Results 81 to 90 of about 983 (285)
A Note on Lerch's Formulae for Euler Quotients
Integers, 2015 See the abstract in the attached pdf.
openaire +3 more sources
Contributions to Plasma Physics, EarlyView.ABSTRACT The properties of plasmas in the low‐density limit are described by virial expansions. Analytical expressions are known for the lowest virial coefficients from Green's function approaches. Recently, accurate path‐integral Monte Carlo (PIMC) simulations were performed for the hydrogen plasma at low densities by Filinov and Bonitz (Phys. Rev.
Gerd Röpke +3 more
wiley +1 more source
, 2021 One attractive interpretation of quantum mechanics is the ensemble interpretation, where Quantum Mechanics merely describes a statistical ensemble of objects and not individual objects. But this interpretation does not address why the wave-function plays
Pedro, Leonardo
core +1 more source
Engineering, MAthematics and Computer Science (EMACS) Journal, 2022 This paper discusses the derivation of Euler's formula. To obtain this model, the writer derives Euler's formula from ex+iy by first finding the norm and argument of ex+iy. In this derivation we substitute the norm and argument of ex+iy on complex numbers in polar coordinates, until we get the derivation of Euler's formula.
openaire +2 more sources
Seismic analysis and design of tunnels within fault ground: A review
Deep Underground Science and Engineering, EarlyView.The research methods of seismic response of tunnels within fault ground, including field investigations, analytical solutions, physical experiments, and numerical simulations, and seismic countermeasures are discussed. The present study examines the shortcomings and limitations of the current research and design, and puts forward proposals for future ...
Xingda Wang +6 more
wiley +1 more source
On Some Multipliers Related to Discrete Fractional Integrals
MathematicsThis paper explores the properties of multipliers associated with discrete analogues of fractional integrals, revealing intriguing connections with Dirichlet characters, Euler’s identity, and Dedekind zeta functions of quadratic imaginary fields ...
Jinhua Cheng
doaj +1 more source
Deep Underground Science and Engineering, EarlyView.For the roof of coral reef limestone caverns, a novel tension‐shear composite failure mechanism was developed. The most critical tensile crack model was identified using a hybrid optimization algorithm, and the stability of the cavern roof was analyzed accordingly.
Dongsheng Xu, Chenxu Li, Chuantan Hou
wiley +1 more source
Relating the wave-function collapse with Euler's formula
, 2017 One attractive interpretation of quantum mechanics is the ensemble interpretation, where Quantum Mechanics merely describes a statistical ensemble of systems rather than individual systems.
Pedro, Leonardo
core +1 more source
Investigation on tunnel stability considering pipe‐roof support with transparent soil technology
Deep Underground Science and Engineering, EarlyView.This study integrates transparent soil technology, 3D reconstruction and numerical simulation to captures the full‐field deformation of shield tunnel instability. Results demonstrate that pipe‐roof support enhances stability via the “soil‐arching barrier effect,” effectively restraining failure wedge development by extending stress transfer paths ...
Zhi Jia +4 more
wiley +1 more source
Integral representations of Euler's type for certain generalized Horn functions
, 1982 Several integral representations of Euler's type for the generalized Horn functions (k)H3(n) and (k)H4(n) are given; and quadratic transformations expressing these as FD(n) and FA(n), respectively, are derived. Moreover, a reduction formula expressing (k)
Karlsson, Per W.
core +1 more source