Results 101 to 110 of about 96,341 (238)
Multiple Bernoulli series, an Euler-MacLaurin formula, and wall crossings [PDF]
Using multiple Bernoulli series, we give a formula in the spirit of Euler MacLaurin formula. We also give a wall crossing formula and a decomposition formula. The study of these series is motivated by formulae of E.Witten for volumes of moduli spaces of flat bundles over a surface.
arxiv
Philosophical Properites of Euler's Formula in its Application to Symbolic Representation of Some Aspects of Ruminant Agriculture [PDF]
Masataka Shimojo+10 more
openalex +1 more source
Relating the wave-function collapse with Euler's formula, with applications to Classical Statistical Field Theory [PDF]
K. Pedro
openalex +1 more source
Analysis of Cuttings Transport in Small‐Bore Horizontal Wells Considering Drill String Eccentricity
Annular debris volume fraction distribution cloud image at different annular return velocity. ABSTRACT The narrow annulus in small‐bore horizontal wells causes marked differences in cuttings transport compared to conventional horizontal wells. To address this issue, a CFD‐based numerical model for solid‐liquid two‐phase flow in the annulus was ...
An Jintao+7 more
wiley +1 more source
Lê-Greuel type formula for the Euler obstruction and applications [PDF]
The Euler obstruction of a function can be viewed as a generalization of the Milnor number for functions defined on singular spaces. In this work, using the Euler obstruction of a function, we give a version of the L\^e-Greuel formula for two germs of analytic functions with isolated singularity at the origin on a singular space. Using this formula and
arxiv
Multiplication Formulas for the Elliptic Gamma Function [PDF]
The elliptic gamma function is a generalization of the Euler gamma function. Its trigonometric and rational degenerations are the Jackson q-gamma function and the Euler gamma function. We prove multiplication formulas for the elliptic gamma function, whose degenerations are the Gauss-Askey multiplication formula for the Euler and trigonometric gamma ...
arxiv
In this article, we derive a non‐hydrostatic extension to the SWE to solve bottom‐generated waves along with its pressure relation. This relation is built on a linear vertical velocity assumption, leading us to a quadratic pressure profile, where we alternatively write it so that we can solve it by a projection method without ambiguity due to the ...
Kemal Firdaus, Jörn Behrens
wiley +1 more source
Abstract Ordinary differential equations can be used to describe simulation models. As such, solving these equations is an important task in the high performance computing (HPC) domain. Field programmable gate arrays (FPGAs) are a promising platform, expected to be usable as efficient accelerators for such computations.
Silas Bartel, Matthias Korch
wiley +1 more source
EulerNet: Adaptive Feature Interaction Learning via Euler's Formula for CTR Prediction [PDF]
Zhen Tian+4 more
openalex +3 more sources
The Weighted Euler-Maclaurin Formula for a simple integral polytope [PDF]
We give an Euler-Maclaurin formula with remainder for the weighted sum of the values of a smooth function on the integral points in a simple integral polytope. Our work generalizes the formula obtained by Karshon, Sternberg and Weitsman in the ''Euler-Maclaurin with remainder for a simple integral polytope''.
arxiv