Results 11 to 20 of about 34,351 (281)
Let A A be an n n -by- n n Hermitian matrix. We note that the set of all monic, degree n − 1 n - 1 polynomials whose roots interlace the eigenvalues of A A is exactly the classical field of values of adj ...
openaire +2 more sources
Zeros of Quasi-Orthogonal Jacobi Polynomials [PDF]
We consider interlacing properties satisfied by the zeros of Jacobi polynomials in quasi-orthogonal sequences characterised by $\alpha>-1 ...
Driver, Kathy, Jordaan, Kerstin
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Aesthetics adoring leather ribbons and Arabesque art
:Islamic motifs were distinguished and had a great impact in highlighting the cultural appearance of the renaissance of Muslims, and they invented forms of securitization, which the Europeans called (Arabesque).The clothing industry has developed a great
Sozan El-Sayed Ahmed +1 more
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Nearest neighbor Markov dynamics on Macdonald processes [PDF]
Macdonald processes are certain probability measures on two-dimensional arrays of interlacing particles introduced by Borodin and Corwin (arXiv:1111.4408 [math.PR]).
Borodin, Alexei, Petrov, Leonid
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High-quality micropattern printing by interlacing-pattern holographic femtosecond pulses
To improve the efficiency of femtosecond laser direct writing, holographic femtosecond laser patterning using spatial light modulators has been widely used for the processing of micro/nanopatterns.
Wang Zhipeng +8 more
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On Salem numbers, expansive polynomials and Stieltjes continued fractions [PDF]
A converse method to the Construction of Salem (1945) of convergent families of Salem numbers is investigated in terms of an association between Salem polynomials and Hurwitz quotients via expansive polynomials of small Mahler measure.
Guichard, Christelle +1 more
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Some Observations on the Smallest Adjacency Eigenvalue of a Graph
In this paper, we discuss various connections between the smallest eigenvalue of the adjacency matrix of a graph and its structure. There are several techniques for obtaining upper bounds on the smallest eigenvalue, and some of them are based on Rayleigh
Cioabă Sebastian M. +2 more
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A converse of Sturm's separation theorem
We show that Sturm's classical separation theorem on the interlacing of the zeros of linearly independent solutions of real second order two-term ordinary differential equations necessarily fails in the presence of a turning point in the principal part ...
Leila Gholizadeh, Angelo Mingarelli
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Variational characterizations for eigenfunctions of analytic self-adjoint operator functions [PDF]
In this paper we consider Rellich's diagonalization theorem for analytic self-adjoint operator functions and investigate variational principles for their eigenfunctions and interlacing statements.
Georgios Katsouleas, John Maroulas
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Suitable graphic documentation is essential to ascertain and conserve architectural heritage. For the first time, accurate digital images are provided of a 16th-century wooden ceiling, composed of geometric interlacing patterns, in the Pinelo Palace in ...
Juan Francisco Reinoso-Gordo +2 more
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