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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Boundary expansion in the Loewner-Nirenberg problem
Loewner-Nirenberg problem 边界展开 利玛窦曲率
2023/4/28
We first review some classical results of the Loewner-Nirenberg problem. Then we discuss the characteristics of boundary expansion and its applications in studying the negativity of Ricci curvatures o...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A Sparse Expansion of (Deep) Gaussian Processes
深层 高斯过程 稀疏展开
2023/4/18
Conventional inferential methods for (deep) Gaussian Processes models can suffer from high computational complexity as they require large-scale operations with kernel matrices for training and inferen...
Scientists project northward expansion of Valley fever by end of 21st century（图）
Scientists northward expansion Valley fever 21st century
2019/10/18
Valley fever is endemic to hot, dry regions such as California's San Joaquin Valley in the southwestern United States, but scientists at the University of California, Irvine predict that climate chang...
New method may resolve difficulty in measuring universe's expansion（图）
New method difficulty measuring universe
2019/10/23
Astronomers using National Science Foundation radio telescopes have demonstrated how a combination of gravitational-wave and radio observations, along with theoretical modeling, can turn the mergers o...
Emerging understanding and measurement of plasma volume expansion in pregnancy
inflammation iron obesity obstetric outcomes plasma volume pregnancy
2018/11/21
Plasma volume expansion is an important component of a successful pregnancy. The failure of maternal plasma volume expansion has been implicated in adverse obstetric outcomes such as pre-eclampsia, fe...
Closed-form expansion, conditional expectation, and option valuation
asymptotic expansion diffusion option pricing conditional expectation iterated stochastic integral
2016/1/25
Enlightened by the theory of Watanabe [Watanabe S (1987) Analysis of Wiener functionals (Malliavin calculus) and its applications to heat kernels. Ann. Probab. 15:1–39] for analyzing generalized rando...
Fractional diffusion limit for collisional kinetic equations:a Hilbert expansion approach
Fractional diffusion limit collisional kinetic equations Hilbert expansion
2015/10/15
We develop a Hilbert expansion approach for the derivation of fractional diffusion equations from the linear Boltzmann equation with heavy tail equilibria.
A second order expansion of the separatrix map for trigonometric perturbations of a priori unstable systems
second order expansion separatrix map for trigonometric perturbations priori unstable systems
2015/9/25
In this paper we study a so-called separatrix map introduced by Zaslavskii-Filonenko [ZF68] and studied by Treschev and Piftankin [Tre98, Tre02,Pif06, PT07]. We derive a second order expansion of this...
POLE EXPANSION FOR SOLVING A TYPE OF PARAMETRIZED LINEAR SYSTEMS IN ELECTRONIC STRUCTURE CALCULATIONS
Pole expansion approximation theory parametrized linear systems electronic structure calculation
2015/7/14
We present a new method for solving parametrized linear systems. Under certain assumptions on the parametrization, solutions to the linear systems for all parameters can be accurately approximated by ...
Systematic 1/M expansion for spin 3/2 particles in baryon chiral perturbation theory
The theory of relativity pion - nucleon - delta system spin 3/2 resonance nuclear soft power the quality of meson
2014/12/22
Starting from a relativistic formulation of the pion-nucleon-delta system, the most general structure of 1/M corrections for a heavy baryon chiral lagrangian including spin 3/2 resonances is given. Th...
Expansion of a Quantum Gas Released from an Optical Lattice
Ultracold atoms optical lattice quantum gas the diffraction optics
2014/12/19
We analyze the interference pattern produced by ultracold atoms released from an optical lattice, commonly interpreted as the momentum distributions of the trapped quantum gas. We show that for finite...
Partial Derivative Fitted Taylor Expansion: an efficient method for calculating gas/liquid equilibria in atmospheric aerosol particles – Part 2: Organic compounds
Partial Derivative Fitted Taylor Expansion calculating gas
2014/12/11
A flexible mixing rule is presented which allows the calculation of activity coefficients of organic compounds in a multi-component aqueous solution.
Runx1 Regulates c-Myc Expression And The Expansion Of Hematopoietic Precursors In A C-terminally Dependent Manner
Biological sciences Health and environmental sciences C-myc Hematopoiesis Runx1 Tat peptides
2014/12/10
Runx1 regulates the expression of several important target genes and plays critical roles in the process of hematopoiesis. Runx1 by itself is a poor regulator of transcription and instead nucleates tr...
Salt Lake City’s Urban Growth and Kennecot Utah Copper: A Geographical Analysis of Urban Expansion onto a Previously Proposed Superfund Site Adjacent to the World’s Largest Copper Mine
Salt Lake City’s Urban Growth Kennecott Utah Copper Urban Expansion Adjacent to the World’s Largest Copper Mine
2014/10/20
Kennecott copper mine is one of the largest producers of pollution in the United States: it has contaminated over 72 square miles in the Salt Lake Valley. In 1998 alone, Kennecott, which is located on...
Effects of Trichostatin A on Cumulus Expansion during Mouse Oocyte Maturation
Mouse Cumulus-oocyte Complex Cumulus Expansion TSA
2016/5/12
This study was conducted to investigate the effects of Trichostatin A (TSA) on cumulus expansion during mouse oocyte maturation. TSA treatment inhibited cumulus expansion and significantly reduced the...