From Newsgroup: comp.os.linux.advocacy

Any math heads out there?

The following two expressions are equal. That is, substituting any value
of t in the expressions will produce the same value.

Yet, I cannot reduce one to the other using algebra and the trig identities.
It must be possible but I can't find a way to do it.

Can you?

Eternal fame awaits the person who can solve this.


Expression 1:

⎛ _______________ ⎞
⎜ _ ╱ 2 ⎛ 4 2 ⎞ ⎟
⎜8 ⋅ ╲╱3 ⋅ cos(t) ⋅ ╲╱ 3 ⋅ cos(t) + 1 ⋅ sin(t) + ⎝27 ⋅ cos(t) + 18 ⋅ cos(t) + 3⎠ ⋅ sin(t)⎟
⎜───────────────────────────────────────────────────────────────────────────────────────────⎟
⎜ 4 2 ⎟
⎝ 36 ⋅ cos(t) + 24 ⋅ cos(t) + 4 ⎠


Expression 2:

⎛ _______________ ⎞
⎜ ╱ 2 ⎛ 2 ⎞ _ ⎟
⎜╲╱ 3 ⋅ cos(t) + 1 ⋅ ⎝9 ⋅ cos(t) + 3⎠ ⋅ sin(t) + 8 ⋅ ╲╱3 ⋅ cos(t) ⋅ sin(t)⎟
⎜───────────────────────────────────────────────────────────────────────────⎟
⎜ _______________ ⎟
⎜ ╱ 2 ⎛ 2 ⎞ ⎟
⎝ ╲╱ 3 ⋅ cos(t) + 1 ⋅ ⎝12 ⋅ cos(t) + 4⎠ ⎠
--
Gentoo: the only road to GNU/Linux freedom and perfection.
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From Newsgroup: comp.os.linux.advocacy

At Wed, 24 Dec 2025 13:30:01 +0000, Farley Flud <ff@linux.rocks> wrote:

Any meth heads out there?

Only you, Bozo.
--
Doc Hammerslack
] The mind-blasting prophecy known to Emergentiles and Rewardians
] alike cannot possibly ever be grossly underestimated and
] over-priced.
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From Newsgroup: comp.os.linux.advocacy

On Wed, 24 Dec 2025 16:39:24 +0000, Doc Hammerslack wrote:

At Wed, 24 Dec 2025 13:30:01 +0000, Farley Flud <ff@linux.rocks> wrote:

Any meth heads out there?

Only you, Bozo.

So true.

You are a DICK HEAD and only a DICK HEAD and always
a DICK HEAD.

Ha, ha, ha, ha, ha, ha, ha, ha, ha, ha, ha, ha, ha!
--
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From Newsgroup: comp.os.linux.advocacy

At Wed, 24 Dec 2025 16:43:18 +0000, Farley Flud <fflud@gnu.rocks> wrote:

On Wed, 24 Dec 2025 16:39:24 +0000, Doc Hammerslack wrote:

At Wed, 24 Dec 2025 13:30:01 +0000, Farley Flud <ff@linux.rocks> wrote:

Any meth heads out there?

Only you, Bozo.

So true.

Well, that was easy. (Please consider a chemical dependency
program near you.)

Don't feel bad -- you have been HAD by...
DOC HAMMERSLACK!
--
Doc Hammerslack
] Any fragments of the Truth wielded by Nhee Ghee was implanted in
] our minds only to be driven into the ground.
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From Newsgroup: comp.os.linux.advocacy

On Wed, 24 Dec 2025 13:30:01 +0000, Farley Flud wrote:

Any math heads out there?

Eternal fame awaits the person who can solve this.

You may be wondering how I arrived at these particular expressions
and what they have to do with GNU/Linux.

Fret not. I shall reveal.

I was exploring general tangent plane vectors along a general
sphere geodesic using the open-source GNU/Linux Maxima:

<https://maxima.sourceforge.io/>

I had derived the covariant derivative of the general tangent
vector using both the intrinsic (Christoffel symbols) and extrinsic
(projection onto unit normal) methods. They should be equal
but the expressions were different. Yet they are indeed equal.
One must be reducible to the other but I can't figure out how
to do it.

If you can perform this reduction you will gain everlasting
fame.

So get to it.
--
Gentoo: the only road to GNU/Linux freedom and perfection.
--- Synchronet 3.21a-Linux NewsLink 1.2

From Newsgroup: comp.os.linux.advocacy

On 12/24/25 1:36 PM, Farley Flud wrote:

On Wed, 24 Dec 2025 13:30:01 +0000, Farley Flud wrote:

Any math heads out there?


Eternal fame awaits the person who can solve this.

You may be wondering how I arrived at these particular expressions
and what they have to do with GNU/Linux.

Fret not. I shall reveal.

I was exploring general tangent plane vectors along a general
sphere geodesic using the open-source GNU/Linux Maxima:

<https://maxima.sourceforge.io/>

I had derived the covariant derivative of the general tangent
vector using both the intrinsic (Christoffel symbols) and extrinsic (projection onto unit normal) methods. They should be equal
but the expressions were different. Yet they are indeed equal.
One must be reducible to the other but I can't figure out how
to do it.

If you can perform this reduction you will gain everlasting
fame.

So get to it.

