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Hi,
You are welcome to this course: Complete Math, Probability & Statistics for Machine learning.
This is a highly comprehensive Mathematics, Statistics, and Probability course, you learn everything from Set theory, Combinatorics, Probability, statistics, and linear algebra to Calculus with tons of challenges and solutions for Business Analytics, Data Science, Data Analytics, and Machine Learning. Mathematics, Probability & Statistics are the bedrock of modern science such as machine learning, predictive risk management, inferential statistics, and business decisions. Understanding the depth of these will empower you to solve numerous day-to-day business and scientific prediction problems and analytical problems. This course includes but is not limited to:”
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Sets
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Universal Set
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Proper and Improper Subset
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Super Set and Singleton Set
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Null or Empty Set
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Power Set
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Equal and Equivalent Set
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Set Builder Notations
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Cardinality of Set
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Set Operations
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Laws of Sets
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Finite and Infinite Set
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Number Sets
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Venn Diagram
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Union, Intersection, and Complement of Set
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Factorial
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Permutations
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Combinations
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Theoretical Probability
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Empirical Probability
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Addition Rules of Probability
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Mutual and Non-mutual Exclusive
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Multiplication Rules of Probability
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Dependent and Independent Events
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Random Variable
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Discrete and Continuous Variable
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Z-Score
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Frequency and Tally
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Population and Sample
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Raw Data and Array
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Mean
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Introduction
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Weighted Mean
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Properties of Mean
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Basic Properties of Mean
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Mean Frequency Distribution
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Median
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Median Frequency Distribution
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Mode
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Measurement of Spread
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Measures of Spread (Variation / Dispersion)
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Range
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Mean Deviation
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Mean Deviation for Frequency Distribution
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Variance & Standard Deviation
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Understanding Variance and Standard Deviation
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Basic Properties of Variance and Standard Deviation
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Variable | Dependent- Independent – Moderating – Ordinal…
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Variable
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Types of Variable
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Dependent, Independent, Control Moderating and Mediating Variables
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Correlation
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Regression & Collinearity
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Collinearity
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Pearson and Spearman Correlation Methods
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Understanding Pearson and Spearman correlation
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Spearman Formula
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Pearson Formula
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Regression Error Metrics
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Understanding Regression Error Metrics
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Mean Squared Error
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Mean Absolute Error
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Root Mean Squared Error
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R-Squared or Coefficient of Determination
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Adjusted R-Squared
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Summary on Regression Error Metrics
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Conditional Probability
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Bayes Theorem
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Binomial Distribution
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Poisson Distribution
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Normal Distribution
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Skewness and Kurtisos
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T – Distribution
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Decision Tree of Probability
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Linear Algebra – Matrices
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Indices and Logarithms
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Introduction to Matrix
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Addition and Subtraction – Matrices
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Multiplication – Matrice
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Square of Matrix
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Transpose of Matrix
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Special Matrix
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Determinant of Matrix
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Determinant of Singular Matrix – Example
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Cofactor
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Minor
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Place Sign
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Adjoint of a Square Matrix
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Inverse of Matrix
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The inverse of Matrix – Example
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Matrix for Simultaneous Equation – Exercise & Solution 10
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Cramer’s Rule
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Cramer’s Rule Example
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Eigenvalues and Eigenvectors
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Euclidean Distance and Manhattan Distance
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Differentiation
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Importance of Calculus for Machine Learning
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The gradient of a Straight Line
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The gradient of a Curve to Understanding Differentiation
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Derivatives By First Principle
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Derived Definition Form of First Principle
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General Formula
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Second Derivatives
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Understanding Second Derivatives
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Special Derivatives
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Understanding Special Derivatives
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Differentiation Using Chain Rule
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Understanding Chain Rule
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Differentiation Using Product Rule
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Understanding Product Rule
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Differentiation Using Chain and Product Rules
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Calculus – Indefinite Integrals I
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Calculus – Indefinite Integrals II
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Calculus – Definite Integrals I
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Calculus – Definite Integrals II
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Calculus – Area Under Curve – Using Integration
You will also have access to the Q&A section where you contact post questions. You can also send me a direct message.
Upon the completion of this course, you’ll receive a certificate of completion which you can post on your LinkedIn account for our colleagues and potential employers to view! All these come with a 30-day money-back guarantee. so you can try out the course risk-free!
Who is this course for:
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Those starting from scratch in Machine Learning
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Those who wish to take their career to the next level
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Professional in the field of Data Science
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Professionals in the banking industry
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Professionals in the insurance industry
Master the core Mathematics, Probability & Statistics for Business Analytics, Data Science, AI, Machine & Deep Learning!
