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177 results for tags mathematics x
  • New math method solves polynomial equations beyond degree four
    Found on the MoHP forum https://www.hpmuseum.org/forum/thread-23526-post-203634.html#pid203634
    The article "A Hyper-Catalan Series Solution to Polynomial Equations, and the Geode"
    N. J. Wildberger &Dean Rubine
    Pages 383-402 | Received 27 Dec 2023, Accepted 07 Jun 2024, Published online: 08 Apr 2025

    can be found on https://www.tandfonline.com/doi/full/10.1080/00029890.2025.2460966#d1e13225
    Thu May 8 10:48:37 2025 - permalink -
    - https://newatlas.com/science/algebras-oldest-problem/
    for:mp mathematics polynomial
  • Approximations for the Factorial Function by Peter Luschny
    Found on the MoHP forum https://www.hpmuseum.org/forum/thread-23365-post-202412.html#pid202412
    See also the interesting http://www.luschny.de/math/zeta/The-Bernoulli-Manifesto.html which convinced Donald Knuth to correct the definition of the Bernoulli number B_1 in his book Concrete Mathematics.
    The index http://www.luschny.de/math/index.htm gives a good overview (in german).
    Mon Apr 14 17:13:58 2025 - permalink -
    - http://www.luschny.de/math/factorial/approx/SimpleCases.html
    algorithm mathematics numerical
  • Test Set for IVP Solvers
    "Both engineers and computational scientists alike will benefit greatly from having a standard test set for Initial Value Problems (IVPs) which includes documentation of the test problems, experimental results from a number of proven solvers, and Fortran subroutines providing a common interface to the defining problem functions. Engineers will be able to see at a glance which methods will be most effective for their class of problems. Researchers will be able to compare their new methods with the results of existing ones without incurring additional programming workload; they will have a reference with which their colleagues are familiar. This test set tries to fulfill these demands and tries to set a standard for IVP solver testing."
    Found on John Butcher's page https://www.jcbutcher.com/rkclub
    Fri Feb 28 08:23:58 2025 - permalink -
    - https://archimede.uniba.it/~testset/testsetivpsolvers/
    algorithm mathematics numerical software
  • How Unix Spell Ran in 64kB RAM
    "How do you fit a dictionary in 64kb RAM? Unix engineers solved it with clever data structures and compression tricks. Here's the fascinating story behind it."
    Mentioned by Aharon Robbins on the TUHS mailing list https://www.tuhs.org/pipermail/tuhs/2025-January/031371.html
    Tue Jan 28 23:23:22 2025 - permalink -
    - https://blog.codingconfessions.com/p/how-unix-spell-ran-in-64kb-ram
    algorithm computer mathematics reading Unix
  • The Ramanujan Machine
    The Ramanujan Machine project is an artificial intelligence project that specializes in automated conjecture generation in number theory. The project was described in detail in the paper "Generating conjectures on fundamental constants with the Ramanujan Machine" by Gal Raayoni, Shahar Gottlieb, Yahel Manor, George Pisha, Yoav Harris, Uri Mendlovic, Doron Haviv, Yaron Hadad, and Ido Kaminer. The paper, which appeared in Nature in 2021, gives several examples of automatically generated Ramanujan-style conjectures. https://www.ramanujanmachine.com/
    Tue Jan 28 23:19:59 2025 - permalink -
    - https://apieceofthepi.substack.com/p/the-ramanujan-machine
    for:mp mathematics
  • Maxima on the browser
    This is Maxima [1], a computer algebra system.

    The browser frontend has been built by Marius Gerbershagen using Embeddable Common Lisp [2], emscripten [3], gnuplot [4] and MathJax [5].

    Source code available on https://gitlab.com/spaghettisalat/maxima/-/tree/emscripten-port-deployed?ref_type=heads
    [1] https://sourceforge.net/projects/maxima/
    [2] https://ecl.common-lisp.dev/
    [3] https://emscripten.org/
    [4] http://www.gnuplot.info/
    [5] https://www.mathjax.org/

    Announced by Zach Beane on https://lispblog.xach.com/post/773844754188419072
    Tue Jan 28 10:07:54 2025 - permalink -
    - https://maxima-on-wasm.pages.dev/
    algebra computer Lisp mathematics web
  • maintain the basis inverse
    Mentioned on the PiDP-10 group https://groups.google.com/g/pidp-10/c/S3cp5G7ylWQ/m/dDYKkCLKDAAJ which links to https://www.linkedin.com/pulse/maintain-basis-inverse-noah-smith-qzcwe?utm_source=share&utm_medium=member_android&utm_campaign=share_via
    It appears to be part of a blog/story about the "lost in space" problem, numerical linear algebra, 36-bit computers from DEC and IBM.
    Sun Jan 19 23:02:49 2025 - permalink -
    - https://statespace.dev/basis-inverse.html
    algorithm mathematics numerical reading space
  • Complex Multiplication (CM)
    The CM software implements the construction of ring class fields of imaginary quadratic number fields and of elliptic curves with complex multiplication via floating point approximations. Additionally it provides an implementation of the fastECPP algorithm for proving primality of integers. It consists of libraries that can be called from within a C program and of executable command line applications. For the implemented algorithms, see A. Enge, The complexity of class polynomial computation via floating point approximations, Mathematics of Computation 78 (266), 2009, pp. 1089–1107.
    Found via https://matheplanet.at/matheplanet/nuke/html/viewtopic.php?topic=266257&post_id=1939590

