/sci/ - Science & Math

im gay lol

>>11176586
[math] \color{#5900b2}{\text{w}}\color{#0854c3}{\text{e}}\color{#1a9f9f}{\text{ }}\color{#0dff6f}{\text{k}}\color{#b4c034}{\text{n}}\color{#e04800}{\text{o}}\color{#b20000}{\text{w}} [/math]

Determine the greatest possible value of [math]\displaystyle \sum_{i=1}^{10}\cos(3x_{i})[/math] for real numbers [math]x_{1},x_{2},\dots ,x_{10}[/math] satisfying [math]\displaystyle \sum_{i=1}^{10}\cos(x_{i})=0[/math].

>>11176600
didn't you ask this before?

https://trinket.io/python3/403c7fc14e
[math] \color{#5900b2}{\text{m}}\color{#4a00c4}{\text{a}}\color{#2c01d5}{\text{k}}\color{#0404e3}{\text{e}}\color{#0636d2}{\text{ }}\color{#0854c3}{\text{y}}\color{#0a6ab2}{\text{o}}\color{#0777a7}{\text{u}}\color{#0685a3}{\text{r}}\color{#11909f}{\text{ }}\color{#1a9f9f}{\text{o}}\color{#15b6a6}{\text{w}}\color{#0fd1a6}{\text{n}}\color{#08e79f}{\text{ }}\color{#02fc8c}{\text{r}}\color{#0dff6f}{\text{a}}\color{#1bfc51}{\text{i}}\color{#32f22c}{\text{n}}\color{#66e62d}{\text{b}}\color{#96d62d}{\text{o}}\color{#b4c034}{\text{w}}\color{#cea924}{\text{t}}\color{#e8910d}{\text{e}}\color{#f27400}{\text{x}}\color{#ea5e00}{\text{t}}\color{#e04800}{\text{s}}\color{#d83600}{\text{ }}\color{#ce2400}{\text{h}}\color{#c51700}{\text{e}}\color{#bb0a00}{\text{r}}\color{#b20000}{\text{e}} [/math]

[math]\color{#781b86}{\text{If}}\color{#5e1d9c}{\text{ y}}\color{#4b25b0}{\text{ou}}\color{#4137c1}{\text{ c}}\color{#3e4cca}{\text{an}}\color{#3f62cf}{\text{'t}}\color{#4276cd}{\text{ r}}\color{#4888c4}{\text{ai}}\color{#4f97b9}{\text{nb}}\color{#58a2aa}{\text{ow}}\color{#62ab99}{\text{ p}}\color{#6eb388}{\text{os}}\color{#7cb778}{\text{t }}\color{#8abb69}{\text{yo}}\color{#99bd5c}{\text{u }}\color{#a9bd52}{\text{do}}\color{#b9bc49}{\text{n'}}\color{#c7b843}{\text{t }}\color{#d3b13f}{\text{be}}\color{#dda73b}{\text{lo}}\color{#e39938}{\text{ng}}\color{#e58634}{\text{ o}}\color{#e57030}{\text{n }}\color{#e1562b}{\text{/s}}\color{#de3b26}{\text{ci}}\color{#da2121}{\text{/}}[/math]

>>11176599
wasn't this from a putnam a couple years ago?

>>11176593
>>11176614
shit tier colors
>>11176627
aesthetic

>>11176630
Those are the same colours, what are you talking about?

>Those are the same colours, what are you talking about?

Hello. Selling Kratom seeds on eBay. US seller. Please check them out since I had to censor a lot in the title. https://www.ebay.com/itm/Exotic-seeds-50-seeds-for-microscopy-research/383285938617

>>11176639
How is this even tangentially related to mathematics?

[math]\color{#781b86}{\text{ba}}\color{#6a2c98}{\text{se}}\color{#5b3cab}{\text{d }}\color{#4d4dbd}{\text{ra}}\color{#3e5dcf}{\text{in}}\color{#4d74ba}{\text{bo}}\color{#5c8aa5}{\text{wp}}\color{#6ba18f}{\text{os}}\color{#7ab77a}{\text{te}}\color{#88b96f}{\text{rs}}\color{#96ba64}{\text{ i}}\color{#a3bc58}{\text{n }}\color{#b1bd4d}{\text{th}}\color{#bcb749}{\text{is}}\color{#c8b244}{\text{ t}}\color{#d3ac40}{\text{hr}}\color{#dea63b}{\text{ea}}\color{#dd8535}{\text{d }}\color{#dc642e}{\text{ }}\color{#db4228}{\text{ }}\color{#da2121}{\text{ }}[/math]
[math]\color{#6234a1}{\text{ca}}\color{#5444b4}{\text{n }}\color{#4555c6}{\text{y'}}\color{#4668c4}{\text{al}}\color{#557faf}{\text{l }}\color{#64959a}{\text{ni}}\color{#73ac85}{\text{gg}}\color{#81b874}{\text{as}}\color{#8fb969}{\text{ m}}\color{#9cbb5e}{\text{ul}}\color{#aabc53}{\text{ti}}\color{#b7ba4b}{\text{Li}}\color{#c2b446}{\text{ne}}\color{#cdaf42}{\text{ g}}\color{#d8a93d}{\text{ra}}\color{#de9538}{\text{di}}\color{#dd7431}{\text{en}}\color{#dc532b}{\text{t?}}[/math]
[math]\color{#4d4dbd}{\text{I }}\color{#3e5dcf}{\text{be}}\color{#4d74ba}{\text{tc}}\color{#5c8aa5}{\text{ha}}\color{#6ba18f}{\text{ c}}\color{#7ab77a}{\text{an}}\color{#88b96f}{\text{'t}}\color{#96ba64}{\text{ d}}\color{#a3bc58}{\text{o }}\color{#b1bd4d}{\text{it}}\color{#bcb749}{\text{ m}}\color{#c8b244}{\text{ot}}\color{#d3ac40}{\text{he}}\color{#dea63b}{\text{rf}}\color{#dd8535}{\text{uc}}\color{#dc642e}{\text{ke}}\color{#db4228}{\text{rs}}[/math]
[math]\color{#4668c4}{\text{I }}\color{#557faf}{\text{be}}\color{#64959a}{\text{t }}\color{#73ac85}{\text{yo}}\color{#81b874}{\text{u }}\color{#8fb969}{\text{br}}\color{#9cbb5e}{\text{ai}}\color{#aabc53}{\text{nl}}\color{#b7ba4b}{\text{et}}\color{#c2b446}{\text{s }}\color{#cdaf42}{\text{ca}}\color{#d8a93d}{\text{n'}}\color{#de9538}{\text{t }}\color{#dd7431}{\text{mu}}\color{#dc532b}{\text{lt}}\color{#db3224}{\text{iL}}\color{#cc202f}{\text{in}}\color{#b01e4c}{\text{e}}[/math]

Where else am I supposed to advertise?

>>11176658
>11. Advertising (all forms) is not welcome—this includes any type of referral linking, "offers", soliciting, begging, stream threads, etc.
Not on fucking 4chan dumbass

>>11176658
What are you? A fucking undergrad?

>>11176658
probably a dumb popsci faggot

>>11176658
BAN HIM!

>>11176662
a category theorist too, in all likelihood

Well, no one can truly ban me, since I can just create post under anther name or something...

>>11176639
>>11176658
[math] \color{#5900b2}{\text{B}}\color{#4c00c2}{\text{A}}\color{#3801d0}{\text{N}}\color{#1a02dc}{\text{ }}\color{#051cdc}{\text{B}}\color{#063ecf}{\text{A}}\color{#0857c1}{\text{N}}\color{#0a6ab2}{\text{ }}\color{#0875a7}{\text{B}}\color{#0280a4}{\text{A}}\color{#0d8ca1}{\text{N}}\color{#16969e}{\text{ }}\color{#19a5a1}{\text{B}}\color{#14bca7}{\text{A}}\color{#0fd1a6}{\text{N}}\color{#09e4a0}{\text{ }}\color{#04f892}{\text{B}}\color{#08ff7d}{\text{A}}\color{#12ff64}{\text{N}}\color{#1efb48}{\text{ }}\color{#39f12c}{\text{B}}\color{#66e62d}{\text{A}}\color{#8cda2d}{\text{N}}\color{#aec631}{\text{ }}\color{#c1b32f}{\text{B}}\color{#d7a01c}{\text{A}}\color{#f28604}{\text{N}}\color{#f17100}{\text{ }}\color{#ea5e00}{\text{B}}\color{#e14a00}{\text{A}}\color{#da3a00}{\text{N}}\color{#d22c00}{\text{ }}\color{#ca1d00}{\text{B}}\color{#c21200}{\text{A}}\color{#ba0800}{\text{N}}\color{#b20000}{\text{ }} [/math]

> Well, no one can truly ban me, since I can just create post under anther name or something...

