Sanju Velani The Shrinking Target Problem for Matrix Transformations of Tori (NT 55:33 Alex Kontorovich Arithmetic Groups and Sphere Packings (NTWS 080) 51:56 Boris Adamczewski Furstenberg's conjecture, Mahler's method, and finite automata 53:12 János Pintz On the mean value of the remain...
In the ever-evolving fields of scientific research and industry, there is a consistent requirement for effective processing and management of imaging datasets. Addressing this need, Thermo Scientific software solutions are continually advancing, offering a diverse range of tools and capabilities designed ...
Homogeneous Mixtures - the (two or more) substances that form the mixture are evenly distributed throughout the mixture, e.g. vinegar is a homogeneous mixture of ethanoic acid and water. Heterogeneous Mixtures - the (two or more) substances that form the mixture are not evenly distributed ...
The analysis of cellular ultrastructure is paramount for gaining a comprehensive understanding of cell functionality. By examining the intricate details within a cell, researchers can uncover the mechanisms that drive various cellular processes and functions. ...
Alleviating the almost century old confusion, the correct laws of statistics and logic pinpoint the true oddity of quantum objects: duality. As it is shown in the first part of this short essay, duality plus conservation laws allow the violation of Bell’s inequalities for any spatio-temporal ...
We also of course have acting on by left multiplication; this is known as the spinor representation, but will not be utilized much in this post. (Giving the right action of makes it a copy of , and the spinor representation then also becomes the standard representation of on .) Given...
In this paper we revisit an open problem posed by Aldous on the max-entropy win-probability martingale: given two players of equal strength, such that the win-probability is a martingale diffusion, which of these processes has maximum entropy and hence gives the most excitement for the spectator...
Quantum reality has a reversible nature, so the entropy of the system is constant and therefore its description is an invariant. The space-time synchronization of events requires an intimate connection of space-time at the level of quantum reality, which is deduced from the theory of relativity ...
What I also did not realize before this meeting is the role that recent advances in pure mathematics – and specifically, the development of the “landscape function” that was a primary focus of this collaboration – played in accelerating this transition. This is not to say that this piece ...
for sufficiently large real part, where the Möbius function is equal to when is the product of distinct irreducibles, and otherwise, we conclude that the Möbius coefficients are just the complete homogeneous symmetric polynomials of the eigenvalues: One can then derive various algebraic relati...