How to use matrices in a sentence

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Sentence Examples Clinical psychometry included the Benton visual retention test, Wechsler memory scale, and standard progressive matrices. We have now defined two operations for matrices, addition and multiplication. Factor analyses are applied to matrices of intercorrelations among observed score variables. He also worked on the problem of classifying the stabiliser of the pencil which is a linear combination of the two matrices. His research delves into matroidal structures, a concept based on graphs and matrices and its applications. To examine and simplify interpretation of correlational matrices, investigators commonly use factor analytic procedures. Next above a vector are tensors of order 2, which are often referred to as matrices. Specific accumulation regimes and modes of regulation are typically constructed in specific social spaces and spatio-temporal matrices. Here was a man months away from dying, who had moved beyond the lifelong matrices of mere politics. Magnetic resonance has been widely used in the investigation of nanomagnetic particles immersed in nonmagnetic matrices. However he also worked on differential equations, matrices and other topics in algebra, continued fractions, geometry and number theory. Of particular importance is his appreciation of the value of elementary hermitian matrices in numerical analysis. For this simple example, this means we can get to any of the six permutation matrices in a single swap. They sketch a normalization algorithm, which is based on computing logarithms of transition matrices which they approximate by power series. We can exploit the fact that the columns of these matrices must be orthogonal to reduce the number of dimensions in which to search. It is not surprising that the beginnings of matrices and determinants should arise through the study of systems of linear equations. Cultural matrices and their operating rules are often incommensurate across localities. In addition to his work on semigroups, number theory and finite fields, Schwarz contributed to the theory of non-negative and Boolean matrices. It was a matter of estimating eigenvalues of non-self-adjoint differential equations and matrices. In particular he proved results on the existence of matrices with given eigenvalues and given diagonal elements. Show More Sentences This is where those eigenvalues of random Hermitian matrices enter the picture. Less experienced analysts may wish to use written lists, chronologies, timelines, spreadsheets, and matrices to assist in their thinking. The matrix J is a signature matrix of the form where the two unit matrices do not necessarily have the same dimensions. These large matrices describe high-dimensional Euclidean spaces within which biomolecular sequences can be uniquely represented as vectors. The matrices tangle and entrap understandings of creation and knowledge to expose their threadbare construction. However he proved important results on canonical matrices as representatives of equivalence classes of matrices. A Characterization of extendibility of rational matrices is presented in terms of elementary properties. Every pit or track contains a certain chemical that reacts to protein matrices. We use the notion of supernormality to completely characterize matrices for which SCR equals zero. We used MatInspector to detect transcription factor binding sites with high compatibility to sequence matrices. In our model, product line artifacts can be use case diagrams, feature models, requirements specifications or product feature matrices. In fact, we will prove the slightly stronger result that any number of commuting square matrices with complex entries have a common eigenvector. It is a mathematical theory that studies topology using matrices, using operators that don't commute with each another. Our compatibility matrices don't indicate the supported or unsupported hardware. His main work was on associative algebras, non-associative algebras, and Riemann matrices. He developed the relation between the algebra of matrices and integral equations as well as studying boundary value problems. Note that the proximity formula seamlessly extends to non-binary connectivity matrices. Among the topics which Frobenius studied towards the end of his career were positive and non-negative matrices. The point groups of the remaining 7 crystal classes can not be described by orthogonal integer matrices. Using the MCMC method in Loki, if the number of iterations is too small, then it is more likely that the estimates of the IBD matrices will be singular. Show More Sentences However, chemical and structural bases for specific cell-polysaccharide interactions essential for their utility as 3-D cell matrices are not well defined. He discovered the rule for multiplying matrices in 1812 and it is almost certainly for this that he will be remembered rather than his other work. Because the issue is not how the simultaneous equations, partial derivatives or matrices are manipulated, but what the symbols in the various equations purport to represent. The mathematical functions include the standards found on a good pocket calculator, such as exponents, logs, trig, matrices, as well as sigmoid, gamma and log gamma functions. As a consequence, covariance matrices of the coordinate data are not of full rank, and the degrees of freedom for some statistical tests need to be adjusted. The initial covariance matrices of each lander were set to correspond to a 15 by 8 kilometer landing ellipse with a semimajor axis in the East-West direction. The ratios of branch lengths provided a starting point to further probe the evolutionary dynamics at Chs and Adh by testing for correlations between the ij matrices. Here we consider the linear discrepancy of strongly unimodular matrices. For example, the matrices describing the identity mapping and the inversion are orthogonal in any basis, viz the unit matrix and the negative unit matrix. Results of tests of outliers and assumptions of normality, homogeneity of variance-covariance matrices, linearity, and multicollinearity were satisfactory. These techniques are considered the reference techniques for the determination of complex mixtures of organic compounds present at nanomole levels in aqueous matrices. It is generally admitted that convergence of the Lanczos process for Hermitian matrices is well understood. Let P be the set of symmetric matrices such that the row sum and column sum equal to zero, and all circular minors are nonnegative. Other common practices involve transformation by row-normalization or converting asymmetric matrices to symmetric matrices. The matrices undergoing the column-by-column product are called cracovians. As the reactor embodies astatic behaviour, it is not possible to compute the matrices in a chosen operating