User:Gordon Stangler

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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.

1 Missouri University of Science & Technology Math 209
2 Very Quick Introduction to Sets
3 Examples of Sets
4 Membership
5 Other
6 Boolian Logic
7 Missouri University of Science & Technology Physics 322

[edit] Missouri University of Science & Technology Math 209

[edit] 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).

[edit] 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.

[edit] Membership

To say an element 'm' is in 'M', we use $\in.$

$4\in \mathbb{N}$ , and $4\notin \mathbb{P}$

[edit] 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.