⁕ pure math undergrad ⁕ in love with anything algebraic ⁕
292 posts
I got 55 and it seems to me that the majority of my answers were heavily influenced by asd
I took a test on like where you are on the ‘nonverbal intimacy scale’ and the average female score is 102 and male is 93.8 and I got 56 lolololol
here it is if ya want (reblog/reply w/ what you get!!)
25 XII 2022
this chunk of the semester is finally over, sweet jesus I'm so exhausted. I'm getting the well-deserved rest and later catching up with all the things I put on my to-do list that I kinda learned but not really
the test I had last week went fine. frankly I expected more from it after solving more than 50 problems during my prep, but I scored 74%, which is objectively great and more than I predicted after submitting my solutions
here is my math plan for the break:
in algebraic methods I started falling behind a few weeks ago when I missed two lectures while being sick. they were about resolutions, derived functors and group homology and afterwards I wasn't really able to stay on top of my game like before. high time to get back on track. in commutative algebra I was doing ok, but there are some topics I neglected: finite and integral maps and Noether's normalization. for complex analysis everything is great until we introduced the order of growth and recently we've been doing some algebraic number theory, which btw is a huge disappointment. don't get me wrong, I understand the significance of Riemann's ζ, but the problems we did all consisted of subtle inequalities and a lot of technical details. I am doing mainly algebraic stuff to avoid these kind of things lol
when we were doing simplicial sets I stumbled upon some formulas for the simplicial set functor and its geometric realization and I thought it to be a nice exercise to probe them, so here it is:
I won't know if this proof actually works until I attend office hours to find out, but I am satisfied with the work I put into it
I already started making some notes on the derived functors
other than that I have this nice book that will help me prepare for writing my thesis, so I'd like to take a look at that too
as for the non-math plans, I am rewatching good doctor. my brain has this nice property that after a year has passed since finishing a show I no longer remember anything, the exponential distribution is relatable like that. this allows endless recycling of my favourite series, I just need to wait
I wish you all a pleasant break and I hope everyone is getting some rest like I am
remember if you ever want to read an article for free and the subscription ad prevents you from reading the entire article DO NOT
Reload it and immediately turn off your Internet access (data/WiFi if you are using a phone)
Reload it and click the 'X' next to the return icon on the top left of your window (if you are on desktop)
Reload the page, type 'Ctrl+ A' and 'Ctrl+ C' and paste everything onto an open document
this has worked for me 97ish % everytime hope this works for u too
hey be nice to me im just a teenage girl who has legally been an adult for years
eigenvalues are just the TLDR for a matrix
I am so fucking normal right now. *stands perpendicular to the tangent of the plane*
Thank you, /r/ProgrammerHumor, I love you endlessly.
Redditors competing to make the worst volume sliders possible...
guy next to me at work is french and fucking insufferable about it. "chebyshev's inequality? i'm not familiar... do you perhaps mean l'inégalité de bienaymé-tchebychev?" "snell's law? i only know of snell-descartes.." every day he emails me a list of all fields medalists from l'école normale supérieure
abstract algebra things that are good:
groups. i love taking inverses
fields. i LOVE taking inverse
banach algebras. i love having a notion of distance, and also being a complete space
lie groups. i dont know anything about them yet. but they seem so cool. technically groups
abstact algebra things that are bad:
rings. god i hate rings so much. theres like a thousand different kinds of rings, some of which are subsets of each other, and some of which have different names but are actually the same.
Me, playing poker: Man, I fold
The sphere sat across the table: yes?
Artificial intelligence makes accurate sheep counting.
