Rezultati pretraživanja
  1. 17. stu 2019.

    The Borsuk–Ulam theorem forbids 1-1, continuous mappings of the circle onto the real line. Time-of-day must therefore jump discontinuously somewhere as one goes all the way around the world. Hence the need for an International Date Line.

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  2. 31. sij

    Bounty offered: Show that for Abelian groups $ and , \bigl[K(G, n), K(H, n)\bigr] \con...

  3. 16. stu 2019.
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  4. 8. kol 2019.

    The Hairy Ball theorem or Hedgehog theorem proven by Poincaré in the 19th century states that "you can't comb a hairy ball flat without creating a cowlick". A hairy doughnut is totally combable though!

  5. 20. velj 2019.

    Next week, Friday 1st of March. will give a talk titled: 'Big Mathematics for Big Data' . All welcome.

  6. Learnt about cubical complexes today! Might have some applications to and . 

  7. 1. lis 2018.

    II. The Fundamental Group §3 Def. of the fundamental group of a space : done コンパクトな曲面の分類定理は和訳じゃなくて日本語でのまとめにしました。証明の準備が終わって、証明本体に入りました。

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  8. 5. ruj 2018.

    The Hairy Ball theorem or Hedgehog theorem states that there isn't a nonvanishing continuous tangent vector field on even dimensional n-spheres. Or in other words "you can't comb a hairy ball flat without creating a cowlick"

  9. . and Jakob Hansen outline a program in spectral sheaf theory (an extension of spectral graph theory to cellular sheaves) in their recent paper.

  10. Viewed (==>), the slow ascension to elegance, topology to algebra. Viewed (<==), the realization that abstract nonsense isn’t enough to see what’s really going on. tl;dr is amazing

  11. Microsoft Research Talks take a deeper dive into some of today's most groundbreaking like Neural Homology Theory. Watch 's talk on characterizing the capacity of using :

    Microsoft Research Talks take a deeper dive into some of today's most groundbreaking #research like Neural Homology Theory. Watch @wgussml's talk on characterizing the capacity of #neuralnetworks using #algebraictopology: https://aka.ms/v30s2w
  12. We just released our paper "On Characterizing the Capacity of Neural Networks using Algebraic Topology" on . Joint work with ! Website: Paper:

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  13. 3. kol 2017.

    Bounty offered: On sufficient conditions to ensure /G\cong X/G'\Rightarrow G\cong G'$.

  14. 19. srp 2017.

    山手線は丸いのか?プログラマのためのトポロジー入門 さんから Henri Poincare「"数学とは、異なるものを同じものとみなす技術である"」 これ本質って感じ。

  15. 30. lip 2017.

    Oscar Randal-Williams & Jack Thorne from win 2017 Whitehead prizes for &

  16. 15. lip 2017.
  17. 13. lip 2017.

    Neuronal findings provide link btw anatomical structure & brain function

  18. 13. lip 2017.

    Cliques of neurons in cavities provide link btw brain structure/function

  19. 3. lip 2017.

    My colleague Henry Markram on how multidimensional space might help understand the brain

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