Bro,be category theorist

OK delete my post ( I don't know how). I don't want some butt hurt dickheads reporting my listing because they're jealous of my successful eBay store...

>>11176698
based wholesome kratom seed seller

[math]\color{#5900b2}{\text{N}}\color{#5400b9}{\text{I}}\color{#4e00bf}{\text{G}}\color{#4400c8}{\text{G}}\color{#3b01ce}{\text{E}}\color{#2c01d5}{\text{R}}\color{#1f02da}{\text{ }}\color{#1003e0}{\text{N}}\color{#0410df}{\text{I}}\color{#0522da}{\text{G}}\color{#0636d2}{\text{G}}\color{#0742cd}{\text{E}}\color{#074ec7}{\text{R}}\color{#085abf}{\text{ }}\color{#0962ba}{\text{N}}\color{#0a6ab2}{\text{I}}\color{#0a6fac}{\text{G}}\color{#0875a7}{\text{G}}\color{#047aa6}{\text{E}}\color{#007fa5}{\text{R}}\color{#0685a3}{\text{ }}\color{#0a89a2}{\text{N}}\color{#108ea0}{\text{I}}\color{#14929e}{\text{G}}\color{#16989f}{\text{G}}\color{#1a9f9f}{\text{E}}\color{#18a8a2}{\text{R}}\color{#16b4a5}{\text{ }}\color{#14bca7}{\text{N}}\color{#12c5a7}{\text{I}}\color{#0fd1a6}{\text{G}}\color{#0cd9a5}{\text{G}}\color{#09e4a0}{\text{E}}\color{#07ec9c}{\text{R}}\color{#04f694}{\text{ }}\color{#02fc8c}{\text{N}}\color{#06fe83}{\text{I}}\color{#0bff76}{\text{G}}\color{#0fff6c}{\text{G}}\color{#15fe5d}{\text{E}}\color{#1bfc51}{\text{R}}\color{#21fa44}{\text{ }}\color{#29f532}{\text{N}}\color{#39f12c}{\text{I}}\color{#54eb2c}{\text{G}}\color{#66e62d}{\text{G}}\color{#7cdf2d}{\text{E}}\color{#8cda2d}{\text{R}}\color{#9bd42d}{\text{ }}\color{#abca30}{\text{N}}\color{#b4c034}{\text{I}}\color{#beb531}{\text{G}}\color{#c8ae29}{\text{G}}\color{#d1a621}{\text{E}}\color{#de9a16}{\text{R}}\color{#e8910d}{\text{ }}\color{#f68301}{\text{N}}\color{#f47a00}{\text{I}}\color{#f17100}{\text{G}}\color{#ed6600}{\text{G}}\color{#ea5e00}{\text{E}}\color{#e55400}{\text{R}}\color{#e24d00}{\text{ }}\color{#de4300}{\text{N}}\color{#db3d00}{\text{I}}\color{#d83600}{\text{G}}\color{#d32e00}{\text{G}}\color{#d02800}{\text{E}}\color{#cc2100}{\text{R}}\color{#c81c00}{\text{ }}\color{#c51700}{\text{N}}\color{#c11100}{\text{I}}\color{#bd0c00}{\text{G}}\color{#b90700}{\text{G}}\color{#b60300}{\text{E}}\color{#b20000}{\text{R}}[/math]

[math]
\maltese\ \ \ \ \ \ \ \ \ \ \maltese\ \maltese\ \maltese\ \maltese\\ \maltese\ \ \ \ \ \ \ \ \ \ \maltese\\ \maltese\ \ \ \ \ \ \ \ \ \ \maltese\\ \maltese\ \maltese\ \maltese\ \maltese\ \maltese\ \maltese\ \maltese\\ \ \ \ \ \ \ \ \ \ \ \ \ \ \maltese\ \ \ \ \ \ \ \ \ \ \maltese\\ \ \ \ \ \ \ \ \ \ \ \ \ \ \maltese\ \ \ \ \ \ \ \ \ \ \maltese\\ \maltese\ \maltese\ \maltese\ \maltese\ \ \ \ \ \ \ \ \ \ \maltese \\ \ \\ \color{red}{\text{[ S I E G : H E I L ]}}
[/math]

[math]\color{#5900b2}{\text{t}}\color{#5100bd}{\text{h}}\color{#4400c8}{\text{r}}\color{#3001d3}{\text{e}}\color{#1a02dc}{\text{a}}\color{#0410df}{\text{d}}\color{#062cd6}{\text{ }}\color{#0746cb}{\text{i}}\color{#0857c1}{\text{s}}\color{#0966b6}{\text{ }}\color{#0a6fac}{\text{m}}\color{#0777a7}{\text{o}}\color{#0280a4}{\text{v}}\color{#0988a2}{\text{i}}\color{#11909f}{\text{n}}\color{#16989f}{\text{g}}\color{#19a5a1}{\text{ }}\color{#16b4a5}{\text{s}}\color{#12c5a7}{\text{o}}\color{#0ed4a6}{\text{ }}\color{#0ae1a2}{\text{f}}\color{#05f198}{\text{a}}\color{#02fc8c}{\text{s}}\color{#09ff7a}{\text{t}}\color{#10ff68}{\text{ }}\color{#1bfc51}{\text{n}}\color{#25f73b}{\text{o}}\color{#40ef2c}{\text{b}}\color{#60e82d}{\text{o}}\color{#7cdf2d}{\text{d}}\color{#9bd42d}{\text{y}}\color{#aec631}{\text{ }}\color{#beb531}{\text{w}}\color{#cea924}{\text{i}}\color{#e19713}{\text{l}}\color{#f28604}{\text{l}}\color{#f27400}{\text{ }}\color{#ed6600}{\text{k}}\color{#e85900}{\text{n}}\color{#e14a00}{\text{o}}\color{#dc3f00}{\text{w}}\color{#d53200}{\text{ }}\color{#d02800}{\text{i}}\color{#ca1d00}{\text{m}}\color{#c41500}{\text{ }}\color{#bd0c00}{\text{g}}\color{#b80600}{\text{a}}\color{#b20000}{\text{y}}[/math]

>https://en.wikipedia.org/wiki/Wheel_theory

WHO ELSE POPPIN' WHEELIES

>>11176744
huh
always was interested by actually defining 0/0 to be a valid operation. is there some more meaningful literature on the subject you recommend?

>>11176754
Anton Setzer - Wheels
http://www.cs.swan.ac.uk/~csetzer/articles/wheel.pdf

Jesper Carlstrom - Wheels: On Division by Zero
http://www2.math.su.se/reports/2001/11/2001-11.pdf

>>11176756
well well well thank you

>>11176759
Kek. He literally just gave you the only two sources from the wiki link.

>>11176754
>0/0
that is not an """"operation"""", you braindead CS-tard.

\color{#5900b2}{\text{t}}\color{#2c01d5}{\text{e}}\color{#0636d2}{\text{t}}\color{#0a6ab2}{\text{t}}\color{#0685a3}{\text{d}}\color{#1a9f9f}{\text{t}}\color{#0fd1a6}{\text{s}}\color{#02fc8c}{\text{d}}\color{#1bfc51}{\text{t}}\color{#66e62d}{\text{s}}\color{#b4c034}{\text{t}}\color{#e8910d}{\text{s}}\color{#ea5e00}{\text{d}}\color{#d83600}{\text{t}}\color{#c51700}{\text{s}}\color{#b20000}{\text{d}}

I think I came up with a new proof for the pythag, it's cute. what do I do with it that isn't posting it here to be stolen?

AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA im having an exam tomorrow. is there a link that would connect what i need to know about matrixes and vectors in a first semester class?

please! I need advice and I know Ax=b

>>11176796
dont bully me

>>11176788
You will never be haruhi anon.

>>11176793
>>11176800
check out the 3b1b series if you haven't already

>>11176813
thank you anon so much

>>11176813
haha gay!