point. The camera matrices and 3D structure are then computed for the frames 1-2-3-4, for example by first resectioning and then bundle adjustment. As further applications of our methods in Section 3 we prove a limitation theorem and two Tauberian theorems for factorable matrices. The core of the calculation is a series of matrix diagonalizations carried out by NAG routines designed to handle Hermitian matrices. In Section 3, we enumerate symmetric matrices in GL whose support avoids the diagonal in the case that n is even. Show More Sentences Suitable and efficient tools for description and derivation are algebraic notions as rings, polynomial matrices, and Diophantine equations. This article is a short study of proper values of two-by-two matrices with real entries and some application to the reduction of central conics. Wigner also discovered that the statistics of gaps can be modelled by eigenvalues of large random matrices. All banknotes are protected by watermark and electrotype, which are created using special hand-made matrices. We believe the combination of polysilicon active matrices and OLED technology could become the next generation of flat panel displays. Human lung fibroblasts are able to grow into 3D collagenated and stiffened matrices under specific conditions. Specifically, 2x2 real matrices R describe either the Minkowskian plane or the Euclidean plane. While both systems encouraged the ingrowth of neo-ligament tissue, matrices with seeded cells performed particularly well in this study. Development of biodegradable aluminum carboxymethylcellulose matrices for mosquito larvicides. Thus, the intercorrelation matrices of the three constructs are factorable. Centrosymmetric matrices, their basic properties, eigenvalues, and eigenvectors. It is well known that commutativity of matrices is very important in the theory of matrices. These part-machine incidence matrices were constructed by randomly rearranging the rows and columns of complete block diagonal matrices. Using the recently developed method of nasosorption with synthetic adsorptive matrices, a series of samples were taken. If the matrix that represents the vector product is defined, it is possible to show the relation as a product of matrices. A pair of matrices share the same set of eigenvectors if and only if they commute. It is quite apparent why a matrician missed this generalization, because his creed is to build from low-order matrices high-order arrays. Phenylalanine modified CaP was studied as a control since phenylalanine modified matrices are commercially used in immunoadsorbent columns. For sparse matrices, a factorization may create excessive fill-ins of the zero entries, which results in significant memory and operation costs. Trench, Inverse eigenproblems and associated approximation problems for matrices with generalized symmetry or skew symmetry, Linear Algebra Appl. Show More Sentences Movable type is the system of printing and typography using movable pieces of metal type, made by casting from matrices struck by letterpunches. Unusual matrices such as ice are sometime proposed as in pykecrete. Man is a mechanic, and works beautiful forms out of natural organisms. He cuts, bores, malleates, melts, casts in matrices, and spins, various articles. If we consider symmetric matrices, we can compare the estimates derived from Gauss quadrature methods with the estimates produced by extrapolation. The results reveal that the Stopford and Wells Model is unilluminating for matrices mainly because high foreign product diversification is not fitted by matrices. He continues with approximation methods, perturbation theory, quanta in crystalline materials, various matrices, harmonic oscillators and photons, and fermions. It is abundant in extracellular matrices and, as a kind of lubricative agent, can be injected into joint cavities for the treatment of osteoarthritis. Bidiagonal partition matrices are enumerated using the transfer-matrix method and are equinumerous with permutations which are sortable by two pop-stacks in parallel. Studies have resulted in the presentation of very appropriate method for the measurement of pregabalin drug in complicated matrices such as blood plasma. But on the filmsetting machine, the matrix case, which on the hot-metal caster had contained metal matrices, now contained tiny photographic negatives of each character. In the first experiment, for example, participants were presented with a series of number matrices and were tasked with finding two numbers that added up to 10 in each matrix. Winters's complex matrices and Dunham's slapstick psychodramas seemed out of place among paintings by younger artists obsessed with systems, mass media, and new technology. In essence we are looking for some way to average the individual unitary matrices Uk. But a linear combination of unitary matrices does not remain unitary. A self-contained introductory chapter on mathematical foundations covers matrices and systems of linear equations through exchange-overlap densities and the chemical bond. The GLS approach to the estimation of O-D matrices permits the combination of survey and traffic count data in a way that allows the relative accuracy of the two data sources. Right and skew-right circulant matrices remains invariant on their type when evaluated on trigonometric and hyperbolic functions that are used in this paper. Here we generalize this algorithm to rational Krylov subspaces, and we will show how to use and preserve symmetry when dealing with symmetric or Hermitian matrices. Among the revised chapters are those on linear and bilinear operators and matrices, passive circuit elements, bipolar junction transistor amplifiers, and symbolic analysis. Examples from Classical Literature The matrices thus obtained were in like manner impressed on a fusible metal, which melted at a lower temperature than the lead. The three Vale Press founts and also the punches and matrices were destroyed when the Press ceased publishing. The metal instantly solidifies, forming a slug having on its edge raised characters formed by the matrices. Thus a cast is made of the matrices, and from this cast the printing is done. The reason is the connexion with the corresponding theorem for the multiplication of two matrices. Enschede thinks that Gutenberg obtained his matrices by the second mode. In this way the matrices are held in position as casting proceeds. Find more words! 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What is the opposite of matrices? Words that rhyme with matrices What is the adverb for matrices? What is the adjective for matrices? What is the noun for matrices? Use our Sentence Generator Nearby Words matric matriarchy matriarchs matriarchate matriarchal matriarch matricidal matricide matriculant matriculate matriculated matriculating 8-letter Words Starting With m ma mat matr matri matric matrice