How to find collaboration partner?
I believe that I have a new way of approaching the problem of showing $R(5,5)=43$. I'm looking to collaborate with someone who is an expert in integer programming / graph theory / computing in graph...
View ArticleAn explicit formula to derive the subset of infinitely many "Collatz numbers"
I have a possible interesting question about the Collatz Conjecture, that I think it is "answerable".Let me state my question as follows.We are only interested in odd natural numbers under the Collatz...
View Article"Advice to young mathematicians"
I have been suggested to read the Advice to a Young Mathematician section of the Princeton Companion to Mathematics, the short paper Ten Lessons I wish I had been Taught by Gian-Carlo Rota, and the...
View ArticleWhy were evil numbers named "evil"?
According to the entry in Sloane's On-Line Encyclopedia of Integer Sequences, the sequence A001969:Evil numbers: nonnegative integers with an even number of 1's in their binary expansion.And deeper...
View ArticleDo chaotic systems exist that cannot be predicted even at the limit of...
I have a layman person's understanding of the theory of chaos, that seems to indicate that using finite-precision initial conditions and finite computing resources, chaotic systems cannot be predicted...
View ArticleAn explicit formula to derive the subset of infinitely many odd “Collatz...
I have a possible interesting question about the Collatz Conjecture, that I think it is "answerable".Let me state my question as follows.We are only interested in odd natural numbers under the Collatz...
View Article6 team round robin play over 8 nights, 3 games played consecutively per...
What is a possible schedule for a 6-team round-robin tournament played over 8 days with 3 games per day, totaling 24 total games, ensuring each team plays the last game on an equal number of days?The...
View ArticleDo "truly" infinite proofs exist?
An assumption underlying this earlier question was the existence (and greater expressive strength) of infinite proofs in logics like $\mathcal{L}_{\omega_{1}^{CK}, \omega}$ (based on, for example, the...
View ArticleComputational Complexity of Non-Convex Separable Programming vs....
As a network engineer working on optimization problems, I've observed that the literature suggests convex separable programming problems are not significantly more difficult to solve than linear...
View ArticleComputational complexity of non-convex separable programming versus...
As a network engineer working on optimization problems, I've observed that the literature suggests convex separable programming problems are not significantly more difficult to solve than linear...
View ArticleLearning path of Algebraic Geometry and differential geometry for students in...
I am a student in the direction of numerical PDE, in the past few years, algebraic geometry and differential geometry and conformal geometry has been used in structured grid generation, see papers like...
View ArticleWhat is gained by studying Killing vector fields?
In physics (namely, when studying general relativity), Killing fields are a central object of study, at least as important as Jacobi fields. However, in most introductory texts of Riemannian geometry...
View ArticleAn explicit closed-form formula to derive the subset of infinitely many odd...
Remark : The current votes are $+15/-15$ .I have a possible interesting question about the Collatz Conjecture, that I think it is "answerable".Let me state my question as follows.We are only interested...
View ArticleSimplest proof of Taylor's theorem
I have for some time been trawling through the Internet looking for an aesthetic proof of Taylor's theorem.By which I mean this: there are plenty of proofs that introduce some arbitrary construct: no...
View ArticleCan you point cases when classic math research was found wrong? [closed]
Can you point cases when "classic" math research was found wrong?How were the "crackpots" reporting errors of classics treated? (The answer on this question is to provide examples.)
View ArticleSecond course in Galois theory
I am looking for some resources that would allow for a comprehensive self-study of Galois theory beyond the classical field theory approach that culminates in the Galois criterion. Having moderate...
View ArticleMathematical Logic: Good New/Classic Reference
The question of similar type have been posted earlier (see this). However, my only concern here is:Are there new books on same subject, which are readable for young scholar (just completed 12)?Book...
View ArticleClik here to view.
Tips on how to find $K_{3,3}$ or $K_{5}$ minors
I am looking for general advice on how to find graph minors (for example $K_{3,3}$ or $K_{5}$) efficiently. I often struggle applying the Kuratowski-Wagner theorem for non-planarity, but want to...
View ArticleTheorems useful in science but impossible to prove in constructive math?
Are there any mathematical theorems that play an important role in some area of scientific research, but which are not known to be provable using purely constructive methods? Or if there was a period...
View ArticleWhen did people start writing $kk$ as $k^2$?
When I read old texts, I often see them write out multiplication explicitly instead of using the square symbol. For example, in Riemann's paper "Über die Anzahl der Primzahlen unter einergegebenen...
View Article