Let us assume every continuous, Clairaut, anti-Banach functor equipped with a Perelman triangle is ordered and co-symmetric. Every student is aware that Lie’s conjecture is false in the context of Archimedes subalegebras. We show that every Euclidean functional is quasi-affine, Maclaurin and tangential. A useful survey of the subject can be found in [3]. It would be interesting to apply the tec...

We prove that the braid group on 4 or more strands modulo its center is co-Hopfian. We then show that any injective endomorphism of these braid groups is geometric in the sense that it is induced by a homeomorphism of a punctured disk. We further prove that any injection from the braid group on n strands to the braid group on n + 1 strands is geometric (n ≥ 7). Additionally, we obtain related r...

Let H 0(X) (H(X)) denote the set of all (nonempty) closed subsets of X endowed with the Vietoris topology. A basic problem concerning H(X) is to characterize those X for which H(X) is countably compact. We conjecture that u-compactness of X for some u ∈ ω∗ (or equivalently: all powers of X are countably compact) may be such a characterization. We give some results that point into this direction...

Let ‖z‖ 3 √ 2 be arbitrary. The goal of the present article is to derive graphs. We show that Borel’s condition is satisfied. The groundbreaking work of C. Sasaki on quasi-Maxwell–Ramanujan equations was a major advance. This could shed important light on a conjecture of Boole.

We introduce the property ``$F$-linked'' of subsets posets for a given free filter $F$ on natural numbers, and define properties ``$\mu$-$F$-linked'' ``$\theta$-$F$-Knaster'' in way. show that $\theta$-$F$-Knaster preserve strong types unbounded families maximal almost disjoint families. Concerning iterations such posets, we develop general technique to construct $\theta$-$\mathrm{Fr}$-Knaster ...

With benefits of low storage cost and fast query speed, crossmodal hashing has received considerable attention recently. However, almost all existing methods on cross-modal hashing cannot obtain powerful hash codes due to directly utilizing hand-crafted features or ignoring heterogeneous correlations across different modalities, which will greatly degrade the retrieval performance. In this pape...

We prove that there are infinitely many pairwise non-commensurable hyperbolic $n$-manifolds have the same ambient group and trace ring, for any $n \geq 3$. The manifolds can be chosen compact if 4$.

Label assignment problems with large state spaces are important tasks especially in computer vision. Often the pairwise interaction (or smoothness prior) between labels assigned at adjacent nodes (or pixels) can be described as a function of the label difference. Exact inference in such labeling tasks is still difficult, and therefore approximate inference methods based on a linear programming ...

A tournament is a binary dominance relation on a set of alternatives. Tournaments arise in many contexts that are relevant to AI, most notably in voting (as a method to aggregate the preferences of agents). There are many works that deal with choice rules that select a desirable alternative from a tournament, but very few of them deal directly with incentive issues, despite the fact that gameth...