User:Spin~enwiki


 * In mathematics, a Grothendieck universe is a set with the following properties:


 * 1) If x &isin; U and if y &isin; x, then y &isin; U.
 * 2) If x,y &isin; U, then {x,y} &isin; U.
 * 3) If x &isin; U, then P(x) &isin; U.  (P(x) is the power set of x.)
 * 4) If $$\{x_\alpha\}_{\alpha\in I}$$ is a family of elements of U, and if I &isin;U, then the union $$\cup_{\alpha\in I} x_\alpha$$ is an element of U.

A Grothendieck universe is meant to provide a set in which all of mathematics can be performed. (In fact, it provides a model for set theory.) As an example, we will prove an easy proposition...

Me
$$\mathrm{i} \hbar \frac{\partial}{\partial t} \left| \psi_n \left(t\right) \right\rangle = E_n \left|\psi_n\left(t\right)\right\rang. $$

Fields of Interest
Mathematics, Quantum Mechanics, Quantum Cryptography

Very interested in Lost (TV series)

People that I admire
Alexander Grothendieck

Richard Feynman

Paul Auster

Stephen Hawking

Terence Tao

Kurt Gödel

Stubs
User:Spin/Gabor_Analysis