/sci/ - Science & Math » Thread #11175205

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Anonymous Mon 25 Nov 06:55:41 2019 No.11175205 View Reply Original Report

Quoted By: >>11175213 >>11175254 >>11177100 >>11177508

tell me a theorem /sci/

Anonymous

Anonymous Mon 25 Nov 2019 07:00:49 No.11175213 Report

Quoted By:

>>11175205
Castigliano's Theorem

Anonymous

Anonymous Mon 25 Nov 2019 07:21:42 No.11175232 Report

Quoted By: >>11175897 >>11177387

If you have a surface divided by borders, it is always possible to use less than five colors to fill in the sections such that no two sections of the same color touch each other.

Anonymous

Anonymous Mon 25 Nov 2019 07:39:27 No.11175254 Report

Quoted By:

>>11175205
\text{ }^{\color{#571da2}{\displaystyle\text{O}}}\text{ }^{^{^{^{\color{#462eb9}{\displaystyle\text{P}}}}}}\text{ }^{^{^{^{^{^{^{\color{#3f47c8}{\displaystyle\text{ }}}}}}}}}\text{ }^{^{^{^{^{^{^{^{^{^{\color{#3f62cf}{\displaystyle\text{ }}}}}}}}}}}}\text{ }^{^{^{^{^{^{^{^{^{^{^{^{^{\color{#437ccc}{\displaystyle\text{i}}}}}}}}}}}}}}}\text{ }^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{\color{#4b90bf}{\displaystyle\text{s}}}}}}}}}}}}}}}}}\text{ }^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{\color{#56a0ae}{\displaystyle\text{ }}}}}}}}}}}}}}}}}}}\text{ }^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{\color{#62ab99}{\displaystyle\text{a}}}}}}}}}}}}}}}}}}}}}\text{ }^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{\color{#71b484}{\displaystyle\text{ }}}}}}}}}}}}}}}}}}}}}}\text{ }^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{\color{#82ba70}{\displaystyle\text{f}}}}}}}}}}}}}}}}}}}}}}\text{ }^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{\color{#96bc5f}{\displaystyle\text{a}}}}}}}}}}}}}}}}}}}}}}\text{ }^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{\color{#a9bd52}{\displaystyle\text{}}}}}}}}}}}}}}}}}}}}}}\text{ }^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{\color{#bcbb48}{\displaystyle\text{g}}}}}}}}}}}}}}}}}}}}}\text{ }^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{\color{#ceb541}{\displaystyle\text{g}}}}}}}}}}}}}}}}}}}\text{ }^{^{^{^{^{^{^{^{^{^{^{^{^{^{^{\color{#dcab3c}{\displaystyle\text{o}}}}}}}}}}}}}}}}}\text{}^{^{^{^{^{^{^{^{^{^{^{^{^{\color{#e39938}{\displaystyle\text{t}}}}}}}}}}}}}}}\text{ }^{^{^{^{^{^{^{^{^{^{\color{#e68033}{\displaystyle\text{!}}}}}}}}}}}}\text{ }^{^{^{^{^{^{^{\color{#e3632d}{\displaystyle\text{!}}}}}}}}}\text{ }^{^{^{^{\color{#de4227}{\displaystyle\text{!}}}}}}\text{ }^{\color{#da2121}{\displaystyle\text{!}}}

Anonymous

Anonymous Mon 25 Nov 2019 12:45:16 No.11175623 Report

Quoted By:

*sniff*

Anonymous

Anonymous Mon 25 Nov 2019 12:53:51 No.11175638 Report

Quoted By: >>11175908

how about an axiom instead:
OP is a faggot

Anonymous

Anonymous Mon 25 Nov 2019 15:30:23 No.11175884 Report

Quoted By:

*snivel*

Anonymous

Anonymous Mon 25 Nov 2019 15:35:41 No.11175897 Report

Quoted By: >>11177546

>>11175232
Not true as stated for various reasons.

Anonymous

Anonymous Mon 25 Nov 2019 15:42:09 No.11175908 Report

Quoted By:

>>11175638
That's provable though.

Anonymous

Anonymous Tue 26 Nov 2019 01:20:06 No.11177100 Report

Quoted By:

>>11175205
Heron's theorem

Anonymous

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Anonymous Tue 26 Nov 2019 01:26:55 No.11177107 Report

Quoted By:

Anonymous

Anonymous Tue 26 Nov 2019 01:36:47 No.11177118 Report

Quoted By:

Bernard's Capable Postulate

Anonymous

Anonymous Tue 26 Nov 2019 04:10:00 No.11177387 Report

Quoted By: >>11177414

>>11175232
Divide a circle by five radii. Not possible.

Anonymous

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Anonymous Tue 26 Nov 2019 04:20:56 No.11177414 Report

Quoted By: >>11177482

>>11177387
hmm?

Anonymous

Anonymous Tue 26 Nov 2019 04:43:19 No.11177482 Report

Quoted By: >>11177487

>>11177414
The blue and green parts clearly touch each other.

Anonymous

Anonymous Tue 26 Nov 2019 04:44:37 No.11177487 Report

Quoted By: >>11177546

>>11177482
No they don't. The length of gardenwall shared by the two green sections (and the two blue sections) is exactly zero.

Anonymous

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Anonymous Tue 26 Nov 2019 04:55:42 No.11177508 Report

Quoted By: >>11177582

>>11175205

Anonymous

Anonymous Tue 26 Nov 2019 05:18:23 No.11177538 Report

Quoted By:

bijection more like semen

Anonymous

Anonymous Tue 26 Nov 2019 05:25:07 No.11177546 Report

Quoted By: >>11177554 >>11177584

>>11177487
You don't know what touch means. They share a point. We're not talking about tangents here.
See
>>11175897

Anonymous

Anonymous Tue 26 Nov 2019 05:28:18 No.11177554 Report

Quoted By: >>11177775

>>11177546
The four color theorem says no two colors share a length of gardenwall. Is that more specific? The circle I posted satisfies this.

Anonymous

Anonymous Tue 26 Nov 2019 05:51:18 No.11177582 Report

Quoted By:

>>11177508
This falls apart when you realize the monkeys would break the typewriter and then shit on it.

Anonymous

Anonymous Tue 26 Nov 2019 05:53:38 No.11177584 Report

Quoted By: >>11177621 >>11177775

>>11177546
They do share a point. A better way to explain it is the collection of shared points is finite.

Anonymous

Anonymous Tue 26 Nov 2019 06:18:20 No.11177610 Report

Quoted By: >>11177631

Let G and H be groups with f:G->H a homomorphism. Then the kernel of f, denoted f(g), is a normal subgroup of G and G/ker(f) is isomorphic to the image of f.

Anonymous

Anonymous Tue 26 Nov 2019 06:22:28 No.11177621 Report

Quoted By:

>>11177584
*has measure zero.

but you're right on the intuition.

Anonymous

Anonymous Tue 26 Nov 2019 06:33:59 No.11177631 Report

Quoted By:

>>11177610
Should be "denoted ker(f)". I'm retarded.

Anonymous

Anonymous Tue 26 Nov 2019 06:58:21 No.11177655 Report

Quoted By:

The Gelfand-Naimark Theorem: Any abstract C* algebra (a Banach algebra with involution satisfying the C* identity ||a*a|| = ||a||^2) is isometrically isomorphic to a subalgebra of the bounded operators on a Hilbert space.

Anonymous

Anonymous Tue 26 Nov 2019 08:27:49 No.11177775 Report

Quoted By:

>>11177554
>>11177584
Yes, much better.

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