A Mathematical Theory of Communication [pdf]
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The Mathematical Movie Database Back to www.qedcat.com The Mathematical Movie Database by Burkard Polster and Marty Ross Last updated: June 22, 2020. (Recent additions will be marked with a $$$) (TV episodes can now be found at our MTVDB) Must-See … Read more
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Mathematical foundations of Joy by Manfred von Thun Abstract: Joy is a functional programming language which is not based on the application of functions to arguments but on the composition of functions. This paper describes the theoretical basis of the … Read more
Let us now suppose that the components ( x_i ) of a message ( x ) in its representation eqref{eq-03} as sequence, are letters of the alphabet, and perhaps other similar symbols like periods or commas. Then, the set ( … Read more
Mathematicians study a variety of different mathematical structures, but perhaps the structures that are most commonly associated with mathematics are the number systems, such as the integers or the real numbers . Indeed, the use of number systems is so … Read more
If proofs exist in a social context, how have they changed over time? It all starts with Aristotle. He said that there needs to be some sort of deductive system — that you can only prove new things by basing … Read more
[Submitted on 5 Apr 2007 (v1), last revised 8 Oct 2007 (this version, v2)] Download a PDF of the paper titled The Mathematical Universe, by Max Tegmark (MIT) Download PDF Abstract: I explore physics implications of the External Reality Hypothesis … Read more
arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. … Read more
Credit: Unsplash/CC0 Public Domain Having levels of potassium that are too high or too low can be fatal. A new mathematical model sheds light on the often mysterious ways the body regulates this important electrolyte. Potassium, a common mineral abundant … Read more