Forward physics at the ATLAS experiment

This contribution describes forward physics measurements possible to make with current ATLAS forward detectors including the upgrade project AFP. The aim of AFP is to tag very forward going protons at high luminosities

Chains, Antichains, and Complements in Infinite Partition Lattices

We consider the partition lattice $\Pi_\kappa$ on any set of transfinite cardinality $\kappa$ and properties of $\Pi_\kappa$ whose analogues do not hold for finite cardinalities. Assuming the Axiom of Choice we prove: (I) the cardinality of any maximal well-ordered chain is always exactly $\kappa$; (II) there are maximal chains in $\Pi_\kappa$ of cardinality $> \kappa$; (III) if, for every cardinal $\lambda < \kappa$, we have $2^{\lambda} < 2^\kappa$, there exists a maximal chain of cardinality $< 2^{\kappa}$ (but $\ge \kappa$) in $\Pi_{2^\kappa}$; (IV) every non-trivial maximal antichain in $\Pi_\kappa$ has cardinality between $\kappa$ and $2^{\kappa}$, and these bounds are realized. Moreover we can construct maximal antichains of cardinality $\max(\kappa, 2^{\lambda})$ for any $\lambda \le \kappa$; (V) all cardinals of the form $\kappa^\lambda$ with $0 \le \lambda \le \kappa$ occur as the number of complements to some partition $\mathcal{P} \in \Pi_\kappa$, and only these cardinalities appear. Moreover, we give a direct formula for the number of complements to a given partition; (VI) Under the Generalized Continuum Hypothesis, the cardinalities of maximal chains, maximal antichains, and numbers of complements are fully determined, and we provide a complete characterization.Comment: 24 pages, 2 figures. Submitted to Algebra Universalis on 27/11/201

EXPERIMENTAL METHODS APPLIED IN THE DEVELOPMENT OF HUMAN SKELETAL IMPLANTS IN CZECH REPUBLIC

INTRODUCTION: The contribution deals with application of the experimental methods and progressive technologies applied for the development of skeletal implants in Laboratory of Biomechanics of Man at the Czech Technical University in Prague. The final product created in the laboratory can be 3D model made by the Fused Deposition Modeling (FDM) technology from ABS plastic material together with analysis by means of the finite element method (FEM). There is the experimental equipment necessary for the mechanical testing of materials and components of implants. Laboratory has the straight connection to the Czech producers of implants so the research results are applied in industry

Molecular Techniques Complement Culture-Based Assessment of Bacteria Composition in Mixed Biofilms of Urinary Tract Catheter-Related Samples

Urinary or ureteral catheter insertion remains one of the most common urological procedures, yet is considered a predisposing factor for urinary tract infection. Diverse bacterial consortia adhere to foreign body surfaces and create various difficult to treat biofilm structures. We analyzed 347 urinary catheter- and stent-related samples, treated with sonication, using both routine culture and broad-range 16S rDNA PCR followed by Denaturing Gradient Gel Electrophoresis and Sanger sequencing (PCR-DGGE-S). In 29 selected samples, 16S rRNA amplicon Illumina sequencing was performed. The results of all methods were compared. In 338 positive samples, from which 86.1% were polybacterial, 1,295 representatives of 153 unique OTUs were detected. Gram-positive microbes were found in 46.5 and 59.1% of catheter- and stent-related samples, respectively. PCR-DGGE-S was shown as a feasible method with higher overall specificity (95 vs. 85%, p &lt; 0.01) though lower sensitivity (50 vs. 69%, p &lt; 0.01) in comparison to standard culture. Molecular methods considerably widened a spectrum of microbes detected in biofilms, including the very prevalent emerging opportunistic pathogen Actinotignum schaalii. Using massive parallel sequencing as a reference method in selected specimens, culture combined with PCR-DGGE was shown to be an efficient and reliable tool for determining the composition of urinary catheter-related biofilms. This might be applicable particularly to immunocompromised patients, in whom catheter-colonizing bacteria may lead to severe infectious complications. For the first time, broad-range molecular detection sensitivity and specificity were evaluated in this setting. This study extends the knowledge of biofilm consortia composition by analyzing large urinary catheter and stent sample sets using both molecular and culture techniques, including the widest dataset of catheter-related samples characterized by 16S rRNA amplicon Illumina sequencing

