What if Euler Had Discovered j Instead of i?
Dimensional Algebra
What if Euler Had Discovered j Instead of i?
7:04
Two Insane Methods to Crack the Gaussian Integral!
Dimensional Algebra
Two Insane Methods to Crack the Gaussian Integral!
10:13
Beyond Gauss: Extending Quadratic Reciprocity to Many Primes
Dimensional Algebra
Beyond Gauss: Extending Quadratic Reciprocity to Many Primes
4:39
What Are Real Numbers Really? Here's How I Built Them
Dimensional Algebra
What Are Real Numbers Really? Here's How I Built Them
12:06
Solving Fermat's Last Theorem in 3 Minutes (The Easy Way)
Dimensional Algebra
Solving Fermat's Last Theorem in 3 Minutes (The Easy Way)
3:48
Can Rational Numbers Multiply to Pi?
Dimensional Algebra
Can Rational Numbers Multiply to Pi?
6:22
Quadrinions Explained — And Why They're Not Complex Numbers
Dimensional Algebra
Quadrinions Explained — And Why They're Not Complex Numbers
11:50
Infinity =1
Dimensional Algebra
Infinity =1
0:11
How Did We Solve Ramanujan's 'Impossible' Formula for Pi?"
Dimensional Algebra
How Did We Solve Ramanujan's 'Impossible' Formula for Pi?"
4:57
This Integral Looks Impossible… But It Collapses Into Something Beautiful
Dimensional Algebra
This Integral Looks Impossible… But It Collapses Into Something Beautiful
11:10
Quaternions Were Just the Beginning - Wait Until You See This
Dimensional Algebra
Quaternions Were Just the Beginning - Wait Until You See This
5:27
This 64D Number System Contains Complex, Quaternion, and Octonion Math
Dimensional Algebra
This 64D Number System Contains Complex, Quaternion, and Octonion Math
6:44
Binomial Operator Calculus: The Ultimate Integration Shortcut!
Dimensional Algebra
Binomial Operator Calculus: The Ultimate Integration Shortcut!
17:17
Why Quadrix Numbers Could Replace Complex Numbers Forever
Dimensional Algebra
Why Quadrix Numbers Could Replace Complex Numbers Forever
24:19
Why Everything You Know About 2D Numbers Is Incomplete | Golden Numbers System
Dimensional Algebra
Why Everything You Know About 2D Numbers Is Incomplete | Golden Numbers System
7:14
How I Discovered Quaternions Inside Complex Numbers
Dimensional Algebra
How I Discovered Quaternions Inside Complex Numbers
9:04
Mathematicians HATE This Number System (Here's Why)
Dimensional Algebra
Mathematicians HATE This Number System (Here's Why)
6:24
Why Hamilton Abandoned 3D Numbers – Introducing Mokkabions
Dimensional Algebra
Why Hamilton Abandoned 3D Numbers – Introducing Mokkabions
9:23
What If There’s a Whole Family of 2D Number Systems? | Dimensional Algebra Part 1
Dimensional Algebra
What If There’s a Whole Family of 2D Number Systems? | Dimensional Algebra Part 1
13:59
Beyond Quaternions: The 3D Number System They Said Couldn't Exist.
Dimensional Algebra
Beyond Quaternions: The 3D Number System They Said Couldn't Exist.
10:13
Is 0.999... Really Equal to 1? Challenging a Mathematical Truth
Dimensional Algebra
Is 0.999... Really Equal to 1? Challenging a Mathematical Truth
3:43
A New Way to Prove √2 is Irrational – Mind-Blowing Geometric Proof!
Dimensional Algebra
A New Way to Prove √2 is Irrational – Mind-Blowing Geometric Proof!
5:56
Virtual Reflection Formula – A Hidden Link to the Gamma Function!
Dimensional Algebra
Virtual Reflection Formula – A Hidden Link to the Gamma Function!