Real estate agent, 5 minutes into the meeting with a topologist: So, when you were talking about "contracting" a "house with two rooms",
Someone is bisexual if they are both monosexual and episexual
12 XII 2022
I have a test at the end of this week so I am mostly grinding for that, kinda ignoring other things along the way, planning to catch up with them during the christmas break
the new update for my tablet's OS brought the option to insert pictures into the notes, so now I can paste the problem statements directly from the book. I am not sure if this is actually efficient but it surely looks better and the notes are more readable
(I can't vouch for the correctness of those tho lol I just started learning about the Rouché's theorem)
I have been trying to keep up with the material discussed in lectures on commutative algebra and agebraic methods. with each lecture there is a set of homework problems to solve and I predefined a standard for myself that this week it's alright if I don't do the homework because grinding for the test is more important
I made some pretty notes on valuation rings
during the break I need to study finite and integral ring maps and valuation rings for commutative algebra course; resolutions, derived functors and universal coefficients theorem for algebraic methods course. I feel pretty good about the test that's coming up. sure, you can never be too prepared but so far I've been able to solve a good part of the problems I tried, so I should be ok
If a homomorphism is a structure preserving map and an isomorphism is a bijective homorphism, does that mean an isosexual is a bijective homosexual?
omg this + bonus points if this is yet another "autistic genius" representation. don't even get me started on how harmful both of those things are for various reasons
Fuck the way media talks about “child prodigies” and “geniuses” especially in fields like music and mathematics.
Like they are gods whose level of understanding we could never reach.
How come we rarely hear about all the people who started young and then fizzled out? How come we never hear the stories of people who started late in life and made a huge difference.
Why do we only hear about their natural aptitude and not the hard work and misteps they took to get there.
For gods sake…
Terry is just a guy!
“Hello all. In a fellow mathposter's topology class they were not allowed to use the word "trivially" or any synonym thereof his proofs. The person presenting his work then crossed out "trivially" and wrote instead "indubitably." This inspired him to write a program that will insert condescending adverbial phrases before any statement in a math proof. Trivially, this is a repost. Below is the list--please come up with more if you can!
Obviously
Clearly
Anyone can see that
Trivially
Indubitably
It follows that
Evidently
By basic applications of previously proven lemmas,
The proof is left to the reader that
It goes without saying that
Consequently
By immediate consequence,
Of course
But then again
By symmetry
Without loss of generality,
Anyone with a fifth grade education can see that
I would wager 5 dollars that
By the contrapositive
We need not waste ink in proving that
By Euler
By Fermat
By a simple diagonalization argument,
We all agree that
It would be absurd to deny that
Unquestionably,
Indisputably,
It is plain to see that
It would be embarrassing to miss the fact that
It would be an insult to my time and yours to prove that
Any cretin with half a brain could see that
By Fermat’s Last Theorem,
By the Axiom of Choice,
It is equivalent to the Riemann Hypothesis that
By a simple counting argument,
Simply put,
One’s mind immediately leaps to the conclusion that
By contradiction,
I shudder to think of the poor soul who denies that
It is readily apparent to the casual observer that
With p < 5% we conclude that
It follows from the Zermelo-Fraenkel axioms that
Set theory tells us that
Divine inspiration reveals to us that
Patently,
Needless to say,
By logic
By the Laws of Mathematics
By all means,
With probability 1,
Who could deny that
Assuming the Continuum Hypothesis,
Galois died in order to show us that
There is a marvellous proof (which is too long to write here) that
We proved in class that
Our friends over at Harvard recently discovered that
It is straightforward to show that
By definition,
By a simple assumption,
It is easy to see that
Even you would be able to see that
Everybody knows that
I don’t know why anybody would ask, but
Between you and me,
Unless you accept Gödel’s Incompleteness Theorem,
A reliable source has told me
It is a matter of simple arithmetic to show that
