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Accelerated Free Energy Estimation in <i>Ab Initio</i> Path Integral Monte Carlo Simulations. [PDF]
J Phys Chem LettSvensson P +6 more
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OMNI-P2x universal neural network potential for excited-state simulations. [PDF]
Nat CommunMartyka M +3 more
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Average number of connected components and free resolutions of Stanley-Reisner rings (Algorithms in Algebraic Systems and Computation Theory)openaire
Upper and Lower Bounds on the Number of Disjunctive Forms (Clone Theory and Discrete Mathematics・Algebra and Logic Related to Computer Science)openaire
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Computers and computations in algebraic number theory
Proceedings of the second ACM symposium on Symbolic and algebraic manipulation - SYMSAC '71, 1971In the present survey an outline is given of certain recent as well as earlier developments in the use of electronic high-speed computers in algebraic number theory.
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Computer Algebra and Polynomials
2015Algebra and number theory have always been counted among the most beautiful mathematical areas with deep proofs and elegant results. However, for a long time they were not considered that important in view of the lack of real-life applications. This has dramatically changed: nowadays we find applications of algebra and number theory frequently in our ...
Gutierrez, Jaime +2 more
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Comments from number theory on computer algebra
ACM SIGSAM Bulletin, 1984It is too difficult for me to write on the future of anything. Let me concentrate on (A) algebraic number theory and the role numerical calculations can have in this subject, (B) what kind of systems or languages I would like to use (or not).
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Some computational aspects of, and the use of computers in, algebraic number theory
Computing, 1971We discuss here some basic problems of algebraic number theory under a computational point of view. In particular, an explanation is given of how the application of a computer has contributed to the progress of research in this area. Several number-theoretic questions are expounded for which the use of a computer seems to be appropriate but has ...
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Learning number theory with a computer algebra system
International Journal of Mathematical Education in Science and Technology, 1996The paper discusses how a computer algebra system MAPLE can be used to enhance the learning of concepts, theorems and algorithms in an elementary classical number theory course. There are 20 built‐in routines selected from the MAPLE number theory package which students can easily use to consolidate their learning.
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Computer Algebra in the Service of Mathematical Physics and Number Theory
2020Methods of computer algebra become more familiar to a wide audience of theoretical mathematicians and physicists. The environment of computer algebra system leads to a greater acceptance of computer instruments in the mathematical research. Methods of symbolic manipulation provided by computer algebra systems in combination with high-power number ...
David V. Chudnovsky +1 more
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