Axiom States

Some articles on axioms, axiom states, axiom:

Uniform Space
... surroundings)) that satisfies the following axioms if U is in Φ, then U contains the diagonal Δ = { (x, x) x ∈ X } ... The first axiom states that each point is U-close to itself for each entourage U ... The third axiom guarantees that being "both U-close and V-close" is also a closeness relation in the uniformity ...

Famous quotes containing the words states and/or axiom:

    Our citizenship in the United States is our national character. Our citizenship in any particular state is only our local distinction. By the latter we are known at home, by the former to the world. Our great title is AMERICANS—our inferior one varies with the place.
    Thomas Paine (1737–1809)

    It’s an old axiom of mine: marry your enemies and behead your friends.
    —Robert N. Lee. Rowland V. Lee. King Edward IV (Ian Hunter)