Emmanuel Jesuyon Dansu
Emmanuel Jesuyon Dansu
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11. Applications & Insights from Special Series
Discover the fascinating world of special series in advanced mathematics and their powerful applications!
From Fourier and Taylor series to Bessel and Zeta functions, this video explores how these mathematical tools solve real-world problems in physics, engineering, and beyond.
Learn how these series are used in signal processing, quantum mechanics, number theory, and differential equations, making them essential for researchers and professionals.
Whether you're a math enthusiast or a student seeking deeper insights, this guide will illuminate the incredible potential of special series.
Don’t forget to like, share, and subscribe for more exciting math content!
#EJDansu #Mathematics #Maths #MathswithEJD #Mathematics #SpecialSeries #FourierSeries #TaylorSeries #BesselFunctions #NumberTheory #QuantumMechanics #MathTutorial #DifferentialEquations #MathEducation
มุมมอง: 15

วีดีโอ

20. Generating Functions in Cryptography and Data Structures26:5120. Generating Functions in Cryptography and Data Structures
20. Generating Functions in Cryptography and Data Structures
มุมมอง 12วันที่ผ่านมา
In this lesson, we investigate the application of generating functions in cryptography and data structures, particularly in analyzing hash table performance and collision probabilities. By understanding how generating functions model complex events, you’ll learn to optimize algorithms in cryptography and improve data retrieval systems. This video demonstrates how generating functions enhance ef...
19. Generating Functions in Population Modelling31:1819. Generating Functions in Population Modelling
19. Generating Functions in Population Modelling
มุมมอง 15วันที่ผ่านมา
This lesson explores how generating functions are used in biological systems to model population growth. We’ll work through the recurrence relation governing rabbit populations and apply generating functions to derive the population size over time. You’ll learn how generating functions simplify dynamic modeling and reveal exponential growth patterns in biological contexts. #EJDansu #Mathematics...
18. Generating Functions in Algorithm Analysis20:1318. Generating Functions in Algorithm Analysis
18. Generating Functions in Algorithm Analysis
มุมมอง 15วันที่ผ่านมา
In this lesson, we dive into the powerful application of generating functions for analyzing recursive algorithms. By solving recurrence relations through generating functions, we uncover closed-form solutions and better understand the runtime complexities of divide-and-conquer algorithms like the Fibonacci sequence. This video will show you how to efficiently solve algorithmic problems and gain...
17. Multivariate Inversion for Complex Problems10:3617. Multivariate Inversion for Complex Problems
17. Multivariate Inversion for Complex Problems
มุมมอง 14วันที่ผ่านมา
Multivariate inversion formulas can be challenging, but they're incredibly powerful for solving problems involving multiple variables. In this lesson, we explore how to apply these formulas to complex problems. With a worked example, we demonstrate how multivariate inversion can simplify even the most difficult combinatorial challenges. #EJDansu #Mathematics #Maths #MathswithEJD #MultivariateIn...
16. Basic Inversion Formula for Generating Functions9:1716. Basic Inversion Formula for Generating Functions
16. Basic Inversion Formula for Generating Functions
มุมมอง 13วันที่ผ่านมา
GF 16: Basic Inversion Formula for Generating Functions In this video, we cover the basic inversion formula for generating functions. Learn how to recover the original sequence from its generating function and apply this technique to various mathematical problems. We’ll work through an example to demonstrate how to extract coefficients using this important formula! #EJDansu #Mathematics #Maths ...
15. Multivariate Inversion Formulas6:1015. Multivariate Inversion Formulas
15. Multivariate Inversion Formulas
มุมมอง 14วันที่ผ่านมา
