Results 111 to 120 of about 635,864 (319)

Optimal control of axial dispersion tubular reactors with recycle: Addressing state‐delay through transport PDEs

The Canadian Journal of Chemical Engineering, EarlyView.
The boundary‐regulated distributed parameter system of an axial dispersion tubular reactor with delayed recycle is showcased, along with the optimal observer‐based control strategy developed using a late‐lumping method for its stabilization. Abstract The optimal control of an axial tubular reactor with a recycle stream is addressed as a key type of ...
Behrad Moadeli, Guilherme Ozorio Cassol, Stevan Dubljevic   +2 more
wiley   +1 more source

A note on $\mathbb{Z}$-gradings on the Grassmann algebra and Elementary Number Theory

, 2021
Alan Guimarães, Claudemir Fidelis, Plamen Koshlukov   +2 more
openalex   +2 more sources

X‐Ray Absorption Studies of Local Structure of Dilute Ionic Species in Molten Salts

Chemistry–Methods, EarlyView.
This article reviews the state of the art in the use of X‐ray absorption spectroscopy methods, both experimental and theoretical, for understanding the structure of dopant metal ions in molten salts. Recent strategies, including molecular dynamics simulations and neural network–assisted analysis of X‐ ray absorption spectroscopy as well as chemometrics
Kaifeng Zheng, Nirmalendu Patra, Nicholas Marcella, Alexander S. Ivanov, James F. Wishart, Alejandro R. Ballesteros, Ruchi Gakhar, Sheng Dai, Santanu Roy, Vyacheslav Bryantsev, Simerjeet K. Gill, Anatoly I. Frenkel   +11 more
wiley   +1 more source

Number theoretic subsets of the real line of full or null measure

Electronic Research Archive
During a first or second course in number theory, students soon encounter several sets of 'number theoretic interest'. These include basic sets such as the rational numbers, algebraic numbers, transcendental numbers, and Liouville numbers, as well as ...
Taboka Prince Chalebgwa, Sidney A. Morris   +1 more
doaj   +1 more source

Testing Protocols for Obtaining Reliable Pair Distribution Functions from Laboratory X‐Ray Sources Using PDFgetX3

Chemistry–Methods, EarlyView.
This work explores data acquisition and reduction protocols for atomic pair distribution scheme that enhances high‐angle data collection, and the effects of instrumental parameters on resulting pair distribution functions are examined. A correction for sample absorption in PDFgetX3 is introduced. Herein, data acquisition protocols are explored and data
Till Schertenleib, Daniel Schmuckler, Yucong Chen, Geng Bang Jin, Wendy L. Queen, Simon J. L. Billinge   +5 more
wiley   +1 more source

First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet

Communications on Pure and Applied Mathematics, EarlyView.
Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
wiley   +1 more source

The Elements of the Theory of Algebraic Numbers

, 1911
n ...
Western, A. E., Reid, L. W.
openaire   +1 more source

On classification of global dynamics for energy‐critical equivariant harmonic map heat flows and radial nonlinear heat equation

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We consider the global dynamics of finite energy solutions to energy‐critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that any finite energy equivariant solutions to (HMHF) decompose into finitely many harmonic maps (bubbles) separated by scales and a body map, as approaching to the ...
Kihyun Kim, Frank Merle
wiley   +1 more source

Boundary conditions and universal finite‐size scaling for the hierarchical |φ|4$|\varphi |^4$ model in dimensions 4 and higher

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We analyse and clarify the finite‐size scaling of the weakly‐coupled hierarchical n$n$‐component |φ|4$|\varphi |^4$ model for all integers n≥1$n \ge 1$ in all dimensions d≥4$d\ge 4$, for both free and periodic boundary conditions. For d>4$d>4$, we prove that for a volume of size Rd$R^{d}$ with periodic boundary conditions the infinite‐volume ...
Emmanuel Michta, Jiwoon Park, Gordon Slade   +2 more
wiley   +1 more source

Free energy expansions of a conditional GinUE and large deviations of the smallest eigenvalue of the LUE

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We consider a planar Coulomb gas ensemble of size N$N$ with the inverse temperature β=2$\beta =2$ and external potential Q(z)=|z|2−2clog|z−a|$Q(z)=|z|^2-2c \log |z-a|$, where c>0$c>0$ and a∈C$a \in \mathbb {C}$. Equivalently, this model can be realised as N$N$ eigenvalues of the complex Ginibre matrix of size (c+1)N×(c+1)N$(c+1) N \times (c+1)
Sung‐Soo Byun, Seong‐Mi Seo, Meng Yang   +2 more
wiley   +1 more source