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Longer titles found: UK Molecular R-matrix Codes (view)

searching for R-matrix 63 found (84 total)

alternate case: r-matrix

Quasi-triangular quasi-Hopf algebra (448 words) [view diff] exact match in snippet view article find links to article

and R ∈ A ⊗ A {\displaystyle R\in {\mathcal {A\otimes A}}} known as the R-matrix, is an invertible element such that R Δ ( a ) = σ ∘ Δ ( a ) R {\displaystyle

Yang–Baxter equation (3,340 words) [view diff] no match in snippet view article find links to article

{\displaystyle R} -matrix invariant basis X {\displaystyle X} for the vector space V {\displaystyle V} in the sense that the R {\displaystyle R} -matrix maps the

Ribbon Hopf algebra (451 words) [view diff] no match in snippet view article find links to article

{\displaystyle S:A\rightarrow A} R {\displaystyle {\mathcal {R}}} is a universal R matrix We assume that the underlying field K {\displaystyle K} is C {\displaystyle

Sultana N. Nahar (425 words) [view diff] exact match in snippet view article find links to article

total electron-ion recombination, theoretical spectroscopy for Breit-Pauli R-matrix method, resonant nano-plasma theranostics (RNPT) method for cancer treatment

Rank–nullity theorem (3,066 words) [view diff] no match in snippet view article find links to article

To do this, we will produce an n × ( n − r ) {\displaystyle n\times (n-r)} matrix X {\displaystyle \mathbf {X} } whose columns form a basis of the null

Ian Grant (physicist) (1,166 words) [view diff] exact match in snippet view article

package, integrating modules designed for calculations using relativistic R-matrix approach and GRASP. He also led important earlier work on radiative transfer

Stress majorization (1,171 words) [view diff] no match in snippet view article find links to article

2} or 3 {\displaystyle 3} , i.e. the ( n × r ) {\displaystyle (n\times r)} matrix X {\displaystyle X} lists points in 2 − {\displaystyle 2-} or 3 − {\displaystyle

Matrix polynomial (695 words) [view diff] no match in snippet view article find links to article

equation which holds for all matrices A in a specified matrix ring Mn(R). Matrix polynomials are often demonstrated in undergraduate linear algebra classes

Sylvester domain (176 words) [view diff] no match in snippet view article find links to article

is the smallest integer r such that the matrix is a product of an m by r matrix and an r by n matrix. Sylvester (1884) showed that fields satisfy Sylvester's

Philip George Burke (147 words) [view diff] exact match in snippet view article find links to article

was a British theoretical and computational physicist who developed the R-matrix method for studying electron collisions with atoms and molecules. He was

Yoshimine sort (1,324 words) [view diff] exact match in snippet view article find links to article

integrals. It is implemented in the IBM Alchemy program suite and in the UK R-matrix package for electron and positron scattering by molecules which is based

Oleg Zatsarinny (712 words) [view diff] exact match in snippet view article find links to article

Molecular & Optical Physics in 2008, for "the development of the B-Spline R-matrix method with non-orthogonal orbital sets for atomic structure calculations

Topological quantum computer (2,979 words) [view diff] no match in snippet view article find links to article

operators are a result of two subclasses of operators: The F matrix The R matrix The R matrix can be conceptually thought of as the topological phase that is

Loss network (570 words) [view diff] no match in snippet view article find links to article

the number of circuits route r uses on link j (A is therefore a J x |R| matrix). Consider the case where all elements of A are either 0 or 1 and for

Projection matrix (1,831 words) [view diff] no match in snippet view article find links to article

{\displaystyle \mathbf {M} } . If X {\displaystyle \mathbf {X} } is an n × r matrix with rank ⁡ ( X ) = r {\displaystyle \operatorname {rank} (\mathbf {X}

CCPForge (392 words) [view diff] exact match in snippet view article find links to article

information which has been used in publications such as 'Recent developments in R-matrix applications to molecular processes' and 'Ab initio derivation of Hubbard