Combinatorics
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1ML Success Starts Here: Master Math, Probability & Statistics for ML!
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2Importance of Set Theory to Machine Learning
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3Introduction to Set Theory
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4Representation of Set and Its Element - With Examples
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5Key Features of a Set
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6Null or an Empty Set
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7A Set as an Object
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8Element of a Set
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9Universal Quantifier - (For Every Symbol)
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10Universal Quantifier - Example 1
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11Universal Quantifier - Example 2
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12Universal Quantifier - Example 3
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13Universal Quantifier - Example 4
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14Universal Quantifier - Example 5
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15Universal Quantifier - Example 6
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16Universal Quantifier - Example 7
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17Universal Quantifier - Example 8
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18Universal Quantifier - Example 9
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19Set-builder Notation - Explained
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20Exercise & Solution 1 - Set-Builder Notation
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21Exercise & Solution 2 - Set-Builder Notation
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22Exercise & Solution 3 - Set-Builder Notation
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23Exercise & Solution 4 - Set-Builder Notation
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24Exercise & Solution 5 - Set-Builder Notation
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25Exercise & Solution 6 - Set-Builder Notation
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26Exercise & Solution 7 - Set-Builder Notation
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27Exercise & Solution 8 - Set-Builder Notation
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28Exercise & Solution 9 - Set-Builder Notation
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29Exercise & Solution 10 - Set-Builder Notation
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30Exercise & Solution 11 - Set-Builder Notation
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31Exercise & Solution 12 - Set-Builder Notation
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32Exercise & Solution 13 - Set-Builder Notation
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33Number System
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34Number System Symbols
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35Universal Set
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36Complement of a set
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37Cardinality of a Set
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38Exercises - Cardinality
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39Equipotent or Equinumerous sets Latest
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40Equal - Equivalent - Identical Sets
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41Principle of Extensionality
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42Is Empty Set equal to the Set of an Empty Set?
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43Singleton Set
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44Finite and Infinite Sets
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45Subset (Set Operation)
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46Superset (Set Operation)
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47Power Set (Set Operation)
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48Power Set of Empty Set
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49Union Set (Set Operation)
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50Exercise & Solution 1 - Union (Set Operation)
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51Exercise & Solution 2 - Union (Set Operation)
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52Exercise & Solution 3 - Union (Set Operation)
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53Intersection (Set Operation)
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54Exercise & Solution 1 - Intersection (Set Operation)
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55Exercise & Solution 2 - Intersection (Set Operation)
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56Exercise & Solution 3 - Intersection (Set Operation)
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57Disjoint & Non-Disjoint Sets
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58Exercise & Solution 1 - Disjoint & Non-Disjoint Sets
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59Exercise & Solution 2 - Disjoint & Non-Disjoint Sets
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60Exercise & Solution 3 - Disjoint & Non-Disjoint Sets
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61Exercise & Solution 4 - Disjoint & Non-Disjoint Sets
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62Exercise & Solution 5 - Disjoint & Non-Disjoint Sets
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63Exercise & Solution 6 - Disjoint & Non-Disjoint Sets
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64Exercise & Solution 7 - Disjoint & Non-Disjoint Sets
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65Negation
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66There Exist
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67Set Difference
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68Symmetric Difference
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69Cartesian Product
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70Common Sets Symbols
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71Venn Diagram - Introduction
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72Venn Diagram - Two Sets Relationships
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73Venn Diagram - Three Sets
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74Venn Diagram - Three Sets By Example
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75Venn Diagram - Four Sets By Example
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76List of Set Theory Laws
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77Identity Laws
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78Idempotent laws
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79Domination Laws
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80Complementation Laws
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81Commutative Laws
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82Distributive Laws
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83Absorption Laws
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84Associative Laws
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85De Morgan's Laws
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86Double Negation Law
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87Understanding Jaccard Similarity
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88Jaccard Similarity - Example 1
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89Jaccard Similarity - Example 2
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90Jaccard Similarity - Example 3
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91Application of Set Theory in Machine Learning
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92Text Classification and Sentient Analysis - Using Set Theory
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93Dice Coefficient
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94Tversky Index in Recommender System
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95Python for Set Theory
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96Python for Set Theory II - Multiple Sets
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97CODE: Python for Set Theory
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You can view and review the lecture materials indefinitely, like an on-demand channel.
Can I take my courses with me wherever I go?
Definitely! If you have an internet connection, courses on Udemy are available on any device at any time. If you don't have an internet connection, some instructors also let their students download course lectures. That's up to the instructor though, so make sure you get on their good side!
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