Results 41 to 50 of about 198,020 (274)

The reverse Holder inequality for an elementary function

Математичні Студії, 2021
For a positive function $f$ on the interval $[0,1]$, the power mean of order $p\in\mathbb R$ is defined by \smallskip\centerline{$\displaystyle \|\, f\,\|_p=\left(\int_0^1 f^p(x)\,dx\right)^{1/p}\quad(p\ne0), \qquad \|\, f\,\|_0=\exp\left(\int_0^1\ln ...
A.O. Korenovskii
doaj   +1 more source

Computing Riemann theta functions [PDF]

Mathematics of Computation, 2003
The Riemann theta function is a complex-valued function of g complex variables. It appears in the construction of many (quasi-) periodic solutions of various equations of mathematical physics. In this paper, algorithms for its computation are given.
Deconinck, Bernard, Heil, Matthias, Bobenko, Alexander, van Hoeij, Mark, Schmies, Marcus   +4 more
openaire   +2 more sources

Integer Matrix Exact Covering Systems and Product Identities for Theta Functions [PDF]

, 2010
In this paper, we prove that there is a natural correspondence between product identities for theta functions and integer matrix exact covering systems.
Cao, Zhu
core  

Polarization‐resolved femtosecond Vis/IR spectroscopy tailored for resolving weak signals in biological samples using minimal sample volume

FEBS Open Bio, EarlyView.
Unique biological samples, such as site‐specific mutant proteins, are available only in limited quantities. Here, we present a polarization‐resolved transient infrared spectroscopy setup with referencing to improve signal‐to‐noise tailored towards tracing small signals. We provide an overview of characterizing the excitation conditions for polarization‐
Clark Zahn, Karsten Heyne
wiley   +1 more source

Modular relations for the Rogers-Ramanujan-Slater type functions of order fifteen and its applications to partitions [PDF]

Romanian Journal of Mathematics and Computer Science, 2013
In a manuscript of Ramanujan, published with his Lost Notebook [20] there are forty identities involving the Rogers-Ramanujan functions. In this paper, we establish several modular relations involving the Rogers-Ramanujan functions and the Rogers ...
Chandrashekar Adiga, A. Vanitha, Nasser Abdo Saeed Bulkhali   +2 more
doaj  

Some Modular Relations Analogues to the Ramanujan’s Forty Identities with Its Applications to Partitions

Axioms, 2013
Recently, the authors have established a large class of modular relations involving the Rogers-Ramanujan type functions J(q) and K(q) of order ten. In this paper, we establish further modular relations connecting these two functions with Rogers-Ramanujan
Nasser Abdo Saeed Bulkhali, Chandrashekar Adiga   +1 more
doaj   +1 more source

Hecke-type double sums, Appell-Lerch sums, and mock theta functions (I)

, 2012
By developing a connection between partial theta functions and Appell-Lerch sums, we find and prove a formula which expresses Hecke-type double sums in terms of Appell-Lerch sums and theta functions.
Andrews, Andrews, Andrews, Andrews, Andrews, Appell, Atkin, Berndt, Bringmann, Bringmann, Bruinier, Choi, Choi, Dean R. Hickerson, Eric T. Mortenson, Folsom, Gordon, Griffiths, Hecke, Hickerson, Hickerson, Kac, Kac, Kac, Lerch, McIntosh, Polishchuk, Ramanujan, Rogers, Schilling, Tannery, Watson, Zagier, Zwegers   +33 more
core   +1 more source

Evolutionarily divergent DUF4465 domains have a common vitamin B12‐binding function

FEBS Open Bio, EarlyView.
We show that DUF4465 family proteins, widespread across bacteria from gut microbiomes, hydrothermal vents, and soil, share a common vitamin B12‐binding function. These augmented β‐jellyroll proteins bind vitamin B12 via extended loops. Our findings establish sequence‐diverse DUF4465 proteins as a widespread class of B12‐binding proteins, highlighting ...
Charlea Clarke, Michal Banasik, Rokas Juodeikis, Martin J. Warren, Richard W. Pickersgill   +4 more
wiley   +1 more source

On the modularity of certain functions from the Gromov–Witten theory of elliptic orbifolds [PDF]

Royal Society Open Science, 2015
In this paper, we study modularity of several functions which naturally arose in a recent paper of Lau and Zhou on open Gromov–Witten potentials of elliptic orbifolds.
Kathrin Bringmann, Larry Rolen, Sander Zwegers   +2 more
doaj   +1 more source

Visual Recovery Reflects Cortical MeCP2 Sensitivity in Rett Syndrome

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Rett syndrome (RTT) is a devastating neurodevelopmental disorder with developmental regression affecting motor, sensory, and cognitive functions. Sensory disruptions contribute to the complex behavioral and cognitive difficulties and represent an important target for therapeutic interventions.
Alex Joseph Simon, Nathalie Picard, Valeria d'Andrea, Enchi Chang, Joseph Leffler, Eleonora Centofante, Matthew Taylor, Francesca Bardi, Francesca Cavicchiolo, Takao K. Hensch, Stefano Panzeri, Chinfei Chen, Michela Fagiolini   +12 more
wiley   +1 more source