Mathematical
Facts:1) phi=(1+sqr(5))/2=sqr(1+sqr(1+sqr(1+...
2) S(d(f(x),x),x,a,b)=f(b)-f(a) and d(S(f'(t),t,a,x),x)=f(x)
3) f(x) is said to
which
converge
to f(a) as x goes to a if and only if or
all e>0 there exists d>0 such that 0<abs(x-a)<d implies
abs(f(x)-f(a))<e
4) A compact space is both closed and bounded.
5) 1+e^-(i*pi)=0
6) {x_n} is Cauchy if and only for all e>0 there exists an N
that
is an element of the natural numbers such that all n,m>=N implies
p(x_n,x_m)<e
7)
"Proof
is an idol
before the mathematician tortures
himself." -Sir Author Engleton
(Note: This one is just an opinion.)