I want to follow all of you!
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?
25 VIII 2022
I found the most beautiful math book I have ever seen
it covers the basics of algebraic topology: homotopy, homology, spectral sequences and some other stuff
one of the authors (Fomenko) was a student when this book was being published, he made all the drawings. imagine being an artist and a mathematician aaand making math art
just look at them
other than those drawing masterpieces there are illustrations of mathematical concepts
I'm studying homology right now, so it brings me joy to know that this book exists. I don't know how well it's written yet, but from skimming the first few pages it seems fine
I just finished watching a lecture about exact sequences and I find the concept of homology really pretty: it's like measuring to what extent the sequence of abelian groups fails to be exact
I'm trying to find my way of taking notes. time and again I catch myself zoning out and passively writing down the definitions, so right now I avoid taking notes until it's with a goal of using the writing as a tool for acquiring understanding. I'm trying to create the representations of objects and their basic relations in my mind at first, then maybe use the process of note-taking to further analyze less obvious properties and solving some problems
I will post more about it in the future, we'll see how that goes
lmao I just imagined a situation in which someone wrote me a message about math (is math a fandom?) and after realizing that I am an adult decided that talking to me about math is suddenly dangerous, kinda funny
on a serious note, I don't have anything to add, the responses above do a very good job at showing why this is an insane thing to expect from people
@ my fellow adults who use tumblr a lot:
can you PLEASE put your age in your about/sidebar and make sure it’s accessible on mobile. imo if you’re an adult esp 20+ it’s a little weird that you wouldn’t have your age readily available on your blog. if you’re reading this now and you don’t have your age listed, please rectify that. i feel like teenagers get lured into talking to adults in fandom/lgbt spaces that they may not have intentionally sought out because they think they’re talking to other teenagers, and this can lead to a lot of other – much more insidious –problems
Every now and then I remember that Malbolge exists and I get to spend the better part of an hour cry-laughing at the world’s worst programming language
already starting off strong, but it gets worse
Wow! Sounds easy and intuitive to use! What’s the “crazy operation” you ask? We’ll get to that later. For now let’s see what a program in this language looks like :)
Thanks! I hate it!
it’s so difficult to work with that the first program was written by another brute force search program
mmmmm delicious base-3 arithmetic, what could go wrong? (For reference, that means this program forgoes the usual “0/1″ values of binary code in favor of a much more fun “0/1/2″ set of values)
ah.
Here’s how the language actually figures out what to do. It’s got 8 “simple” commands that can be executed easily by *checks notes* running the code itself through the modulo operation and taking the result.
As a bonus, on top of all that every single character in your code will now alter what every single other character does. So I hope you’re alright with cracking a cipher every time you add a new letter to your program!
oh god oh fuck.
behold, Malbolge’s primary arithmetic operation and what you’ll be using for most of your math while programming with it :)
This looks specifically designed to be the least logical math operation you could make, and knowing what the rest of Malbolge is I’d wager that’s precisely what happened. I never want to ever use this and it’s my favorite thing I’ve ever seen.
https://en.wikipedia.org/wiki/Malbolge
Anyways here’s the wiki page if you wanna read through it more deeply, I’m gonna sit here holding in my laughter staring at the hello world program again.
“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)
The proof is left as an exercise to the IRS
10 IX 2022
today I need some extra motivation to study because I didn't sleep well these past few days and it has drastic effects on my productivity, energy, motivation and what have you
also I am struggling to make the choice as to what I should do today
yesterday I started solving some basic exercises from hatcher's textbook
Δ-complex structures are becoming more intuicitve with time. take my solutions with a grain of salt, I am just starting to learn about these things and won't vouch for them lmao
some more complicated objects (the last one is an example of a lense space)
I decided to study commutative algebra today
so far I'm enjoying it. not as much as algebraic topology (which will always be my number 1) but it has its beauty
right now I'm at hom and tensor functors, the structures are fairly complicated, but pretty, and they look like they need to be studied in stages, with repetition and breaks, to fully grasp what's going on
my sensory issues are terrible today and I'm exhausted and hyperactive at the same time uh
I'll try working through a lecture on commutative algebra and give an update on how it went later
update: I studied for a while, but it wasn't going great so I decided to take a nap instead. god knows I tried
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.
13-16 VIII 2021
much work recently gotta code
gonna monitor only my focus now, define the scale such that 1 means "can't concentrate at all" and 5 means "hyperfocus". today was
focus: 2
i am not doing as much math as i'd like to as i have to focus on the python project i'm doing with bf. anyway, we can say that i did cartesian products of topo spaces, i do have some basic understanding of the concepts now. i started compact spaces. i also need to read some stuff on connectedness and put extra time into analyzing examples of what i've been learning about. so that's the next thing on my schedule, after i'm done with compact and connected spaces
but hey i have 1.5 month of the holidays left and i learned most of the theory planned for me on analysis and half of what i'm supposed to learn on topo. doing good
other than that i decided to write down the structure of how i study:
i find it to be a good way for studying math, it goes brrr like this:
general idea → details, connections and applications
i gained some followers already, i hope you guys enjoy this and possibly find it helpful. moreover, i'm very interested in your custom study algorithms if you have any
⁕ pure math undergrad ⁕ in love with anything algebraic ⁕
292 posts