Rate 51:23 Modular forms and their role in counting combinatorial and topological objects 58:25 The Geometric Structure of Possible Singularities for the Navier-Stokes and Eule 48:05 Wasserstein gradient flows for machine learning 1:02:17 Knot Floer homology of satellite knots 49:59 A survey on...
The mathematical secrets of Pascal’s triangle - Wajdi Mohamed Ratemi 04:50 The math behind Michael Jordan’s legendary hang time - Andy Peterson and Zack Pa 03:46 The murder of ancient Alexandria's greatest scholar - Soraya Field Fiorio 05:05 The mysterious origins of life on Earth ...
This problem can be regarded as an approximation of the motion of a hypersurface by its mean curvature with a driving force. In this paper we derive a rate of convergence of an order $ \varepsilon^2 $ for the motion of a smooth and compact hypersurface by its mean curvature with a ...
projector. An interesting feature of this method is that it does not require centralized edge detectors. Instead, edge detection is realized in a distributed manner by fusing the beliefs of a robot with its neighbors. However, since the robots cannot self-localize themselves relative to the desire...
In addition, the firm must disclose the percentage of securities they rate that receive each rating. The firm must also disclose the percentage of companies within each rating group that were investment banking clients at any time within the previous 12 months. This helps indicate any internal bia...
In this article, the error term of the mean value theorem for binary Egyptian fractions is studied. An error term of prime number theorem type is obtained unconditionally. Under Riemann hypothesis, a power saving can be obtained. The mean value in short interval is also considered. Keywords: ...
The results of the two experiments indicate that English participants read at a similar rate but with much greater individual differences than the Italian participants. In a 3rd experiment, we extended these results to a vocal reaction time (vRT) task, examining the effect of word frequency. An...
When worms are exposed to pathogens, theskn-1gene is expressed via the activation of the PMK-1 pathway27. To determine whether the resistance of worms to pathogenic bacteria is enhanced,C. eleganswild type (N2) and theskn-1mutant were exposed toS. typhimurium, and the survival rate was mea...
passing said mixture into a reaction zone, providing a specific mass flow rate greater than about 60 pounds per hour per square inch in said reaction zone, introducing heat in said reaction zone to increase the mean temperature of said mixture to a temperature sufficient to provide at least a...
1. Then we assume that the expression of V is autonomous, thus X satisfies a time-homogeneous Markov chain defined on Z∗. Assume that the mRNA synthesis rate at X (t) = n − 1, namely the transition rate from X = n − 1 to X = n, is fn ≥ 0. Assume that with n ...