Results 61 to 70 of about 6,757 (143)
, 2002 For the free models of statistical mechanics on torus, exact asymptotic expansions of the free energy, the internal energy and the specific heat in the vicinity of the critical point are found.
Abramowitz M +19 more
core +1 more source
Widespread and Diverging Patterns of Change in Local Phylogenetic Diversity
Diversity and Distributions, Volume 31, Issue 2, February 2025.ABSTRACT Aim Ecosystems are witnessing drastic changes in biodiversity worldwide. However, it is still unclear whether changes in phylogenetic diversity—a measure of the evolutionary relationships among species—reflect observed changes in species richness.
Philippe Fernandez‐Fournier +3 more
wiley +1 more source
Smoothing of the Higher‐Order Stokes Phenomenon
Studies in Applied Mathematics, Volume 154, Issue 2, February 2025.ABSTRACT For over a century, the Stokes phenomenon had been perceived as a discontinuous change in the asymptotic representation of a function. In 1989, Berry demonstrated it is possible to smooth this discontinuity in broad classes of problems with the prefactor for the exponentially small contribution switching on/off taking a universal error ...
Chris J. Howls +3 more
wiley +1 more source
, 2011 The exact solution for the shape and gravitational field of a rotating two-layer Maclaurin ellipsoid of revolution is compared with predictions of the theory of figures up to third order in the small rotational parameter of the theory of figures.
Anderson, John D. +4 more
core +1 more source
Analytic solution for tachyon condensation in open string field theory
, 2005 We propose a new basis in Witten's open string field theory, in which the star product simplifies considerably. For a convenient choice of gauge the classical string field equation of motion yields straightforwardly an exact analytic solution that ...
Martin Schnabl, Star Algebra
core +2 more sources
Numerical Evaluation Of the Oscillatory Integral over exp(i*pi*x)*x^(1/x) between 1 and infinity [PDF]
, 2010 Real and imaginary part of the limit 2N->infinity of the integral int_{x=1..2N} exp(i*pi*x)*x^(1/x) dx are evaluated to 20 digits with brute force methods after multiple partial integration, or combining a standard Simpson integration over the first ...
Mathar, Richard J.
core
A dimensionally continued Poisson summation formula
, 2011 We generalize the standard Poisson summation formula for lattices so that it operates on the level of theta series, allowing us to introduce noninteger dimension parameters (using the dimensionally continued Fourier transform).
A. Córdoba +39 more
core +1 more source
The Casimir effect for the Bose-Gas in Slabs
, 2005 We study the Casimir effect for the perfect Bose-gase in the slab geometry for various boundary conditions. We show that the grand canonical potential per unit area at the bulk critical chemical potential $\mu=0$ has the standard asymptotic form with ...
Abramowitz M. +9 more
core +2 more sources
Modified dispersion relations and a potential explanation of the EDGES anomaly. [PDF]
Eur Phys J C Part Fields, 2022 Das S +4 more
europepmc +1 more source
Prediction-based analysis on power consumption gap under long-term emergency: A case in China under COVID-19. [PDF]
Appl Energy, 2021 Huang L, Liao Q, Qiu R, Liang Y, Long Y.
europepmc +1 more source