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.
Missouri University of Science & Technology Math 209
editVery Quick Introduction to Sets
editA 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
edit, the set of all prime numbers, , the set of all natural numbers, , the set of all integers, , the set of all real numbers, and , 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
editTo say an element 'm' is in 'M', we use
- , and
Other
edit- The upside down A is read 'for all'.
- The backwards E is read 'there exists'.
- , x has two or fewer digits.
- 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
edit- T = true, F = false
- = AND (logical conjunction)
- = OR (logical disjunction)
- = IF-THEN
- IFF (IF AND ONLY IF), equivalent to XNOR (exclusive nor).
F | F | F | F | T | T |
F | T | F | T | F | T |
T | F | F | T | F | F |
T | T | T | T | T | T |