Beyond a shadow of a doubt,
When we view this problem as an undecidable residue class whose elements are universal DAGs, we see that
You and I both know that
And there you have it,
And as easy as ABC,
And then as quick as a wink,
If you’ve been paying attention you’d realize that
By the Pigeonhole Principle
By circular reasoning we see that
When we make the necessary and sufficient assumptions,
It is beyond the scope of this course to prove that
Only idealogues and sycophants would debate whether
It is an unfortunately common misconception to doubt that
By petitio principii, we assert that
We may take for granted that
For legal reasons I am required to disclose that
It is elementary to show that
I don’t remember why, but you’ll have to trust me that
Following the logical steps, we might conclude
We are all but forced to see that
By the same logic,
I’m not even going to bother to prove that
By Kant’s Categorical imperative,
Everyone and their mother can see that
A child could tell you that
It baffles me that you haven’t already realized that
Notice then that
Just this once I will admit to you that
Using the proper mindset one sees that
Remember the basic laws of common sense:
There is a lovely little argument that shows that
Figure 2 (not shown here) makes it clear that
Alas, would that it were not true that
If I’m being honest with you,
According to the pointy-headed theorists sitting in their Ivory Towers in academia,
We will take as an axiom that
Accept for the moment that
These are your words, not mine, but
A little birdie told me that
I heard through the grapevine that
In the realm of constructive mathematics,
It is a theorem from classical analysis that
Life is too short to prove that
A consequence of IUT is that
As practitioners are generally aware,
It is commonly understood that
As the reader is no doubt cognizant,
As an exercise for the reader, show that
All the cool kids know that
It is not difficult to see that
Terry Tao told me in a personal email that
Behold,
Verify that
In particular,
Moreover,
Yea verily
By inspection,
A trivial but tedious calculation shows that
Suppose by way of contradiction that
By a known theorem,
Henceforth
Recall that
Wherefore said He unto them,
It is the will of the Gods that
It transpires that
We find
As must be obvious to the meanest intellect,
It pleases the symmetry of the world that
Accordingly,
If there be any justice in the world,
It is a matter of fact that
It can be shown that
Implicitly, then
Ipso facto
Which leads us to the conclusion that
Which is to say
That is,
The force of deductive logic then drives one to the conclusion that
Whereafter we find
Assuming the reader’s intellect approaches that of the writer, it should be obvious that
Ergo
With God as my witness,
As a great man once told me,
One would be hard-pressed to disprove that
Even an applied mathematician would concede that
One sees in a trice that
You can convince yourself that
Mama always told me
I know it, you know it, everybody knows that
Even the most incompetent T.A. could see,
This won't be on the test, but
Take it from me,
Axiomatically,
Naturally,
A cursory glance reveals that
As luck would have it,
Through the careful use of common sense,
By the standard argument,
I hope I don’t need to explain that
According to prophecy,
Only a fool would deny that
It is almost obvious that
By method of thinking,
Through sheer force of will,
Intuitively,
I’m sure I don’t need to tell you that
You of all people should realize that
The Math Gods demand that
The clever student will notice
An astute reader will have noticed that
It was once revealed to me in a dream that
Even my grandma knows that
Unless something is horribly wrong,
And now we have all we need to show that
If you use math, you can see that
It holds vacuously that
Now check this out:
Barring causality breakdown, clearly
We don't want to deprive the reader of the joy of discovering for themselves why
One of the Bernoullis probably showed that
Somebody once told me
By extrapolation,
Categorically,
If the reader is sufficiently alert, they will notice that
It’s hard not to prove that
The sophisticated reader will realize that
In this context,
It was Lebesque who first asked whether
As is tradition,
According to local folklore,
We hold these truths to be self-evident that
By simple induction,
In case you weren’t paying attention,
A poor student or a particularly clever dog will realize immediately that
Every student brought up in the American education system is told that
Most experts agree that
Sober readers see that
And would you look at that:
And lo!