Mark Child (452 words) [view diff] exact match in snippet view article find links to article

1997.0080. S2CID 93739122. Hiyama, M.; Child, M. S. (2002). "Ab initio R-matrix/multichannel quantum defect theory study of nitric oxide". Journal of Physics

Jones polynomial (2,352 words) [view diff] exact match in snippet view article find links to article

one can pick similar representations into other algebras, such as the R-matrix representations, leading to "generalized Jones invariants". The Jones polynomial

Eugene Wigner (5,211 words) [view diff] exact match in snippet view article find links to article

an important general approach to nuclear reactions, the Wigner–Eisenbud R-matrix theory, which was published in 1947. Wigner was elected to the American

Matrix representation (463 words) [view diff] no match in snippet view article find links to article

the second matrix. Hence, if an m × n matrix is multiplied with an n × r matrix, then the resultant matrix will be of the order m × r. Operations like

QR decomposition (5,100 words) [view diff] no match in snippet view article find links to article

to the use of reflections as the mechanism for producing zeroes in the R matrix. However, the Householder reflection algorithm is bandwidth heavy and difficult

Quadratic programming (1,923 words) [view diff] no match in snippet view article find links to article

framed as a quadratic programming problem, even for a generic non-square R matrix. When minimizing a function f in the neighborhood of some reference point

Latent semantic analysis (7,613 words) [view diff] no match in snippet view article find links to article

of unique terms, and n is the number of documents. T is a computed m by r matrix of term vectors where r is the rank of A—a measure of its unique dimensions

Cluster decay (3,002 words) [view diff] exact match in snippet view article find links to article

of universal curves, fission-like UNIV and UDL derived using alpha-like R-matrix theory. In order to find the released energy Q = [ M − ( M d + M e ) ]

Stochastic block model (2,073 words) [view diff] no match in snippet view article find links to article

C_{r}} , called communities; a symmetric r × r {\displaystyle r\times r} matrix P {\displaystyle P} of edge probabilities. The edge set is then sampled

Braided monoidal category (931 words) [view diff] exact match in snippet view article find links to article

category, where γ {\displaystyle \gamma } is constructed using the universal R-matrix. In fact, this example is a ribbon category as well. Knot invariants. Symmetric

Exterior covariant derivative (2,816 words) [view diff] no match in snippet view article find links to article

connection is expressed by the connection 1-forms, a skew-symmetric r × r matrix of differential 1-forms θαβ. The exterior covariant derivative of s, as

Rank (linear algebra) (4,416 words) [view diff] no match in snippet view article

basis for the column space of A. Place these as the columns of an m × r matrix C. Every column of A can be expressed as a linear combination of the r

Compound matrix (2,301 words) [view diff] no match in snippet view article find links to article

( n r ) × ( n r ) {\textstyle {\binom {n}{r}}\!\times \!{\binom {n}{r}}} matrix whose (I, J ) entry is ( − 1 ) σ ( I ) + σ ( J ) det A J c , I c , {\displaystyle

Interpolative decomposition (376 words) [view diff] no match in snippet view article find links to article

} ; {\displaystyle \{1,\ldots ,n\};} The m × r {\displaystyle m\times r} matrix A ( : , J ) {\displaystyle A_{(:,J)}} represents J {\displaystyle J} 's

Attribute hierarchy method (6,762 words) [view diff] no match in snippet view article find links to article

(R) of order (k,k), where k is the number of attributes. To obtain the R matrix from the A matrix, Boolean addition and multiplication operations are performed

E8 (mathematics) (6,100 words) [view diff] no match in snippet view article

line are orthogonal. The Cartan matrix of a rank r root system is an r × r matrix whose entries are derived from the simple roots. Specifically, the entries

Adjugate matrix (4,813 words) [view diff] no match in snippet view article find links to article

( n r ) × ( n r ) {\textstyle {\binom {n}{r}}\!\times \!{\binom {n}{r}}} matrix, denoted adjr A, whose entries are indexed by size r subsets I and J

