# Study Notes

## The Area of a Circle

If you are aware of elementary facts of geometry, then you might know that the area of a circle with radius $R$ is $\pi R^2$ . The radius

## Best Time Saving Mathematics Formulas & Theorems

Formulas are the most important part of mathematics and as we all know one is the backbone of the latter. Considering there are thousands of mathematical formulas to help people

## Interesting Facts about Blood and Blood Cells

“Blood Facts” – seriously? Like all humans who have red colored blood, there are few organisms which have varying blood colors. Spiders and octopus have blue color blood, cockroaches have

## How to convert Integral Equations into Differential Equations?

Introduction In earlier parts we discussed the basics of integral equations and how they can be derived from ordinary differential equations. In second part, we also solved a linear integral equation

## Definitions in Functional Analysis

Linear Space or Vector Space over a field K Definition: The linear space over a field K is a non-empty set along with a function \$+ : X \times X

## Symmetry in Physical Laws

‘Symmetry’ has a special meaning in physics. A picture is said to be symmetrical if one side is somehow the same as the other side. Precisely, a thing is symmetrical