>>11176802
I'll include u in the screenshot what do it's either Einsteins proof or better than
maybe ill mail it to myself and put it Ina bank, and then post it, let it get stolen, and then press legal charges
or get a notarized copy
maybe ill go stand outside the local unis math dept with 3 whiteboards
pls halp it's not any of the 100 I've looked at

>>11176614
>>11176627
>>11176593
\color{#5900b2}{\text{I}}\color{#4e00bf}{\text{ }}\color{#3e01cc}{\text{c}}\color{#2802d7}{\text{a}}\color{#0a03e1}{\text{n}}\color{#0527d8}{\text{ }}\color{#0742cd}{\text{d}}\color{#0857c1}{\text{o}}\color{#0966b6}{\text{ }}\color{#0b72a8}{\text{t}}\color{#027ba6}{\text{h}}\color{#0685a3}{\text{i}}\color{#0e8da0}{\text{s}}\color{#16989f}{\text{ }}\color{#19a5a1}{\text{t}}\color{#15b6a6}{\text{o}}\color{#11c8a7}{\text{o}}\color{#0bdca4}{\text{ }}\color{#07ec9c}{\text{y}}\color{#03fa8f}{\text{o}}\color{#08ff7d}{\text{u}}\color{#12ff64}{\text{ }}\color{#1cfb4c}{\text{d}}\color{#29f532}{\text{u}}\color{#4dec2c}{\text{m}}\color{#77e12d}{\text{b}}\color{#96d62d}{\text{f}}\color{#aec631}{\text{u}}\color{#beb531}{\text{c}}\color{#d4a31e}{\text{k}}\color{#e8910d}{\text{e}}\color{#f57d00}{\text{n}}\color{#ef6c00}{\text{ }}\color{#e85900}{\text{s}}\color{#e14a00}{\text{h}}\color{#db3d00}{\text{i}}\color{#d43000}{\text{t}}\color{#cd2300}{\text{h}}\color{#c61800}{\text{e}}\color{#c00f00}{\text{a}}\color{#b90700}{\text{d}}\color{#b20000}{\text{.}}

>>11176906
you have no future in mathematics

>tfw STILL haven't learned topology
I can't even get through chapter two of Munkres (is that a meme book by the way?) without getting distracted by something else.

>*uptalking while lisping and gesticulating like a faggot ape* I can't even get through chapter two of Munkres (is that a membe book by the way?) without getting destracted by something else

>>11176932
My friend please be respect. Student mans are research study topology structure knot theory analysis NOT compare bn.

>>11176932
rude desu. this is usually a comfy thread don't know why you guys are shitting it up

>>11176663
>faggot
Why the homophobia?

>>11176629
2018 Putnam

>>11176614
Wow, anons on here were really using an online tool?
I wrote my program to do this myself and assumed everyone else did as well

\color{#5900b2}{\text{f}}\color{#4400c8}{\text{a}}\color{#1f02da}{\text{g}}\color{#0522da}{\text{g}}\color{#074ec7}{\text{o}}\color{#0a6ab2}{\text{t}}

>>11176582
Was I born to suffer

>>11176769
>>11176759
>>11176756
BTFO

https://arxiv.org/pdf/1911.10934.pdf
>An Explicit Identity of Sums of Powers of Complex Functions to Prove Riemann Hypothesis
>Dagnachew Jenber Negash
>(Submitted on 22 Nov 2019)

>This paper presents an absolutely explicit identity for solving sums of powers of complex functions with out one sum depends on the others. Via this sums of powers of complex functions, this paper proves Riemann Hypothesis.

https://arxiv.org/pdf/1911.10590.pdf
>A proof of the Conjecture of Lehmer
>Jean-Louis Verger-Gaugry
>(Submitted on 24 Nov 2019)

>>11176777
gotta go applied

Tao or Von Neumann?

>>11176927
munkres is not a meme, it's great
have you done metric spaces topology in a standard analysis book?

>>11177258
that's a cool result and a big long proof

>>11177238
>Corollary 3. (Riemann Hypothesis)
based.

>>11177238
>math.gm
Into the trash it goes

hello, I know you don't do homeworks in this board for obvious reasons but I thought I'd try it anyways all things considered. this is the last question I have left to answer due the end of the day if I want to pass calculus i. I have spent the entire weekend trying to solve it with no success. any help is appreciated

>>11177238
>Introduction
>Already fails to define the Riemann Hypothesis properly
Maybe he at least got half of it right lol

>>11176582
why didn't you, anon?

>>11177849
Have you tried a CAS?
A numerical algorithm will you give you the answer too.

>>11177849
Try [math]u = e^x, du = e^x dx [/math] and keep going with goniometric identities after that.

>>11177932
I tried that, it's how Wolfram seems to do but I can't solve it nonetheless. I have solved every other question in the list but not this one

>>11177928
what's CAS? I tried Wolfram which is the only one that seems to be able to solve it but I don't have the subscription to see the step by step and understand it

>>11178014
Show us your work. Nobody wants to do the whole problem just for you. You need to put in effort.

>>11178014
computer algebra system

>>11178014
You've now got [math]\int_0^1 u^4 \sqrt{1+u^2}[/math] so let [math]u = \text{tan}(s)[/math] such that [math]du = \text{sec}^2 (s)ds[/math]. Plug all that in and you'll find the integral 'reduces' to a sum of powers of secants. This might be handy.
https://en.wikipedia.org/wiki/Integral_of_secant_cubed

>>11178139
Screwed up the bounds on that one, keep that in mind.

>>11176943

>>11176582
>pre-calculus
>highschool
So, isn't that just all math that isn't calculus that you'd normally take in high school? That isn't a real thing is it? Because, I distinctly remember that not bei8ng a thing when I was in school. We had calculus. No "pre" anything. Seems like some sort of student time fill and teacher wallet padding to me.

>>11177238
Is this a joke?

>>11178755

Pre-calculus is crash course culture of cramping knowledge for tests. It's the natural evolution of shitty public education, it creates this market for people who want to get into higher education but don't have time.

>>11178755
Not only did my high school have a pre-calculus class, we had another course crammed between it and algebra 2, which was mostly spent studying trigonometry, continuity and limits, and some statistics, coupled with a review of algebra 2 material. Then in pre-calculus, we reviewed trigonometry and algebra 2 AGAIN, learned the VERY basics of set theory and logic, and threw in some discrete topics for the hell of it. Honestly, those meme charts that get posted in these threads aren't as ambitious as they seem, it's just that math education is unnecessarily delayed by bloated, repetitive course sequences.

>>11178755
from my experience and considering the state of the education of my country, the unis that only accept the best students go don't have pre-calculus because you need to have mastered highschool stuff to get there in the first place. the other ones, such as mine, usually have pre-calculus (or mathematics c) because they want to make sure everyone is in the same level. at the same time, it's great for student time fill as you figured yourself. my course is full of stuff that have nothing to do with computer science to make up for the minimum lecturing time

>>11177849
I finally figured it. it's pages long ;_;

>>11176599
480/49?

color{#5900b2}{\text{I}}\color{#4e00bf}{\text{ }}\color{#3e01cc}{\text{c}}\color{#2802d7}{\text{a}}\color{#0a03e1}{\text{n}}\color{#0527d8}{\text{ }}\color{#0742cd}{\text{d}}\color{#0857c1}{\text{o}}\color{#0966b6}{\text{ }}\color{#0b72a8}{\text{t}}\color{#027ba6}{\text{h}}\color{#0685a3}{\text{i}}\color{#0e8da0}{\text{s}}\color{#16989f}{\text{ }}\color{#19a5a1}{\text{t}}\color{#15b6a6}{\text{o}}\color{#11c8a7}{\text{o}}\color{#0bdca4}{\text{ }}\color{#07ec9c}{\text{y}}\color{#03fa8f}{\text{o}}\color{#08ff7d}{\text{u}}\color{#12ff64}{\text{ }}\color{#1cfb4c}{\text{d}}\color{#29f532}{\text{u}}\color{#4dec2c}{\text{m}}\color{#77e12d}{\text{b}}\color{#96d62d}{\text{f}}\color{#aec631}{\text{u}}\color{#beb531}{\text{c}}\color{#d4a31e}{\text{k}}\color{#e8910d}{\text{e}}\color{#f57d00}{\text{n}}\color{#ef6c00}{\text{ }}\color{#e85900}{\text{s}}\color{#e14a00}{\text{h}}\color{#db3d00}{\text{i}}\color{#d43000}{\text{t}}\color{#cd2300}{\text{h}}\color{#c61800}{\text{e}}\color{#c00f00}{\text{a}}\color{#b90700}{\text{d}}\color{#b20000}{\text{.}}

