The Metric

**Dave L. Renfro**

Golden helmet wrote:

Where do I get a course that I can understand on
"metric spaces"

You might find these notes helpful. I think they're
rather nice for a beginner.

"Mathematical Methods of Engineering Analysis" by
Erhan Cinlar and Robert Vanderbei (2 February 2000)
http://www.princeton.edu/~rvdb/506book/book.pdf

Dave L. Renfro

**jowr.pi@gmail.com**

Dave Seaman wrote:
On Wed, 06 Sep 2006 12:36:55 GMT, Sorcerer wrote:

"Dave Seaman" wrote in message
...
| On Wed, 06 Sep 2006 10:48:43 GMT, Sorcerer wrote:
|
| "Bill Hobba" wrote in message
| ...
| |
| | "Golden helmet" wrote in message
| | ...
| | Where do I get a course that I can understand on "metric spaces"
| |
| |
| | Obviously that depends on how much math you know. Have you done say
| second
| | year university calculus?
|
| Calculus is not a prerequisite for metric spaces. Topology would be more
| helpful.
|
| Topology is not a prerequisite for metric spaces. Metric spaces are a
| special case of topological spaces.

I said it would be helpful, I did not say it was a prerequisite.
LEARN TO READ AND COMPREHEND, especially if you wish
to study mathematics, which is terse and precise.

Androcles...saying math is precise. Thats a good one.

What you said is completely wrong. A person who is struggling to
understand metric spaces will not find topology to be helpful.
Calculus would be more helpful.

Androcles is a moron. Pay no heed to him.

Calculus is important but I think the concepts gleanded from linear
algebra would be quite helpful. It wouldn't be fun to jump straight
from calculus into metric spaces. Too many new things at once.

--
Dave Seaman
U.S. Court of Appeals to review three issues
concerning case of Mumia Abu-Jamal.
http://www.mumia2000.org/

**Sorcerer**

"Dave Seaman" wrote in message
...
| On Wed, 06 Sep 2006 12:36:55 GMT, Sorcerer wrote:
|
| "Dave Seaman" wrote in message
| ...
| | On Wed, 06 Sep 2006 10:48:43 GMT, Sorcerer wrote:
| |
| | "Bill Hobba" wrote in message
| | ...
| | |
| | | "Golden helmet" wrote in message
| | | ...
| | | Where do I get a course that I can understand on "metric spaces"
| | |
| | |
| | | Obviously that depends on how much math you know. Have you done say
| | second
| | | year university calculus?
| |
| | Calculus is not a prerequisite for metric spaces. Topology would be
more
| | helpful.
| |
| | Topology is not a prerequisite for metric spaces. Metric spaces are a
| | special case of topological spaces.
|
| I said it would be helpful, I did not say it was a prerequisite.
| LEARN TO READ AND COMPREHEND, especially if you wish
| to study mathematics, which is terse and precise.
|
| What you said is completely wrong.

Ok, don't bother to read and comprehend, ****head. It's no skin off
my nose, **** off.
Androcles

**Sorcerer**

"Dave L. Renfro" wrote in message
oups.com...
| Sorcerer wrote:
|
| I said it would be helpful, I did not say it was a
| prerequisite. LEARN TO READ AND COMPREHEND, especially
| if you wish to study mathematics, which is terse
| and precise.
|
| Dave Seaman has been posting in sci.math (= net.math)
| since at least October 1983, unless there have been
| more than one Dave Seaman using a Purdue University
| e-mail account posting to sci.math. He may not be
| a research mathematician, but I don't think "if you
| wish to study mathematics" is an appropriate attack
| to use on him.
|
| Dave L. Renfro (sci.math newbie by comparison)

I've been posting to sci.physics.relativity since 1999, and I know
all too well who the ****heads who only want to flame are.
If he doesn't know the difference between "helpful" and "prerequisite"
then he can only an arsehole.
Androcles

**Dave L. Renfro**

Dave L. Renfro

Dave Seaman has been posting in sci.math (= net.math)
since at least October 1983, unless there have been
more than one Dave Seaman using a Purdue University
e-mail account posting to sci.math. He may not be
a research mathematician, but I don't think "if you
wish to study mathematics" is an appropriate attack
to use on him.

Sorcerer wrote:

I've been posting to sci.physics.relativity since 1999,
and I know all too well who the ****heads who only
want to flame are. If he doesn't know the difference
between "helpful" and "prerequisite" then he can only
an arsehole.

I figured something like this was going to happen,
and I imagine careful readers who have nothing better
to do today were expecting it, given the nature of
your original complaint with Dave Seaman and the way
I phrased my reply. I wasn't commenting on whether it
was appropriate to flame him, only that the particular
dig you directed towards him wasn't appropriate.

