# Btc.msmum cp1

An instrument sub- group is engaged in the development of instruments capable of gamma ray, energetic charged particle and neutron dosimetry including the ability to provide dosimetric information in real-time. A second sub- group is focused on computer modeling of space radiation fields in order to assess the performance of conceptual designs of detectors and dosimeters or the impact of radiation on cellular and sub-cellular biological targets and a third sub- group is engaged in the study of the biological effects of space radiation and the potential of biomarkers as a method of assessing radiation impact on humans.

Many working group members are active in more than one sub- group facilitating communication throughout the whole network. A summary progress-report will be given of the activities of the Discipline Working Group and the. The space shuttle payload planning working groups : Volume 9: Materials processing and space manufacturing.

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The findings and recommendations of the Materials Processing and Space Manufacturing group of the space shuttle payload planning activity are presented. The effects of weightlessness on the levitation processes, mixture stability, and control over heat and mass transport in fluids are considered for investigation.

The research and development projects include: 1 metallurgical processes, 2 electronic materials, 3 biological applications, and 4 nonmetallic materials and processes. Additional recommendations are provided concerning the allocation of payload space , acceptance of experiments for flight, flight qualification, and private use of the space shuttle. Trimesic acid dimethyl sulfoxide solvate: space group revision. Acta Cryst. B34, —], with data collected at room temperature, and refined in the space group P The crystal structure contains layers of trimesic acid molecules lying on mirror planes.

A mirror plane also passes through the S and O atoms of the solvent molecule. The molecules in each layer are interconnected through strong O—H O hydrogen bonds, forming a two-dimensional supramolecular network within each layer. The donor groups are the hydroxyls of the trimesic acid molecules, while the acceptors are the carbonyl or the sulfoxide O atoms. Ott, Melanie N. The Photonics Group at NASA Goddard Space Flight Center in the Electrical Engineering Division of the Advanced Engineering and Technologies Directorate has been involved in the design, development, characterization, qualification, manufacturing, integration and anomaly analysis of optical fiber subsystems for over a decade.

The group supports a variety of instrumentation across NASA and outside entities that build flight systems. A collection of the most pertinent information gathered during project support over the past year in regards to space flight performance of optical fiber components is presented here. The objective is to provide guidance for future space flight designs of instrumentation and communication systems.

Providing an introduction to current research topics in functional analysis and its applications to quantum physics, this book presents three lectures surveying recent progress and open problems. A special focus is given to the role of symmetry in non-commutative probability, in the theory of quantum groups , and in quantum physics. The first lecture presents the close connection between distributional symmetries and independence properties. The last lecture shows how functional analytic and geometric ideas can be used to detect and to quantify entanglement in high dimensions.

The book will allow graduate students and young researchers to gain a better understanding of free probability, the theory of compact quantum groups , and applications of the theory of Banach spaces to quantum information. The l A geometric renormalization group in discrete quantum space -time. We model quantum space -time on the Planck scale as dynamical networks of elementary relations or time dependent random graphs, the time dependence being an effect of the underlying dynamical network laws.

We formulate a kind of geometric renormalization group on these random networks leading to a hierarchy of increasingly coarse-grained networks of overlapping lumps.

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We provide arguments that this process may generate a fixed limit phase, representing our continuous space -time on a mesoscopic or macroscopic scale, provided that the underlying discrete geometry is critical in a specific sense geometric long range order. Our point of view is corroborated by a series of analytic and numerical results, which allow us to keep track of the geometric changes, taking place on the various scales of the resolution of space -time.

Of particular conceptual importance are the notions of dimension of such random systems on the various scales and the notion of geometric criticality. System theory on group manifolds and coset spaces. The purpose of this paper is to study questions regarding controllability, observability, and realization theory for a particular class of systems for which the state space is a differentiable manifold which is simultaneously a group or, more generally, a coset space. We show that it is possible to give rather explicit expressions for the reachable set and the set of indistinguishable states in the case of autonomous systems.