    See also https://www.multiprecision.org/paridroid/index.html for PariDroid, a port of PARI/GP to Android
    Sun Dec 29 21:50:44 2024 - permalink -
    - https://www.multiprecision.org/cm/index.html
    C lic:GPL3 mathematics number-theory software
  • Norman Levinson (1912 - 1975) - Biography - MacTutor History of Mathematics
    The statement by G.H. Hardy supporting Norman Levinson is remarkable:
    "Tell me, Mr Bush, do you think you're running an engineering school or a theological seminary? Is this the Massachusetts Institute of Theology? If it isn't, why not hire Levinson."
    Mon Nov 25 15:36:31 2024 - permalink -
    - https://mathshistory.st-andrews.ac.uk/Biographies/Levinson/
    Hardy mathematics politics
  • Sterbenz lemma - exact computation of floating-point differences
    Mentioned on the MoHP forum https://www.hpmuseum.org/forum/thread-16122-post-154062.html#pid154062
    Mon Nov 25 11:17:16 2024 - permalink -
    - https://en.wikipedia.org/wiki/Sterbenz_lemma
    floating-point mathematics numerical
  • Federated Wiki - About MathJax Plugin
    A new kind of wiki, from Ward Cunningham, inventor of WikiWikiWeb.
    Found on https://en.wikipedia.org/wiki/Ward_Cunningham and https://en.wikipedia.org/wiki/Federated_Wiki
    Wed Nov 13 14:07:38 2024 - permalink -
    - http://fed.wiki.org/view/welcome-visitors/view/recent-changes/view/about-mathjax-plugin
    mathematics reading web wiki
  • Mathematicians Born In Austria - MacTutor History of Mathematics
    List of mathematicians born in Austria, there are pages for many other countries.
    Tue Oct 29 16:34:19 2024 - permalink -
    - https://mathshistory.st-andrews.ac.uk/Countries/Austria/
    mathematics reading
  • Complex floats and some big root-finding speedups
    The statement "I've found that Aberth performs worse [than Weierstrass-Durand-Kerner] on most examples as its faster convergence is offset by the slower evaluation." is interesting.
    Fredrik Johansson is the author of https://mpmath.org/, https://arblib.org/ and https://flintlib.org/ arbitrary-precision libraries and of the Mathematical Functions Grimoire https://fungrim.org/
    Mon Oct 28 12:17:41 2024 - permalink -
    - https://fredrikj.net/blog/2024/06/complex-floats-and-some-big-root-finding-speedups/
    blog mathematics polynomial root-finding software
  • The Strong Law of Small Numbers
    Examples of patterns which appear in 35 sequences, not all of them hold true as the sequence is extended.
    Found on the MoHP forum, https://www.hpmuseum.org/forum/thread-22461-post-193094.html#pid193094
    Mon Oct 14 13:34:38 2024 - permalink -
    - http://mathsisfun.byethost6.com/k02/k0208xx/Law-of-Small-Numbers.pdf?i=1
    for:mp mathematics reading
  • What’s All This T-Coil Stuff, Anyhow?
    Technique to extend bandwidth invented at Tektronix, found on https://w140.com/tekwiki/wiki/Bridged_T-coil
    Wed Sep 25 07:30:50 2024 - permalink -
    - https://www.electronicdesign.com/technologies/analog/article/21807815/whats-all-this-t-coil-stuff-anyhow
    electronics mathematics TODO
  • Terry Tao on AI | Mathematical Institute
    Last month Terry gave the Oxford Mathematics London Public Lecture at the Science Museum, revealing his thoughts on the potential of Artificial Intelligence for science and mathematics before joining fellow mathematician Po-Shen Lo for a fireside chat.

    What does he think? Well, he certainly sees a future where mathematics is embracing and benefiting from AI. It might even bring more mathematicians in to the subject, some of them not even professionals.

    Find out more by watching the lecture from 5pm BST on Wednesday 7th August 2024 onwards.
    Fri Sep 20 14:30:25 2024 - permalink -
    - https://www.maths.ox.ac.uk/node/68793
    mathematics reading TODO
  • Alice's Adventures in Numberland
    Blog of the mathematician Alice Silverman.
    Tue Jun 25 11:21:27 2024 - permalink -
    - https://numberlandadventures.blogspot.com/
    blog for:mp mathematics politics
  • TUForMath - Forum Mathematik
    Vorträge und andere Aktivitäten des Forums Mathematik an der technischen Universität Wien.
    Tue May 14 14:33:16 2024 - permalink -
    - https://www.tuwien.at/tuformath/
    german mathematics
  • Gödel's Lost Letter and P=NP | a personal view of the theory of computation
    Another mathematics blog, found on John D. Cook's blog https://www.johndcook.com/blog/2018/09/24/riemann-hypothesis-the-fine-structure-constant-and-the-todd-function/
    Wed Apr 3 13:28:21 2024 - permalink -
    - https://rjlipton.com/
    blog Gödel mathematics
  • Annoying Precision - Qiaochu Yuan's blog
    Found on https://rjlipton.com/2024/03/01/dominic-welsh-1938-2023/
    https://qchu.wordpress.com/2017/03/13/singular-value-decomposition nice description of the singular value decomposition (SVD)
    Wed Apr 3 13:24:47 2024 - permalink -
    - https://qchu.wordpress.com/
    blog mathematics SVD
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