Prove that the manifold $SO (n)$ is connected
The question really is that simple: Prove that the manifold $SO (n) \subset GL (n, \mathbb {R})$ is connected. it is very easy to see that the elements of $SO (n ...
The question really is that simple: Prove that the manifold $SO (n) \subset GL (n, \mathbb {R})$ is connected. it is very easy to see that the elements of $SO (n ...
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We investigate finite right-distributive binary algebraic structures called shelves. We first use symbolic computations with Python to classify (up to isomorphism) all connected shelves with order less than six. We explore the group structure generat...
This study evaluates how off-the-shelf commercial ICTs can contribute to creating a feeling of Presence, Connectedness, and Awareness between parents and their hospitalized child. Thematic analysis and descriptive statistics are used to analyse quali...
A graph $G$ is said to be equitably $c$-colorable if its vertices can be partitioned into $c$ independent sets that pairwise differ in size by at most one. Chen, Lih, and Wu conjectured that every connected graph $G$ with maximum degree $Δ(G)\geq 2$...
A simple graph $G$ with edge-connectivity $λ(G)$ and minimum degree $δ(G)$ is maximally edge connected if $λ(G)=δ(G)$. In 1964, given a non-increasing degree sequence $π=(d_{1},\ldots,d_{n})$, Jack Edmonds showed that there is a realization $G$...
Jul 7, 2013 · Both computers are not connected to a domain network. Both computers say they are connected to a home group. Both computers cannot see anything in Homegroup. Both computers …
Platooning and coordination are two implementation strategies that are frequently proposed for traffic control of connected and autonomous vehicles (CAVs) at signal-free intersections instead of using conventional traffic signals. However, few studie...
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The status of a vertex $v$ in a connected graph is the sum of the distances from $v$ to all other vertices. The status sequence of a connected graph is the list of the statuses of all the vertices of the graph. In this paper we investigate the status...
In this paper, we introduce the concept of curling subsequence of simple, finite and connected graphs. A curling subsequence is a maximal subsequence $C$ of the degree sequence of a simple connected graph $G$ for which the curling number $cn(G)$ corr...
A new algorithm to obtain the chromatic number of a finite, connected graph is proposed in this paper. The algorithm is based on contraction of non adjacent vertices....
We refine the bit complexity analysis of an algorithm for the computation of at least one point per connected component of a smooth real algebraic set, yielding exponential speedup (with respect to the number of variables) compared to prior works. Th...
We discuss the possible candidates for conformally invariant random non-self-crossing curves which begin and end on the boundary of a multiply connected planar domain, and which satisfy a Markovian-type property. We consider both, the case when the...
Aug 6, 2019 · A convolutional neural network (CNN) that does not have fully connected layers is called a fully convolutional network (FCN). See this answer for more info. An example of an FCN is the u-net, …
LeadingReach is a HIPAA-secure, web-based platform that combines the largest connected provider community in healthcare with clinical workflow management tools, secure team-based chat, and …
We consider the open problem: Does every square-integrable function f on a compact, connected Lie group G have an almost everywhere convergent Fourier series? We prove a general theorem from which it follows that if the integral modulus of continuity...
One manifestation of quantum chaos is a random-matrix-like fine-grained energy spectrum. Prior to the inverse level spacing time, random matrix theory predicts a `ramp' of increasing variance in the connected part of the spectral form factor. However...
Two email accounts are connected to my photos. How do I disconnect one email without losing pics? I need to 'disconnect' one of my Gmail addresses with my Google photos, making sure not to lose any …