bsdndprplplld - you can't comb a hairy ball
you can't comb a hairy ball

⁕ pure math undergrad ⁕ in love with anything algebraic ⁕

292 posts

Latest Posts by bsdndprplplld - Page 7

2 years ago

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!!)

2 years ago

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:

25 XII 2022

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:

25 XII 2022
25 XII 2022

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

25 XII 2022

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

25 XII 2022

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


Tags
2 years ago

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

2 years ago

hey be nice to me im just a teenage girl who has legally been an adult for years

2 years ago

eigenvalues are just the TLDR for a matrix

2 years ago

I am so fucking normal right now. *stands perpendicular to the tangent of the plane*

2 years ago

Thank you, /r/ProgrammerHumor, I love you endlessly.

Redditors competing to make the worst volume sliders possible...

Thank You, /r/ProgrammerHumor, I Love You Endlessly.
Thank You, /r/ProgrammerHumor, I Love You Endlessly.
Thank You, /r/ProgrammerHumor, I Love You Endlessly.
Thank You, /r/ProgrammerHumor, I Love You Endlessly.
Thank You, /r/ProgrammerHumor, I Love You Endlessly.
Thank You, /r/ProgrammerHumor, I Love You Endlessly.
Thank You, /r/ProgrammerHumor, I Love You Endlessly.
Thank You, /r/ProgrammerHumor, I Love You Endlessly.

Thank You, /r/ProgrammerHumor, I Love You Endlessly.
Thank You, /r/ProgrammerHumor, I Love You Endlessly.
2 years ago

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

2 years ago

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.

2 years ago

Me, playing poker: Man, I fold

The sphere sat across the table: yes?

2 years ago

Artificial intelligence makes accurate sheep counting.

2 years ago

The Washington Post's Mensa Invitational invited readers to take any word from the dictionary, alter it by adding, subtracting, or changing one letter, and supply a new definition.

Here are the winners:

The Washington Post's Mensa Invitational Invited Readers To Take Any Word From The Dictionary, Alter
2 years ago
2 years ago

Real estate agent, 5 minutes into the meeting with a topologist: So, when you were talking about "contracting" a "house with two rooms",

2 years ago

Someone is bisexual if they are both monosexual and episexual

2 years ago

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

12 XII 2022
12 XII 2022

(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

12 XII 2022

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


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2 years ago

If a homomorphism is a structure preserving map and an isomorphism is a bijective homorphism, does that mean an isosexual is a bijective homosexual?

2 years ago

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!

2 years ago

When banned from using "trivially" in a proof...

“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)

2 years ago

no fuckin way

No Fuckin Way
No Fuckin Way
2 years ago

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.

2 years ago

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

2 years ago

Real’s Math Ask Meme

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?

2 years ago
BCC

BCC

A minimal figure-eight knot on the body-centered cubic lattice

(source code)

2 years ago

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.

2 years ago

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

25 XI 2022
25 XI 2022

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

25 XI 2022

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2 years ago

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

2 years ago

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.

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