Complex Mathematical Formulas
Tan x tan alpha harr x alpha kpi k in zz.
Complex mathematical formulas. As it is virtually impossible to list all the symbols ever used in mathematics only those symbols which occur often in mathematics or mathematics education are included. Cos a b cos a xx cos b sin a xx sin b. S s s s s length of one side. Complex number z a bi conjugate bar z a bi symmetry z a bi equality a bi c di a c and b d.
Complex number maths formulas. Since the renaissance every century has seen the solution of more mathematical problems than the century before yet many mathematical problems both major and minor still remain unsolved. The euler product formula. The symbol on the left is an infinite sum while the one on the right is an infinite product.
The following list of mathematical symbols by subject features a selection of the most common symbols used in modern mathematical notation within formulas grouped by mathematical topic. Addition a bi c di a c b d i subtraction a bi c di a c b d i multiplication a bi times c di ac bd ad bc i. Perimeter of a square. Where e is the base of the natural logarithm i is the imaginary unit and cos and sin are the trigonometric functions.
Euler s formula named after leonhard euler is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function euler s formula states that for any real number x. There are millions of formula to solve the different problems. Tan a b tan a tan b 1 tan a xx tan b difference formulas. Discount list price discount rate sale price list price discount discount rate discount list price sales tax price of item tax rate interest principal rate of interest time tips cost of meals tip rate commission cost of service commission rate geometry formulas.
Cos a b cos a xx cos b sin a xx sin b. Mathematical equations from the formulas of special and general relativity to the pythagorean theorem are both powerful and pleasing in their beauty to many scientists. A complex number is a number that can be expressed in the form a bi where a and b are real numbers and i represents the imaginary unit satisfying the equation i 2 1 because no real number satisfies this equation i is called an imaginary number for the complex number a bi a is called the real part and b is called the imaginary part the set of complex numbers is denoted using the. Here are experts.
Theorized by leonhard euler once again this equation relates the natural numbers n 1 2 3 4 5 etc on the left side to the prime numbers p 2 3 5 7 11 etc on the right side. The formula is the concise way to express the information in a symbolic way. Below given are all maths formulas math equations mathematical function and theorems for you to solve your complex mathematical finance science etc problems.