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# Tag Archives | integral calculus

## A Gentle Introduction to the Jacobian

In the literature, the term Jacobian is often interchangeably used to refer to both the Jacobian matrix or its determinant.  Both the matrix and the determinant have useful and important applications: in machine learning, the Jacobian matrix aggregates the partial derivatives that are necessary for backpropagation; the determinant is useful in the process of changing […]

## Differential and Integral Calculus – Differentiate with Respect to Anything

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 of calculus, which linked integrals to derivatives. With the discovery of integrals, areas and volumes could thereafter be studied.  Integral calculus is the second half of the […]