File: Hausdorff_2.jpg (12KB, 287x326px) Image search:
[Google]
12KB, 287x326px
Help me out here.
[math]\textup{Prove that in any topological Hausdorff space all subspaces consisting of one element are closed.}[/math]
Now, say I take the discrete topology T consisting of all subsets of X, then (X, T) is a Hausdorff space. However, for every element x of X, {x} is open with respect to the discrete topology, as is the complement X-{x} of {x} in X. So {x} is both open and closed in X. How can this statement still hold?
12 Posts / 1 Images
View this topic
>>
"Prove that in any topological Hausdorff space all subspaces consisting of one element are closed."
>>
>>7696603
Great job, OP. You disproved topology.
>>
Let x be any element of X.
For every y unequal to x there exists an open neibhoorhood U_y that includes y but not x.
The union of all those U_y is X \ {x} and since it's the union of open sets it must be open too.
Therefore {x} is closed.
File: download (1).jpg (9KB, 201x251px) Image search:
[Google]
9KB, 201x251px
What is the hardest field of science to be successful or knowledgeable in?
22 Posts / 2 Images
View this topic
>>
Women
>>
>>7696381
Social science
>>
>>7696383
this thats why women studies is the hardest field
File: cat+toast-thumbs_V1.png (801KB, 1280x720px) Image search:
[Google]
801KB, 1280x720px
WATCH: https://youtu.be/3XpQ6MehInc
17 Posts / 4 Images
View this topic
>>
>>7696358
is it from some show?
>>
>>7696369
flying horse commical
>>
>>7696358
seems like someone took that gravity-cat theory pretty seeriously
File: calculator.jpg (11KB, 250x300px) Image search:
[Google]
11KB, 250x300px
Are there STEM courses where requiring a calculator for exams makes sense?
14 Posts / 2 Images
View this topic
>>
Statistics maybe
>>
Probably most of them? I don't understand the question.
>>
>>7696276
engineering, physics, chem
File: sdfasdf.jpg (41KB, 461x253px) Image search:
[Google]
41KB, 461x253px
>Your ignorance of Harmonic Cube is demonic.
how does this make you feel /sci/?
12 Posts / 6 Images
View this topic
>>
>>7696246
Just googled it and wished i hadnt
>>
File: tmp_5793-1432023851459-1481644948.jpg (74KB, 500x625px) Image search:
[Google]
74KB, 500x625px
>>7696246
Schizophrenic theories always come with the most creative artwork.
>>
File: tmp_5793-1432024406500-1369410291.jpg (56KB, 465x410px) Image search:
[Google]
56KB, 465x410px
>>7698284
Anonymous
Hawaii Supreme Court Voids Telescope Construction Permit 2015-12-03 06:51:43 Post No.7696044
[Report] Image search: [Google]
Hawaii Supreme Court Voids Telescope Construction Permit 2015-12-03 06:51:43 Post No.7696044
[Report] Image search: [Google]
File: 150623-mauna-kea-telescope-2106_85558ca4e3753c5602767255b5f66097.nbcnews-ux-2880-1000.jpg (223KB, 1781x1000px) Image search:
[Google]
223KB, 1781x1000px
Hawaii Supreme Court Voids Telescope Construction Permit
Anonymous
2015-12-03 06:51:43
Post No. 7696044
[Report]
[View this topic]
https://archive.is/Srfzd
>muh sacred clay
why do we let white guilt get in the way of progress?
>A long-awaited Hawaii Supreme Court ruling Wednesday invalidating a construction permit for what would be one of the world's largest telescopes represents a major setback for the $1.4 billion project on a mountain astronomers tout for having perfect star-gazing conditions.
>The ruling is a victory for protesters who say they are fighting the project to curb development, preserve Native Hawaiian culture and protect the Big Island's Mauna Kea, a mountain many consider sacred
62 Posts / 9 Images
View this topic
>>
>star gazing
>important
lmao
>>
File: NGC5291_c80aSchedler.jpg (895KB, 1868x1608px) Image search:
[Google]
895KB, 1868x1608px
>>7696056
do you realize what board you're on, cunt?
>>
>>7696056
>studying anything that isnt on our tiny, shitty earth bubble isnt important
??? I dont understand you people, you realise theres a lot of space, right?
File: gbtv-cortana-scary.jpg (113KB, 1920x1080px) Image search:
[Google]
113KB, 1920x1080px
Theoretical Sciences (Quantum) [ ]
Geology [ ]
Psychology [ ]
Sociology [ ]
Statistics [ ]
Archaeology [ ]
Psychiatry [ ]
Anthropology [ ]
Forensic Science [ ]
25 Posts / 3 Images
View this topic
>>
>>7695981
All of them are science except for sociology
and before someone says:
>Muh autistic hard science meme
Take a close look at sociology curriculums in this decade. It is all about muh race studies. Muh gender studies. Muh opression. Muh white privilege. Muh male privilege. Muh cis privilege.
That is not science. That is confirmation bias of a selected group turned into an academic curriculum.
>>
>>7695995
How are anthropology and archaeology sciences?
>>
>>7695995
it is a science ,no matter the curriculum . the fact that what most people who study 'sociology' are not studying the actual science does not mean its not a science .it is one by definition .
just like if unis suddenly decided to teach shitposting courses to physics student that wouldn't make physics not a science , it would just make those unis shit .