>>11179034
What's wrong, sweetie?
[math] \color{#5900b2}{\text{I}}\color{#4e00bf}{\text{ }}\color{#3e01cc}{\text{c}}\color{#2802d7}{\text{a}}\color{#0a03e1}{\text{n}}\color{#0527d8}{\text{ }}\color{#0742cd}{\text{d}}\color{#0857c1}{\text{o}}\color{#0966b6}{\text{ }}\color{#0b72a8}{\text{t}}\color{#027ba6}{\text{h}}\color{#0685a3}{\text{i}}\color{#0e8da0}{\text{s}}\color{#16989f}{\text{ }}\color{#19a5a1}{\text{t}}\color{#15b6a6}{\text{o}}\color{#11c8a7}{\text{o}}\color{#0bdca4}{\text{ }}\color{#07ec9c}{\text{y}}\color{#03fa8f}{\text{o}}\color{#08ff7d}{\text{u}}\color{#12ff64}{\text{ }}\color{#1cfb4c}{\text{d}}\color{#29f532}{\text{u}}\color{#4dec2c}{\text{m}}\color{#77e12d}{\text{b}}\color{#96d62d}{\text{f}}\color{#aec631}{\text{u}}\color{#beb531}{\text{c}}\color{#d4a31e}{\text{k}}\color{#e8910d}{\text{e}}\color{#f57d00}{\text{n}}\color{#ef6c00}{\text{ }}\color{#e85900}{\text{s}}\color{#e14a00}{\text{h}}\color{#db3d00}{\text{i}}\color{#d43000}{\text{t}}\color{#cd2300}{\text{h}}\color{#c61800}{\text{e}}\color{#c00f00}{\text{a}}\color{#b90700}{\text{d}}\color{#b20000}{\text{.}} [/math]

What is the equation of the tangent line for f(x)=x^2 that also goes through (3, 2)?

>>11179054
Think about it.

>>11179054
what have you tried ?

>>11179054
>>>/sci/sqt

>>11176582
So a*x + c...

>>11176582
Does he realize that complete sine integral can be calculated using pi and pythagorean theorem without using integrals?

>>11179094
>>11179082
I just don't know the method. I know how to calculate the tangent line for a given point in a function, but not one that has the condition of crossing another given coordinate

>>11179101
Ok, I'll ask there instead

>>11179105
1. calculate the tangent line at a general point, say x0
2. assume that the tangent line passes through (3,2)
3. obtain condition for x0
4. ???
5. PROFIT

>>11176989
>Why the homophobia?
Why are you on 4chan?

>>11178755
Its alegbra 2.5
I took it in college (brainlet) and it was just algebra 2 with more difficult problems plus trig at the end. Didn't cover anything that would be explicitly helpful in calculus. Overall a complete waste of time.

>>11178857
shitty *American public education, in my country (which is otherwise a third-world shithole) retards eventually fail all their courses and leave like in any decent place.

>>11179030
proof?

>>11179116
>Why are you on 4chan?
To discuss maths.

>>11179213
then post some math then

[math]\color{#5900b2}{\text{l}}\color{#4201ca}{\text{m}}\color{#1503de}{\text{a}}\color{#0631d4}{\text{o}}\color{#085abf}{\text{ }}\color{#0a70aa}{\text{w}}\color{#0382a4}{\text{h}}\color{#13919f}{\text{a}}\color{#17aba3}{\text{t}}\color{#10cba7}{\text{ }}\color{#08e99e}{\text{a}}\color{#06fe83}{\text{ }}\color{#15fe5d}{\text{f}}\color{#2cf32d}{\text{u}}\color{#71e32d}{\text{c}}\color{#a7cd2f}{\text{k}}\color{#cbac27}{\text{i}}\color{#ef8a07}{\text{n}}\color{#ee6900}{\text{g}}\color{#e24d00}{\text{ }}\color{#d73400}{\text{s}}\color{#cb1f00}{\text{c}}\color{#bf0e00}{\text{a}}\color{#b20000}{\text{m}}[/math]

>>11179255
I can never get the colour commands to work either =(

Is there anything intrinsic about the ZF(+C) axioms that make them "right" other than the fact that they give us all the nice results we want, or are they just a stroke of human genius?

>Let [math]\alpha,\beta[/math] be ordinals, and define [math]\alpha\cdot\beta = \text{Ord}(B\times A, \leq_{\text{dic}})[/math]
Why is it defined [math]B\times A[/math] and not [math]A\times B[/math]?

>>11179364
There are no "right" axioms.

>>11179806
What about an axiom that says there are right axioms?

>>11179487
It's just a definition: it makes it so
a(b+1)=ab + a,
and for limit c_n -> c
ac = limit a(c_n)
Same for addition. All operations on ordinals are defined by induction on the right.

>>11179208
Think

>>11179054
https://www.desmos.com/calculator/j3rqvscld8

I was bored, and I created this

>>11179364
No. Axioms in general can not be justified aside from the results they give, but many of the ZFC Axioms are at least plausible if compared to our general intuition about what "should be true" about a set. Extensionality, as an example is something that absolutely "should be true" if you want your foundations to be somewhat reasonable.

>>11179822
"right" is not well defined, it is not a property that an Axiom can have.
Also adding it is meaningless as nothing guarantees the axioms are consistent.
It's like trying to "fix" the possibility that ZFC is inconsistent by adding an Axiom saying that ZFC is consistent, but that is obviously idiotic.

>>11179364
>ZF(+C) axioms
Stopped reading right there.

>>11179364
Powerset axiom is bullshit. rest are fine

Back in the day I aced shit without studying, up to algebra 3-4 in highschool. But I gave up math and all other intellectual activities after that. It's been like 12 years of my mind and body atrophying.
Will I be able to learn calculus or am I fucked? Does it help that I like playing with an oscilloscope and a function generator?

>>11180223
I love doing the same things, the dx7 is fun
calculus is a joke, all approximations, no exacts
algebra is the chad maths

>>11180235
>calculus is a joke, all approximations, no exacts
>algebra is the chad maths

>>11180223
>Will I be able to learn calculus or am I fucked?
absolutely. calculus is not any kind of advanced math, just dive in and after a week you'll be saying "what's the fuss about??"

multivariate analysis and basic topology midterm in an hour PLEASE cross your fingers

>>11180214
>Powerset axiom is bullshit
Why?
Certainly in the finite case it is entirely fine, what mathematics would be possible without it?

>>11180336
>Certainly in the finite case it is entirely fine
Only up to the dark numbers

What's the point of having interpretations of quantum mechanics?

>>11180487
Interpreting is how you pass from mathematical statements about a model to statements about reality, which is the whole point of physics. Otherwise, you are just making computations

>tfw need to ask for recommendation letters for masters applications
>barely interacted with my professors during my bachelor
i hate those stupid formalities
also do i need to ask one for each master i want to apply to? or should i ask for a generic one?

in your opinion, should rings or groups be introduced first in a first course in abstract algebra?

>>11180318
how'd it go anon?

You been tellin' me you're a genius
Since you were seventeen
In all the time I've known you
I still don't know what you mean
The weekend at the college
Didn't turn out like you planned
The things that pass for knowledge
I can't understand

ARE YOU REELIN IN THE YEARS
STOWIN AWAY THE TIME
ARE YOU GATHERING UP THE TEARS
HAVE YOU HAD ENOUGH OF MINE

>>11180794
Groups.

Let [math]f(x,y)[/math] be convex in both variables. I'm interested in optimizing this function over some compact sets [math]x \in \mathcal{X}[/math] and [math]y \in \mathcal{Y}[/math].

Now, let [math]x', y'[/math] be optimal choices such that
[math]\max_{x \in \mathcal{X}} \min_{y \in \mathcal{Y}} f(x, y) = f(x', y').[/math]

When is it true that
[math]\max_{x \in \mathcal{X}} f(x, y' ) = f(x', y')[/math]
?

