DER STURM SANATÇILARININ GÖZÜNDEN HERWARTH WALDEN/Der Sturm Sanatçılarının Gözünden Herwarth Walden
نویسندگان
چکیده
منابع مشابه
Sturm-liouville Problems
Regular and singular Sturm-Liouville problems (SLP) are studied including the continuous and differentiable dependence of eigenvalues on the problem. Also initial value problems (IVP) are considered for the SL equation and for general first order systems.
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We have formalized the Sturm-Tarski theorem (also referred as the Tarski theorem): ∑ x∈(a,b),P (x)=0 sign(Q(x)) = Var(SRemS(P, P ′Q; a, b)) where a < b are elements of R ∪ {−∞,∞} that are not roots of P , with P,Q ∈ R[x]. Note, the usual Sturm theorem is an instance of the Sturm-Tarski theorem with Q = 1. The proof is based on [1] and Cyril Cohen’s work in Coq [2]. With the Sturm-Tarki theorem,...
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We study the relationship between the eigenvalues of separated self-adjoint boundary conditions and coupled self-adjoint conditions. Given an arbitrary real coupled boundary condition determined by a coupling matrix K we construct a one parameter family of separated conditions and show that all the eigenvalues for K and −K are extrema of the eigencurves of this family. This characterization mak...
متن کاملThe Sturm-Tarski Theorem
We have formalised the Sturm-Tarski theorem (also referred as the Tarski theorem): Given polynomials p, q ∈ R[x], the Sturm-Tarski theorem computes the sum of the signs of q over the roots of p by calculating some remainder sequences. Note, the better-known Sturm theorem is an instance of the Sturm-Tarski theorem when q = 1. The proof follows the classic book by Basu et al. [1] and Cyril Cohen’...
متن کاملAn Indefinite Sturm Theory
We will use the variational approach to (0.1) as described in [2] and we will stick to the notations of that paper. Given the complex n-dimensional Hermitian space (C, 〈·, ·〉), for any m ∈ N let H m := H(J,C) be the Sobolev space of all H-maps from J := [0, 1] into C. A derivative dependent Hermitian form is the form Ω(x)[u] = Pm i,j=0〈D u(x), ωi,j(x)D u(x)〉, where, each ωi,j is a smooth path o...
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ژورنال
عنوان ژورنال: International Journal of Interdisciplinary and Intercultural Art
سال: 2019
ISSN: 2548-0634
DOI: 10.29228/ijiia.83