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Talk Session Presentations
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Fractal Trees in R
35 min
Mathematics
R Programming
“In the intricate dance of chaos, fractals emerge as the poetry of geometry, revealing the beauty of infinity in finite form.”
Abhirup Moitra
Feb 25, 2024
The Law of Large Numbers & Central Limit Theorems
19 min
Mathematics
R Programming
Probability Theory
Definition:
The Law of Large Numbers states that as the sample size increases (or as the number of trials in an experiment increases), the sample mean (or what) converges in…
Abhirup Moitra
Nov 26, 2023
Simulation of Coin Tossing
10 min
Mathematics
R Programming
Probability Theory
Simulation is a method used to examine the “what if” without having real data. We just make it up! We can use pre-programmed functions in R to simulate data from different…
Abhirup Moitra
Nov 26, 2023
Simulating Probability Problem
8 min
Mathematics
R Programming
Probability Theory
The frequentist interpretation of conditional probability based on a large number
\(n\)
of repetitions of an experiment is
\(P(A|B) \approx n_{AB}/n_{B}\)
, where
\(n_{AB}\)
i…
Abhirup Moitra
Nov 26, 2023
Matrix Algebra with R
26 min
Mathematics
R Programming
Statistics
A vector is a one-dimensional array of n numbers. A vector is substantially a list of variables, and the simplest data structure in R. A vector consists of a collection of…
Abhirup Moitra
Nov 26, 2023
Elementary Probability Distribution
29 min
Mathematics
R Programming
Probability Theory
R comes with built-in implementations of many probability distributions. This document will show how to generate these distributions in R by focusing on making plots, and so…
Abhirup Moitra
Nov 26, 2023
Classical Theory of Probability
19 min
Probability Theory
R Programming
The mathematical framework for probability is built around sets. Imagine that an experiment is performed, resulting in one out of a set of possible outcomes. Before the…
Abhirup Moitra
Nov 18, 2023
Graphing of Functions Using R
35 min
Mathematics
R Programming
The topic of calculus is fundamentally about mathematical functions and the operations that are performed on them. The concept of “
mathematical function
” is an idea. If we…
Abhirup Moitra
Sep 11, 2023
Programming and Visulization Golden Spiral
4 min
Mathematics
R Programming
Most of you will have heard about the number called the golden ratio. It appears, for example, in the book/film The da Vinci Code and in many articles, books, and school…
Abhirup Moitra
Feb 15, 2023
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