/r/MathTheory
Welcome to r/MathTheory!
/r/MathTheory is a place for lay-discussion of complex mathematics including especially its non-standard forms of analysis as well as those instances which arise the fields related to constructive mathematics with some intersections in the philosophy of math at large.
Specifically, topics to be shared in this subreddit will likely be related to topos theory and algebraic geometry, categorical logic, sheaf theory, (higher and enriched) category theory, string theory, and non-Copenhagen interpretations of quantum mechanics (such as many-worlds) with their possible philosophical and theoretical implications.
Content in this subreddit is likely to be "speculative" or otherwise "experimental" in the sense of /r/SpeculativeRealism, /r/NonPhilosophy, and /r/ProcessRelational perhaps coming also with an interest in issues of mathematical creativity and pedagogy.
A specific interest is given to the history of mathematical ideas and their conceptual development and progress, in addition to the life and work of marginalized or otherwise radical mathematicians. Generally, a trans-modern if not post-postmodern outlook is warranted that stands with a roughly inter-disciplinary mentality.
While most of modern calculus today follows Newton's formal method, related concepts in this subreddit likely branch instead from Leibniz's transfer principle in the context of hyperreal numbers, as well as being in accordance with the Piercean or "pragmatist" Law of Continuity.
Similarly, while modern set theory tends to strictly adhere to ZFC foundations, this subreddit may instead choose to focus on alternative, non-paradigmatic or in any case non-well-founded set theories which themselves may or may not employ the axiom of choice.
Notable mathematicians include:
See also the Bourbaki Group, nLab Wikipedia, etc.
Related Theory Subreddits:
Related Math Subreddits:
“Mathematical wisdom, if not forgotten, lives as an invariant of all its (re)presentations in a permanently self–renewing discourse.” (Yuri Manin)
/r/MathTheory
If you consider that time is not linear, and imagine the construction of a hypercube, a cube in four dimensions, then the assembly of this hyper cube is also not linear. Therefore, each individual cube assembled, including the center cube, is both present and absent in its correct position at any given point. This would also include the outside shape of the structure; it would be present because the hyper cube is both assembled and not. I believe in a way, there is space inside a 3D hyper cube in non-linear time and there is not space. I believe this theoretical space could be related to time proving that time is indeed the fourth dimension.
This is an idea that I've had for a while but if 0/0 wasn't undefined, would it be equal to 0 or 1???
If you take any polygon you can take any side and call it a vertex because it's a 180 degree angle. It is impossible to name a polygon because it has more corners.
Found math later in life, so thanks for your time. I have recently been interested in dimensions. I watched Carl Sagan's Flatland discussion of the fourth dimension and kind of get it a little, but then I spoke to an engineer friend who only talked of the fourth dimension as a coordinate in time. Its like they are using the same word for different ideas. I think dimensions are defined as a characteristic that can be measured, but there is a tesseract, which can be measured in four dimensions and there is time which can also be measured but in a totally different ways. Is Sagan talking about a pure mathematical structure which is atemporal? If so is that dimension different from the 4 dimensions as engineers define them? Thanks.
Hi everyone, hope you are all doing well. I have an idea that I would like to develop further using mathematics. Quick background, I am a college student and my highest math taken is Cal 3. So I have a very shallow understanding of mathematics. My idea is this, I believe that there are an several forces at play within the same plane of existence, and the only reason we humans cannot experience them is because there are other forces nullifying them preventing us from experiencing them. I also believe that all of space exists in the same plane, and it is the forces I mentioned earlier that prevent us from being able to travel from plane to plane that are really in the same plane. In order to gain more insight, what mathematical theories should I be studying? Thank you all who read and respond.
Not sure if this is the right place to put this but my aunt can create a spiral stack of napkins by folding them in half over and over again. Can anyone explain the math behind why [this] (https://imgur.com/a/GJSLE) works?
I sort of randomly discovered this: For any whole number, the difference between that number and the number formed by reversing the order of its digits, will be evenly divisible by nine. (Neglect the sign)
And, Of the resulting differences, an unexpectedly large proportion will be palindromes.