We also establish a type of state space isomorphism theorem. Our objective is to reduce all questions about the system to questions about Lie algebras generated from the coefficient matrices entering in the description of the system and in that way arrive at conditions which are easily visualized and tested. Real space renormalization group for spectra and density of states. We discuss the implementation of the Real Space Renormalization Group Decimation Technique for 1-d tight-binding models with long range interactions with or without disorder and for the 2-d regular square lattice.

## Lectures on Applied Mathematics

The procedure follows the ideas developed by Southern et al. Some new explicit formulae are included. The purpose of this study is to calculate spectra and densities of states following the procedure developed in our previous work. The dual algebra of the Poincare group on Fock space. The Lie algebra of operators commuting with the Poincare group on the Fock space appropriate for a massive spinless particle is constructed in terms of raising and lowering operators indexed by a Lorentz invariant function.

From the assumption that the phase operator is an element of this Lie algebra, it is shown that the scattering operator can be written as a unitary representation operator of the group associated with the Lie algebra. A simple choice of the phase operator shows that the Lorentz invariant function can be interpreted as a basic scattering amplitude, in the sense that all multiparticle scattering amplitudes can be written in terms of this basic scattering amplitude.

Group quantization on configuration space : Gauge symmetries and linear fields. A new, configuration- space picture of a formalism of group quantization, the GAQ formalism, is presented in the context of a previous algebraic generalization. This presentation serves to make a comprehensive discussion in which other extensions of the formalism, principally to incorporate gauge symmetries, are developed as well.

Both images are combined in order to analyze, in a systematic manner and with complete generality, the case of linear fields Abelian current groups. To illustrate these developments we particularize them for several fields and, in particular, we carry out the quantization of the Abelian Chern endash Simons models over an arbitrary closed surface in detail. It collects the various current threads in the literature on this topic with the aim of providing a self-contained, unified introduction while also advancing some new ideas.

Throughout the book, chapters end with a brief historical overview, citations of related results, and, where relevan Groups , matrices, and vector spaces a group theoretic approach to linear algebra. This unique text provides a geometric approach to group theory and linear algebra, bringing to light the interesting ways in which these subjects interact. Requiring few prerequisites beyond understanding the notion of a proof, the text aims to give students a strong foundation in both geometry and algebra. Starting with preliminaries relations, elementary combinatorics, and induction , the book then proceeds to the core topics: the elements of the theory of groups and fields Lagrange's Theorem, cosets, the complex numbers and the prime fields , matrix theory and matrix groups , determinants, vector spaces , linear mappings, eigentheory and diagonalization, Jordan decomposition and normal form, normal matrices, and quadratic forms.

The final two chapters consist of a more intensive look at group theory, emphasizing orbit stabilizer methods, and an introduction to linear algebraic groups , which enriches the notion of a matrix group. Applications involving symm etry groups , determinants, linear coding theory Working Group 2 summary: Space charge effects in bending systems.

At the start of the Workshop, the authors asked the Working Group 2 participants to concentrate on three basic goals: 1 survey the status of how comprehensively the physics concerning space -charge effects in bends is understood and how complete is the available ensemble of analytic and computational tools; 2 guided by data from experiments and operational experience, identify sources of, and cures for, beam degradation; and 3 review space -charge physics in rings and the limitations it introduces.

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As the Workshop unfolded, the third goal naturally folded into the other two goals, and these goals, they believe, were fulfilled in that the Working Group was able to compile an end product consisting of a set of recommendations for potentially fruitful future work. This summary constitutes an overview of the deliberations of the Working Group , and it is their hope that the summary clarifies the motivation for the recommended work listed at the end.

The summary is organized according to the two aforementioned goals, and the prime topics of discussion appear as subsections under these goals. Irreducible quantum group modules with finite dimensional weight spaces. Our approach follows the procedures used by S. Fernando and O. Mathieu to solve the corresponding problem for semisimple complex Lie algebra modules.

