Any collection of $n$ compact convex planar sets $K_1,\dots, K_n$ defines a vector of ${n\choose 2}$ mixed areas $V(K_i,K_j)$ for $1\leq i<j\leq n$. We show that for $n\geq 4$ these numbers satisfy certain Plücker-type inequalities. Moreover, we pro...
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Non-semantic context information is crucial for visual recognition, as the human visual perception system first uses global statistics to process scenes rapidly before identifying specific objects. However, while semantic information is increasingly...
The averaged null energy condition (ANEC) requires that the integral over a complete null geodesic of the stress-energy tensor projected onto the geodesic tangent vector is never negative. This condition is sufficient to prove many important theore...
We solve the Dirac equation approximately for the attractive scalar $S(r)$ and repulsive vector $V(r)$ Hulthén potentials including a Coulomb-like tensor potential with arbitrary spin-orbit coupling quantum number $κ.$ In the framework of the spi...
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Recently Koivusalo, Levesley, Ward and Zhang introduced the set of simultaneously $Φ$-badly approximable real vectors of $\mathbb{R}^m$ with respect to an approximation function $Φ$, and determined its Hausdorff dimension for the special class of p...
In this article, we prove a lower bound for the Hausdorff dimension of the set of exactly $ψ$-approximable vectors with values in a local field of positive characteristic. This is the analogue of the corresponding theorem of Bandi and de Saxc'e on r...
In mathematics, cyclical monotonicity is a generalization of the notion of monotonicity to the case of vector-valued function. Let ⟨ ⋅ , ⋅ ⟩ {\displaystyle
The Heavy Photon Search (HPS) is a new, dedicated experiment at Thomas Jefferson National Accelerator Facility (JLab) to search for a massive vector boson, the heavy photon (a.k.a. dark photon, \Aprimebold{}), in the mass range 20-500~MeV/c$^{2}$ and...
We consider the $\textit{Similarity Sketching}$ problem: Given a universe $[u] = \{0,\ldots, u-1\}$ we want a random function $S$ mapping subsets $A\subseteq [u]$ into vectors $S(A)$ of size $t$, such that the Jaccard similarity $J(A,B) = |A\cap B|/|...
We consider an epidemic model with direct transmission given by a system of nonlinear partial differential equations and study the existence of traveling wave solutions. When the basic reproductive number of the considered model is less than one, we...
We give examples of subcanonical subvarieties of codimension 3 in projective n-space which are not Pfaffian, i.e. defined by the ideal sheaf of submaximal Pfaffians of an alternating map of vector bundles. This gives a negative answer to a question...
This is a brief outline of the top-BESS model and its properties. The top-BESS model is the higgsless effective description of the strong electroweak symmetry breaking with a single new SU(2)_L+R triplet vector resonance. In contrast with the univers...
Sep 21, 2020 · from scipy import stats stats.norm.rvs(size=10) will give you a vector filled with 10 standard normal variates. note that multivariate means something specific in statistics, not just IID …
We present the first measurements at a hadron collider of differential cross sections for Z+jet+X production in delta phi(Z, jet), |delta y(Z, jet)| and |y_boost(Z, jet)|. Vector boson production in association with jets is an excellent probe of QC...