Alex's World of Math
Alex's World of Math
  • Видео 27
  • Просмотров 2 005
Proof to Explicit Formula for Catalan Numbers [Generating Functions]
Hi, I am Alexander Wang and I hope you learned something from this video.
Check out my free combinatorics book through my website: alexsworldofmath.org.
Please let me know if you have any questions through comments or by email: alexanderwang3445@gmail.com
Просмотров: 103

Видео

Proving Vandermonde's Identity: Double Counting Technique
Просмотров 1152 месяца назад
Hi, I am Alexander Wang and I hope you learned something from this video. In today's video, I prove Vandermonde's Identity using the double-counting technique. Please let me know if you have any questions through comments or by email: alexanderwang3445@gmail.com
Proving Pascal's Symmetry using Double Counting
Просмотров 1552 месяца назад
Hi, I am Alexander Wang and I hope you learned something from this video. In this video, I prove Pascal's Symmetry using the double counting technique. Please let me know if you have any questions through comments or by email: alexanderwang3445@gmail.com
Proving Pascal's Identity: An Algebraic Method
Просмотров 812 месяца назад
Hi, I am Alexander Wang and I hope you learned something from this video. In this video, I prove Pascal's Identity through an algebraic method. Please let me know if you have any questions through comments or by email: alexanderwang3445@gmail.com
Deriving the Binomial Theorem: A Proof by Induction
Просмотров 972 месяца назад
Hi, I am Alexander Wang and I hope you learned something from this video. In this video, I derive the binomial theorem using proof by induction. Please let me know if you have any questions through comments or by email: alexanderwang3445@gmail.com
Proving the Binomial Theorem: A Combinatorial Proof
Просмотров 1202 месяца назад
Hi, I am Alexander Wang and I hope you learned something from this video. In this video, we prove the binomial theorem using a combinatorial proof. Please let me know if you have any questions through comments or by email: alexanderwang3445@gmail.com
Introduction to Pascal's Triangle
Просмотров 1022 месяца назад
Hi, I am Alexander Wang and I hope you learned something from this video. Please let me know if you have any questions through comments or by email: alexanderwang3445@gmail.com
The Principle of Nothingness - Counting Principles
Просмотров 1063 месяца назад
Hi, I am Alexander Wang and I hope you learned something from this video. I will shortly go through a very simple but important concept in combinatorics called The Principle of Nothingness. Please let me know if you have any questions through comments or by email: alexanderwang3445@gmail.com
Stars and Bars (Part 2) - Counting Principles
Просмотров 1163 месяца назад
Hi, I am Alexander Wang and I hope you learned something from this video. Today, I will derive stars and bars formula three separate ways. Additionally, I will go through an example using this formula. Please let me know if you have any questions through comments or by email: alexanderwang3445@gmail.com
Stars and Bars (Part 1) - Counting Principles
Просмотров 873 месяца назад
Hi, I am Alexander Wang and I hope you learned something from this video. Today, I will introduce stars and bars and derive a formula. Please let me know if you have any questions through comments or by email: alexanderwang3445@gmail.com
Ordered Selection, Repetition Allowed - Counting Principles
Просмотров 853 месяца назад
Hi, I am Alexander Wang and I hope you learned something from this video. Today, I will introduce and derive the formula for ordered selection with repetition allowed. Please let me know if you have any questions through comments or by email: alexanderwang3445@gmail.com
Combinations - Counting Principles
Просмотров 363 месяца назад
Hi, I am Alexander Wang and I hope you learned something from this video. Today, I will introduce and derive combinations, then demonstrate that formula through an example problem. Please let me know if you have any questions through comments or by email: alexanderwang3445@gmail.com
Permutations - Counting Principles
Просмотров 203 месяца назад
Hi, I am Alexander Wang and I hope you learned something from this video. Today, I will introduce permutations and deriving its formula. Please let me know if you have any questions through comments or by email: alexanderwang3445@gmail.com
The Multiplication Principle - Counting Principles
Просмотров 283 месяца назад
Hi, I am Alexander Wang and I hope you learned something from this video. In this video, I go through the multiplication principle. Please let me know if you have any questions through comments or by email: alexanderwang3445@gmail.com
The Addition Principle - Counting Principles
Просмотров 213 месяца назад
Hi, I am Alexander Wang and I hope you learned something from this video. In this video, I go through the basic addition principle. Please let me know if you have any questions through comments or by email: alexanderwang3445@gmail.com
[Part 3] Introduction to Generating Functions
Просмотров 753 месяца назад
[Part 3] Introduction to Generating Functions
[Part 2] Introduction to Generating Functions
Просмотров 263 месяца назад
[Part 2] Introduction to Generating Functions
[Part 1 ]Introduction to Generating Functions
Просмотров 423 месяца назад
[Part 1 ]Introduction to Generating Functions
[Part 2] Using Generating Functions to Solve Non-Homogeneous Recurrence Relations
Просмотров 323 месяца назад
[Part 2] Using Generating Functions to Solve Non-Homogeneous Recurrence Relations
[Part 1] Using Generating Functions to Solve Non-Homogeneous Recurrence Relations
Просмотров 753 месяца назад
[Part 1] Using Generating Functions to Solve Non-Homogeneous Recurrence Relations
[Part 2] Solving Linear Non-Homogeneous Recurrence Relations: Characteristic Root Method
Просмотров 1853 месяца назад
[Part 2] Solving Linear Non-Homogeneous Recurrence Relations: Characteristic Root Method
[Part 1] Solving Linear Non-Homogeneous Recurrence Relations: Characteristic Root Method
Просмотров 483 месяца назад
[Part 1] Solving Linear Non-Homogeneous Recurrence Relations: Characteristic Root Method
[Part 1] Solving Homogeneous Linear Recurrence Relations: Characteristic Root Method
Просмотров 923 месяца назад
[Part 1] Solving Homogeneous Linear Recurrence Relations: Characteristic Root Method
[Part 2] Solving Homogeneous Linear Recurrence Relations: Characteristic Root Method
Просмотров 183 месяца назад
[Part 2] Solving Homogeneous Linear Recurrence Relations: Characteristic Root Method
[Part 3] Solving Homogeneous Linear Recurrence Relations: Characteristic Root Method
Просмотров 393 месяца назад
[Part 3] Solving Homogeneous Linear Recurrence Relations: Characteristic Root Method
Master SAT Math: Top 10 Must-Know Problems (Part 2)
Просмотров 553 месяца назад
Master SAT Math: Top 10 Must-Know Problems (Part 2)
Master SAT Math: Top 10 Must-Know Problems (Part 1)
Просмотров 473 месяца назад
Master SAT Math: Top 10 Must-Know Problems (Part 1)