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Variables and Assignment in Python What is a Variable? A variable is a name that refers to a value stored in memory. It acts as a reference, not a storage container. Unlike other languages, Python variables do not store values but rather point to objects in memory. Example: x = 10 # x refers to […]
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Bivariate Continuous Random Variables Introduction A bivariate continuous random variable extends the concept of a single continuous random variable to two dimensions. It describes situations where two variables vary continuously and have some form of dependence or interaction. Understanding these concepts is fundamental in probability theory, statistics, and data science. Objectives Define bivariate continuous
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Bivariate Discrete Cumulative Distribution Function Data Science and A.I. Lecture Series Author: Bindeshwar Singh Kushwaha Institute: PostNetwork Academy Joint and Marginal Distribution Functions for Discrete Random Variables Two-Dimensional Joint Distribution Function The distribution function of the two-dimensional random variable \((X, Y)\) for all real \(x\) and \(y\) is defined as: \[ F(x,y) = P(X \leq
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Bivariate Discrete Random Variables Data Science and A.I. Lecture Series By Bindeshwar Singh Kushwaha, PostNetwork Academy Definition Let \( X \) and \( Y \) be two discrete random variables defined on the sample space \( S \) of a random experiment. Then, the function \( (X, Y) \) defined on the same sample space
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Definition: Continuous CDF A continuous random variable can take an infinite number of values in a given range. The Probability Density Function (PDF) \( f(x) \) describes the likelihood of \( X \) falling within a small interval. The Cumulative Distribution Function (CDF) is given by: \[ F(x) = P[X \leq x] = \int_{-\infty}^{x} f(t)
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Learn about Ordinary Least Squares (OLS) Regression with a step-by-step mathematical derivation, visualization, and real-world dataset example. Understand how to compute regression coefficients, fit the best line, and make predictions using the OLS method. Perfect for students, researchers, and data science enthusiasts!
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Definition of Differential Equations A differential equation is an equation that involves one or more derivatives of an unknown function. Example: \[ \frac{dy}{dx} = 3x^2 \] Types of Differential Equations Ordinary Differential Equations (ODEs): \( \frac{dy}{dx} + 2y = x^2 \) Partial Differential Equations (PDEs): \( \frac{\partial u}{\partial x} + \frac{\partial u}{\partial y} = 0
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Learn about Tokens in Python, the fundamental building blocks of Python programming. Explore keywords, identifiers, literals, operators, and punctuators with detailed explanations. Perfect for beginners in data science and AI
Learn about Python expressions with this comprehensive guide! Understand how operators, precedence, and evaluation rules work with real examples. Perfect for beginners and developers. Explore now
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Introduction to Vectors A vector is a mathematical object that has both magnitude and direction. Vectors are essential in physics, engineering, and mathematics. They can be represented in different dimensions, such as real number space \(\mathbb{R}^n\) and complex number space \(\mathbb{C}^n\).
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