On Thursday 8 May 1930, the train from Moscow pulled into Brussels’ Gare du Nord. Station officials fought to control a huge and excited crowd that surged forward, eager to catch a glimpse of their hero. As the big black engine drew to a halt, the carriage doors opened and a familiar quiff was spotted…

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## The evolvement of Navier-Stokes Equation: Newton to Prandtl

The Navier-Stokes equation evolved over centuries of what we see today. Following is the chronological list of how the Navier-Stokes equation evolved in time: 17th century – 1687 – Newton (Mechanics, 3 laws of motion, Calculus(helped in the early concept of inviscid flow) 1738 – Bernoulli’s Equation – Pressure differential is the implied acceleration. 1740’s…

## Tensor – Basic Notation

Tensor calculus is an organized expression, which contains sophisticated geometric insights. Combines geometric and analytical perspectives. Enables use of the co-ordinate system without the loss of geometric insight. Provides a framework for establishing equations valid in all coordinate systems. Algorithmic. Provides a language that is concise and powerful. Based on a handful of operations. Summation…

## Singular Value Decomposition with Python Script

A short blog on discovering the Singular-Value Decomposition (SVD) method for matrix factorization. Singular-Value Decomposition The Singular-Value Decomposition, or SVD for short, is a matrix decomposition method for reducing a matrix to its constituent parts in order to make certain subsequent matrix calculations simpler. A = U . Sigma . V^T where, A is the…