>>11180526
Generally how it works (to reduce forgeries/lying) is that you include 2-3 email addresses of professors with your application to the school. The school's system will contact your profs and ask them to upload a letter.
Profs almost always send the exact same letter everywhere, but if you apply to six schools they will have to upload it six times. A small piece of advice that isn't given often enough is that if you don't want to piss off your recommenders, submit all your applications on the same day so they can upload their letters in a batch rather than being pestered about it over and over.

HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELLLLP

>>11180875

>>11180842
This belong squarely in >>>/sci/sqt/ Stop asking stupid shit in /mg/ edition.
Though in this case, recognizing the stupidity of the problem seems to be at least as hard as recognizing the obstruction in the problem itself (that [math]y'[/math] is generally dependent on [math]x[/math]).

>>11180876
Holy shit faggot, Learn to make decisions for yourself

>>11180883
The hell? How am I supposed to buy a book about which the only thing I know is that it's famous.

>>11180881
>(that [math]y'[/math] is generally dependent on [math]x[/math])
how is that an "obstruction"? that's what the question is about.

>>11180889
>Gee I have a problem, I'm not sure this textbook works for me, what should I do?
>Well, I could google it and discover there are like 5000 websites with the 2nd edition plastered by professors from various colleges who use it
>Or I could go to the Library and try to check it out, and if they don't have it, have it sent via the interlibrary loan system
>...or I could ask a bunch of strangers to think for me or justify my spontaneous buy of a book who's fundamental goal is to get me to solve problems for myself
Yeah don't buy it, you won't get past Chapter 1.C

>>11180907
Fucking retard, I'm asking for opinions on it by people who read the book, fucking animal. I can't read online and it would do little good since I only know computational linear algebra and not proof-based linear algebra, you fucking orangutan.

>>11180345
>Only up to the dark numbers
But you have nothing against the Axiom of infinity?

>>11180794
Groups.
>>11180842
I'll just post an answer in /sqt/.
>>11180914
>can't read online
What?

>>11180920
>What?
I get distracted way too easily and before I know it I'm on social media seeing memes. I got issues, I need physical books in order to stay away from the distractions of the internet.

>>11180897
> [math]\max_{x \in \mathcal{X}} f(x, y' ) = f(x', y')[/math]
RHS depends on x, LHS doesn't.
Unless you meant to implicitly substitute x = x' in the RHS, making it tautologically true.

>>11180925
again, you won't get past chapter 1.C.

>>11180938
Again, you're a fucking chimpanzee

>>11180930
I'll rephrase: there exists a pair [math](x',y') \in \mathcal{X} \times \mathcal{Y}[/math] which achieves the optimum [math]\max_{x \in \mathcal{X}} \min_{y \in \mathcal{Y}} f(x,y)[/math]. When is this optimum equal to [math]\max_{x \in \mathcal{X}} f(x,y')[/math]? The whole point is to make [math]y'[/math] arbitrary without specifying the "corresponding" [math]x[/math].

>>11180914
why do textbook fags all fly off the handle so easily? Every time it's the exact same script
>hey guys please tell me [book(s)] is completely 100% optimal because I can't start learning anything until I know I'm doing it absolutely perfectly
>just read it dude
>FUCK YOU MOTHERFUCKER RAT BASTARD MONKEY BITCH

>>11180957
He didn't say 'just read it dude', he called me a faggot and told me to make decisions by myself, how is that any helpful?

>>11180962
This isn't the helping thread.
>>>/sci/sqt is.

>>11180962
>NOOOO HE CALLED ME A MEAN WORD AND TOLD ME TO BE A BIG BOY
>HE CAN'T DO THAT THIS IS 4CHAN

>>11180968
That's not what I said, but if you're rude to people, don't expect people to be respectful towards you. Have some reading comprehensions, fucking gorilla.

>>11180914
>I can't read online
YES. You fucking can, "libgen" is always your friend.

>>11180962
>how is that any helpful?
Both homosexuality and inability to make choices are dangerous tendencies you should be aware of and counteract.

>>11180978
Not everyone has the same fucking concentration skills, If I start reading an ebook, before I know it I'm browsing 4chan or some social media shit and I waste hours doing it instead of studying, I need physical books in a completely silenced ambient in order to get full concentration.
>>11180979
Kek, I am a homosexual, you fucking idiot.

>>11180984
>Not everyone has the same fucking concentration skills, If I start reading an ebook, before I know it I'm browsing 4chan or some social media shit
Then let me save you anywhere between 2 to 10 years of suffering. Drop Mathematics now. You simply will not make it without discipline, hell you won't make it though a STEM field in general without some kind of discipline. So just drop it and go do something in the social sciences or something.

>>11180999
Kek sure, I'm gonna follow the 'career advice' of a fucking stranger on an imageboard. I have discipline, I just can't read books on the PC.

>>11181002
>Kek sure, I'm gonna follow the 'career advice' of a fucking stranger on an imageboard.
If you don't value the opinions of strangers on an imageboard, why did you come to an imageboard to ask strangers their opinion?

>>11181004
I'm asking for opinions on a book, not on a personal issue like a career advice. You really can't read well, huh?

>>11180984
>Not everyone has the same fucking concentration skills
It should take you minutes to figure out whether the text us rigorous or purely computational.

>Kek, I am a homosexual, you fucking idiot.
I am sorry, maybe if you weren't a faggot with a mental illness you wouldn't be having these problems?

>>11181008
Dude, you can not figure out by yourself whether a book you could download and read RIGHT NOW fullfills your requirements, if that is your level of work ethic flipping burgers will be the highest thing you will ever be qualified for.

Where can one find tons of exercises to practice uniform convergence? I haven't done that in a long time and as I'll be needing them I'd like to recall everything real good. Thanks

ok I'm einstein what programs and/or languages do I need to learn to have the full power of computers at my beck and call?

>>11181136
None, since you're einstien you get a graduate student to do it for you

>>11181136
>>>/g/sqt
Also, improve the chuuni a lot or they'll just tell you to fuck off and read the sticky.
Finally, attach this 2hu to maximize chuuni.

>>11181139
I'm einstein pre general relativity, post special, so nobody will hire me because I'm still considered a quack

>>11181151
Ask >>11181008, he knows everything except if a linear algebra textbook is gud

I have three positive semidefinite matrices [math]A, B, C[/math].

Can I say anything about [math]\mathrm{tr}(ACBC)[/math] in terms of [math]\mathrm{tr}(AB)[/math] and [math]\mathrm{tr}(C)[/math]?

I need an upper bound on [math]\mathrm{tr}(ACBC)[/math].

>>11176582
Can you guys help me with a wood working problem ?

I want to make a doll house for my daughter. I'd like it to have a mansard roof, like pic-related though with a flat top and only one pitch. My problem is that I can't wrap my head around how to calculate the mitter where 2 surfaces meet. (In general I suck at thinking in 3d.)

I think the shape I'm trying to make is a truncated square pyramid. The top and bottom of this are squares. The sides are trapezoids. My first problem is to find the inside angle of the trapezoids for a given roof pitch. The second problem is to find angle 2 adjacent trapezoids meet, so I can bevel my pieces and get a flush joint.

>>11181195
like this? or with another level?

>>11180794
Rings, I think they're more interesting even though they're harder to understand. Their connections to geometry is what really sold me on this

>>11181209
Yes, like that.

>>11181229
>rings
>Their connections to geometry is what really sold me on this
>the connections of rings to geometry is what makes him prefer rings to groups for an introductory course in algebra
This is your brain on algebraic geometry. You just can't make this shit up.

>>11181239
based and Kleinpilled

>>11181230
theta is 64
phi is 154
3 is 115

someone tell me I'm wrong

>>11181229
holy fuck dude have you ever heard of a lie group
honestly leave and never fucking come back. you sheaf theory morons are a plague.

>>11180794
groups, not only for having the abstractions build on top of each other but also because they are dope.

>>11181254
... how did you get to these answers? And I didn't give the roof pitch so I don't understand how you got exact results.

>>11180794
Of course groups. Rings are defined in terms of groups, and groups themselves are extremely important.

>>11181276
I'm einstein pls give book recommends

Anybody else studying for finals? Two of mine seem like easy As, but my Stat class is gonna be rough as hell. Hoping to do some studying over break.

>>11181284
yes

>>11181278
I'm very much not Einstein and I'd like a little help.

I was playing around with numbers thinking about Mersenne primes when I realised all the primes I could remember can be written as:
[math]p^nq^m\pm1[/math] for prime [math]p,q[/math].
Upon going through the primes up to 100, it seems there exist prime [math]n,m[/math] solutions for every prime.

