Types of Numbers
n=2k+1
odd
This discipline is one of the oldest and most popular, studing the integers
Number Theory
A mapping of elements such that each element in the domain maps to exactly one element in the range
function
The denotation of some kind of relationship between two objects of a set that may not always be true
Relation
The most prestigious undergraduate Mathematics Competition
Putnam
The count of objects arraigned in an equilateral triangle
Triangular Number
This discipline is concerned with studying orders with binary relations
Order Theory
A natural number greater than 1 that cannot be written as the product of two smaller natural numbers
Prime Number
A function from a set to itself
Operation
The AMC is a popular mathematical competition for students k-12, so much so that we had a small team in high school and 3 people in this group chat have competed in at least one of these events. what organization hosts this competition
MAA
A number such that the sum of its proper divisors, i.e. the divisors other than itself, is greater than the number itself
Abundant Number
Commonly referred to as the mathematics of counting
Combinatorics
A prime that can be written as 2ⁿ−1 where n is an integer
Mersenne Prime
An element p of a commutative ring R is said to be _____ if it is not the zero element or a unit and whenever p divides ab for some a and b in R, then p divides a or p divides b.
Prime Element
A competition where undergraduates compete on very open ended and research focused problems by solving these through the use of models
Mathematical contest in modeling
These numbers represent the complex numbers with only integer components
Gaussian Integers
This sub-discipline gives the study of non-linear dynamical systems its more well known name
Chaos Theory
A function that is infinetly differentiable is said to be
Simple
An element a of a set A such that for all elements of A t, a times t equals t
Multiplicative Identity
This competition named after a professor who passed in 2021 is hosted by the MAA north central section and aims to be more accessible than other competitions. Teams of up to three work together to solve the problems. Also The Cauchy Cauchy Coos placed 28th this year.
Jerry Heuer Competition
Despite being perfect 6 is also this type of number as a result of it's binary representation having an even number of 1s.
Evil
The discipline that deals with the reals, complexs and their functions, more commonly known from it's beginning, calculus
Analysis
A system for which a function describes a point's relation to time while accounting for the space around the point
Dynamical System
The number of elements in a set is known as the set's ___
order
Determine all positive integers n for which there exists positive integers a, b, and c satisfying 2an+3bn=4cn.
n=1