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We use Young’s raising operators to give short and uniform proofs of several well known results about Schur polynomials and symmetric functions, starting from the Jacobi-Trudi identity.
We work in the context of ω-stable theories. We obtain a natural, algebraic equivalent of ENI-NDOP and discuss recent joint proofs with S. Shelah that if an ω-stable theory has either ENI-DOP or is ...
The Lost City Hydrothermal Field Revisited     City  chemistry       2015/7/22
Since the initial discovery of the Lost City Hydrothermal Field in 2000, there have been significant advances in our understanding of the development and evolution of the field, its chemistry, and the...
The vast subtropical regions of the ocean account for at least 30% of the carbon export to the deep ocean. It is predicted that these regions will get larger as a consequence of global warming. Tradit...
A Bahri-Lions Theorem and a Brezis-Nirenberg Problem Revisited.
The Scientific Revolution Revisited.
We reconsider the DMO sum rule in light of our recent two-loop calculations of isospin and hypercharge vector and axialvector current propagators in chiral perturbation theory. A modified derivation v...
One of the differences between volcanic craters and calderas is that the latter bottoms are flatways filled with caldera deposit with lower density in comparison to country rocks. The 1883 Krakatau er...
Mineralogical nomenclature in solid-solution series follows a system that has been called the 50% rule, more correctly the 100%/n rule or the dominant-constituent rule, in which the constituents are a...
The homological finiteness length of a group G is the maximal length (counting from 0) of a partial resolution by finitely generated projective modules of the trivial ZG-module Z. It is closely relate...
Let $(X, T)$ be a topological dynamical system. Denote by $h (T, K)$ and $h^B (T, K)$ the covering entropy and dimensional entropy of $K\subseteq X$, respectively. $(X, T)$ is called D-{\it lowerable}...
We present a diagrammatic derivation of the coherent backscattering spectrum from two two-level atoms using the pump-probe approach, wherein the multiple scattering signal is deduced from single-atom ...
The main goal of this article is to put some known results in a common perspective and to simplify their proofs. We start with a simple proof of a result of Vereshchagin saying that $\limsup_n C(x|n)$...
We reformulate a recently introduced interpolation-based unique decoding algorithm of algebraic geometry codes using the theory of Gr\"obner bases of modules on the coordinate ring of the base curve. ...
We investigate density perturbations sourced by a curvaton with a generic energy potential. The key feature of a curvaton potential which deviates from quadratic is that the curvaton experiences a non...

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