Quantum numbers

Quantum numbers are a set of numbers that describe the state of an electron in an atom or molecule. There are four quantum numbers: Together, these four quantum numbers provide a unique set of parameters that describe the state of an electron in an atom or molecule. What is Required Quantum numbers In quantum mechanics,…

Chemical formulae

Chemical formulae are representations of the composition of a substance using symbols for the elements and numerical subscripts to indicate the ratio of atoms or ions present in the substance. Chemical formulae are used to describe the chemical compounds and molecules that make up all matter. The symbols used in chemical formulae are derived from…

Dot and cross products

Dot Product: The dot product of two vectors is a scalar quantity that measures the degree of similarity between them. The dot product of two vectors A and B is defined as: A · B = |A| |B| cos(θ) where |A| and |B| are the magnitudes of the vectors A and B, respectively, and θ…

Indefinite integrals of standard functions

Sure, here are some common indefinite integrals of standard functions: Note that there are many more integrals of standard functions, but these are some of the most common ones. Also, the notation $\int f(x) dx$ represents the indefinite integral of the function $f(x)$ with respect to $x$, and $C$ is the constant of integration. What…

Tangents and Normal

In differential calculus, the concept of tangents and normals is closely related to the idea of derivatives. The derivative of a function at a point gives the slope of the tangent line to the curve at that point. The derivative is also used to find the equation of the tangent line to the curve at…

Formulae involving multiple and sub-multiple angles

Here are some of the commonly used trigonometric formulas involving multiple and sub-multiple angles: These formulas can be used to simplify trigonometric expressions, solve equations, and prove identities. What is Required Formulae involving multiple and sub-multiple angles Here are some of the commonly used required trigonometric formulas involving multiple and sub-multiple angles: These formulas can…