Copeland's method (2,491 words) [view diff] no match in snippet view article find links to article

method is just the number of wins, likewise maximized by Nashville. The r matrix for this scoring system is shown in the final column. In an election with

Euler angles (5,168 words) [view diff] no match in snippet view article find links to article

extrinsic rotations (which corresponds to the constructive evaluation of the R matrix by the multiplication of three truly elemental matrices, in reverse order)

Lie bialgebra (953 words) [view diff] exact match in snippet view article find links to article

Cambridge ISBN 0-521-55884-0. Beisert, N.; Spill, F. (2009). "The classical r-matrix of AdS/CFT and its Lie bialgebra structure". Communications in Mathematical

Cohen–Macaulay ring (3,123 words) [view diff] no match in snippet view article find links to article

are all determinantal rings, defined by the r × r minors of an (r+1) × r matrix for some r. For a Noetherian local ring (R, m), the following are equivalent:

Michael C. F. Wiescher (2,019 words) [view diff] exact match in snippet view article find links to article

Heil, M.; Leblanc, P. J.; Ugalde, C.; Wiescher, M. (2010). "AZURE: An R-matrix code for nuclear astrophysics". Physical Review C. 81 (4): 045805. Bibcode:2010PhRvC

Andres and Marzo's delta (289 words) [view diff] no match in snippet view article find links to article

answers ( xij ) and xii are the values along the main diagonal of the C x R matrix of answers. This formula was extended to more complex cases and estimates

Lorentz transformation (14,859 words) [view diff] no match in snippet view article find links to article

the original boost parameters u and v. In a composition of boosts, the R matrix is named the Wigner rotation, and gives rise to the Thomas precession.

Synthetic-aperture radar (11,260 words) [view diff] no match in snippet view article find links to article

order is critical to operation of the EV method. The eigenvalue of the R matrix decides whether its corresponding eigenvector corresponds to the clutter

Rank factorization (1,944 words) [view diff] no match in snippet view article find links to article

and place them as column vectors to form the m × r {\textstyle m\times r} matrix C = [ c 1 c 2 ⋯ c r ] {\textstyle C={\begin{bmatrix}\mathbf {c} _{1}&\mathbf

Rota–Baxter algebra (1,066 words) [view diff] exact match in snippet view article find links to article

Springer-Verlag. Semenov-Tian-Shansky, M.A. (1983). "What is a classical r-matrix?". Func. Anal. Appl. 17 (4): 259–272. doi:10.1007/BF01076717. S2CID 120134842

Absorbing Markov chain (1,762 words) [view diff] no match in snippet view article find links to article

&I_{r}\end{bmatrix}},} where Q is a t-by-t matrix, R is a nonzero t-by-r matrix, 0 is an r-by-t zero matrix, and Ir is the r-by-r identity matrix. Thus

Singular value decomposition (14,592 words) [view diff] no match in snippet view article find links to article

performed first and then the algorithm is applied to the R {\displaystyle R} matrix. The elementary iteration zeroes a pair of off-diagonal elements by first

Khatri–Rao product (4,395 words) [view diff] no match in snippet view article find links to article

is c × r {\displaystyle c\times r} matrix, N {\displaystyle \mathbf {N} } is k × r {\displaystyle k\times r} matrix,. W d A = w ∙ A {\displaystyle

Alexander Varchenko (2,033 words) [view diff] exact match in snippet view article find links to article

representation of the KZ equations was identified with the associated R-matrix representation. This construction gave a geometric proof of the Kohno-Drinfeld

Controllability (5,099 words) [view diff] no match in snippet view article find links to article

n\times n} matrix and B {\displaystyle B} is a n × r {\displaystyle n\times r} matrix (i.e. u {\displaystyle \mathbf {u} } is r {\displaystyle r} inputs collected

Tangloids (1,794 words) [view diff] no match in snippet view article find links to article

of rotation angles θ , {\displaystyle \theta ,} the R {\displaystyle R} matrix will have a cos ⁡ θ {\displaystyle \cos \theta } in it, but the matching

