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MATHEMATICS

"Language of universe"

Blessed is the realm of mathematics, where elegant truths unfold with certainty. Through its language of numbers and symbols, we unlock the mysteries of the universe and reveal the patterns that govern all creation. In the embrace of mathematics, we find the key to innovation and progress, shaping a world of boundless possibilities.

OUR COURSES

119

Applied Statistic

Curve Fitting by the Method of Least Squares, Linear Curve Fitting, Polynomial Curve Fitting, Nonlinear Curve Fitting, Introduction to Hypothesis Testing, Steps for Hypothesis Testing, Common Test Statistics,

BY Abuzar (B.Tech CSE Jamia hamdard)

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111

Basic Statistic

Measures of Central Tendency, Moments, First Moment (Mean), Second Moment (Variance), Third Moment (Skewness), Pearson Correlation Coefficient, Spearman and Kendall Correlation, Regression, Rank Correlation,

BY Abuzar (B.Tech CSE Jamia hamdard)

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67

Bivariate Distribution

Joint Distribution Function for Discrete Random Variables, Joint Probability Density Function for Continuous Random Variables, Marginal probability density functions, Conditional Density Function for Joint Distribution, Bivariate Normal Distribution

BY Abuzar (B.Tech CSE Jamia hamdard)

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95

Continuous Probability Distributions

Expectation (E) of a Continuous Random Variable, Moment Generating Function (MGF) for Continuous Distribution, Normal Distribution, Standard Normal distributon, Gamma Distribution, Exponential Distribution

BY Abuzar (B.Tech CSE Jamia hamdard)

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142

Basic Probability

Conditional Probability, Total Probability Theorem, Baye's Theorem, Random Variables, Distribution, Discrete Probability Distribution, Expectation of a discrete random variable, Binomial Distribution, Poisson Distribution

BY Abuzar (B.Tech CSE Jamia hamdard)

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458

Why Eigenvectors Matter

Quick Refresher,Linear Functions Pull Inputs Towards the Dominant Eigenvector, Breaking Up the Input With an Eigenbasis, Dominant Eignevalues and Eigenvectors.

BY Dhruv Parthasarathy (VP Eng Athelas. MIT BS in Math + CS '13. MIT MS in CS '14.)

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709

Kernels

Functions Across Spaces, Losing Information, The Kernel, Conclusion.

BY Dhruv Parthasarathy (VP Eng Athelas. MIT BS in Math + CS '13. MIT MS in CS '14.)

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696

PageRank

How Eigenvectors Power the Algorithm Behind Google Search.

BY Dhruv Parthasarathy (VP Eng Athelas. MIT BS in Math + CS '13. MIT MS in CS '14.)

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874

Eigen Vectors

Basis Vectors, Matrix Notation Based on Bases, The Power of Diagonals, Geometric Interpretation of Eigenvectors.

BY Dhruv Parthasarathy (VP Eng Athelas. MIT BS in Math + CS '13. MIT MS in CS '14.)

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982

MATRICES

Representing Functions,  Linear Maps, Example of Creating a Matrix Representation, Matrix Multiplication as Function Composition

BY Dhruv Parthasarathy (VP Eng Athelas. MIT BS in Math + CS '13. MIT MS in CS '14.)

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