49 NIKA SALIA_ EXTREMAL PROBLEMS IN PLANAR GRAPHS 1:22:04 A survey of Büthe's method for estimating prime counting functions 39:09 Examples of well-behaved Beurling number systems 1:16:36 MIKOLAJ FR_CZYK_ DENSITY CONJECTURE FOR HORIZONTAL FAMILIES OF LATTICES 1:04:27 Twisted moments of ...
Boris Adamczewski Furstenberg's conjecture, Mahler's method, and finite automata 53:12 János Pintz On the mean value of the remainder term of the prime number formula 48:20 Shabnam Akhtari Orders in Quartic Number Fields and Classical Diophantine Equati 58:41 Vitaly Bergelson A soft dynam...
Elementary curriculum is based on a variety of teaching methods. For example, many American schools display a spiral method in order to teach mathematics. With this approach a conceptual topic is introduced and then it is introduced a few additional times with increased difficulty. ...
Finally, in 2009, Dvir used route (a) and introduced the polynomial method (as discussed previously here) to completely settle the Kakeya conjecture in finite fields. Below the fold, I present a heuristic argument of Nets Katz and myself, which in principle would use route (b) to ...
What Is Pi? A Short History of This Incredible Number What Are Hexadecimal Numbers? What Is the Collatz Conjecture? Unsolved Mathematical Problems What Are Triangular Numbers?
Well, lots of problems, actually. (My favorite is theKakeya Conjecture.) But I’m talking about a culture problem, a communication problem: the gap between mathematics aswrittenand mathematics aspracticed. Mathematicalworkis full of loop-de-loops and dead ends. It’s multi-modal, multi-player...
As I argue ina new paper, mathematics is an essential component of nature that gives structure to the physical world. Honeybees and hexagons Bees in hives produce hexagonal honeycomb. Why? According to the “honeycomb conjecture” in mathematics, hexagons are the most efficient shap...
What is a conclusion drawn by inductive reasoning called? a) Counterexample b) Conjecture c) Conditional d) Contrapositive What is reasonableness in math? What does ^ mean in mathematics? What is a relation in the mathematical sense? Simplify the following logical expressions by using the axioms,...
aIn mathematics, a conjecture is an educated guess. Make a conjecture about the sum of two consecutive triangular numbers. 在数学,臆想是一个猜测。 做臆想关于二个连贯三角数字的总和。[translate] aSystem data tagging 系统数据标记[translate]
In this paper we put in print a folklore observation, namely that the inverse conjecture for the Gowers norm, together with the density increment argument, easily implies Szemerédi’s famous theorem on arithmetic progressions. This is unsurprising, given that Gowers’ proof of Szemerédi’s ...