Research and Design of a Routing Protocol in Large-Scale Wireless Sensor Networks

无线传感器网络，作为全球未来十大技术之一，集成了传感器技术、嵌入式计算技术、分布式信息处理和自组织网技术，可实时感知、采集、处理、传输网络分布区域内的各种信息数据，在军事国防、生物医疗、环境监测、抢险救灾、防恐反恐、危险区域远程控制等领域具有十分广阔的应用前景。 本文研究分析了无线传感器网络的已有路由协议，并针对大规模的无线传感器网络设计了一种树状路由协议，它根据节点地址信息来形成路由，从而简化了复杂繁冗的路由表查找和维护，节省了不必要的开销，提高了路由效率，实现了快速有效的数据传输。 为支持此路由协议本文提出了一种自适应动态地址分配算——ADAR（AdaptiveDynamicAddre...As one of the ten high technologies in the future, wireless sensor network, which is the integration of micro-sensors, embedded computing, modern network and Ad Hoc technologies, can apperceive, collect, process and transmit various information data within the region. It can be used in military defense, biomedical, environmental monitoring, disaster relief, counter-terrorism, remote control of haz...学位：工学硕士院系专业：信息科学与技术学院通信工程系_通信与信息系统学号：2332007115216

Kofinalni retezce v teorii modulu a reprezentace distributivnich svazu.

Available from STL, Prague, CZ / NTK - National Technical LibrarySIGLECZCzech Republi

Abelian groups with a minimal generating set

We study the existence of minimal generating sets in Abelian groups. We prove that Abelian groups with minimal generating sets are not closed under quotients, nor under subgroups, nor under infinite products. We give necessary and sufficient conditions for existence of a minimal generating set providing that the Abelian group is uncountable, torsion, or torsion-free completely decomposable.Quaestiones Mathematicae 33(2010), 147–15

PACIFIC JOURNAL OF MATHEMATICS Vol. 212, No. 2, 2003 COTILTING VERSUS PURE-INJECTIVE MODULES

Let R and S be arbitrary associative rings.A left R-module RW is said to be cotilting if the class of modules cogenerated by RW coincides with the class of modules for which the functor Ext 1 R (−,W) vanishes.In this paper we characterize the cotilting modules which are pure-injective.The two notions seem to be strictly connected: Indeed all the examples of cotilting modules known in the literature are pure-injective. We observe that if RWS is a pure-injective cotilting bimodule, both R and S are semiregular rings and we give a characterization of the reflexive modules in terms of a suitable “linear compactness ” notion. Introduction. Cotilting modules first appeared as vector space duals of tilting module

Distributive congruence lattices of congruence-permutable algebras

We prove that every distributive algebraic lattice with at most $\aleph_1$ compact elements is isomorphic to the normal subgroup lattice of some group and to the submodule lattice of some right module. The $\aleph_1$ bound is optimal, as we find a distributive algebraic lattice $D$ with $\aleph_2$ compact elements that is not isomorphic to the congruence lattice of any algebra with almost permutable congruences (hence neither of any group nor of any module), thus solving negatively a problem of E. T. Schmidt from 1969. Furthermore, $D$ may be taken as the congruence lattice of the free bounded lattice on $\aleph_2$ generators in any non-distributive lattice variety. Some of our results are obtained via a functorial approach of the semilattice-valued "distances" used by B. Jonsson in his proof of Whitman's embedding Theorem. In particular, the semilattice of compact elements of $D$ is not the range of any distance satisfying the V-condition of type $3/2$. On the other hand, every distributive join-semilattice with zero is the range of a distance satisfying the V-condition of type 2. This can be done via a functorial construction