As mentioned in the previous post, Ben Green, Tamar Ziegler, and myself proved the following inverse theorem for the Gowers norms: Theorem 1 (Inverse theorem for Gowers norms) Let and be integers, and let . Suppose that is a function supported on such that Then there exists a filtered nil...
smaller than ; selection of this parameter can get a little tricky if one wants to evolve Ricci flow with surgery indefinitely, although for the purposes of the Poincaré conjecture the situation is simpler as there is a fixed upper bound on the time for which one needs to evolve the flow)...
awhere γ is the factor of periodical input cost uncertainty and dyis an increment to a Brownian motion. With both the cost to[translate] aبريكس (bryks)[translate] a都是你的错,不是你就不会发生这么多事情了!!! All is your mistake, was not you cannot have such many matter...
Brownian motion is the force behind the diffusion of fluids. The main factors affecting the process of facilitated diffusion are: Temperature-As the temperature increases, the movement of the molecules increases due to an increase in energy. ...
There’s a limit to what we can see. The “edge” of the visible universe is a “horizon”. There’s probably a lot more of the universe beyond that horizon, but it officially doesn’t matter. The “edge” at the limit of your vision is the horizon. Something moving away from yo...
and mistakes realized and corrected. This consensus is so strong, we simply take it for granted: a solution is correct or incorrect, a theorem is proved or not proved, and when a problem is solved, we simply move on to the next one. This is, sadly, not a state of affairs elsewhere....
This inequality gives a useful bound on how far a given graph is from being planar, and has a number of applications, for instance to sum-product estimates. Its proof is also an excellent example of the amplification trick in action; here the main source of amplification is the freedom to...
section. For instance, if a section is devoted to proving a key milestone in the paper, the milestone can be stated near the start of the section, next to a discussion as to why this milestone is important and perhaps a brief sketch as to how one is going to prove it in this ...
Here is my collection of experimental mathematical games, simulations, and other apps I have written (or supervised) over the years. — Algebra — Apreliminary demo of an algebra gamein Scratch (discussion here), solving a single (randomly selected) linear equation in one unknown using two oper...
It is really stupid. The man they are scared of seems like a bully who picks on weak kids one at a time and the teachers and lecturers in the department are cowering down on their own and not fighting him together and winning, in case one of them gets a punch in the nose. ...