By abstract nonsense,
I leave the proof to the suspicious reader that
When one stares at the equations they immediately rearrange themselves to show that
This behooves you to state that
Therefore
The heralds shall sing for generations hence that
If I’ve said it once I’ve said it a thousand times,
Our forefathers built this country on the proposition that
My father told me, and his father before that, and his before that, that
As sure as the sun will rise again tomorrow morning,
The burden of proof is on my opponents to disprove that
If you ask me,
I didn’t think I would have to spell this out, but
For all we know,
Promise me you won’t tell mom, but
It would be a disservice to human intelligence to deny that
Proof of the following has been intentially omitted:
here isn’t enough space in the footnote section to prove that
Someone of your status would understand that
It would stand to reason that
Ostensibly,
The hatred of 10,000 years ensures that
There isn’t enough space in the footnote section to prove that
Simple deduction from peano’s axioms shows
By a careful change of basis we see that
Using Conway’s notation we see that
The TL;DR is that
Certainly,
Surely
An early theorem of Gauss shows that
An English major could deduce that
And Jesus said to his Apostles,
This fact may follow obviously from a theorem, but it's not obvious which theorem you're using:
Word on the streets is that
Assuming an arbitrary alignment of planets, astrology tells us
The voices insist that
Someone whispered to me on the subway yesterday that
For surely all cases,
Indeed,
(To be continued)
no fuckin way
Very funny when mathematicians call weird edge cases "pathological".
Mathematician looking at a function that's continuous everywhere but differentiable nowhere: yeah that function has something wrong with it.
being a humanities major who’s friends with stem majors is so funny because you’ll ask your friends what they’re doing today and they’re like “UGH it’s so stressful i have to stabilize the reactor core for my nuclear power midterm and then i have to build the supercomputer from i have no mouth yet i must scream for my electrical engineering homework :/ what about you” and you’re like “oh well i have to read a fun little book and write an essay about gender.” and they still think you have it worse
What math classes have you taken?
What math classes did you do best in?
What math classes did you like the most?
What math classes did you do worst in?
Are there areas of math that you enjoy? What are they?
Why do you learn math?
What do you like about math?
Least favorite notation you’ve ever seen?
Do you have any favorite theorems?
Better yet, do you have any least favorite theorems?
Tell me a funny math story.
Who actually invented calculus?
Do you have any stories of Mathematical failure you’d like to share?
Do you think you’re good at math? Do you expect more from yourself?
Do other people think you’re good at math?
Do you know anyone who doesn’t think they’re good at math but you look up to anyway? Do you think they are?
Are there any great female Mathematicians (living or dead) you would give a shout-out to?
Can you share a good math problem you’ve solved recently?
How did you solve it?
Can you share any problem solving tips?
Have you ever taken a competitive exam?
Do you have any friends on Tumblr that also do math?
Will P=NP? Why or why not?
Do you feel the riemann zeta function has any non-trivial zeroes off the ½ line?
Who is your favorite Mathematician?
Who is your least favorite Mathematician?
Do you know any good math jokes?
You’re at the club and Andrew Wiles proves your girl’s last theorem. WYD?
You’re at the club and Grigori Perlman brushes his gorgeous locks of hair to the side and then proves your girl’s conjecture. WYD?
Who is/was the most attractive Mathematician, living or dead? (And why is it Grigori Perlman?)
Can you share a math pickup line?
Can you share many math pickup lines?
Can you keep delivering math pickup lines until my pants dissapear?
Have you ever dated a Mathematician?
Would you date someone who dislikes math?
Would you date someone who’s better than you at math?
Have you ever used math in a novel or entertaining way?
Have you learned any math on your own recently?
When’s the last time you computed something without a calculator?
What’s the silliest Mathematical mistake you’ve ever made?
Which is better named? The Chicken McNugget theorem? Or the Hairy Ball theorem?
Is it really the answer to life, the universe, and everything? Was it the answer on an exam ever? If not, did you put it down anyway to be a wise-ass?
Did you ever fail a math class?
Is math a challenge for you?
Are you a Formalist, Logicist, or Platonist?
Are you close with a math professor?
Just how big is a big number?
Has math changed you?
What’s your favorite number system? Integers? Reals? Rationals? Hyper-reals? Surreals? Complex? Natural numbers?
How do you feel about Norman Wildberger?