Is this trivial? It seems pretty interesting, but number theory isn't my discipline.

>>11181295
I have my own method I'm reluctant to divulge because of intellectual thievery
I truly would love to show you, but I am truly paranoid. and honestly it's rather complicated to explain, maybe someone else would be better at explaining it..
if someone else itt knows how to do it, I'd love to know too

Is this true?
[eqn]
\max\{\max_A f, \max_A -f \} = \max_A |f|
[/eqn]
I know it's trivial, I even proved it, but my brain won't stop thinking I'm fucking up somewhere.

>>11181316
ye lol, play with some numbers then generalize, play around with different spaces

>>11181303
>[math]p^nq^m \pm 1 = l[/math], p, q and l prime
>[math]p^nq^m ~ mod ~ 2 = 1[/math] if [math](p \neq 2) \wedge (q \neq 2)[/math]
>[math]p^nq^m \pm 1 \cong ~ 0 ~ mod 2 \cong l ~ mod ~ 2 [/math]
So you mean you could find an expression of the form [math]2^n p^m \pm 1[/math] for all primes smaller than 100, or is there some typo in there?

>>11181316
seems pretty trivial to me

>>11181334
Oh, m and n prime.
Sorry for the mixup.

It's my first semester in math and I probably fucked up on the number theory exam. Please tell me it's okay guys
:(

>>11181369
how'd you fuck it up? didn't study? hard questions?

now this is based

>>11181392
I never paid much attention to Lie groups when studying differential geometry, this looks like a nice read to catch up.

can someone explain what a functor is in category therory? As i understand it is simply a morphism in the category of categories. Is it something more?

>>11181415
In mathematics, specifically category theory, a functor is a map between categories. Functors were first considered in algebraic topology, where algebraic objects (such as the fundamental group) are associated to topological spaces, and maps between these algebraic objects are associated to continuous maps between spaces. Nowadays, functors are used throughout modern mathematics to relate various categories. Thus, functors are important in all areas within mathematics to which category theory is applied.

>>11181421
you just posted wikipedia. so its not a mophism? Its an explicit function?

>>11181423
>so its not a mophism? Its an explicit function?
moeryikes

>>11181425
im trying to solidify this concept you idiot, correct me instead of memeing god I hate mathematicians

>>11180917
>But you have nothing against the Axiom of infinity?
I reject it so that I don't need to have anything against it.

>>11181423
open literally any textbook on the matter and read the relevant page.

>>11181432
Why would I be posting here if I had a textbook?

>>11181434
there's no excuse not to have one in the era of libgen.

>>11181423
Why on earth would you think being a function excludes something from being a morphism? Almost all common examples of categories use some kind of structure-preserving function between objects as the morphisms.

>>11181439
>Why on earth would you think being a function excludes something from being a morphism?
Because there are more conceivable ways to map categories to each other then the structure preserving way. Im wondering if a functor is a explicitly defined function between categories, or the standard morphism between categories in the traditional category of categories

>>11181448
you keep using words like "morphisms" and "category of categories" but you don't know what a functor is. weird.

>>11181036
>mental illness
What an utter idiot

>>11181448
>>11181448
>more conceivable ways to map categories to each other then the structure preserving way.
Yes, but they're meaningless and obviously excluded. Morphisms preserve structure by definition. A category morphism is going to preserve category structure.
>or the standard morphism between categories in the traditional category of categories
What "standard morphism between categories" are you talking about here? I've never seen anyone talk about a category of categories that has something other than functors as arrows.

>>11181460
what do you not understand of what im saying?

>>11181464
So its generally meaningless to talk about maps that arent structure preserving, and functors are morphisms of categories, not any map from one categorie to another. Thanks you for helping. I gotta get out of this hell hole.

>>11181465
I mean your question the same as
>what exactly is a continuous map ? is it simply a morphism in the category of topological spaces ?
if you don't see the irony in it, I can't help you

>was invited to a comfy balkan uni
>can't go cause I'm brown and will be beaten by skinheads

god I wish I was white

>>11181484
Its not at all like that, continuous maps are homomorphisms

>>11180968

>>11181490
behold the undergrad category theorist

>>11181494
Topologically speaking, why are they not

>>11181490
please believe me that I'm saying this with your best interests in my mind: go back to your abstract algebra or real analysis and let category theory rest for a year or so. your posts are screaming that you don't have enough maturity yet.

>>11180957
You know what the irony is? If he would just sit down and simply read and/or try a few different linear algebra textbooks (you can get them via interlibrary loan system so this "patches" his problem with discipline) he might find one janky author that, while not well suited for most people, writes and explains in the way they need to really comprehend the material, accelerating him faster then if he were to have just picked the canonical solution.

>>11181462
>What an utter idiot
??

>>11181487
Go to a German/French/Swedish Uni and get worshipped as an exotic deity by cute young white women.

I have been looking around around the net for information but I am still very curious. Is Set theory, zero and first order logic the most foundamental principles of math? Are there even more deeper and more abstract tools and structures that are used in math?

>>11181430
>I reject it
Do you read your own posts? >>11180214 implies that AI is totally fine with you.

>>11181506
whats wrong with what i said, its my understanding that continuous maps are structure preserving in topolgy?

>>11177932
>>11178139

u=sinhx ^^

>>11181510
There's absolutely nothing wrong with being a homosexual, I thought /sci/ was better than /pol/

>>11181549
>11181510 (You) #
>There's absolutely nothing wrong with being a homosexual,
Of course there is.
For example it keeps you from spreading your genes, which for a creature, which only inherent material goal it is to spread it's genes, is a very devastating deficiency.


>/pol/
Fascism is the most homoerotic ideology. It is pretty much based upon the rejection of femininity and the embracing of male "brotherhood".

>>11181554
>which only inherent material goal it is to spread it's genes
That's by your definition which doesn't equal an objective definition.

>>11181276
I assumed you were using squares so the angle is the general form of the object, that's a very specific set of nonarbitrary relationships to achieve a square top and bottom, the angles are irrespective to the lengths if you want squares and not rectangles
I'm very confident they will work out for your dollhouse, I rounded the trig values for exacts assuming your tools don't have precision down to the 10th

>>11181557
>That's by your definition which doesn't equal an objective definition.
It literally is the only thing nature cares about, it OBJECTIVELY is the only material goal.

Sure, you can come up with immaterial goals, happiness, avoiding pain, God, etc. but they are all immaterial.

>>11181560
>It literally is the only thing nature cares about
How do you know nature cares about it and why should nature be the one who decides what is objectivity or not?

>>11181563
>How do you know nature cares about it
Because LITERALLY every single being except mentally ill humans seek to further their genes.

>why should nature be the one who decides what is objectivity or not?
Are you retarded?
This question doesn't even make sense, why should something be objective if it is objective?
Nature IS what defines objectivity, it is what is OUTSIDE the subjective view of humans.

You are clearly retarded, I honestly expected a better discussion from this but you do not seem to be able to grasp very basic concepts.
Good night.

>>11181570
Sorry, I only discuss with people familiar with Wittgenstein and Kierkegaard, you clearly are not, so to me your existence is of little to no importance therefore there's no need to debate or even engage in any form of communication with you. A very good night as well.

>>11181554
So what you're saying is, Gay Men are literally Nazis?

>>11181576
>tries to name drop Wittgenstein and Kierkegaard to end conversation
>Can't do Linear Algebra without strangers holding his hand

wittgenstein? oh, you mean wittgestupiddumbpoohead.

>>11181512

We aren't exotic in western europe lmao, been to to germany and france already and I look like a local compared to some people I saw.

>>11181384
Didnt study

>>11181720
retard

>>11181392
Wow, looks like a very nice, clear and concise book about Lie groups and much more. I'm going to check this book out more thoroughly. Thanks

>>11181752
it's good if you haven't taken difgeo and want to get your lips wet, but don't expect much overall generality.

>>11181560
>nature has telos
Why are scientistics like this?

