The set disjointness problem is one of the most fundamental and well-studied problems in communication complexity. In this problem Alice and Bob hold sets $S, T \subseteq [n]$, respectively, and the goal is to decide if $S \cap T = \emptyset$. Reduct...
Erdős-Ko-Rado (EKR) type theorems yield upper bounds on the sizes of families of sets, subject to various intersection requirements on the sets in the family. Stability versions of such theorems assert that if the size of a family is close to the ma...
Seven vehicles were involved in a crash at the intersection of Battlefield Parkway (GA 2) and Dietz Road in Fort Oglethorpe on Wednesday 14th January. GSP investigators said the driver of a Ford Explo...
The direct measurements of cosmic rays (CRs), after correction for the propagation effects in the interstellar medium, indicate that their source spectra are likely to be significantly steeper than the canonical $E^{-2}$ spectrum predicted by the sta...
The asymptotic travelling wave solution of the KdV-Burgers equation driven by the long scale periodic driver is constructed. The solution represents a shock-train in which the quasi-periodic sequence of dispersive shocks or soliton chains is inters...
The far side of the Milky Way's disk is one of the most concealed parts of the known Universe due to extremely high interstellar extinction and point source density toward low Galactic latitudes. Large time-domain photometric surveys operating in the...
3D hand pose estimation from images has seen considerable interest from the literature, with new methods improving overall 3D accuracy. One current challenge is to address hand-to-hand interaction where self-occlusions and finger articulation pose a...
introduces a pioneering approach to the intersection of blockchain technology, AI, and privacy, culminating in the "AIZKML Department in a Box." This whitepaper explores the theoretical underpinnings, technical specifics, and practical applications of a system designed to automat…
Mar 11, 2024 · Christopher Nolan is a British-American filmmaker known for his complex storytelling in big-budget movies such as Inception (2010), Interstellar (2014) and Tenet …
We introduce the $\ell^1$-ideal intersection property for crossed product C*-algebras. It is implied by C*-simplicity as well as C*-uniqueness. We show that topological dynamical systems of arbitrary lattices in connected Lie groups, arbitrary linear...
We say that an inclusion of an algebra $A$ into a $C^*$-algebra $B$ has the ideal separation property if closed ideals in $B$ can be recovered by their intersection with $A$. Such inclusions have attractive properties from the point of view of harmon...
The interdisciplinary field of astrochemistry arose during the 1970s as observations in previously unexplored parts of the electromagnetic spectrum began to reveal the extent of a molecular component of interstellar matter with a surprisingly rich ch...
6 days ago · A fire in Thornton threw a thick plume of dark smoke over the north metro Denver area that closed Interstate 25 in both directions before it was contained Wednesday.
Suppose $A=k[X_1, X_2, \ldots, X_n]$ is a polynomial ring over a field $k$ and $I$ is an ideal in $A$. Then M. P. Murthy conjectured that $μ(I)=μ(I/I^2)$, where $μ$ denotes the minimal number of generators. Recently, Fasel \cite{F} settled this co...
Let $A$ denote an affine algebra over an algebraically closed field $k$, with $\dim A=d\geq 3$. In the light of availability of cancellation theorems for stably free modules $P$ with $rank(P)=d-1$ (corank one), we try to implement the methods of comp...
This is essentially an erratum, with some example to indicate inconsistencies. Suppose $A=k[X_1, X_2, \ldots, X_n]$ is a polynomial ring over a field $k$. The Complete Intersection conjecture states that, for any ideal $I$ in $A$, $μ(I)=μ(I/I^2)$,...
The core of an ideal is the intersection of all of its reductions. The core has geometric significance coming, for example, from its connection to adjoint and multiplier ideals. In general, though, the core is difficult to describe explicitly. In thi...
In this paper, we present a method to determine if a lift-and-project cut for a mixed-integer linear program is irregular, in which case the cut is not equivalent to any intersection cut from the bases of the linear relaxation. This is an important q...
HearTrans is a Capstone Project. The web app is to help transgender, intersex, and gender nonconforming individuals to find medical providers and locations. (⭐ 3)
Doggystyle is the debut studio album by American rapper Snoop Doggy Dogg. It was released on November 23, 1993, by Death Row and Interscope Records. The