File: Untitled.png (26KB, 663x326px) Image search:
[Google]
26KB, 663x326px
Out of all the specializations in this image which ones are the most fun/interesting/exciting, but still require some bit of skill to do?
I'm thinking Biochemistry, but im still not sure.
16 Posts / 2 Images
View this topic
>>
>>7695852
Animal behaviour.
>>
>>7695852
Animal behavior seems the most interesting.
>>
>>7695852
Biophysics
Anonymous
Interpretations of the Wave Equation 2015-12-03 03:32:50 Post No.7695721
[Report] Image search: [Google]
Interpretations of the Wave Equation 2015-12-03 03:32:50 Post No.7695721
[Report] Image search: [Google]
Interpretations of the Wave Equation
Anonymous
2015-12-03 03:32:50
Post No. 7695721
[Report]
[View this topic]
What's actually happening at the quantum level?
Will we ever know?
25 Posts / 2 Images
View this topic
>>
>>7695721
I like the Micho Keku interpretation personally
>>
who gives a heck?
>>
>>7695721
I don't know anything about this chart, but the simple fact that I can't seem to draw a single straight line through it, in any direction, and have everything be the same color, suggests to me that God is fucking with me.
t. an atheist math major
File: pmma-ps.gif (12KB, 250x214px) Image search:
[Google]
12KB, 250x214px
I'm doing a physics degree, however I've come across quite a bit of chemistry of which I don't have a foundation.
p.s i am a fembot tranny ;) im not but please help me out!
what are the functional groups in PMMA (polymethacrylate) and bonds? I'm trying to see how I can identify it via fourier transmission IR
12 Posts / 2 Images
View this topic
>>
File: 1442273881853.jpg (235KB, 1049x1500px) Image search:
[Google]
235KB, 1049x1500px
Ester
>>
The carboxylic from the ether should show in nice peak around 1700 1600 wavenumber unit
>>
Imite carbonyl my bad auto correct got me fuck up
File: part5-21d.jpg (182KB, 600x450px) Image search:
[Google]
182KB, 600x450px
/x/ here
What do you guys think about the Rodin coil.
If I said I could build a UFO with one would you belive?
12 Posts / 1 Images
View this topic
>>
>>7695646
it's an electromagnet
no
>>
>>7695646
I'd believe you're lying. Everyone knows UFO's float from rotating supercooled mercury.
>>
>>7695659
Elaborate
File: qcarbon.jpg (90KB, 848x477px) Image search:
[Google]
90KB, 848x477px
New phase of solid carbon discovered recently. Previous solid states were graphite and diamond. Q carbon is ferromagnetic, harder than diamond, and glows when exposed to low levels of energy. The only natural source of q carbon is possibly in the cores of some planets. It can, however, be manufactured inexpensively.
Q carbon is the future. All hail q carbon.
13 Posts / 3 Images
View this topic
>>
File: Hypnotoad.gif (31KB, 474x332px) Image search:
[Google]
31KB, 474x332px
Inexpensive breeding.
>>
>>7695611
>sorta glow in the dark
>very hard
>magnetic
I fail to see how this comes out to 'ITS DA FUTURE'. Pretty neat and certainly useful for some things, yeah, but hardly a world changing development
also, post sauce or it doesnt real
>>
>>7695672
https://news.ncsu.edu/2015/11/narayan-q-carbon-2015/
>“Q-carbon’s strength and low work-function – its willingness to release electrons – make it very promising for developing new electronic display technologies,” Narayan says.
The fact of the matter is it's too new to fully understand the applications of the material. I'm just having fun you little salty bitch.
File: 11755799.jpg (19KB, 453x438px) Image search:
[Google]
19KB, 453x438px
Ten - One = Nine
Googol - One = ?
15 Posts / 3 Images
View this topic
>>
>>7695492
999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
>>
10^100 - 1
?
>>
Googo
File: mnemonic.jpg (57KB, 300x300px) Image search:
[Google]
57KB, 300x300px
I'm stupid /sci/. Which is why I need to learn more about mnemonics to help me memorize shit for college exams. Does anyone have experience with this shit? I remember one guy on /r9k/ who talked about passing his classes with minimum study by simply remembering specific "trigger" words and funny acronyms
13 Posts / 3 Images
View this topic
>>
I came up with a genius mnemonic for the pKa of the n and c term of proteins once
>>
>>7695421
Oh, man. I remember one book talking about memory devices, I wasn't that into it, but it seemed to really have some merit to it.
It used mental images to memorize things, and, even though it's been probably 5 years since I flipped through the first chapter, I can still remember the random list of 8 things it gave to work with.
I think it was by Henry something?
>>
>>7695441
It was "The Memory Book" by Harry Lorayne, and Jerry Lucas.
File: timeindependant.png (3KB, 454x113px) Image search:
[Google]
3KB, 454x113px
What is everybody's favorite equation and why? Mine's the time independent Schrodinger equation because of all the quantum numbers that fell out of it.
46 Posts / 5 Images
View this topic
>>
That one with the integral and dx at the end. I forgot it.
>>
>>7695475
I like the integrals with dt at the end better
>>
>>7695402
I like the time dependent one.
Fight me.