Results 151 to 160 of about 3,208,584 (371)

Fermat's Last Theorem: Algebra, Geometry, and Number Theory [PDF]

open access: yesarXiv, 2016
In our work we give the examples using Fermat's Last Theorem for solving some problems from algebra, geometry and number ...
arxiv  

Experimental studies on multi‐scale data‐driven methods within the framework of structural health monitoring

open access: yesCivil Engineering Design, EarlyView.
Abstract The German Research Foundation has established the priority program SPP 100+. Its subject is monitoring bridge structures in civil engineering. The data‐driven methods cluster deals with the use of measurements and their special global and local analysis methods, which complement each other in an overall multi‐scale concept in order to realize
Maximilian Rohrer   +13 more
wiley   +1 more source

Cohomology of moduli spaces of Del Pezzo surfaces

open access: yesMathematische Nachrichten, Volume 296, Issue 1, Page 80-101, January 2023., 2023
Abstract We compute the rational Betti cohomology groups of the coarse moduli spaces of geometrically marked Del Pezzo surfaces of degree 3 and 4 as representations of the Weyl groups of the corresponding root systems. The proof uses a blend of methods from point counting over finite fields and techniques from arrangement complements.
Olof Bergvall, Frank Gounelas
wiley   +1 more source

Linear Algebraic Number Theory, Part I: Foundations [PDF]

open access: yesarXiv, 2017
We introduce a new framework called linear algebraic number theory (LANT) that reformulates the number-theoretic problem as a regression model and solves it using matrix algebra. This framework restricts all computations to log space, therefore replaces multiplication with addition and allows to capture variation in the natural numbers from variation ...
arxiv  

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

open access: yesThe 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   +2 more
wiley   +1 more source

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