Dave L. Renfro

**Dave Seaman**

On Wed, 06 Sep 2006 16:55:58 GMT, Sorcerer wrote:

"Dave Seaman" wrote in message
...
| On Wed, 06 Sep 2006 12:36:55 GMT, Sorcerer wrote:
|
| "Dave Seaman" wrote in message
| ...
| | On Wed, 06 Sep 2006 10:48:43 GMT, Sorcerer wrote:
| |
| | "Bill Hobba" wrote in message
| | ...
| | |
| | | "Golden helmet" wrote in message
| | | ...
| | | Where do I get a course that I can understand on "metric spaces"
| | |
| | |
| | | Obviously that depends on how much math you know. Have you done say
| | second
| | | year university calculus?
| |
| | Calculus is not a prerequisite for metric spaces. Topology would be
more
| | helpful.
| |
| | Topology is not a prerequisite for metric spaces. Metric spaces are a
| | special case of topological spaces.
|
| I said it would be helpful, I did not say it was a prerequisite.
| LEARN TO READ AND COMPREHEND, especially if you wish
| to study mathematics, which is terse and precise.
|
| What you said is completely wrong.

Ok, don't bother to read and comprehend, ****head. It's no skin off
my nose, **** off.
Androcles

I read and comprehend that you think it is ok to take someone else to
task for mentioning calculus, because (in your words), "calculus is not a
prerequisite for metric spaces". No one had mentioned prerequisites up
to that point. I merely followed your example by pointing out that your
suggested replacement, topology, is likewise not a prerequisite, and is
even less suitable as preparation for metric spaces.

--
Dave Seaman
U.S. Court of Appeals to review three issues
concerning case of Mumia Abu-Jamal.
http://www.mumia2000.org/

**Sorcerer**

"Dave L. Renfro" wrote in message
oups.com...
| Dave L. Renfro
|
| Dave Seaman has been posting in sci.math (= net.math)
| since at least October 1983, unless there have been
| more than one Dave Seaman using a Purdue University
| e-mail account posting to sci.math. He may not be
| a research mathematician, but I don't think "if you
| wish to study mathematics" is an appropriate attack
| to use on him.
|
| Sorcerer wrote:
|
| I've been posting to sci.physics.relativity since 1999,
| and I know all too well who the ****heads who only
| want to flame are. If he doesn't know the difference
| between "helpful" and "prerequisite" then he can only
| an arsehole.
|
| I figured something like this was going to happen,
| and I imagine careful readers who have nothing better
| to do today were expecting it, given the nature of
| your original complaint with Dave Seaman and the way
| I phrased my reply. I wasn't commenting on whether it
| was appropriate to flame him, only that the particular
| dig you directed towards him wasn't appropriate.
|
| Dave L. Renfro

Unfortunately it is standard form within these newsgroups
to fight fire with fire, Dave. One either stands up to bullying
or one slams back. I escalate, I refuse to be intimidated.
The inevitable result is usually *plonk* and a refusal to
discuss, logically, one's own shortcomings, everybody
thinks they are correct... ESPECIALLY those that adhere
rigidly and faithfully to the gospel according to Einstein,
which is not mathematics at all, the man was a charlatan.
I am writing from sci.physics.relativity, hence the inference
is that the original poster "Golden helmet" requested where he
might find a course in metric spaces, he was interested
from a relativity PoV.

Hobba muttered
"Obviously that depends on how much math you know. Have you done say
second year university calculus?",

which is NOT obvious, and I replied "Calculus is not a prerequisite
for metric spaces. Topology would be more helpful."

Seaman puts a pompous, holier-than-thou knee-jerk opening flame in,
"Topology is not a prerequisite for metric spaces. Metric spaces are a
special case of topological spaces."

So I bite him back, it is that simple:

"LEARN TO READ AND COMPREHEND, especially if you wish
to study mathematics, which is terse and precise."

That is a minor retaliatory flame, it does not deny the
truth of his statement, with which I concur.

Seaman should learn to read and comprehend even if he has no desire
to learn mathematics, he is quite definitely in the wrong. I never
claimed topology was a prerequisite but it would be helpful,
undeniably.

