概论

数学

发现

Andrius Kulikauskas

  • ms@ms.lt
  • +370 607 27 665
  • My work is in the Public Domain for all to share freely.

用中文

  • 读物 书 影片 维基百科

Software

Study math, Math videos

YouTube to Mp3 converter


Ideas to Understand


What is a perspective?

Fiber bundles, vector bundles.

Tensor

Algebraic geometry.

Sheaves.

Dimension

Representation of topos

What is composition of perspectives?

Category theory

Explanation

Adjoint functors

Yoneda Lemma and Lenses

String diagrams

Higher category theory

Homotopy type theory

Statistics

What is a division of everything?

Chain complexes, homology and cohomology

Short and long exact sequences

Infinite three-cycle

What is the eight-cycle?

Bott periodicity

Quadratic forms

Clifford algebras

Wedderburn theorem on division algebras

Octonions

N-spheres

What is the eightfold way?

维基百科: Snake lemma

What is a geometry?

SL(2,C) and Möbius transformations.

Geometries Differences between affine, projective, conformal, symplectic geometry.

Classical Lie groups.

What is going beyond oneself?

Study finite fields and interpret {$F^{1^n}$}.

Study points at infinity and how they relate to coordinate systems.

What is the foursome?

Yoneda lemma.

Universality

Yates index set theorem.

What are the four geometries?

Relate quaternions and Mobius transformations.

Hopf algebras and real forms

Lie theory

What is duality?

Representation theory

What is measurement?

Quantum physics

What is entropy?

Ergodic theory

Walks

How to think of sequences, hierarchies and networks?

How to think of automata?

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Šis puslapis paskutinį kartą keistas September 09, 2021, at 09:59 AM