# Study Notes

Study Notes on Math, Physics and Chemistry

## All 9 Types of Chemical Reactions

Everything is the result of chemical reactions whether you cry or burn wood or dissolve sugar. No process is possible without any chemical reactions occurring in them. Chemical reactions are the basis of each and every activity going on around us. Although there are innumerable activities that involve a chemical

## 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 is actually the measure(length) of a line joining the center of circle and any point on the circumference of the

## 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 develop analytical approach and solve problems easily — there are some that go beyond. Some formulas aren’t just timesaving but

## 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 white/colorless blood, grasshopper, leeches, and some varieties of earthworm have green color blood and so on. Apart from these, there

## 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 using trial method. Now we are in a situation from where main job of solving Integral Equations can be started. But before

## 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 $+ : X \times X \to X$ called linear/vector addition  (or just, ‘addition‘) and another function $\cdot : K \times X \to X$ called

## 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 if one can subject it to a certain operation and it appears exactly the same after the operation. For example,

## Macrostates and Microstates and their relations with Thermodynamic Probability

In this article we will define what are Macrostates and Microstates in Statistical Physics with examples and illustrations. Consider some (4, say) distinguishable particles. If we wish to distribute them into two exactly similar compartments in an open box, then the priori probability for a particle of going into any

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