In this lesson, we dive into multivariate inversion formulas, a technique used to recover the original sequence from a multivariate generating function. This powerful tool helps us extract coefficients and solve complex problems involving multiple variables. Watch as we break down the steps with an example to make this technique clear and understandable! #EJDansu #Mathematics #Maths #MathswithE...
14. Multivariate Generating Functions9:5914. Multivariate Generating Functions
14. Multivariate Generating Functions
มุมมอง 16วันที่ผ่านมา
Multivariate generating functions allow us to handle problems with multiple variables simultaneously. In this video, we explain how to use these functions to represent problems like counting lattice paths and multisets. Learn step-by-step how to expand and manipulate multivariate generating functions with a real-world example. #EJDansu #Mathematics #Maths #MathswithEJD #MultivariateGeneratingFu...
13. Series Expansion of Generating Functions8:5113. Series Expansion of Generating Functions
13. Series Expansion of Generating Functions
มุมมอง 14วันที่ผ่านมา
In this lesson, we explore the technique of series expansion for generating functions. Learn how to expand generating functions into power series to extract coefficients and find combinatorial patterns. We'll work through a detailed example to showcase how you can apply this method to solve complex mathematical problems. #EJDansu #Mathematics #Maths #MathswithEJD #SeriesExpansion #GeneratingFun...
12. Partial Fraction Decomposition with Generating Functions27:1012. Partial Fraction Decomposition with Generating Functions
12. Partial Fraction Decomposition with Generating Functions
มุมมอง 41วันที่ผ่านมา
In this video, we dive deep into the technique of partial fraction decomposition for generating functions. Learn how to break down complex rational generating functions into simpler fractions and expand them for easier manipulation. This powerful technique is essential for solving complex combinatorial problems. Watch as we decompose and expand generating functions step-by-step with a worked ex...
11. Advanced Applications and Inversion of PGFs11:4311. Advanced Applications and Inversion of PGFs
11. Advanced Applications and Inversion of PGFs
มุมมอง 16วันที่ผ่านมา
In this lesson, we dive into advanced applications of Probability Generating Functions (PGFs), including the inversion technique for recovering the probability distribution from its PGF. We explain the power series expansion of PGFs and how to extract the original probability mass function (PMF). This lesson is essential for applying PGFs in more complex scenarios and analyzing the underlying d...
10. Sum of Independent Random Variables14:3610. Sum of Independent Random Variables
10. Sum of Independent Random Variables
มุมมอง 15วันที่ผ่านมา
This lesson covers the property of the sum of independent random variables and how to compute the PGF of their sum. We explain the multiplication rule for PGFs and demonstrate how to find the PGF of the sum of two Bernoulli random variables with different success probabilities. This concept is fundamental for understanding the behavior of combined random variables in probability theory. #EJDans...
9. PGF of the Geometric Distribution14:049. PGF of the Geometric Distribution
9. PGF of the Geometric Distribution
มุมมอง 28วันที่ผ่านมา
In this lesson, we derive the Probability Generating Function (PGF) of the Geometric distribution, which models the number of trials until the first success in a sequence of independent Bernoulli trials. We walk through the derivation process and provide an example with a specific success probability. This lesson is crucial for understanding the PGF of waiting time distributions and its applica...
8. PGF of the Poisson Distribution10:468. PGF of the Poisson Distribution
8. PGF of the Poisson Distribution
มุมมอง 23วันที่ผ่านมา
This lesson explains how to derive the Probability Generating Function (PGF) for the Poisson distribution, which is widely used in counting processes. We cover the theoretical background and provide a worked example using a Poisson random variable with a specific rate parameter 𝜆. Understanding the Poisson PGF is essential for analyzing rare events in various fields, including queueing theory a...
