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Differential Evolution from Scratch in Python
Tweet Share Share Differential evolution is a heuristic approach for the global optimisation of nonlinear and non- differentiable continuous space functions. The differential evolution algorithm...
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What is Calculus?
Tweet Share Share Last Updated on June 19, 2021 Calculus is the mathematical study of change. The effectiveness of calculus to solve a complicated but continuous problem lies in its ability to slice...
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Key Concepts in Calculus: Rate of Change
Tweet Share Share Last Updated on June 19, 2021 The measurement of the rate of change is an integral concept in differential calculus, which concerns the mathematics of change and infinitesimals. It...
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Calculus in Machine Learning: Why it Works
Tweet Share Share Last Updated on June 21, 2021 Calculus is one of the core mathematical concepts in machine learning that permits us to understand the internal workings of different machine learning...
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What you need to know before you get started: A brief tour of Calculus...
Tweet Share Share We have previously seen that calculus is one of the core mathematical concepts in machine learning that permits us to understand the internal workings of different machine learning...
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A Gentle Introduction to Limits and Continuity
Tweet Share Share Last Updated on June 25, 2021 There is no denying that calculus is a difficult subject. However, if you learn the fundamentals, you will not only be able to grasp the more complex...
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A Gentle Introduction to Evaluating Limits
Tweet Share Share The concept of the limit of a function dates back to Greek scholars such as Eudoxus and Archimedes. While they never formally defined limits, many of their calculations were based...
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A Gentle Introduction to Function Derivatives
Tweet Share Share The concept of the derivative is the building block of many topics of calculus. It is important for understanding integrals, gradients, Hessians, and much more. In this tutorial, you...
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A Gentle Introduction to Derivatives of Powers and Polynomials
Tweet Share Share One of the most frequently used functions in machine learning and data science algorithms are polynomials or functions involving powers of x. It is therefore, important to understand...
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A Gentle Introduction to Slopes and Tangents
Tweet Share Share The slope of a line, and its relationship to the tangent line of a curve is a fundamental concept in calculus. It is important for a general understanding of function derivatives. In...
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Derivative of the Sine and Cosine
Tweet Share Share Many machine learning algorithms involve an optimization process for different purposes. Optimization refers to the problem of minimizing or maximizing an objective function by...
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The Power, Product and Quotient Rules
Tweet Share Share Last Updated on July 9, 2021 Optimization, as one of the core processes in many machine learning algorithms, relies on the use of derivatives in order to decide in which manner to...
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A Gentle Introduction to Indeterminate Forms and L’Hospital’s Rule
Tweet Share Share Indeterminate forms are often encountered when evaluating limits of functions, and limits in turn play an important role in mathematics and calculus. They are essential for learning...
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A Gentle Introduction to Continuous Functions
Tweet Share Share Many areas of calculus require an understanding of continuous functions. The characteristics of continuous functions, and the study of points of discontinuity are of great interest...
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Applications of Derivatives
Tweet Share Share Last Updated on July 16, 2021 The derivative defines the rate at which one variable changes with respect to another. It is an important concept that comes in extremely useful in...
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A Gentle Introduction to Multivariate Calculus
Tweet Share Share It is often desirable to study functions that depend on many variables. Multivariate calculus provides us with the tools to do so by extending the concepts that we find in calculus,...
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Differential and Integral Calculus – Differentiate with Respect to Anything
Tweet Share Share Integral calculus was one of the greatest discoveries of Newton and Leibniz. Their work independently led to the proof, and recognition of the importance of the fundamental theorem...
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A Gentle Introduction To Vector Valued Functions
Tweet Share Share Vector valued functions are often encountered in machine learning, computer graphics and computer vision algorithms. They are particularly useful for defining the parametric...
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A Gentle Introduction To Partial Derivatives and Gradient Vectors
Tweet Share Share Partial derivatives and gradient vectors are used very often in machine learning algorithms for finding the minimum or maximum of a function. Gradient vectors are used in the...
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A Gentle Introduction To Gradient Descent Procedure
Tweet Share Share Gradient descent procedure is a method that holds paramount importance in machine learning. It is often used for minimizing error functions in classification and regression problems....
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