5:13
Deriving the Leibniz Formula for Pi Using the Virtual Number System!
Dimensional Algebra
Deriving the Leibniz Formula for Pi Using the Virtual Number System!
5:21
Solving x^x = -1: Complex Numbers vs. The Virtual Number System!
Dimensional Algebra
Solving x^x = -1: Complex Numbers vs. The Virtual Number System!
5:37
The Riemann Zeta Function and Dirichlet Eta Function Explained
Dimensional Algebra
The Riemann Zeta Function and Dirichlet Eta Function Explained
6:16
Euler's Formula Proof Without Taylor Series – A Different Approach
Dimensional Algebra
Euler's Formula Proof Without Taylor Series – A Different Approach
2:28
Proof That 1 - 1 + 1 - 1 + … = 1/2 Using the Virtual Number System!
Dimensional Algebra
Proof That 1 - 1 + 1 - 1 + … = 1/2 Using the Virtual Number System!
3:43
√(-1) Like You’ve Never Seen Before: A Recursive Approach
Dimensional Algebra
√(-1) Like You’ve Never Seen Before: A Recursive Approach
5:16
Why i² = -1 Is Broken (And How to Fix It with Virtual Numbers)
Dimensional Algebra
Why i² = -1 Is Broken (And How to Fix It with Virtual Numbers)
5:45
√j | Finding Square the root of the virtual unit j
Dimensional Algebra
√j | Finding Square the root of the virtual unit j
6:27
Testing Primes and Mersenne Primes
Dimensional Algebra
Testing Primes and Mersenne Primes
5:45
A New Way to Calculate 1 + 2 + 3 + ... + n
Dimensional Algebra
A New Way to Calculate 1 + 2 + 3 + ... + n
6:08
Virtual Number System: Redefining Imaginary Numbers and Complex Analysis
Dimensional Algebra
Virtual Number System: Redefining Imaginary Numbers and Complex Analysis
7:49
The Zero Modular System (ZMS) - A New Revolution in Mathematics!
Dimensional Algebra
The Zero Modular System (ZMS) - A New Revolution in Mathematics!
5:05
Ibn Sina’s Proof of Necessary Existence – Explained Mathematically
Dimensional Algebra
Ibn Sina’s Proof of Necessary Existence – Explained Mathematically
4:42
Lucas’s Theorem & Virtual Numbers: Deriving (1 + j)^n
Dimensional Algebra
Lucas’s Theorem & Virtual Numbers: Deriving (1 + j)^n
4:12
Axioms of the Virtual Number System
Dimensional Algebra
Axioms of the Virtual Number System
7:59
Why 2j=0 | Proof of Virtual Unit Properties
Dimensional Algebra
Why 2j=0 | Proof of Virtual Unit Properties
8:36
Virtual Number System: A New Mathematical Perspective
Dimensional Algebra
Virtual Number System: A New Mathematical Perspective
24:36
The Mu Function and Its Surprising Connection to the Zeta Function!
Dimensional Algebra
The Mu Function and Its Surprising Connection to the Zeta Function!
4:30
Virtual Identity | The Most Beautiful Equation in Mathematics
Dimensional Algebra
Virtual Identity | The Most Beautiful Equation in Mathematics
6:01
New Series for π | The S-Function Discovery
Dimensional Algebra
New Series for π | The S-Function Discovery
6:36
How Virtual Numbers Transform Euler’s Zeta Formula
Dimensional Algebra
How Virtual Numbers Transform Euler’s Zeta Formula
6:06
A New Way to Find Derivatives Without Natural Logs!
Dimensional Algebra
A New Way to Find Derivatives Without Natural Logs!
