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Geometrical methods of nonlinear analysis
They should lead to deeper insight into the problem of homotopy classification for vector fields on infinite dimensional spaces. On the other hand, it is not advisable to completely abandon the idea of homotopy classification for vector ...
by Mark Aleksandrovich Krasnoselʹskiĭ, Petr Petrovich Zabreĭko
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Bulletin of the Belgian Mathematical Society, Simon Stevin
We refer the reader to [15, 17, 18, 19] for our standard notation about locally convex spaces. ... We refer the reader for more information, especially for the representation of spaces of vector-valued functions as spaces of linear ...
by Société mathématique de Belgique
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IEEE transactions on electronic computers
For a linear Mealy machine, the relation between the input vectors and the state vectors in Mro is not easily found, ... the sub- spaces Afro of S, Wro of W, and We0 of W are isomorphic, respectively, to the modulo spaces 1/ K/2, ...
by Institute of Electrical and Electronics Engineers. Computer Group, Institute of Electrical and Electronics Engineers. Professional Technical Group on Electronic Computers
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Reviews in numerical analysis, 1980-86, as printed in Mathematical reviews
The method uses tensor products of discontinuous piecewise polynomial spaces and collocation based on Jacobi points ... and an open nonempty set MCQ; the magnetic vector potential u(i\,x2,t) satisfies a nonlinear parabolic equation and ...
by American Mathematical Society
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Rivista del Nuovo cimento della Società italiana di fisica
Comparing (2.60) with (2.70) and (2.30) with (2.43), we see that the vectors Q and q are equal to the corresponding vectors in both ... Finally, comparing the volume elements in the two-particle spaces Hint given by (2.40) and (2.46), ...
by Società italiana di fisica
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Metrics, connections and gluing theorems
... D(X) has a Frechet space topology whose model comes from a space of smooth sections of an appropriate vector ... With Q and Q0 understood, introduce the moduli spaces MCQ and M0 C Q0 as the spaces of orbits of metrics with W1, = 0.
by Clifford Taubes
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Topics in computational wave propagation, direct and inverse problems
... a variational definition: for C e -H"~^(divr.r)andallqe H>,(divr,F), MC e Hx (divr,F) is to satisfy (MCq^r + ... choose finite-dimensional local spaces W(A') C (CX(K))2 of polynomial vector fields together with a dual basis of ...
by M. Ainsworth
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Rating: 5.00
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Monomial Ideals
Since v A v = 0, left multiplication by v on M yields a finite complex of finitely generated K- vector spaces (M,v): ••• — „ Mi_i Mi Mi+i — > ■■■ We denote the ith cohomology of this complex by Hl (M, v) . Notice that H(M,v) = ® iHl(M ...
by Jürgen Herzog, Takayuki Hibi
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Rating: 4.00
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Perturbation theory for linear operators
The supplementary notes appearing in the second edition of the book gave mainly additional information concerning scattering theory described in chapter 10.The first edition is now 30 years old.
by Tosio Katō
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Surveys of some recent results in operator theory
... Te G G. So there is a vector g( and an operator X( GI such that \\X((g( ® /) - Te® /|| = \\Xe9e - Te||2||/||2 < e. ... By Zorn's lemma there exists a maximal family MCQ whose associated spaces are disjoint: C(H)q 0 £(«)» = {0} for ...
by John B. Conway, Bernard B. Morrel
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