Why are we supposed to think this bullshit has anything to do with
advocating Linux?
--
Joel W. Crump
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From Newsgroup: comp.os.linux.advocacy

On Dec 24, 2025 at 8:30:01 AM EST, "Farley Flud" <ff@linux.rocks> wrote:

Any math heads out there?

I see you are STILL stuck on trivial math problems.

I solve problems WAY more complicated than this. Every day.
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From Newsgroup: comp.os.linux.advocacy

On Wed, 24 Dec 2025 19:23:35 +0000, Tyrone wrote:

I solve problems WAY more complicated than this. Every day.

Today is the day that you fall flat on your fucking face.

Ha, ha, ha, ha, ha, ha, ha, ha, ha, ha, ha, ha!
--
--- Synchronet 3.21a-Linux NewsLink 1.2

From Newsgroup: comp.os.linux.advocacy

On 12/24/25 2:31 PM, Farley Flud wrote:

On Wed, 24 Dec 2025 19:23:35 +0000, Tyrone wrote:

I solve problems WAY more complicated than this. Every day.

Today is the day that you fall flat on your fucking face.

Ha, ha, ha, ha, ha, ha, ha, ha, ha, ha, ha, ha!

You're a jerk-off.
--
Joel W. Crump
--- Synchronet 3.21a-Linux NewsLink 1.2

From Newsgroup: comp.os.linux.advocacy

Op 24-12-2025 om 19:36 schreef Farley Flud:

On Wed, 24 Dec 2025 13:30:01 +0000, Farley Flud wrote:

Any math heads out there?


Eternal fame awaits the person who can solve this.

You may be wondering how I arrived at these particular expressions
and what they have to do with GNU/Linux.

Fret not. I shall reveal.

I was exploring general tangent plane vectors along a general
sphere geodesic using the open-source GNU/Linux Maxima:

<https://maxima.sourceforge.io/>

I had derived the covariant derivative of the general tangent
vector using both the intrinsic (Christoffel symbols) and extrinsic (projection onto unit normal) methods. They should be equal
but the expressions were different. Yet they are indeed equal.
One must be reducible to the other but I can't figure out how
to do it.

If you can perform this reduction you will gain everlasting
fame.

So get to it.

I prefer desmos, because you can just link to graphs to easily share things.

https://www.desmos.com/calculator/vnj4fplzus

I haven't worked out in detail why these expressions are equal, but they
do seem to boil down to something fairly close.

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From Newsgroup: comp.os.linux.advocacy

Op 24-12-2025 om 21:32 schreef sobriquet:

Op 24-12-2025 om 19:36 schreef Farley Flud:

On Wed, 24 Dec 2025 13:30:01 +0000, Farley Flud wrote:

Any math heads out there?


Eternal fame awaits the person who can solve this.

You may be wondering how I arrived at these particular expressions
and what they have to do with GNU/Linux.

Fret not.  I shall reveal.

I was exploring general tangent plane vectors along a general
sphere geodesic using the open-source GNU/Linux Maxima:

<https://maxima.sourceforge.io/>

I had derived the covariant derivative of the general tangent
vector using both the intrinsic (Christoffel symbols) and extrinsic
(projection onto unit normal) methods.  They should be equal
but the expressions were different.  Yet they are indeed equal.
One must be reducible to the other but I can't figure out how
to do it.

If you can perform this reduction you will gain everlasting
fame.

So get to it.

I prefer desmos, because you can just link to graphs to easily share
things.

https://www.desmos.com/calculator/vnj4fplzus

I haven't worked out in detail why these expressions are equal, but they
do seem to boil down to something fairly close.

Oh I see, they are equal because you can multiply by (3cos(x)^2+1)/(3cos(x)^2+1) to turn h0(t) into g0(t).

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From Newsgroup: comp.os.linux.advocacy

Doc Hammerslack wrote:

At Wed, 24 Dec 2025 13:30:01 +0000, Farley Flud <ff@linux.rocks> wrote:

Any meth heads out there?

Only you, Bozo.

This really does explains everything.
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From Newsgroup: comp.os.linux.advocacy

On 12/24/25 10:49 PM, kouya wrote:

Doc Hammerslack wrote:

At Wed, 24 Dec 2025 13:30:01 +0000, Farley Flud <ff@linux.rocks> wrote:

Any meth heads out there?

Only you, Bozo.

This really does explains everything.

Or he drinks Faygo Cola a lot, or one of the other energy drink-type
products (Barq's Root Beer, Mr. Pibb, Sunkist Orange, Red Bull, Full Throttle). Red pills, as it were. No one comes to God but through
Jesus, which is Pepsi (or Mountain Dew).
--
Joel W. Crump
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From Newsgroup: comp.os.linux.advocacy

On Wed, 24 Dec 2025 21:37:57 +0100, sobriquet wrote:

I prefer desmos, because you can just link to graphs to easily share
things.

https://www.desmos.com/calculator/vnj4fplzus

The problem is that the site is controlled by a proprietary,
closed-source entity, desmos.com.

Usenet is not Facebook and open-source software is preferred
for sharing.

Oh I see, they are equal because you can multiply by (3cos(x)^2+1)/(3cos(x)^2+1) to turn h0(t) into g0(t).

Great! It's doubtful if I would have ever made that observation.

But you mis-typed your equation. The variable should be "t."

I am wondering, however, if the Maxima simplification routines
should have handled this better.
--
Gentoo: the only road to GNU/Linux freedom and perfection.
--- Synchronet 3.21a-Linux NewsLink 1.2