Editing Equations, Formulas and Algorithms (section)

== Formulas ==

Formulas are mathematical expressions used to calculate values based on given inputs. They provide concise representations of mathematical relationships and are commonly used for computation and prediction in various domains, including physics, finance, and statistics.

=== Definition ===
A formula is a mathematical expression that computes a value based on specified inputs, such as variables and constants. Formulas may involve arithmetic operations, functions, and mathematical symbols, providing a systematic way to perform calculations and solve problems.

=== Usage ===
Formulas are employed to compute quantities, express relationships, and make predictions in diverse fields. They serve as tools for analyzing data, modeling physical phenomena, and designing systems. Formulas facilitate the solution of mathematical problems and enable decision-making in scientific, engineering, and financial contexts.

=== Fields of Application ===
Formulas find application in various fields, including:
* [[Physics]]: Calculating forces, energy, motion, and electromagnetic phenomena.
* [[Finance]]: Estimating compound interest, present and future values, and investment returns.
* [[Statistics]]: Determining probabilities, means, variances, and correlations in data analysis.
* [[Engineering]]: Designing structures, circuits, systems, and control algorithms.
* [[Mathematics]]: Expressing mathematical relationships, solving equations, and deriving theorems.

=== Examples ===
Here are some examples of formulas used in different fields:
# Compound Interest Formula: <math> A = P(1 + \frac{r}{n})^{nt} </math>
# Pythagorean Theorem: <math> c^2 = a^2 + b^2 </math>
# Quadratic Formula: <math> x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}} </math>
# Area of a Circle Formula: <math> A = \pi r^2 </math>
# Binomial Distribution Formula: <math> P(X=k) = \binom{n}{k} p^k (1-p)^{n-k} </math>

Formulas provide efficient and precise means of expressing mathematical relationships and performing calculations across various disciplines.