IF Seaman wants a flame war, THEN he can have a flame war.
If he wishes to retract, then no harm, no foul.
Androcles

**Dirk Van de moortel**

**Sorcerer**

"Dave Seaman" wrote in message
...
| On Wed, 06 Sep 2006 16:55:58 GMT, Sorcerer wrote:
|
| "Dave Seaman" wrote in message
| ...
| | On Wed, 06 Sep 2006 12:36:55 GMT, Sorcerer wrote:
| |
| | "Dave Seaman" wrote in message
| | ...
| | | On Wed, 06 Sep 2006 10:48:43 GMT, Sorcerer wrote:
| | |
| | | "Bill Hobba" wrote in message
| | | ...
| | | |
| | | | "Golden helmet" wrote in message
| | | | ...
| | | | Where do I get a course that I can understand on "metric
spaces"
| | | |
| | | |
| | | | Obviously that depends on how much math you know. Have you done
say
| | | second
| | | | year university calculus?
| | |
| | | Calculus is not a prerequisite for metric spaces. Topology would
be
| more
| | | helpful.
| | |
| | | Topology is not a prerequisite for metric spaces. Metric spaces are
a
| | | special case of topological spaces.
| |
| | I said it would be helpful, I did not say it was a prerequisite.
| | LEARN TO READ AND COMPREHEND, especially if you wish
| | to study mathematics, which is terse and precise.
| |
| | What you said is completely wrong.
|
| Ok, don't bother to read and comprehend, ****head. It's no skin off
| my nose, **** off.
| Androcles
|
| I read and comprehend that you think it is ok to take someone else to
| task for mentioning calculus, because (in your words), "calculus is not a
| prerequisite for metric spaces".

That is correct.

| No one had mentioned prerequisites up
| to that point.

Hobba mentioned calculus, the guy wasn't asking about calculus.
Hobba wouldn't know what a metric was anyway, he's a ****head
relativist who thinks lengths change when you shine lights on
them.

we establish by definition that the ``time'' required by light to travel
from A to B equals the ``time'' it requires to travel from B to A." --
Einstein.
http://www.androcles01.pwp.blueyonder.co.uk/LT.JPG
A metric satisfies the triangle inequality g(x,y)+g(y,z)=g(x,z) and is
symmetric, so g(x,y)==g(y,x).

| I merely followed your example by pointing out that your
| suggested replacement, topology, is likewise not a prerequisite, and is
| even less suitable as preparation for metric spaces.

On that point we would have to agree to differ, just as I don't
give a toss what your Supreme Court does.

Androcles

**Dave Seaman**

On Thu, 07 Sep 2006 01:02:45 GMT, Sorcerer wrote:

"Dave Seaman" wrote in message
...
| On Wed, 06 Sep 2006 16:55:58 GMT, Sorcerer wrote:
|
| "Dave Seaman" wrote in message
| ...
| | On Wed, 06 Sep 2006 12:36:55 GMT, Sorcerer wrote:
| |
| | "Dave Seaman" wrote in message
| | ...
| | | On Wed, 06 Sep 2006 10:48:43 GMT, Sorcerer wrote:
| | |
| | | "Bill Hobba" wrote in message
| | | ...
| | | |
| | | | "Golden helmet" wrote in message
| | | | ...
| | | | Where do I get a course that I can understand on "metric
spaces"
| | | |
| | | |
| | | | Obviously that depends on how much math you know. Have you done
say
| | | second
| | | | year university calculus?
| | |
| | | Calculus is not a prerequisite for metric spaces. Topology would
be
| more
| | | helpful.
| | |
| | | Topology is not a prerequisite for metric spaces. Metric spaces are
a
| | | special case of topological spaces.
| |
| | I said it would be helpful, I did not say it was a prerequisite.
| | LEARN TO READ AND COMPREHEND, especially if you wish
| | to study mathematics, which is terse and precise.
| |
| | What you said is completely wrong.
|
| Ok, don't bother to read and comprehend, ****head. It's no skin off
| my nose, **** off.
| Androcles
|
| I read and comprehend that you think it is ok to take someone else to
| task for mentioning calculus, because (in your words), "calculus is not a
| prerequisite for metric spaces".

That is correct.

| No one had mentioned prerequisites up
| to that point.

Hobba mentioned calculus, the guy wasn't asking about calculus.

You mentioned topology. The guy wasn't asking about topology.

Hobba wouldn't know what a metric was anyway, he's a ****head
relativist who thinks lengths change when you shine lights on
them.

And you suggested topology to someone who doesn't know what a metric is?

we establish by definition that the ``time'' required by light to travel
from A to B equals the ``time'' it requires to travel from B to A." --
Einstein.
http://www.androcles01.pwp.blueyonder.co.uk/LT.JPG
A metric satisfies the triangle inequality g(x,y)+g(y,z)=g(x,z) and is
symmetric, so g(x,y)==g(y,x).

| I merely followed your example by pointing out that your
| suggested replacement, topology, is likewise not a prerequisite, and is
| even less suitable as preparation for metric spaces.

On that point we would have to agree to differ, just as I don't
give a toss what your Supreme Court does.

You don't give a toss about double standards, either.

--
Dave Seaman
U.S. Court of Appeals to review three issues
concerning case of Mumia Abu-Jamal.
http://www.mumia2000.org/

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