running
the shadow comes closer
running
like a ploom extending to infinity
walking
it peers at me with scalding eyes
walking
I turn to face it
sitting
it opens itslef, I have nothing to fear
sitting
its bony fingers embrace me
studying
I am at robarts
the sadness
by, me
here's another poem
Sadness
it envelopes me
I sit in the corner waiting for it to come
it doesn't dissapoint
it never dissapoints
yet it is disappointing
I wrote two poems, that means I am a poet. Next stop, pirate, puppet, poet, pauper, pawn and king, then I will be frank sinatra. and I will exude coolness like a cell exudes potassium thrhough active transport channels, or toxings though exocytosis.
here's some math, If U is a subspace (zero exists, closed under addition and scalar multiplication), then U=U-perp-perp
Proof
if X is in U and Y is in U perp, then U-perp =the set of all vectors Y s.t. XdotY=0. if Z is in U perp perp, then U perp is the set of all Z s.t. YdotZ=zero, but by definition U is any vector X (=Z) where YdotX(or Z)=zero (by commutativity of dot product). Therefore every element of Uperp perp is in U. Moreover, dim(U) + dim(U perp) = n and dim(U perp) + dim( U perp perp)=n, which implies that dim(U)=dim(Uperp perp). Since U perp perp is contained in U and has the same dimention as U, U perp perp equals U by the fundamental theorem of algebra.
confused?? it means that if you draw two lines at right angles to each other, the first line equals itself. see, math is useful, how else would I have known that that line was itself?