
11: ...has given rise to the PAM series of matrices. PAM matrices are labelled based on how many nucleotide changes...

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