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## Filters

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Coverings of transfinite matrices

1974
*
Journal of combinatorial theory. Series A
*

This theorem is a consequence

doi:10.1016/0097-3165(74)90039-9
fatcat:h5nac3rqx5cgbofkujegb7u43e
*of*the canonical form for bipartite graphs offinite exterior dimension (in the language*of**matrices*: a matrix which admits*of*a finite*cover*) established by Dulmage and Mendelsohn ... Subsets*of*a Cartesian product X x Y, where X and Y are arbitrary sets, are considered as a generalization*of*incidence*matrices*. ... It is the purpose*of*this paper to investigate some properties*of**matrices*for which the restriction as to the finiteness*of*the*cover*has been discarded. ...##
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Page 8051 of Mathematical Reviews Vol. , Issue 2003j
[page]

2003
*
Mathematical Reviews
*

pertaining to \ operation) as the cardinal

*of*a set*covering*the events related to A. ... Furthermore, the elements*of**matrices*D and W are computed in a demand-driven way, which can reduce the required memory capacity. ...##
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Book Review: Rekursive Funktionen

1952
*
Bulletin of the American Mathematical Society
*

But the part dealing with the special theory is especially complete, and the latter chapters

doi:10.1090/s0002-9904-1952-09607-5
fatcat:i5lhotxxvrekdhzvziwyitsnbq
*of*this part contain material not*covered*or*covered*only summarily in the literature. ... associated with the*transfinite*ordinals*of*Cantor's second number class. ...##
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Computational Aspects of Heat Transfer in Structures via Transfinite-Element Formulation

1988
*
Journal of thermophysics and heat transfer
*

The ar- rangement forms an upper and lower

doi:10.2514/3.56221
fatcat:4bd5owrqpnaqnjgruxmi2ysmfa
*cover**of*triangular networks separated by a tetrahedron core. The data assumed for the computation*of*the thermal response are shown in Fig. 2. ... The comparative temperature his- Exact/*Transfinite*Convent ional/Consistent Linear/*Transfinite*Convent ional /Lumped Fig. 1 Comparative thermal response*of*structural member with combined heai- transfer ...##
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Page 150 of Mathematics Teacher Vol. 54, Issue 3
[page]

1961
*
Mathematics Teacher
*

These lectures

*covered*such topics as probability, simple harmonic motion, Fibonacci series and*matrices*, and*transfinite*numbers. METHOD AND PROCEDURE Subjects. ... Topics considered were basic op- erations with*matrices*, the algebra*of*two- by-two*matrices*(fields and rings), inver- sion*of**matrices*, the determinant function, isomorphism between complex numbers and ...##
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Page 344 of American Mathematical Society. Bulletin of the American Mathematical Society Vol. 48, Issue 5
[page]

1942
*
American Mathematical Society. Bulletin of the American Mathematical Society
*

Their development does not

*cover*the case*of*a matrix whose minimum equation has repeated roots, but what they do give illustrates the general ideas and includes many classes*of**matrices*important in other ... The chapter closes with a survey*of*the theory*of*similarity*of**matrices*. ...##
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Page 1724 of Mathematical Reviews Vol. 55, Issue 6
[page]

1978
*
Mathematical Reviews
*

The paper under review is a short survey

*of*some properties*of*the Schur complement,*covering*mainly results due to Crabtree, Haynsworth, Ostrowski, Carlson, and Schneider, together with a discussion*of*... If A and B are arbitrary*matrices**of*the same size, then A o B is the Hadamard product*of*A and B. The main result*of*this paper is that if A and B are M-*matrices**of*the same size, then A o B~! ...##
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Page 972 of Mathematical Reviews Vol. 12, Issue 11
[page]

1951
*
Mathematical Reviews
*

CONTINUUM, PROBLEM

*OF*. numbers). See: sets (*transfinite*CONVERGENCEIN MEAN. ... . _ See: algebra: linear (*matrices*; _ special*matrices*); numerical methods (systems*of*linear equations). ...##
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Page 914 of Mathematical Reviews Vol. 45, Issue 4
[page]

1973
*
Mathematical Reviews
*

The author deals mainly with packing and

*covering*problems for families*of*matroids defined on the same set*of*elements. ... number*of*Hadamard- inequivalent*matrices**of*order a power*of*2. ...##
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Page 601 of Mathematical Reviews Vol. 6, Issue 11
[page]

1945
*
Mathematical Reviews
*

CONTINUUM, PROBLEM

*OF*. See: sets (*transfinite*num- bers). CONVERGENCEIN MEAN. ... A. 390 Graf, U. 166 Fabricius-Bjerre,F. 321 Pratelli, G. 390 DETERMINANTS. _ See: algebra: linear (*matrices*; special*matrices*); numerical methods (systems*of*linear equations). DIFFERENCES: FINITE. ...##
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Page 165 of Mathematical Reviews Vol. 12, Issue 3
[page]

1951
*
Mathematical Reviews
*

It seeks rather to develop the theory

*of*vectors, tensors,*matrices*, and linear operators in a unified fashion, and to point the way to the manifold applications*of*the theory. ... It*covers*a wide range*of*mathematical and physical topics, beginning in a completely elementary way with an account*of*Cartesian axes in Euclidean 3-space and ending with an introduction to linear operators ...##
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Page 302 of School Science and Mathematics Vol. 42, Issue 365
[page]

1942
*
School Science and Mathematics
*

302 SCHOOL SCIENCE AND MATHEMATICS
The Algebra

*of**Matrices*; Linear Groups; Algebra*of*Classes;*Transfinite*Arithmetic; Rings and Ideals; Galois Theory. ... Pages xvi+335, tables to accompany, paper, 28 pages, in pocket on back*cover*. 14X21 cm. Prentice-Hall, Inc., New York, N. Y. Price $3.50. The material*covered*is not usually found in a single volume. ...##
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Page 129 of Technical Book Review Index Vol. 40, Issue 4
[page]

1974
*
Technical Book Review Index
*

probability and statistics, vectors and

*matrices*, mathematical induction, cardinal numbers — finite and*transfinite*, and Euclidean and non-Euclidean geometry.” ... “The book systematically*covers*a wide range, APRIL, 1974 Pure Sciences apart from the intentional omission*of*tele- scopes and astronomical instrumentation. ...##
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Page 4202 of Mathematical Reviews Vol. , Issue 88h
[page]

1988
*
Mathematical Reviews
*

Proofs are based on the method

*of**transfinite*induction. ... I. (2-MOSC) On the transversality*of*preimages*of*mappings and the representation*of*sets*of*degenerate*matrices*as images. (Russian) Uspekhi Mat. Nauk 42 (1987), no. 2(254), 217-218. ...##
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Nonlinear transient heat transfer and thermoelastic analysis of thick-walled FGM cylinder with temperature-dependent material properties using Hermitian transfinite element

2009
*
Journal of Mechanical Science and Technology
*

Another novelty

doi:10.1007/s12206-009-0716-6
fatcat:2iqoj3mflrco5gvpf7gp57pdj4
*of*the present paper is simultaneous use*of*the*transfinite*element method and updating technique. ... Nonlinear transient heat transfer and thermoelastic stress analyses*of*a thick-walled FGM cylinder with temperaturedependent materials are performed by using the Hermitian*transfinite*element method. ... Tanigawa [2] presented an extensive review that*covered*a wide range*of*topics from thermoelastic to thermo-inelastic problems. ...
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