The geometry of quotients

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From a channel Lumen includes in full: DanielChanMaths (UNSW mathematician Daniel Chan) posts complete university lecture courses in algebra, linear algebra, group theory and geometry.

What you'll learn

A 21-minute video from DanielChanMaths's catalogue; the title names its topic.

Science & Math

Video by DanielChanMaths, played through YouTube's embedded player.

Part of A crash course in stacks

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Dirichlet series and counting primes DanielChanMathsScience & Math

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1-forms. Line Integrals. Degree DanielChanMathsScience & Math

But what is a neural network? | Deep learning chapter 1 3Blue1BrownScience & Math

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But what is the Fourier Transform? A visual introduction.3Blue1BrownScience & Math

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Lec 1 | MIT 18.06 Linear Algebra, Spring 2005 MIT OpenCourseWareScience & Math

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Math's Fundamental Flaw VeritasiumScience & Math

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AT&T Archives: Similiarities of Wave Behavior (Bonus Edition)AT&T Tech ChannelEngineering

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Lecture 1: Introduction to Superposition MIT OpenCourseWareScience & Math

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How an Atomic Clock Really Works: Inside the HP 5061A Cesium Clock CuriousMarcEngineering

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Doug McLean | Common Misconceptions in Aerodynamics Michigan EngineeringEngineering

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27:13

The Longest Year in Human History (46 B.C.E.)Historia CivilisHistory

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34:59

Dirichlet series and counting primes

DanielChanMaths

A 35-minute video from DanielChanMaths's catalogue; the title names its topic.

28:29

1-forms. Line Integrals. Degree

DanielChanMaths

A 28-minute video from DanielChanMaths's catalogue; the title names its topic.

But what is a neural network? | Deep learning chapter 1

3Blue1Brown

Intro25.1M views

Builds up what a neural network actually is — neurons as numbers, layers, weights and biases — using handwritten-digit recognition as the running example.

But what is the Fourier Transform? A visual introduction.

3Blue1Brown

Intro12.6M views

A visual introduction to the Fourier transform: winding a signal around a circle to find its frequencies.

Lec 1 | MIT 18.06 Linear Algebra, Spring 2005

MIT OpenCourseWare

4.93M views

Gilbert Strang's first lecture of MIT 18.06: the geometry of linear equations.

Math's Fundamental Flaw

Veritasium

30.8M views

Gödel's incompleteness, Turing's halting problem and the limits of mathematics.

AT&T Archives: Similiarities of Wave Behavior (Bonus Edition)

AT&T Tech Channel

474K views

Bell Labs' J.N. Shive uses a mechanical wave machine to show reflection, standing waves, resonance and impedance matching — the ideas behind transmission lines.

The Most Misunderstood Concept in Physics

Veritasium

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Entropy, the arrow of time and why the Sun is a source of low entropy rather than just energy.

Lecture 1: Introduction to Superposition

MIT OpenCourseWare

Intro9.37M views

MIT 8.04 Quantum Physics I, lecture 1: superposition, introduced through experiments with 'hardness' and 'color'.

25:10

How an Atomic Clock Really Works: Inside the HP 5061A Cesium Clock

CuriousMarc

465K views

CuriousMarc opens an HP 5061A caesium beam clock and explains, module by module, how it locks to an atomic transition.

Doug McLean | Common Misconceptions in Aerodynamics

Michigan Engineering

857K views

Boeing aerodynamicist Doug McLean dismantles popular wrong explanations of lift and explains what really happens.

27:13

The Longest Year in Human History (46 B.C.E.)

Historia Civilis

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How Julius Caesar's calendar reform produced the 445-day year of 46 BCE and gave us the Julian calendar.