sudgylacmoe
@sudgylacmoe - 109 本の動画
チャンネル登録者数 3.93万人
Have you ever been confused by mathematics? No matter how hard you try, it seems that it's all just a jungle of meaningless definitions and processes. How is...
最近の動画
10:57
Are Bivectors Really Oriented Plane Segments? From Zero to Geo 2.4
17:28
The Algebra of Bivectors - From Zero to Geo 2.3
11:19
Operations on Bivectors - From Zero to Geo 2.2
7:08
What Is a Bivector? From Zero to Geo 2.1
0:50
Square Roots When Normalizing Rotors
0:44
How to Normalize Rotors
0:44
Normalizing Rotors
0:48
Inverse of a 3D PGA Bivector
1:00
Decomposing a 3D PGA Rotor
1:00
An Alternative Way to Find Rotors
0:59
Calculating the Invariant Decomposition in 3D PGA
0:52
Decomposition of a 3D PGA Bivector
0:39
The Logarithm of a Rotor
0:38
Interpolating Rotors
0:42
Solving a Particular Vector Equation
0:43
Are Geometric and Exterior Algebra Isomorphic?
33:29
Zorn's Lemma Demystified
0:43
An Interesting Construction of Polynomials (Part 3)
0:51
An Interesting Construction of Polynomials (Part 2)
0:41
An Interesting Construction of Polynomials (Part 1)
0:54
The Reverse in the Sandwich Product
0:52
The Limits of the Cartan-Dieudonné Theorem (Part 2)
0:59
The Limits of the Cartan-Dieudonné Theorem (Part 1)
0:45
Null Vectors vs. Degenerate Vectors
0:55
Hyperplane Reflections in Geometric Algebra
0:49
The Cartan-Dieudonné Theorem
0:34
Line Reflections in Geometric Algebra
0:37
What Is a Reflection?
0:49
2D Rotations in Geometric Algebra
0:38
Why Multiplying by i Causes Rotation
0:50
Products of Vectors in Two Dimensions
0:53
The Antisymmetric Part of the Product of Three Vectors
0:46
The Product of Three Vectors
0:56
The Inner Product of a Vector and a Simple Bivector
0:46
The Symmetric/Antisymmetric Parts of the Geometric Product
0:56
When the Inner/Outer Products are Commutative
0:47
The Grade Involution
0:47
The Geometric Product Is Not Continuous (In Infinite Dimensions)
0:37
Rejections
0:37
Projections in Geometric algebra
0:39
Empty Sums and Products
0:45
Putting Labels on the Outside of a Triangle
0:51
The Commutative and Anticommutative Parts of the Geometric Product
9:00
You can add scalars and vectors! From Zero to Geo 1.11
0:54
When Isomorphism Is Not Equality
0:49
Geometric Algebra and Grading
0:59
Pascal's Triangle in Geometric Algebra
0:37
Simple Inverses in Geometric Algebra
0:50
Cross Product Correspondences in Geometric Algebra
0:43
The Inner Product and Length
0:48
A Random Number Paradox (Part 2)
0:30
A Random Number Paradox (Part 1)
0:55
Universal Properties of Number Systems
0:41
Is the Scalar Product Commutative?
0:45
There Is No Odd Subalgebra
0:41
When is the outer product of a multivector with itself zero?
0:53
How to Change Your Perspective
14:55
Dimension is Multi-Dimensional - From Zero to Geo 1.10
0:54
Transitivity is Redundant (in Well-Ordered Sets)
0:43
What Actually Is a Bivector?
0:57
Counterexamples in Geometric Algebra
0:40
Constructing Geometric Algebra
0:24
Using the Fibonacci Series for Unit Conversions
0:58
Determinants in Geometric Algebra
0:51
Connecting GA Rotation Formulas
0:45
Outermorphisms
0:49
Geometric Algebra and Tensors
0:21
Positioning a Label on a Line With PGA
0:18
Solving Systems of Linear Equations in PGA
0:54
How to draw lines in PGA
54:38
A Swift Introduction to Projective Geometric Algebra
10:56
Two-Dimensional Lines Are Three-Dimensional - From Zero to Geo 1.9 Bonus Video
0:52
How to Exponentiate Bivectors
0:53
Bases of Bases
0:54
Geometric Algebra vs. Clifford Algebra
0:42
The Square Root of a Rotor
0:54
The geometric product is not the sum of the inner and outer products!
0:54
All Complete Ordered Fields Are Isomorphic
24:05
The Tau Manifesto - With Michael Hartl
0:29
Are All Multivectors Invertible?
0:52
Finding the Area of Arbitrary Polygons With Geometric Algebra
0:53
A Module Where Every Subset is Linearly Independent
0:41
Quaternions Are Not Four-Dimensional Objects
0:33
Deriving the Law of Sines With Geometric Algebra
0:53
Are Bivectors Always Plane Segments?
0:51
Deriving Every Trig Identity in a Minute
0:31
Deriving the Law of Cosines With Geometric Algebra
40:35
An Overview of the Operations in Geometric Algebra
10:58
Vectors Are Not Lists of Numbers (Part 2) - From Zero to Geo 1.9
16:50
Vectors Are Not Lists of Numbers (Part 1) - From Zero to Geo 1.8
38:59
A Swift Introduction to Spacetime Algebra
18:05
An Alternative Introduction to Trigonometry
11:24
Superior Spanning Sets - From Zero to Geo 1.7
23:40
Addendum to A Swift Introduction to Geometric Algebra
11:33
Describing Many Vectors With a Few - From Zero to Geo 1.6
24:05
The Mathematical Proof of the Existence of Santa Claus
17:12
What is (a) Space? From Zero to Geo 1.5
21:35
The Algebra of Vectors - From Zero to Geo 1.4
10:36
How to Add Vectors - From Zero to Geo 1.3
14:29
The length of a vector and how to change it - From Zero to Geo 1.2
動画
10:56
Two-Dimensional Lines Are Three-Dimensional - From Zero to Geo 1.9 Bonus Video
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