Math Formulas

Thinking Operations

General Information

Number theory

={ 2, 3, 5, 7, }
a|m n·a=m

Binomial theorem

Combinatorics

Pn=n!
Cnk=(nk)
V n k = n ! ( n k ) !

Sets

AB ; AB ; A B
ρAxA

Logic

Graph Theory

Algebra

Polynomials

Progressions

a n = a a + ( n 1 ) d
a n = a 1 q n 1

Logarithm

logab=c ac=b
l o g a x = l o g b x l o g b a

Exponents

a·a·a=a3

Roots

an=b bn=a

Proportionality

Inequalities

fx<gx

Equations

Complex numbers

Kamatni račun

Matrices

Geometry

Trigonometry

Two-dimensional geometric shapes

Three-dimensional geometric shapes

Vectors

a · b = | a | | b | c o s α
c=a×b

Analytical Geometry 2D

x 2 + y 2 = r 2
y = m x + b
x2a2-y2b2=1
x2a2+y2b2=1
y2=2px

Analytical Geometry 3D

ax+by+cz+d=0

Mathematical analysis

Important functions

Function Transformations

Limits

limxx0fx=a

Dervation

( f · g ) = f · g ± f · g

Integration

fxdx=Fx+C
c f ( x ) d x = c f ( x ) d x
abfxdx=Fb-Fa

Probability and Statistics

Probability

Statistics

x=x1+x2+x3+....+xnn