Given an action of a group $G$ by automorphisms on an infinite relational structure $\mathcal{M}$, we say that the action is structurally sharply $k$-transitive if, for any two $k$-tuples $\bar{a}, \bar{b} \in M^k$ of distinct elements such that $\ba...
The paper is devoted to generalizations of actions of topological groups on manifolds. Instead of a topological group, we consider a local topological group generalizing the notion of a~germ or a~neighborhood in a topological group. The notion of an...
Dec 31, 2020 · It is well known that mobius transformations act sharply 3 -transitively on the Riemann sphere (that is, any three points can be mapped to any other three points in a unique way). In this …
Oct 12, 2020 · A nice fact from complex analysis is that the mobius group acts sharply 3-transitively on the Riemann sphere. I am wondering if other sharply k-transitive (continuous ...
Profane is a player-driven Sandbox MMORPG that takes place in a sword & sorcery setting. Explore a dynamic open-world that reacts to your actions, turning every adventure into a brand new experience.
Hey everyone, The co-top moderator and my girlfriend, u/CourseMediocre7998, has suddenly been offline for over 48 hours with absolutely no activity. No posts, comments, mod actions, or messages. That...
Caused by or arising from mental derangement; marked by or manifesting insanity: as, a crazy speech; crazy actions. from the GNU version of the Collaborative International Dictionary of English.
In a space-time $M$ with a Killing vector field $ξ^a$ which is either everywhere timelike or everywhere spacelike, the collection of all trajectories of $ξ^a$ gives a 3-dimension space $S$. Besides the symmetry-reduced action from that of Einstei...
We consider a minimal equicontinuous action of a finitely generated group $G$ on a Cantor set $X$ with invariant probability measure $μ$, and stabilizers of points for such an action. We give sufficient conditions under which there exists a subgroup...
A unified video and action model holds significant promise for robotics, where videos provide rich scene information for action prediction, and actions provide dynamics information for video prediction. However, effectively combining video generation...
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Apr 28, 2017 · Several actions related to the data lifecycle, such as data discovery, do require an understanding of the data, technology, and information infrastructures that may result from …
This paper studies groups of maximal size acting harmonically on a finite graph. Our main result states that these maximal graph groups are exactly the finite quotients of the modular group $Γ=\left<x,y \ | \ x^2=y^3=1\right>$ of size at least 6. Th...
This paper develops graph analogues of the genus bounds for the maximal size of an automorphism group of a compact Riemann surface of genus $g\ge 2$. Inspired by the work of M. Baker and S. Norine on harmonic morphisms between finite graphs, we motiv...
Two recent electrical incidents demonstrate how the design of equipment encouraged electrical workers to take actions that violated NFPA 70E principles. The features that encouraged non-compliant work execution will be described, as well as how the e...
Cloud computing offers users scalable platforms and low resource cost. At the same time, the off-site location of the resources of this service model makes it more vulnerable to certain types of adversarial actions. Cloud computing has not only gaine...
Operating refers to the actions or processes involved in managing, controlling, or putting into use and action a particular system, machinery, business or organization.
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Using the action describing N coincident gravitational waves in M-theory we construct a pp-wave Matrix model cointaning a fuzzy 5-sphere giant graviton solution. This fuzzy 5-sphere is constructed as a U(1) fibration over a fuzzy $CP^2$, and has th...