Results 41 to 50 of about 1,791 (235)
On Involutive Weak Exchange Algebras
In this paper, involutive weak exchange algebras (for short, involutive WE algebras) are introduced and studied. Their properties and characterizations are investigated. Some important results and examples are given.
Andrzej Walendziak
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Abstract Electrification of distillation offers a promising route to reducing scope‐1 emissions from one of the chemical industry's most energy‐intensive unit operations. However, conventional adiabatic columns are dynamically inflexible: Long, energy‐intensive start‐ups make shutdown and restart impractical under variable electricity prices and ...
Samuel Mercer, Michael Baldea
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ABSTRACT Hybrid modeling combines first‐principles equations with a data‐driven subcomponent. Training for the data‐driven part is sensitive to measurement noise when training targets are constructed using pointwise time derivatives. Beyond differentiation errors, hybrid models involve solving an inverse problem to estimate the data‐driven term, which ...
Hangjun Cho +4 more
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A family of maximal subalgebras of the Lie algebra $W_n(K)$
Let $K$ be an algebraically closed field of characteristic zero and ${P_n=K[x_1,\ldots,x_n]}$ be the polynomial ring. Any $K$-derivation $D$ on $P_n$ is of the form ${D=\sum_{i=1}^n f_i(x_1,\ldots,x_n)\frac{\partial}{\partial x_i}}$, where $f_i\in P_n ...
Y.Y. Chapovskyi +2 more
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For a particle that is constrained on an ($$N-1$$ N-1 )-dimensional ($$N\ge 2$$ N≥2 ) curved surface $$\Sigma ^{N-1}$$ ΣN-1 , the Cartesian components of its momentum in N-dimensional flat space are believed to offer a proper form of momentum for the ...
Q. H. Liu +4 more
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A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
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This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
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Abstract This paper derives a firm‐level threshold, the Herfindahl Neutral Point, from the standard concentration index used in merger review. At this threshold, a marginal expansion leaves the index unchanged. Firms below the threshold reduce concentration when they expand; firms above it increase concentration.
Andrew J. Keller, Krishna P. Paudel
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Abstract The linear‐quadratic regulator (LQR) problem of optimal control of an uncertain discrete‐time linear system (DTLS) is revisited in this paper from the perspective of Tikhonov regularization. We show that an optimally chosen regularization parameter reduces, compared to the classical LQR, the values of a scalar error function, as well as the ...
Fernando Pazos, Amit Bhaya
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Two-dimensional geometrically non-linear beam element is considered in this paper. The explicit expressions of stiffness characteristics of element with three nodes are derived and tested.
Audrius Mikoliūnas +1 more
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