Eigenvectors and eigenvalues

[Michael G. Koopman]

Bonnie,

You'll have to wrath on your own _V_ banter booking on words play, but:

> After reading a couple of very helpful posts, this is beginning to make 
> sense.  You see, the idea of a "vector" frightens and confuses me.  But 
> I'm getting over it the more I read.

N any case, rarely fried hiers breath buzzwords from books who inhibit
uses of public phones, moreso than any practical use, like to tell
mommy we will be late 'cause one of Bozo's boys assumes date rape was
a good thing for mothers of inventive gaza strippers, or some such rot
spewed by pernicious hounds of basket case bonnet ville 5000 lands.
Such riotous riders layed by low land a'sighs, vectors are simple
things, and little else need be understood to comprehend most all of
mathematical physics and natural science formulations rosey fine.

Vectors have magnitude and direction, as earlier noted.  So a path,
rather than a point is indicated.  A vector must be located to be
determined, or to identify which point to which point it specifies.
Vectors can be specified by unit vector notation for mapped coordinate
spaces, normally, i with a ^ (hat) above it, (\ihat in \TeX), and
j-hat and k-hat unit vectors corresponding to X, Y and Z coordinates.
TeX is the lingo of math pinheads.  Unit vectors are one basic unit in
magnitude (i.e. length), recognize that each unit direction need not
use the same unit magnitude for orthogonal spaces.  If the unit vector
of an X,Y,Z space are not equal magnitudes, then the nifty keen little
polar to rectangular buttons on your calculator ain't going to pop up
the right answers.  Polar notation indicates a rotation from (or
through) one principal axis to another axis is specified as an angle
which determine a vector's direction, or heading, and in addition a
magnitude is specified.  The sine function relates polar(2D) and
spherical(3d) "radial" vectors to normalized orthogonal rectangular,
or Cartesian space (not exactly the philosophical concept relevant to
Cartesian theaters).

By attaching a notion of spin, charge, time sense, or vortex to a
vector (spinors) most forms of physical models are covered (cover is a
topology concept, BTW).  This lifts-off into dynamo momentous and
lovely concerns of whether your colors are flown rightly and other
dual ying yang sty go home boiz B.S. therein correspondent.  A vortex
is like a whirlpool, or maelstrom, but just twisting on a path.  Topos
is much more fun than analytical but both is' a tassle, metro'd or
sans el lee not.

Mike Koopman internet: koopman at ctc.com phone: +1-814-269-2637