Favorite casual math book?
Do you have favorite math textbooks? If so, what are they?
Do you collect anything that is math-related?
Do you have a shrine Terence Tao in your bedroom? If not, where is it?
Where is your most favorite place to do math?
Do you have a favorite sequence? Is it in the OEIS?
What inspired you to do math?
Do you have any favorite/cool math websites you’d like to share?
Can you reccomend any online resources for math?
What’s you favorite number? (Wise-ass answers allowed)
Does 6 really *deserve* to be called a perfect number? What the h*ck did it ever do?
Are there any non-interesting numbers?
How many grains of sand are in a heap of sand?
What’s something your followers don’t know that you’d be willing to share?
Have you ever tried to figure out the prime factors of your phone number?
If yes to 65, what are they? If no, will you let me figure them out for you? 😉
Do you have any math tatoos?
Do you want any math tatoos?
Wanna test my theory that symmetry makes everything more fun?
Do you like Mathematical paradoxes?
👀
Are you a fan of algorithms? If so, which are your favorite?
Can you program? What languages do you know?
BCC
A minimal figure-eight knot on the body-centered cubic lattice
(source code)
Right. So. A Tarot sequence of three cards, A -> B -> C is exact if everything you take from A as part of B is all that you leave behind when you interpret B as part of C.
For example let's look at a relationship spread:
Self -> Other -> Dynamic
Start with the Self, then identify the self with aspects of the Other; those aspects are precisely the parts of the Other that you ignore when interpreting the Other in the Dynamic. With me so far?
Let's add another link to the sequence:
Self -> Other -> Dynamic -> void
"void" has no card. It has no interpretation, consumes all, and yields nothing. All aspects of the Dynamic are consumed by the void, but when we know this sequence to be exact this tells us much:
The aspects of the Self that we see in the Other are those parts we leave behind when we see the Other in the Dynamic. The aspects of the Other that we see in the Dynamic are those parts we leave behind in the void (which is everything). So for this sequence to be exact we know that the Dynamic is fully explored by those parts of the Other than we cannot identify with the Self.
25 XI 2022
I neglected this blog a little, a lot is going on right now
I have a lot of work and I'm barely keeping up, I was sick for two weeks because not going to school would result in even more problems, so the cold didn't want to go away. I'm fine now but the lack of sleep is still fucking with my cognitive performance and I'm in general very exhausted both physically and mentally
today I had a meeting with the dean to talk about the accommodations for adhd and asd and it went very well, he is such a nice guy. we discussed extended time on tests, getting more specific instructions from professors and just a bit of extra care so I don't get overwhelmed. we also talked about a mentor who would help me with organizing my studying and the dean said that he will find someone who would help me with progressing in my field of interest, which sounds very promising. I don't know yet what that's gonna be, maybe algebraic topology, maybe something leaning more towards algebraic geometry, we'll see
when it comes to what I'm doing right now, we did some more stuff from homological algebra (projective and injective objects, derived functors and group homology) and the topics from commutative algebra have more geometric motivations, so the course becomes more and more enjoyable. learning complex analysis is much easier than those two other courses because there is significantly less theory and even if the problems are super difficult, it doesn't require as much brain power
other than doing homework I'm trying to find some time to read Introduction to Differential Topology by Jänich, although recently time is a scarce resource. the book is great tho
in a way. over the last two years or so. mathematics has become the altar at which I pour out my private grief, and transmute it to something like solace. it does not particularly matter to me if I am ever any good at it. what matters is that the effort I apply to it is rewarded by understanding. I have no natural aptitude for it; I am climbing this hill because it was the steepest and least hospitable to me. there is less agony in the gentler slope, but less valor
http://proof.ucalgaryblogs.ca/
This is the best resource for studying math that I've found in a while! It's 300+ pages of flawed/incorrect proofs on topics including logic, analysis, and linear algebra. Each flawed proof is followed by a classification of its errors, and a corrected version.