Iterative rational Krylov algorithm (1,733 words) [view diff] no match in snippet view article find links to article

_{i}(A_{r})} are the eigenvalues of the reduced r × r {\displaystyle r\times r} matrix A r {\displaystyle A_{r}} . An Hermite interpolant G r {\displaystyle

Catalog of articles in probability theory (3,026 words) [view diff] no match in snippet view article find links to article

Gaussian random functions / lrd Lévy's modulus of continuity theorem / (U:R) Matrix normal distribution / spd Multivariate normal distribution / spd Ornstein–Uhlenbeck

Julius Lenzberg (1,039 words) [view diff] no match in snippet view article find links to article

25, 1920). New York Evening Telegram (October 16, 1922) Edison 50665-R, matrix 7208, recorded at Edison's 79 5th Avenue studio, New York, on March 11

Photon scanning microscopy (3,555 words) [view diff] case mismatch in snippet view article find links to article

Simulations of Photon Scanning Tunneling Microscopy: Fourier Modal Method and R-Matrix Algorithm". Optical and Quantum Electronics. 36 (9). Springer Science and

Intel Rapid Storage Technology (2,458 words) [view diff] no match in snippet view article find links to article

support for newer HDD/SSD v9.5.0 The product name was changed from "Intel(R) Matrix Storage Manager" to "Intel(R) Rapid Storage Technology" v9.6.0 2010 v10

Configuration state function (1,690 words) [view diff] exact match in snippet view article find links to article

Morgan, L. A.; Tennyson, J.; Gillan, C. J. (1998). "The UK molecular R-matrix codes". Computer Physics Communications. 114 (1–3): 120–128. Bibcode:1998CoPhC

Argon compounds (15,924 words) [view diff] exact match in snippet view article find links to article

(15 August 1997). "The Rydberg spectrum of ArH and KrH: calculation by R-matrix and generalized quantum defect theory". Philosophical Transactions of the

Tensor rank decomposition (6,321 words) [view diff] no match in snippet view article find links to article

X\in \mathrm {GL} _{r}(F)} is an invertible r × r {\displaystyle r\times r} matrix, A = [ a i ] i = 1 r {\displaystyle A=[\mathbf {a} _{i}]_{i=1}^{r}} ,

Germán Sierra (5,133 words) [view diff] exact match in snippet view article find links to article

elliptic R-matrix of the eight vertex free fermion model is the intertwiner R-matrix of a quantum deformed Clifford-Hopf algebra that the elliptic R-matrix of

Complex polytope (6,983 words) [view diff] no match in snippet view article find links to article

Name R1 R2 Order p r Matrix [ e 2 π i / p 0 ( e 2 π i / p − 1 ) k 1 ] {\displaystyle \left[{\begin{smallmatrix}e^{2\pi i/p}&0\\(e^{2\pi

X86 SIMD instruction listings (5,673 words) [view diff] no match in snippet view article find links to article

/r Matrix multiply signed bytes from tmm2 with signed bytes from tmm3, accumulating result in tmm1. TDPBSUD tmm1,tmm2,tmm3 VEX.128.F3.0F38.W0 5E /r Matrix

Regular complex polygon (1,846 words) [view diff] no match in snippet view article find links to article

Name R1 R2 Order p r Matrix [ e 2 π i / p 0 ( e 2 π i / p − 1 ) k 1 ] {\displaystyle \left[{\begin{smallmatrix}e^{2\pi i/p}&0\\(e^{2\pi

Complete orthogonal decomposition (764 words) [view diff] no match in snippet view article find links to article

12 {\displaystyle R_{12}} is a r × ( n − r ) {\displaystyle r\times (n-r)} matrix. One then performs another QR decomposition on the adjoint of R {\displaystyle

Tau function (integrable systems) (6,689 words) [view diff] no match in snippet view article

_{1},\dots ,\alpha _{m})} is an invertible r × r {\displaystyle r\times r} matrix valued function of z {\displaystyle z} and { α i } i = 1 , … , n {\displaystyle