|
|
| Sun, November 22, 2009 |
|
page #51 back nextThe Left Column
Midnight
sun
The midnight sun
that glows on high
of your eyes
and skies of blue
midnight blue
that midnight sun
lights the darkness
with it's darkness
of midnight blue.
That is you.
You wrestle with
those memories of love
that was so true.
The people who you
drove away
were you
in some other life,
some other time
some view
of moonlight
on the high oaks
come through
it is you.
The midnight sun
sweeps the sky clouds
past the full moon.
That sun can not
be seen.
The trees move
in that sudden breeze.
The sky opens up and
rain comes all at once.
The memories of times
past are strongest
with the sudden rain
and the empty house.
The poles on the hill
are not visible in the
downpour, each a
tribute to a friend
who are those friends?
those friends are you
in some past life
when the pain of
lonliness, that sad place
when the drugs are gone,
when that pain of
lonli nodding off . . .
We are survivors,
you and me.
Saying that there is
love
makes no difference
to anyone.
I would come and
rescue you from that
midnight sun
if it really wasn't
burning so bright
just to make you see.
And when you see
it's light
it will show you
what you need to see.
How could I know
what that is?
I can not rescue
you
from yourself.
You will
rescue yourself.
|
back next |
|
|
|
|
page #139 back nextmusic, math,
and the human ear
To me math and music and the human ear
were the keys to my 'getting' mathematics.
Once I learned about the s-plane,
and time to frequency domain transformations,
then it all made a lot of sense to me.
I could hear how frequencies sound.
I could see the time domain equation.
I do the transformation and then see
the s-plane interpretation.
It seems to me that if we teach
frequency domain at the same time
as we teach time domain, then kids
will just get math a lot better. The
frequency domain is where everything
really happens. Time Domain equations
are a creation of the human mind.
Frequencies can be heard. We can see
them on an oscilloscope. We can not see
'time' on a oscope. We know that the
length across the screen is a set period.
But when we see the frequency show up on
a spectral graph and we hear it. . . we get
real and visual confirmation of mathematical
concepts.
We can map frequencies to a string on a guitar or
on a note on a keyboard. A time domain
equation is a fantasy of mathematics
because it exists from + to - infinity.
Where as a frequency can be heard and we
can see what it does to the air or
to electricity. And so to get a child
into math, tell the child about how
frequency is a better way to think about
signals than the Cartesian time domain
way of thinking about it.
I rewrote this a little (From when I wrote
it as a blog post many years ago) because
I tend to blog very quickly and don't
spend a lot of time with each passage.
I had said 'Time is a Creation of the
Human Mind' when I meant something more
like 'Cartisian timebased graphs' are a
creation of the human mind. The time/displacement
graph of a sine wave only show a small part.
The the equation says t from - to + infinity.
IE: sin(t)
The s-plane graph is much more intuitive.
And then, the z-transform, which is the mathematics
of discretization (ie how digital computers work)
give one great insight into how computers behave,
and the niquist effects.
|
back next
|
| Sun, November 22, 2009 |
|
page #66 back next
The Right Column Season of Wither
Hackcident Today on the radio
Howie Carr called the
hit-and-run
alledged by a State
Senator a 'hackcident'.
Very Funny.
Nov 17, 2009
Tree,
by Conn. river,
in NH,
near VT
|
back next |
|
|
|
