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HARDMath: A Benchmark Dataset for Challenging Problems in Applied Mathematics
International Conference on Learning RepresentationsAdvanced applied mathematics problems are underrepresented in existing Large Language Model (LLM) benchmark datasets. To address this, we introduce HARDMath, a dataset inspired by a graduate course on asymptotic methods, featuring challenging applied ...
Jingxuan Fan +8 more
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Partial Differential Equations in Applied Mathematics
Social Science Research NetworkThis article focuses on the recent epidemic caused by COVID-19 and takes into account several measures that have been taken by governments, including complete closure, media coverage, and attention to public hygiene.
Muhammad Afdal Bau +4 more
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Journal of Chemical Education, 2018
To succeed in physical chemistry courses, students need competence with a significant amount of mathematics, including ordinary and partial differential equations and linear operators.
R. Neville +3 more
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To succeed in physical chemistry courses, students need competence with a significant amount of mathematics, including ordinary and partial differential equations and linear operators.
R. Neville +3 more
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Physics Today, 1948
Electromagnetic theory was under discussion at the Second Symposium on Applied Mathematics of the American Mathematical Society held at MIT on July 29–31. Papers were presented on the status of the new covariant formulation of quantum electrodynamics, reformulations of electromagnetic field theory along classical lines, the solutions of several types ...
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Electromagnetic theory was under discussion at the Second Symposium on Applied Mathematics of the American Mathematical Society held at MIT on July 29–31. Papers were presented on the status of the new covariant formulation of quantum electrodynamics, reformulations of electromagnetic field theory along classical lines, the solutions of several types ...
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, 2018
In this work we present an integrated computational pipeline involving several model order reduction techniques for industrial and applied mathematics, as emerging technology for product and/or process design procedures.
M. Tezzele, N. Demo, A. Mola, G. Rozza
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In this work we present an integrated computational pipeline involving several model order reduction techniques for industrial and applied mathematics, as emerging technology for product and/or process design procedures.
M. Tezzele, N. Demo, A. Mola, G. Rozza
semanticscholar +1 more source
Applied Mathematics Is Bad Mathematics
1981It isn’t really (applied mathematics, that is, isn’t really bad mathematics), but it’s different.
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Applied Mathematics without Numbers
Philosophia Mathematica, 2022AbstractIn this paper, I develop a “safety result” for applied mathematics. I show that whenever a theory in natural science entails some non-mathematical conclusion via an application of mathematics, there is a counterpart theory that carries no commitment to mathematical objects, entails the same conclusion, and the claims of which are true if the ...
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2016
Το περιεχόμενο του βιβλίου αυτού αποτελεί μία ενοποιημένη παρουσίαση των εννοιών, των μεθόδων και των αποτελεσμάτων των Συνήθων Διαφορικών Εξισώσεων, των Μιγαδικών Συναρτήσεων, και των Μετασχηματισμών Fourier, όπου διαμορφώνονται τα γενικά πλαίσια εντός των οποίων διατυπώνονται, ερμηνεύονται και αναλύονται διάφορες σχετικές σημαντικές εφαρμογές στις ...
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Το περιεχόμενο του βιβλίου αυτού αποτελεί μία ενοποιημένη παρουσίαση των εννοιών, των μεθόδων και των αποτελεσμάτων των Συνήθων Διαφορικών Εξισώσεων, των Μιγαδικών Συναρτήσεων, και των Μετασχηματισμών Fourier, όπου διαμορφώνονται τα γενικά πλαίσια εντός των οποίων διατυπώνονται, ερμηνεύονται και αναλύονται διάφορες σχετικές σημαντικές εφαρμογές στις ...
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2018
What has been called ‘the unreasonable effectiveness of mathematics’ sets a challenge for philosophers. Some have responded to that challenge by arguing that mathematics is essentially anthropocentric in character whereas others have pointed to the range of structures that mathematics offers.
Otávio Bueno, Steven French
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What has been called ‘the unreasonable effectiveness of mathematics’ sets a challenge for philosophers. Some have responded to that challenge by arguing that mathematics is essentially anthropocentric in character whereas others have pointed to the range of structures that mathematics offers.
Otávio Bueno, Steven French
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Modern Cryptography: Applied Mathematics for Encryption and Information Security
, 2021William Easttom
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