Results 21 to 30 of about 33,245 (97)

Structured matrices, continued fractions, and root localization of polynomials

, 2011
We give a detailed account of various connections between several classes of objects: Hankel, Hurwitz, Toeplitz, Vandermonde and other structured matrices, Stietjes and Jacobi-type continued fractions, Cauchy indices, moment problems, total positivity ...
Arms R. J., Bakan A., Barnett S., Edrei A., Grommer J., Gurvits L., Hurwitz A., Jones W. B., Kronecker L., Mikhail Tyaglov, Olga Holtz, Pivovarchik V., Sokal A. D., Čebotarev N. G.   +13 more
core   +1 more source

Matrix methods for Pad\'e approximation: numerical calculation of poles, zeros and residues

, 2018
A representation of the Pad\'e approximation of the $Z$-transform of a signal as a resolvent of a tridiagonal matrix $J$ is given. Several formulas for the poles, zeros and residues of the Pad\'e approximation in terms of the matrix $J$ are proposed ...
Perotti, Luca, Wojtylak, Michal
core   +1 more source

High-energy scattering and Euclidean-Minkowskian duality

, 2007
We shall discuss how some relevant analyticity and crossing-symmetry properties of the "eikonal scattering amplitudes" of two Wilson loops in QCD, when going from Euclidean to Minkowskian theory, can be related to the still unsolved problem of the ...
Meggiolaro, E.
core  

The two-level atom laser: analytical results and the laser transition

, 2011
The problem of the two-level atom laser is studied analytically. The steady-state solution is expressed as a continued fraction, and allows for accurate approximation by rational functions.
D. F. Walls, E. Kamke, H. E. Stanley, H. J. Carmichael, L. Lorentzen, M. Abramowitz, M. Orszag, Paul Gartner   +7 more
core   +1 more source

Noncommutative Geometry and Arithmetic [PDF]

, 2010
This is an overview of recent results aimed at developing a geometry of noncommutative tori with real multiplication, with the purpose of providing a parallel, for real quadratic fields, of the classical theory of elliptic curves with complex ...
Marcolli, Matilde
core   +1 more source

Report on some recent advances in Diophantine approximation [PDF]

, 2009
A basic question of Diophantine approximation, which is the first issue we discuss, is to investigate the rational approximations to a single real number. Next, we consider the algebraic or polynomial approximations to a single complex number, as well as
Waldschmidt, Michel
core   +3 more sources

Dynamics of continued fractions and distribution of modular symbols

, 2019
We formulate a thermodynamical approach to the study of distribution of modular symbols, motivated by the work of Baladi-Vall\'ee. We introduce the modular partitions of continued fractions and observe that the statistics for modular symbols follow from ...
Lee, Jungwon, Sun, Hae-Sang
core  

Loss of the ESX-5 secretion locus in <i>Mycobacterium tuberculosis</i> reshapes the mycomembrane and enhances ESX-1 substrate secretion. [PDF]

Proc Natl Acad Sci U S A
Koleske B, Rajagopalan S, Schill C, Lun S, Vilchèze C, Das L, Gupta M, Martinez-Martinez YB, Bishai WR, Jacobs WR.   +9 more
europepmc   +1 more source

Artificial Intelligence Empowered New Materials: Discovery, Synthesis, Prediction to Validation. [PDF]

Nanomicro Lett
Cao Y, Fu H, Lu J, Chen Y, Jing T, Fan X, Xu B.   +6 more
europepmc   +1 more source

Hyperspectral Imaging Techniques for Lyophilization: Advances in Data-Driven Modeling Strategies and Applications. [PDF]

Adv Sci (Weinh)
Yu H, Srisuma P, Devos C, Wang J, Myerson AS, Braatz RD.   +5 more
europepmc   +1 more source