General Concepts 1 min read
power density spectrum
(Sometimes called power spectrum.) A measure of the contribution to the total variance from a given frequency band in the generalized Fourier representation of…
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Bayes’ Theorem
Bayes’ Theorem is a simple mathematical formula used for calculating conditional probabilities. It figures prominently in subjectivist or Bayesian approaches to epistemology, statistics, and…
General Concepts 4 min read
Discrete and Continuous Random Variables
A variable is a quantity whose value changes. A discrete variable is a variable whose value is obtained by counting. Examples: number of students present…
General Concepts 10 min read
Quantum mechanics
Quantum mechanics is the branch of physics relating to the very small. It results in what may appear to be…
General Concepts 14 min read
Oscillations and Waves
Oscillatory Motion Motion of a pendulum is oscillatory. The pendulum bob rises while it swings to the right, then falls,…
General Concepts 5 min read
Laplace transform
Laplace transform is named in honour of the great French mathematician, Pierre Simon De Laplace (1749-1827). Like all transforms, the Laplace…
General Concepts 4 min read
Matrices
Introduction to Matrices What is a Matrix? A matrix is a rectangular arrays of numbers, symbols, or expressions, arranged in…
General Concepts 3 min read
Vector calculus
In Mathematics, Calculus is a branch that deals with the study of the rate of change of a function. Calculus…
General Concepts 2 min read
Integral calculus
Integral calculus, Branch of calculus concerned with the theory and applications of integrals. While differential calculus focuses on rates of change, such as slopes of…
General Concepts 2 min read
Applications of Differentiation
Linear Approximation A linear approximation is an approximation of a general function using a linear function. In mathematics, a linear…
General Concepts 3 min read
Infinite series
Infinite series, the sum of infinitely many numbers related in a given way and listed in a given order. Infinite series are…