>>11181763
>>nature has telos
>Why are scientistics like this?
Teleological analysis is an extremely convenient and natural analytic toolin biology, economics, sociology, psychology and similar sciences.
IIRC there's also some stuff elsewhere where utility formalism is nice

I don't care if everyone says combinatorics is a sidenote in discrete math or graph theory or whatever else, to me it stands on its own, a true friend in the cold winter months.

ok so say i have these 4 ks
k k k k
and i have these 4 xs
x x x x
and i want to know how many different ways i can order it so that the ks stay where they are but i can put the xs anywhere (if that makes sense)
so i could arrange it like
x x x x k k k k
or
x x x k x k k k
or
x k x k x x k k
or
x x k k k k x x

does that make sense?
and more generally how can i do this with any number of ks and any number of xs?
thanks

>>11181808
it doesn't make sense unless I'm missing something, the ks aren't staying where they are.
for the ks to stay where they are I'd assume you mean
xxxxkkkk
xxxkkkkx
xxkkkkxx
etc but that's clearly not what you mean, and even then I'd say those ks aren't staying where they are so clarify what you mean

>>11181824
okay so instead of k imagine them as k1, k2, k3 and k4
so you have k1 k2 k3 k4 in that order and they must remain in that order and you can order the xs any way around them
like
x x x k1 k2 x k3 k4
or
k1 x k2 x x k3 k4 x

so the ks have to stay in that order but for the xs order doesn't matter
does that make more sense? sorry for being really unclear

lmao I made that meme years ago OP. glad you saved it

>>11181840
I'm not sure of the answer
x x x x k1 k2 k3 k4
this is one configuration, with n! possibilities for the number of x's
Each "step" will be n! possibilities, so we're looking for the number of steps which will depend on the number of k's and x's.
But once you have the number of steps to go from
x1 x2 ... xn k1 k2 .... km
to
k1 k2 ... km x1 x2 ... xn
then it's that number of steps * n!

probably someone else here is better at this than I am

y no Android app support for muh mathcodes?

>>11177000
\color{#5900b2}{\text{b}}\color{#0516dd}{\text{i}}\color{#0b72a8}{\text{g}}\color{#1a9f9f}{\text{ }}\color{#06ee9a}{\text{b}}\color{#27f636}{\text{r}}\color{#b4c034}{\text{a}}\color{#ef6c00}{\text{i}}\color{#d12a00}{\text{n}}\color{#b20000}{\text{ }}

>>11176655
<math xmlns="http://www.w3.org/1998/Math/MathML">
<mstyle mathcolor="#4668c4">
<mtext>I&#xA0;</mtext>
</mstyle>
<mstyle mathcolor="#557faf">
<mtext>be</mtext>
</mstyle>
<mstyle mathcolor="#64959a">
<mtext>t&#xA0;</mtext>
</mstyle>
<mstyle mathcolor="#73ac85">
<mtext>yo</mtext>
</mstyle>
<mstyle mathcolor="#81b874">
<mtext>u&#xA0;</mtext>
</mstyle>
<mstyle mathcolor="#8fb969">
<mtext>br</mtext>
</mstyle>
<mstyle mathcolor="#9cbb5e">
<mtext>ai</mtext>
</mstyle>
<mstyle mathcolor="#aabc53">
<mtext>nl</mtext>
</mstyle>
<mstyle mathcolor="#b7ba4b">
<mtext>et</mtext>
</mstyle>
<mstyle mathcolor="#c2b446">
<mtext>s&#xA0;</mtext>
</mstyle>
<mstyle mathcolor="#cdaf42">
<mtext>ca</mtext>
</mstyle>
<mstyle mathcolor="#d8a93d">
<mtext>n'</mtext>
</mstyle>
<mstyle mathcolor="#de9538">
<mtext>t&#xA0;</mtext>
</mstyle>
<mstyle mathcolor="#dd7431">
<mtext>mu</mtext>
</mstyle>
<mstyle mathcolor="#dc532b">
<mtext>lt</mtext>
</mstyle>
<mstyle mathcolor="#db3224">
<mtext>iL</mtext>
</mstyle>
<mstyle mathcolor="#cc202f">
<mtext>in</mtext>
</mstyle>
<mstyle mathcolor="#b01e4c">
<mtext>e</mtext>
</mstyle>
</math>

How can I make four 4s become 37?

You can use any operations you want, but you can only use four numbers 4.

>>11182030
def +(a,b): a+b = 37
let a = 4, b = 4

>>11182030
>>11182076
oh sorry I misread, need to use four numbers

def *(a,b): a+b = 37
4*4 + d/dx 4 + d/dx 4

>>11176781
>>11176906
>>11177006
>>11179034
>>11179255
>>11182000
>>11182006
You need to leave.
>>11182030
Be specific.
If anything (in the wikipedia page) counts
[math]4! + 4 / . \overline{4} +4 = 37[/math]

>>11182079
>d/dx
What does this mean?

>>11182079
wait that was badly defined
let * be a binary operation a*b: a*b = 37
whatever you get the idea, define your own binary operation to be a smug asshole "hurr you said any operation"

>>11182088
it's d divided by dx, leaving 1/x

>>11182084
Yup, I think that's the actual answer, a friend of mine posed this puzzle but didn't say how to do it.

How do I parametrize the following vector function so each component is in terms of u,v?
F = (yz, 2xz, e^(xy))

>>11182030
[eqn]
\frac{\sqrt4 +4!}{\sqrt4} + 4! = 37
[/eqn]

im a dumb fucking brainlet though this is probably wrong

>>11182123
That is fucking trivial

>>11182132
I don't know what to do

>>11182128
Oh, nice one. That's right.

>>11182133
Go to humanities, give up on STEM, you won't make it.

>>11176582
Check my proof for validity plz

1/2

>>11182136
Can you stop being a dick and give me a hint, I couldn't find anything in the book about it

>>11182137
2/2

>>11182137
https://www.latex-project.org/

>>11182140
There's supposed to be an equal sign between omega sub z and the rest of it, so that's an error, sorry.

>>11182123
ANON
A
N
O
N
WHAT ARE u AND v? AM I SUPPOSED TO PICK THEM OUT?

>>11182144
the goal is to write the function in terms of two variables, so F = (x(u,v), y(u,v), z(u,v))

>>11182142
This is the final axiom, the Axiom of Teleological Recurrence, but the rest would take too long to type up right now because I'm lazy.

>>11182147
ANON
DO YOU WANT A FUCKING SPACE FILLING CURVE FROM R^2 TO R^3 OR SOMETHING?

>>11182030
>You can use any operations you want
#(4,4,4,4) = 37 where #(a,b,c,d) is a 4-ary operation such that #(a,b,c,d) = 37.

>>11182139
Sure, you're hint is next week, early Monday, go talk to your academic councilor about changing your major to women's studies, since you're good at complaining,

>>11182158
Fuck off dumb nigger. I don't think you can even solve the problem

>>11182088
it's taking a derivative, if you haven't learned it yet don't worry about it, you'll get to it

>>11182132
>>11182136
>>11182158
imagine coming to a small corner of a sudanese woodworking BBS and typing these things in a sad attempt at flexing
how can a person's life go so wrong that they would feel this is a good decision

>>11182137
math doesn't work like that 10sq 10sq is not 10 + 10 10 - 10
youre adding information you didn't start with that's the trick

>>11182173
its affirming the consequent i

>>11182173
No it's just an advanced, paraconsistent form of mathematics where everything means something different from the start that I won't explain

>>11182181
I don't know how well you mathematicians are off in the logical arena but if you're determining your own logical space you're not working in any space that can be correlated to reality

>>11182186
Math is prior to reality platonically because math generates reality. Create a new math and you create a new reality.

>>11182191
more consequent affirming there is a prior existence to mathematics that generates the math that generates space. math generates space and we use space to generate math, you don't get to generate math and describe space outside a synthetic reality

>>11182199
It's recursive

I want to get into real math but iv'e been told that first I need to git gud at proofs.

What should be my first intro to proofs book?

>>11182204
who told you that?

>>11182201
regardless you can't describe objects with algebra like that. show me a geometry described by that algebra

>>11182208
Iv'e from pretty much everyone that real math requires a solid understanding of writing proofs.

Honestly I just want a shit test to see if I can hack it as a mathematician. I have a really good verbal/reasoning IQ at 133-139 but my working memory is nigger tier at 84.

>>11182209

>stop asking stupid shit in /mg/ edition
>I've never fucking seen so much stupid shit in /mg/
My bad, never doing that edition or anything like it again, completely backfires.
>>11181254
>3 is 115
>he ran out of greek letters mid calculation, so he just named an angle three
Kek.

>>11182218
lol no

>>11182217
The book that I was given was Mathematical Proofs: A Transition to Advanced Mathematics by by Gary Chartrand , Albert D. Polimeni , Ping Zhang.