Anybody heard of this? Is it provable?
r/Turkey !! Bir üçgenin 2 kenarını biliyorsak, 3. kenarının uzunluklarını bulmak için kullanmamız gereken formül şöyledir. (1. kenara "a" 2. kenara "b" diyelim, 3 kenara da x diyelim) |a-b|<x<a+b bu şekilde x = a-b ile a+b arasındaki tüm sayılar olur. Eğer bir dörtgen ya da başka bir çokgenin son kenarını bulmak istiyorsak da o çokgenleri üçgenlere böleriz ve bu metotu uygulayarak son kenarını buluruz. Bu arada x'in en büyük tam sayı değeri ise a+b'den küçük en büyük tam sayıdır. Fakat ben bu işe büyük bir kısayolu buldum. 2 kenarını bildiğimiz bir üçgen olduğunu varsayalım. 1. kenarı 3 br 2. kenarı 7 br olsun.(Değerleri tüm gerçel sayılar arasında değiştirebilirsiniz) Normal bir durumda son kenarı bulmak için kullandığınız yöntem "|3-7| < x < 7+3 = 4 < x < 10" dir. Ve bu durumda x'in en büyük tam sayı değeri 10'dan küçük en büyük tam sayı olan 9'dur. Fakat benim çok daha kısa olan yöntemime göre üstünde çalıştığınız çokgenin bilinmeyen kenarı hariç tüm kenarlarını toplayıp 1 çıkardığınızda x'in en büyük tam sayı değerini bulursunuz. Hemen kontrol edelim. 3+7-1 = 9 . Gördüğünüz gibi x'in en büyük tam sayı değerini bulduk. Ben bu yöntemi ongene kadar tüm çokgenlerde denedim ve hepsinde başarılı oldum. Dörtgen ve daha fazla köşeli çokgenlerin normal yönteminde çalıştığınız çokgenleri üçgenlere ayırarak yaparsınız bunu. Ben ise aynı şekilde bilinmeyen hariç tüm kenarları toplayıp 1 çıkartarak en büyük tam sayıyı bulabiliyorum.
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Sorry if this is the wrong place for this, but it's bugging me.
I watched a couple of layman's videos on YouTube and remain unconvinced as to why 'infinity' is not just as good of an answer as 'undefined'. Infinity is kind of undefined, or at least is as abstract as undefined, so why is it so important that it be undefined as opposed to zero or infinity? They took a long time to decide zero was a number, couldn't we decide one day that division by zero is infinity and not undefined?
Anyone have any reading or watching suggestions on this would be great and thank you.
Worshippers all over the world may be astonished and offended at the notion that we can seek the Divine Supreme Being Himself,
God, through the rich and textured field of Mathematics.
But bear with us, and if nothing more, learn of a branch of Mathematics, intertwined with the astonishing myths and legends of India.
Used an online scientific calculator and google calculator for this is it is what it is. Most of you know that the paper folded 103 times would be as long as the observable universe, well what about the other dimensions.
\2662.405555600257685 planck length (length) \3438.9405093169989414 planck length (width)
\216x6.25e+31 for the width and 279x6.25e+31 for the length
\divide both by 5.0706024e+30. You will equate the full answers above.
\Now for a size comparison the sun is 1,392,000,000 Meters in diameter. \Hydrogen's atomic nucleus is 1.75 Femtometers in width.
\1,750,000,000 meters would be the nucleus compared to the sun if blown up to the billion mark in comparison.
\So it is slightly bigger so how do we compare the paper at this point?
\The paper would be 0.0042598488889604123331 centimeters in length and 0.0055023041814907195507 centimeters in width to a comparative size.
I would like to investigate underlying patterns, through the mathematics framework, between different sized scales throughout the universe in an attempt to unify understandings under a new lens.
I was just playing around. You know, printing out the powers of two. The stuff everyone does. When suddenly I noticed an interesting phenomenon. Sideway "Parabolas" appeared. Formed by the colons separating each number (no whitespace). I used the following haskell code: [2 ^ x | x <- [0..]] which just prints powers of 2 till you terminate the programm. My lines where 211 characters long and the font was Monaco (i think). There were a lot of them. http://imgur.com/oY2uXqG Even though the the screenshot does not show the entire screen be assured that the "parabola" continues perfectly till the right edge of the screen. With the top and the bottom comma always lined up perfectly.
I realize that this is a very general question, but I looking on some good reading material on general cost function design.
I mainly work in the field of machine-learning and have been playing with yelp's MOE that implements bayesian optimization. I am looking into crafting beautiful cost functions for specific tasks (even outside my field) and thus my question!