We end this paper with a list of examples and non-examples of lattices in Banach spaces.

In this paper, we extend the theory of simultaneous Diophantine approximation to infinite dimensions. Moreover, we discuss Dirichlet-type theorems in…

With sound unification, Definite Clause Grammars and compact expression of combinatorial generation algorithms, logic programming is shown to conveni…

The group $\mathop{\rm PL}_+(I)$ of increasing piecewise linear self-homeomorphisms of the interval $I=[0,1]$ may not be assigned a topology in such …

We present a straightforward, noniterative projection scheme that can represent the electronic ground state of a periodic system on a finite atomic-o…

Sentiment classification is widely used for product reviews and in online social media such as forums, Twitter, and blogs. However, the problem of cl…

Zwegers suggested holomorphic projection of scalar-valued functions as a tool to investigate mock modular forms, and he applied this idea in his recent joint work [ARZ13]. In this Section, we extend Zwegers’s suggestion to vector-valued forms. More …

We employ spectral methods of automorphic forms to establish a holomorphic projection operator for tensor products of vector-valued harmonic weak Maa…

We studied the space of adversarial examples in malware classification by evaluating twelve attacks and four defenses on different datasets. Our experiments show that attacks work reliably and it is relatively easy and straightforward to create adve…

Artificial neural networks have been successfully used for many different classification tasks including malware detection and distinguishing between…

Despite the advancements in search engine features, ranking methods, technologies, and the availability of programmable APIs, current-day open-access…

A natural approach to software quality assurance consists in writing unit tests securing programmer-declared code invariants. Throughout the literatu…

This paper presents a two-phase cooperative communication strategy and an optimal power allocation strategy to transmit sensor observations to a fusi…

Many real world systems or web services can be represented as a network such as social networks and transportation networks. In the past decade, many…

We extend the parametric geometry of numbers (initiated by Schmidt and Summerer, and deepened by Roy) to Diophantine approximation for systems of $m$ linear forms in $n$ variables, and establish a new connection to the metric theory via a variationa…

We extend the parametric geometry of numbers (initiated by Schmidt and Summerer, and deepened by Roy) to Diophantine approximation for systems of $m$…

We prove inequalities relating the absolute value of the determinant of n+1 linearly independent unit vectors in an n+1 dimensional complex vector space and the projective distances from the vertices to the hyperplanes containing the opposite faces …

We prove inequalities relating the absolute value of the determinant of n+1 linearly independent unit vectors in an n+1 dimensional complex vector sp…

We consider the dynamics of rational semigroups (semigroups of rational maps) on the Riemann sphere. We estimate the Bowen parameters (zeros of the p…

This section is devoted to showing that Rn⋊G(n) is an algebraically determined Polish group, thereby proving Theorem 1. This is done by verifyng the hypotheses of Theorem 2.

Let $G$ be a Polish (i.e., complete separable metric topological) group. Define $G$ to be an algebraically determined Polish group if for any Polish …

We present XMM-Newton imaging spectroscopy of ten weak emission-line quasars (WLQs) at $0.928\leq z \leq 3.767$, six of which are radio quiet and fou…

The calculations of electronic transport coefficients and optical properties require a very dense interpolation of the electronic band structure in r…

In this paper we define distance expanding random dynamical systems. We develop the appropriate thermodynamic formalism of such systems. We obtain in…

Large graphs are difficult to represent, visualize, and understand. In this paper, we introduce "gate graph" - a new approach to perform graph simpli…

Atmospheric modelling has recently experienced a surge with the advent of deep learning. Most of these models, however, predict concentrations of pol…

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