7. PGF of the Bernoulli Distribution9:487. PGF of the Bernoulli Distribution
7. PGF of the Bernoulli Distribution
มุมมอง 26วันที่ผ่านมา
In this lesson, we explore the Probability Generating Function (PGF) of the Bernoulli distribution, a fundamental discrete probability distribution. We show how to derive the PGF using the PMF and provide a worked example with a specific success probability. This lesson helps you understand the role of PGFs in representing simple probability distributions and prepares you for more complex appli...
6. Moment Calculation from PGFs13:486. Moment Calculation from PGFs
6. Moment Calculation from PGFs
มุมมอง 29วันที่ผ่านมา
6. Moment Calculation from PGFs
5. Introduction to Probability Generating Functions (PGFs)11:165. Introduction to Probability Generating Functions (PGFs)
5. Introduction to Probability Generating Functions (PGFs)
มุมมอง 21วันที่ผ่านมา
5. Introduction to Probability Generating Functions (PGFs)
FMS 56: The Leibniz Theorem14:36FMS 56: The Leibniz Theorem
FMS 56: The Leibniz Theorem
มุมมอง 21วันที่ผ่านมา
FMS 56: The Leibniz Theorem
FMS 55: Deriving the Closed-Form Expression for Catalan Numbers20:23FMS 55: Deriving the Closed-Form Expression for Catalan Numbers
FMS 55: Deriving the Closed-Form Expression for Catalan Numbers
มุมมอง 18วันที่ผ่านมา
FMS 55: Deriving the Closed-Form Expression for Catalan Numbers
FMS 54: Proving the Generating Function for Catalan Numbers: 𝐺(𝑥)=1+𝑥𝐺(𝑥)^214:24FMS 54: Proving the Generating Function for Catalan Numbers: 𝐺(𝑥)=1+𝑥𝐺(𝑥)^2
FMS 54: Proving the Generating Function for Catalan Numbers: 𝐺(𝑥)=1+𝑥𝐺(𝑥)^2
มุมมอง 19วันที่ผ่านมา
FMS 54: Proving the Generating Function for Catalan Numbers: 𝐺(𝑥)=1 𝑥𝐺(𝑥)^2
FMS 53: Expanding the Generating Function 𝐺(𝑥)=1/(1−𝑥−𝑥^2)9:12FMS 53: Expanding the Generating Function 𝐺(𝑥)=1/(1−𝑥−𝑥^2)
FMS 53: Expanding the Generating Function 𝐺(𝑥)=1/(1−𝑥−𝑥^2)
มุมมอง 11วันที่ผ่านมา
FMS 53: Expanding the Generating Function 𝐺(𝑥)=1/(1−𝑥−𝑥^2)
FMS 52: Finding Partitions of 5 into Distinct Parts Using Generating Functions15:09FMS 52: Finding Partitions of 5 into Distinct Parts Using Generating Functions
FMS 52: Finding Partitions of 5 into Distinct Parts Using Generating Functions
มุมมอง 19วันที่ผ่านมา
FMS 52: Finding Partitions of 5 into Distinct Parts Using Generating Functions
FMS 51: Deriving the Generating Function for the Sequence 𝑎_𝑛=2^𝑛7:20FMS 51: Deriving the Generating Function for the Sequence 𝑎_𝑛=2^𝑛
FMS 51: Deriving the Generating Function for the Sequence 𝑎_𝑛=2^𝑛
มุมมอง 27วันที่ผ่านมา
FMS 51: Deriving the Generating Function for the Sequence 𝑎_𝑛=2^𝑛
FMS 50: Deriving the Formula for the Sum of a Geometric Sequence8:52FMS 50: Deriving the Formula for the Sum of a Geometric Sequence
FMS 50: Deriving the Formula for the Sum of a Geometric Sequence
มุมมอง 20วันที่ผ่านมา
FMS 50: Deriving the Formula for the Sum of a Geometric Sequence
FMS 49: The 22nd Term in the Expansion of (𝑥^2−1/𝑥)^{30}7:43FMS 49: The 22nd Term in the Expansion of (𝑥^2−1/𝑥)^{30}
FMS 49: The 22nd Term in the Expansion of (𝑥^2−1/𝑥)^{30}
มุมมอง 19วันที่ผ่านมา
FMS 49: The 22nd Term in the Expansion of (𝑥^2−1/𝑥)^{30}
FMS 48: Geometric Sequence in Pharmacy (Dosage Reduction Over Time)17:07FMS 48: Geometric Sequence in Pharmacy (Dosage Reduction Over Time)
FMS 48: Geometric Sequence in Pharmacy (Dosage Reduction Over Time)
มุมมอง 17วันที่ผ่านมา
FMS 48: Geometric Sequence in Pharmacy (Dosage Reduction Over Time)
FMS 47: Arithmetic Sequences in Finance (Monthly Interest Growth)7:00FMS 47: Arithmetic Sequences in Finance (Monthly Interest Growth)
FMS 47: Arithmetic Sequences in Finance (Monthly Interest Growth)
มุมมอง 17วันที่ผ่านมา
FMS 47: Arithmetic Sequences in Finance (Monthly Interest Growth)
4. Generating Functions in Combinatorics15:384. Generating Functions in Combinatorics
4. Generating Functions in Combinatorics
มุมมอง 28วันที่ผ่านมา
4. Generating Functions in Combinatorics
3. Exponential Generating Functions21:553. Exponential Generating Functions
3. Exponential Generating Functions
มุมมอง 37วันที่ผ่านมา
3. Exponential Generating Functions
2. Ordinary Generating Functions17:462. Ordinary Generating Functions
2. Ordinary Generating Functions
มุมมอง 52วันที่ผ่านมา
2. Ordinary Generating Functions

