Bounds for Dirichlet polynomials play an important role in several questions connected to the distribution of primes. For example, they can be used to bound the number of zeroes of the Riemann zeta function in vertical strips, which is relevant to the distribution of primes in short intervals. A Dirichlet polynomial is a trigonometric polynomial of the form$D(t) = \sum_{n = N}^{2N} b_n n^{it}$
Sine, one of the fundamental trigonometric functions, plays a crucial role in various fields, including mathematics, physics, engineering, and computer science. Its calculation is not trivial, especially when it comes to implementing it in electronic calculators, where efficiency and accuracy are paramount.
An international autumn school "Proof and Computation" will be held from 15th to 21st September 2024 at Aurachhof in Fischbachau near Munich. Its aim is to bring together young researchers in the fields of Foundations of Mathematics, Computer Science and Philosophy.
As a schoolchild, she had delighted in using a pendulum to make drawings in her exercise books, but it was not until midlife that she found in this process a portal to a larger world of ideas. In 1938, using a silver pendulum with a jade end she believed was guided by energy fields — a technique she termed radiesthesia — she began making large-scale drawings in pencil and crayon on graph paper, hundreds of them, to divine diagnoses of physical and psychic ailments and heal people, often with results bordering on the miraculous.
arXiv is a free distribution service and an open-access archive for 2,303,915 scholarly articles in the fields of physics, mathematics, computer science, quantitative biology, quantitative finance, statistics, electrical engineering and systems science, and economics. Materials on this site are not peer-reviewed by arXiv.
arXiv is a free distribution service and an open-access archive for 2,303,325 scholarly articles in the fields of physics, mathematics, computer science, quantitative biology, quantitative finance, statistics, electrical engineering and systems science, and economics. Materials on this site are not peer-reviewed by arXiv.
arXiv is a free distribution service and an open-access archive for 2,299,453 scholarly articles in the fields of physics, mathematics, computer science, quantitative biology, quantitative finance, statistics, electrical engineering and systems science, and economics.
open-access archive for 2,273,366 scholarly articles in the fields of physics, mathematics, computer science, quantitative biology, quantitative finance, statistics, electrical engineering and systems science, and economics.
O. Skovsmose. Roskilde: Centre for Research in Learning Mathematics, National University of Education, Roskilde University Centre, Aalborg University, (2000)
A. Fauzan, D. Slettenhaar, and T. Plomp. Proceedings of the 3 rdInternational Mathematics Education and Society Conference. Copenhagen, Denmark: Center for Research in Learning Mathematics, (2002)
M. Hannula, J. Evans, G. Philippou, and R. Zan. Proceedings of the 28th Conference of the International Group for the Psychology of Mathematics Education, (2004)
L. Wittgenstein. University Of Chicago Press, Chicago, (October 1989)characterizes mathematical propositions: - Do not have a temporal sense (pp. 34). - Are rules of expression. "the connection between a mathematical proposition and its application is roughly that between a rule of expression and the expression itself in use" (pp. 47). A rule of expression defines what is meaningful and what not, how a particular form should be used, etc. - Is invented to suit experience and then made independent of experience (pp. 43). "In mathematics we have propositions which contain the same symbols as, for example, "write down the integral of..", etc., with the difference that when we have a mathemaitical proposition time doesn't enter into it and in the other it does. Now this is not a metaphisical statement." (pp 34).