Mathematics

Started by Florestan, June 21, 2022, 11:51:03 AM

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Karl Henning

Quote from: coffee on July 04, 2022, 08:09:17 AM
My purpose is to persuade you to let me do my thing here. I haven't surrendered.

Be at liberty.
Karl Henning, Ph.D.
Composer & Clarinetist
Boston MA
http://www.karlhenning.com/
[Matisse] was interested neither in fending off opposition,
nor in competing for the favor of wayward friends.
His only competition was with himself. — Françoise Gilot

Florestan

Quote from: coffee on July 04, 2022, 08:09:17 AM
My purpose is to persuade you to let me do my thing here. I haven't surrendered.

By all means, do it your way!
"Great music is that which penetrates the ear with facility and leaves the memory with difficulty. Magical music never leaves the memory." — Thomas Beecham

LKB

Quote from: Florestan on July 04, 2022, 08:19:29 AM
By all means, do it your way!

+1

If l were him I'd have Sinatra for my avatar.
Mit Flügeln, die ich mir errungen...

Florestan

Quote from: LKB on July 04, 2022, 10:27:38 AM
+1

If l were him I'd have Sinatra for my avatar.

What's your way to prove Pythagoras's theorem? Hint only, please!  :D

Note to DavidW: still can't do it, one more hint, please!  ;)
"Great music is that which penetrates the ear with facility and leaves the memory with difficulty. Magical music never leaves the memory." — Thomas Beecham

LKB

Quote from: Florestan on July 04, 2022, 11:02:26 AM
What's your way to prove Pythagoras's theorem? Hint only, please!  :D

I am interested only in being the first to disprove it, using mathematics from a parallel universe.  >:D
Mit Flügeln, die ich mir errungen...

Florestan

Quote from: LKB on July 04, 2022, 11:11:40 AM
I am interested only in being the first to disprove it, using mathematics from a parallel universe.  >:D

Please do it. You'll make my day.  :D
"Great music is that which penetrates the ear with facility and leaves the memory with difficulty. Magical music never leaves the memory." — Thomas Beecham

LKB

If l ever have the opportunity, I'll do my best.  ;)
Mit Flügeln, die ich mir errungen...

DavidW

Quote from: Florestan on July 04, 2022, 11:02:26 AM
What's your way to prove Pythagoras's theorem? Hint only, please!  :D

Note to DavidW: still can't do it, one more hint, please!  ;)

With four identical triangles and the two squares (from the legs) you can make a bigger square.

With four identical triangles and one square (from the hypotenuse) you can also make a bigger square.

Florestan

Quote from: LKB on July 04, 2022, 11:21:01 AM
If l ever have the opportunity, I'll do my best.  ;)

As a preliminary exercise, you can try to solve the quadratic equation:



This I can do alright. Pythagora otoh gives me strong headaches...
"Great music is that which penetrates the ear with facility and leaves the memory with difficulty. Magical music never leaves the memory." — Thomas Beecham

Florestan

Quote from: DavidW on July 04, 2022, 11:22:42 AM
With four identical triangles and the two squares (from the legs) you can make a bigger square.

With four identical triangles and one square (from the hypotenuse) you can also make a bigger square.

Thanks again. Will report back tomorrow.
"Great music is that which penetrates the ear with facility and leaves the memory with difficulty. Magical music never leaves the memory." — Thomas Beecham

DavidW

Quote from: LKB on July 04, 2022, 11:11:40 AM
I am interested only in being the first to disprove it, using mathematics from a parallel universe.  >:D

You don't have to go to a parallel universe.  Matter curves spacetime which makes it non-Euclidean.  The Pythagorean theorem can be violated.  Subtly here at the surface of the Earth, grossly near say the event horizon of a black hole.

LKB

Quote from: Florestan on July 04, 2022, 11:25:36 AM
As a preliminary exercise, you can try to solve the quadratic equation:



This I can do alright. Pythagora otoh gives me strong headaches...

My solution:

42

It works perfectly in the parallel universe.  8)
Mit Flügeln, die ich mir errungen...

LKB

Quote from: DavidW on July 04, 2022, 11:27:16 AM
You don't have to go to a parallel universe.  Matter curves spacetime which makes it non-Euclidean.  The Pythagorean theorem can be violated.  Subtly here at the surface of the Earth, grossly near say the event horizon of a black hole.

Interestingly, matter also curves my waistline after an epic helping of biscuits and gravy, which I've just completed without processing math from anywhere at all.  8)
Mit Flügeln, die ich mir errungen...

Florestan

Quote from: DavidW on July 04, 2022, 11:27:16 AM
You don't have to go to a parallel universe.  Matter curves spacetime which makes it non-Euclidean.  The Pythagorean theorem can be violated.  Subtly here at the surface of the Earth, grossly near say the event horizon of a black hole.

If I'm not mistaken the sum of the angles of a triangle drew on the terrestrial globe is larger than 180.  ;)
"Great music is that which penetrates the ear with facility and leaves the memory with difficulty. Magical music never leaves the memory." — Thomas Beecham

Florestan

Quote from: LKB on July 04, 2022, 11:28:38 AM
My solution:

42


There certainly is a particular form of the quadratic equation which admits as a solution 42. I might even try to work it out.  ;)
"Great music is that which penetrates the ear with facility and leaves the memory with difficulty. Magical music never leaves the memory." — Thomas Beecham

LKB

Quote from: Florestan on July 04, 2022, 11:35:46 AM
There certainly is a particular form of the quadratic equation which admits as a solution 42. I might even try to work it out.  ;)

If you do make the attempt and encounter difficulty, a towel may prove useful.  ;)
Mit Flügeln, die ich mir errungen...

Florestan

Quote from: LKB on July 04, 2022, 11:41:03 AM
If you do make the attempt and encounter difficulty, a towel may prove useful.  ;)

;D

Now I really want to do it. Stay tuned.
"Great music is that which penetrates the ear with facility and leaves the memory with difficulty. Magical music never leaves the memory." — Thomas Beecham

DavidW

Quote from: LKB on July 04, 2022, 11:41:03 AM
If you do make the attempt and encounter difficulty, a towel may prove useful.  ;)

It is the most massively useful thing that Florestan could have!

DavidW

Quote from: Florestan on July 04, 2022, 11:31:37 AM
If I'm not mistaken the sum of the angles of a triangle drew on the terrestrial globe is larger than 180.  ;)

Don't let the flat earthers know!  They would be so upset if they could read...

Florestan

Quote from: DavidW on July 04, 2022, 01:03:45 PM
It is the most massively useful thing that Florestan could have!

Calculate its area and volume!  ;)
"Great music is that which penetrates the ear with facility and leaves the memory with difficulty. Magical music never leaves the memory." — Thomas Beecham