3:58
Solving the Integral of sinⁿ(x)/xⁿ from 0 to ∞ | Dirichlet Integrals
Dimensional Algebra
Solving the Integral of sinⁿ(x)/xⁿ from 0 to ∞ | Dirichlet Integrals
9:32
Why 1⁰ = 1¹ Doesn’t Mean 0 = 1
Dimensional Algebra
Why 1⁰ = 1¹ Doesn’t Mean 0 = 1
2:25
Deriving the Fibonacci Sequence Formula
Dimensional Algebra
Deriving the Fibonacci Sequence Formula
9:07
Solving the Basel Problem and Even Zeta Function Values
Dimensional Algebra
Solving the Basel Problem and Even Zeta Function Values
4:54
Infinite Product of All Prime Numbers
Dimensional Algebra
Infinite Product of All Prime Numbers
4:36
Dual Matrices: A Revolutionary Approach to Matrix Calculations
Dimensional Algebra
Dual Matrices: A Revolutionary Approach to Matrix Calculations
3:04
Virtual Taylor Series Explained: A New Dimension in Mathematics
Dimensional Algebra
Virtual Taylor Series Explained: A New Dimension in Mathematics
3:03
Dimensional Geometry: Redefining the Pythagorean Theorem for 3D Spaces
Dimensional Algebra
Dimensional Geometry: Redefining the Pythagorean Theorem for 3D Spaces
3:44
Virtual Formula vs Euler Formula: A New Mathematical Perspective
Dimensional Algebra
Virtual Formula vs Euler Formula: A New Mathematical Perspective
4:13
What is -1! ? | Understanding Negative Factorials and Singularity Numbers
Dimensional Algebra
What is -1! ? | Understanding Negative Factorials and Singularity Numbers
4:18
General Formula of Prime Numbers
Dimensional Algebra
General Formula of Prime Numbers
7:12
Ln(0) | Value of Natural Log of 0
Dimensional Algebra
Ln(0) | Value of Natural Log of 0
5:07
Collatz Conjecture Proof !
Dimensional Algebra
Collatz Conjecture Proof !
2:01
Can you Solve x/x = -1 | Singularity Numbers Part 2
Dimensional Algebra
Can you Solve x/x = -1 | Singularity Numbers Part 2
5:15
Deriving the General Quartic Formula Step-by-Step | Solve Any Quartic Equation
Dimensional Algebra
Deriving the General Quartic Formula Step-by-Step | Solve Any Quartic Equation
5:59
is π rational? Understanding π = j / i
Dimensional Algebra
is π rational? Understanding π = j / i
1:08
Singularity Numbers: Redefining Division by Zero and Beyond
Dimensional Algebra
Singularity Numbers: Redefining Division by Zero and Beyond
4:13
why e^j = 1+j | Virtual Numbers Part 2
Dimensional Algebra
why e^j = 1+j | Virtual Numbers Part 2
3:35
Introduction to Virtual Numbers: A New Era in Mathematics
Dimensional Algebra
Introduction to Virtual Numbers: A New Era in Mathematics
4:06
Cubic Formula
Dimensional Algebra
Cubic Formula
4:51
Derive a New Quadratic Formula Easily | Step-by-Step Math Tutorial
Dimensional Algebra
Derive a New Quadratic Formula Easily | Step-by-Step Math Tutorial
4:17
How to Find the Product of Two Logarithms: log(a) × log (b)
Dimensional Algebra
How to Find the Product of Two Logarithms: log(a) × log (b)
2:51
Proof of Quadratic equation | Quadratic Formula
Dimensional Algebra
Proof of Quadratic equation | Quadratic Formula
0:31
Cubic Root Formula
Dimensional Algebra
Cubic Root Formula
5:07
A0A1+A1A2+...+An-1An
Dimensional Algebra
A0A1+A1A2+...+An-1An
20:28
Difference between Two Relative Squares
Dimensional Algebra
Difference between Two Relative Squares
4:21
-1/2 Not equals to -0.5
Dimensional Algebra
-1/2 Not equals to -0.5
9:59
13_4 Conjecture and Collatz Conjecture @veritasium
Dimensional Algebra
13_4 Conjecture and Collatz Conjecture @veritasium
14:18