User:Gordon Stangler

Hello. I am an unemployed white male whom is interested in physics and mathematics. I have edited and created a lot of pages here on Wikipedia, but the vast majority of said creations is as an anon user, since I am in general too lazy to sign in.

My pride and joy is the page on Perfect Squares. ^_^
 * The list of unsolved problems is also useful.

I guess I consider myself a WikiGnome/WikiFaerie. All is good.

I hold research interests in Black Hole Thermodynamics, Quantum Field Theories, Four dimensional wakes and waves, Cosmological/ Big Bang theories, Prime numbers, the Navier-Stokes equations, Dirichlet L functions, Dirichlet characters with generalized Zeta functions, the Birch and Swinnerton-Dyer Conjecture, and faster then light travel. Limits, epsilon-delta proofs, and Goldbach's conjecture are the bane of my existence.

Very Quick Introduction to Sets
A set is a collection of mathematical objects, often referred to as elements. For example,
 * A = {2,3,5,7,11)

is a set, as is
 * B = (blue, purple, green).

Examples of Sets
$$\mathbb{P}$$, the set of all prime numbers, $$\mathbb{N}$$, the set of all natural numbers, $$\mathbb{Z}$$, the set of all integers, $$\mathbb{R}$$, the set of all real numbers, and $$\mathbb{C}$$, denoting the set of all complex numbers. We also have the empty set, which has no elements in it; and the null set, which contains only the null element ø.

Membership
To say an element 'm' is in 'M', we use $$\in.$$
 * $$4\in \mathbb{N}$$, and $$4\notin \mathbb{P}$$

Other

 * $$\forall$$ The upside down A is read 'for all'.
 * $$\exists$$ The backwards E is read 'there exists'.
 * $$\forall x\in \mathbb{N} < 100$$, x has two or fewer digits.
 * $$\exists x \forall y [x < y]$$ means there is some element x, less then all the elements y in our set. This is of course the definition of lower bound.

Boolian Logic

 * T = true, F = false
 * $$\land$$ = AND (logical conjunction)
 * $$\lor$$ = OR (logical disjunction)
 * $$\rightarrow$$ = IF-THEN
 * $$\iff$$ IFF (IF AND ONLY IF), equivalent to XNOR (exclusive nor).