Kronecker’s delta is defined as 0, if i ≠ j δij = 1, if i = j For example, δ12 = 0, whereas δ33 = 1. Kronecker’s delta is a function between two variables, which are integers. The function is 1 if the two variables are the same or equal, and the function is zero…
Infinity means something which does not have a limit. The infinity sign ∞ is called a lemniscate. The sign was devised by an English mathematician John Wallis in 1955 and was named lemniscus, meaning a ‘pendant ribbon’, by mathematician Jacob Bernoulli in 1694. The symbol is designed in two dimensions as a device known as the…
Cusec is a method of measuring the flow rate of liquids. One cusec is 1 cubic foot per second. It means a volume of water 1 foot high, 1 foot wide and 1 foot long travelling a distance of 1 foot in 1 second. One cusec is equivalent to 0.028317 cubic metre per second. Mostly…
A spherical triangle is formed on the surface of a sphere by three arcs. When the magnitudes of the three angles are added, they have a value that is greater than 180°, which is the value for the sum of three angles of a normal triangle.
In every circle, the circumference bears a constant ratio to its diameter. This constant is a transcendental number, denoted by the Greek alphabet π (Pi). Pi is approximately equal to 22/7 or 3.14159. Pi Day is observed on July 22 (or 22/7 in day/month date format). Pi Day is also observed on March 14 (3.14 in…
Calculus is a branch of mathematics which studies ‘change’. Accordingly, it deals with limits, derivatives, functions and indefinite series that explain ‘change’. Isaac Newton and Gottfried Wilhelm Leibnitz independently invented calculus. Newton used calculus fundamentally to arrive at the universal law of gravitation, and then to solve the problem of planetary motion, the shape of the surface…
