Yes, these graphs are much better. Thanks.

Reading through it line by line, it's hard to pinpoint what parts give me problems. I know how to read an algebraic equation, but it takes me a minute or so to think about what's being expressed in one sentence, and then another minute to think about the next sentence or equation, by which time I've forgotten the previous one. I don't know what "vector" or "scalar" mean (I'm sure I did at one time, for as long as it took me to pass a test in high school, after which they were gone forever), or "anisotropically", "perihelion", "aphelion", etc. Or "celestial sphere." I did grasp the general gist that planet temperature is a function mostly of distance from the sun, but all the stuff about emissivity/absorptivity went completely over my head.


--- On Sun, 2/15/09, Bob Armstrong <bob@cosy.com> wrote:

From: Bob Armstrong <bob@cosy.com>
Subject: Re: LoL special : Warm Gray Balls .
To: "Jim Lesczynski" <lesczynski@yahoo.com>
Date: Sunday, February 15, 2009, 7:25 PM
I've figured out enough of Open Office to create the
included graphs . Will
they do ?

Hmm , and you're home schooling ?  I'd be
interested to know what parts
give you problems . I think my annotation of the central
equation is pretty
good at laying out the components . you mainly need to know
that pie are
square , and the area of a sphere is 4 pi r square . (
never realized
before working on this that the area is the same as that of
4 circles drawn
on the surrounding cube . ) I've read thru the ( T ^ 4
) derivation a few
times and felt I understood it at the time . The derivation
of the sb
constant which had got like ( 56 pi ^ 5 ) in it , I have
never followed all
the way thru . It cancels out anyway .

I guess maybe I should consider .5 - .6 better than my
average . But I did
work quite hard to make things as simple as possible .

On Sat, 14 Feb 2009 22:28:55 -0800 (PST), Jim Lesczynski
<lesczynski@yahoo.com> wrote:

Thanks, I can work with this, but the graph will never

show up in print.

Is there anyway you can render it in black and white

or grayscale with

really thick lines (maybe one solid line and one

dashed line)?

To be honest, I understood about 50-60% of the column,

but the parts I
did

understand were quite good. :-) The upside is I gave

it a very light edit

for punctuation and spelling only, because much of the

substance was lost

on me.

Jim

-- Bob Armstrong -- www.CoSy.com -- 719-337-2733 --
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