There are other books out there that are probably better, but this at least gives you a starting point.

>>11182225
http://users.metu.edu.tr/serge/courses/111-2011/textbook-math111.pdf
This is what i'm currently planning on reading but I really want to know if there's any better options. I'd hate to read a difficult 400 page book only realize later that there were better options.

>>11181369
ntnu?

>>11182232
I can't say if the book I used is any better then your book. The way person A relates to Books 1 and 2 might not be the way person B relates to those same books.

That being said, reading a textbook isn't as important as the quality of the exercises provided anyways.

> I'd hate to read a difficult 400 page book only realize later that there were better options.
Sorry but that comes with the territory. Imagine someone who studies a subject from a book for a year, only to discover that a new book for that subject was just released and, as far as you are concerned, you believe it to be better then your current book. Does that mean you wasted an entire year of your life because that book was not available yet? Of course not, if anything, your efforts to push through the first book will help you in understanding the new book.

I understand the desire to optimize your study routine, but at some point, such research yields diminishing returns that could be better spent just studying the subject you're interested in

>>11182156
any operations you want except for being a wiseass

>>11182204
How to Prove It. I'm gonna do it during winter vacations, hope to get a good level at proof-based math because next semester I will be studying Analysis and Abstract Algebra at college.

>>11182204
>What should be my first intro to proofs book?
Proofbooks are a literal meme. Pick up an actual maths book instead.

>>11182217
>I have a really good verbal/reasoning IQ at 133-139 but my working memory is nigger tier at 84.
How do you know those things?

>>11182030
4+4+4+4 = 37 mod(1)

any tablet recommendations for doing math on PC?

hodge theory 4 phd dissertation?

>>11182499
Yes, with applications to twistors, [math]tt^*[/math]-geometry and Ginzburg-Landau theory. otherwise it's rejected.

>>11182505
>otherwise it's rejected.
is this common? that pure math phd dissertations are expected to have applications in physics?

>>11182517
>that pure math phd dissertations are expected to have applications in physics?
By definition, yes.

>>11182518
my experience with physicists is that they try and use the least sophisticated math possible

>>11182518
also why would a number theory or combinatorial dissertation be expected to have applications outside of being a mathematical tool?

>>11182521
>also why would a number theory or combinatorial dissertation be expected to have applications outside of being a mathematical tool?
That's the whole point of a dissertation.

>>11182517
No I was just pulling your leg. But like it or not your pure math work [math]will[/math] be applied to physics one day.

>>11182527
you lost me man i thought some people just went through the process of proving something new for its own sake

>>11182530
I'm a CC prof who did an applied MS (that I didn't care for - had an unengaged advisor), and I don't think I'm going to be able to go through life without trying to get a PhD. It'll be another couple years before I start and I want to have an idea of what I want to do in mind before going back.

>>11182475
You're using 1

>>11182538
>i thought some people just went through the process of proving something new for its own sake
What would be the point of that?

>>11182665
There's no point, that guy is an idiot plain and simple. Mathematics which has no physical grounding is hardly mathematics at all - it's masturbation at best.
For this reason, geometry and analysis are the only two relevant domains of mathematics.

>>11182720
don't be rude incel

>>11181239
Yep, took a graduate course on it. Wasn't as interesting as algebraic geometry; I'm mainly interested in low dimensional Topology tho

>>11179190
Which shithole? My ex was from south africa and I was disgusted to find out that the poor shithole area she was in had better high schools than my area had colleges.

>>11180794
>groups, but do it right. emphasize that group theory is literally study of symmetry. I've always understood the theory from the abstract point of view without any problems, but it wasn't until I got into geometry and group actions that I really got the essence.

>>11182841
greentext was by mistake, I'm serious

>>11181516
>my understanding that continuous maps are structure preserving in topolgy?
The point is we don't just care that they are structure preserving. We care *what* structure is preserved.
Similarly, functors aren't just structure preserving maps of categories, they're a specific type of structure preserving map.

>>11182845
greentext is always serious mate

>>11182241
Ja, wtf lol

>>11182841
Ah, yes. I too only understood group theory once I learned category theory. Seeing that a group is merely the set of invertible, structure preserving maps of an object to itself, that is, a groupoid with one object, really struck deep into me and gave me a newfound appreciation of the subject.

Is this math BS program a meme?

>>11183628
Absolute garbage.

>>11183628
>Complex Variables
>fifty surveys
>humanities all over
what in the tarnation

>>11183628
It's really bad, even by my monkey nigger standards.

>>11183666
>>11183675
>>11183679
What's a /sci/ approved math curriculum?

>>11183690
I'm sorry, I don't have the image, just the pasta.

>>11183690
First Semester: Linear Algebra, Real Analysis + whatever extra non math stuff you need
Second Semester: Linear Algebra, Real Analysis + whatever extra non math stuff you need
Third Semester: Abstract Algebra, Measure Theory, Complex Analysis, Analysis on Manifolds
Fourth Semester: Topology, Functional Analysis, Number Theory
Fifth Semester: Differential geometry, PDE, Algebraic Geometry
Sixth Semester: Bachelor Thesis + whatever you are interested in + Seminars

Order of the courses can be swapped if necessary. Personally, I'd also recommend some QFT and GR

>>11183712
Would Mechanical Calculus 1~3 be a prereq to this program or would it be skipped entirely in lieu of picking it up as you progress through the real analysis line?

>>11183712
This looks like a typical European math BS. I envy them, here in the US you have to go through bullshit courses for the first 2 years. I came in with over 40 credit hours (around 3 semesters) from APs, yet I still have to take 2 core classes, and don't really begin rigorous math until later. Evident by how in the US we start with Calculus, whereas in Europe they jump into Real Analysis.
Fuck the US education system, everyone knows that students bullshit the "breadth" courses, and we end up learning less than our European counterparts in the field we chose.

>>11183742
Yes, I basically copied the european math bachelor/made up something that looks close enough.
To be fair, I used to think that the european model was superior, but I think there is something positive about allowing undergrads to explore different topics/not forcing them into one directiuon right at the start. They might overdo this at some points, but student that actually have interest in math still gain enough knowledge, while not hindering other student in the exploration of other topics. Only thing that irritates me are non proof math math courses in a math undergrad program, that shit has to go.

>>11183742
>European math BS
here's my certified authentic yurop BS programme (theoretical spec)
>Semester 1
Mathematical Analysis 1
Intro to Algebra and Number Theory
Intro to Mathematics
Elementary math "repetitorium"
IT (basically excel + tex + some random multimedia)
Linear Algebra 1
>Semester 2
Mathematical Analysis 2
Analytic Geometry
Linear Algebra 2
Algorithms and Programming
PE
>Semester 3 (specialization actually begins)
Mathematical Analysis 3
Algebra
Topology
Combinatorics
PE
>Semester 4
Logic
Differential Geometry
Measure Theory and Integrals
Elective
Elective
>Semester 5
Differential Equations
Analytical Functions
Elements of Numerical Methods
Probability Theory
BS Seminar
>Semester 6
Elements of Statistics
Elements of Business?
Humanities Elective
Job Practice
Elective
BS Seminar

It's worth mentioning that you're expected to pass a B2 level foreign language cert test after a minimum of a single semester's worth of it.
I've yet to see whether those 'electives' are actually elective and not predetermined but that doesn't matter to me, I'm taking whatever extra courses I feel like.

>>11183712
>six semesters
>functional analysis without topolgy
>measure theory without topology
>analysis on manifolds without topology
>one(1) semester of abstract algebra
>apparently, two semesters of real analysis covers calculus, multivariable calculus, Lebesgue integration, series and sequences, Fourier series, Fourier transforms, Laplace transforms, ODEs and some numerical analysis
The general level isn't wrong, but the curriculum is essentially nonsense.

>>11183888
What's wrong with one semester of abstract algebra? Seems good enough as a basis to me.
And two semesters really sound little. I had three and didn't even see Fourier transforms. I think we had Fourier series, but I blacked out there.

>>11183884
Just how much CP would that be worth? Looks like some 300 behemoth.
That aside, I only had Real Analysis and Linear Algebra and that were already 22 CP.
Number theory is neat to play around, but I don't think it should be compulsory.

>>11183920
>Just how much CP would that be worth?
https://www.youtube.com/watch?v=4wX2xBOuzRg