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  • @KimberlyClark-r5d
    @KimberlyClark-r5d 2 วันที่ผ่านมา

    High quality video content! I have another question: someone transferred me some TRC20 USDT and I have recovery phrases: (pride pole obtain together second when future mask review nature potato bulb) How can I monetize them?

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  • @Debotaiwotalkshow
    @Debotaiwotalkshow 3 วันที่ผ่านมา

    Great stuff 🎉

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      @ejdansu 3 วันที่ผ่านมา

      Thank you so much!

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    Please follow on TH-cam and remember to subscribe, hit the notification bell, comment like and share: th-cam.com/video/Ii1WHcucpd8/w-d-xo.html

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  • @AyomideAdewoyin-s1p
    @AyomideAdewoyin-s1p 4 วันที่ผ่านมา

    Thank you sir ❤

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      You are welcome.

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  • @AdsTerra-d3l
    @AdsTerra-d3l 8 วันที่ผ่านมา

    hello

    • @ejdansu
      @ejdansu 8 วันที่ผ่านมา

      Hello

    • @AdsTerra-d3l
      @AdsTerra-d3l 8 วันที่ผ่านมา

      @@ejdansu Need SEO

    • @AdsTerra-d3l
      @AdsTerra-d3l 7 วันที่ผ่านมา

      @ejdansu Your channel need SEO.

    • @AdsTerra-d3l
      @AdsTerra-d3l 2 วันที่ผ่านมา

      @@ejdansu I can provide tips and strategies for growing a TH-cam channel! Please let me know what specific areas you're interested in, such as content creation, audience engagement, or promotion strategies.

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      @AdsTerra-d3l Thank you!

  • @AdsTerra-d3l
    @AdsTerra-d3l 8 วันที่ผ่านมา

    Hello

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  • @ot8479
    @ot8479 9 วันที่ผ่านมา

    ❤❤❤

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    ❤❤❤

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  • @IluyemiWisdom
    @IluyemiWisdom 10 วันที่ผ่านมา

    Thank you for the lecture Dr. Can I get lectures on differential equation or any understandable and recommended textbook for the course?

    • @ejdansu
      @ejdansu 10 วันที่ผ่านมา

      You are welcome. I will make the Differential Equations playlist along the line. For now, you can search TH-cam for relevant videos.

    • @IluyemiWisdom
      @IluyemiWisdom 10 วันที่ผ่านมา

      @@ejdansu Yes sir Thank you sir Looking forward

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