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To achieve this we have to overcome a number of obstacles In the process we also construct twisting functors rigerously for quantum group modules, study twisted Verma modules and show that these admit a Jantzen filtration with corresponding Jantzen sum formula A relatively small group , they developed the initial mission concept plans and procedures for the U. Then they boldly built hardware and facilities to accomplish those missions. The group existed only three years before they were transferred to the Manned Spacecraft Center in Houston, Texas, in , but their organization left a large mark on what would follow.

Von Ehrenfried's personal experience with the STG at Langley uniquely positions him to describe the way the group was structured and how it reacted to the new demands of a post-Sputnik era. He artfully analyzes how the growing space program was managed and what techniques enabled it to develop so quickly from an operations perspective. The result is a fascinating window into history, amply backed up by first person documentation Generalized 2-vector spaces and general linear 2- groups. Various kinds of generalized 2-vector spaces are considered and examples are given.

The existence of non free generalized 2-vector spaces and of generalized 2-vector spaces which are non Karoubian hence, non abelian categories is discussed, and it is shown how any generalized 2-vector space can be identified with a full subcategory of an abelian functor category Changes in reactivity between data points are obtained algebraically from the kinetics equations, neutron density derivatives, and the algebraic representation of neutron density.

First and second time derivatives of the reactivity are obtained by use of any of the formulae applicable to the neutron density.

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They cannot be rotated or translated. Each geometrical region must be described as completely enclosing all regions interior to it. For systems not describable using this special geometry package, the program can use the generalized geometry package GEOM developed for the O5R Monte Carlo code. The entire problem can be mocked up in generalized geometry, or one generalized geometry unit or box type can be used alone or in combination with standard KENO units or box types.

Rectangular arrays of fissile units are allowed with or without external reflector regions.

Output from KENO consists of k eff for the system plus an estimate of its standard deviation and the leakage, absorption, and fissions for each energy group plus the totals for all groups. Flux as a function of energy group and region and fission densities as a function of region are optional output. Absorption of neutrons in KENO is not allowed.

Instead, at each collision point of a neutron tracking history the weight of the neutron is reduced by the absorption probability. When the neutron weight has been reduced below a specified point for the region in which the collision occurs, Russian roulette is played to determine if the. Space Weather SW is the concept of changing environmental conditions in outer space and affect Earth and its technological systems.

SW is a consequence of the solar activities and the coupling of solar energy on Earth's atmosphere due to the Earth's magnetic field. Ionosphere is the plasma layer of the atmosphere that is ionized by solar radiation and it is a key player of SW. Ionosphere is a temporally and spatially varying, dispersive, anisotropic and inhomogeneous medium that is characterized primarily by its electron density distribution. TEC corresponds to the line integral of electron density distribution on a given path.

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TEC can also be expressed as the amount of free electrons within 1 m2 cross-sectional area of the cylinder on the ray path. Co-Higgs bundles are Higgs bundles in the sense of Simpson, but with Higgs fields that take values in the tangent bundle instead of the cotangent bundle. We characterize the rank-2, odd-degree moduli space as a universal elliptic curve with a globally-defined equation. Space , time and group identity in Jubilees This paper investigates this change in communication strategy and In the case of Numbers Israel Classifying spaces with virtually cyclic stabilizers for linear groups.

We study the space of maps from the classifying space of a finite p- group to theBorel construction of a finite group of Lie type G in characteristic p acting on itsbuilding. The first main result is a description of the homology with Fp-coefficients,showing that the mapping space , up to p We complement this description bydetermining the actual homotopy groups of the mapping space. These resultstranslate to descriptions of the space of maps The group approach to AdS space propagators.

We show that AdS two-point functions can be obtained by connecting two points in the interior of AdS space with one point on its boundary by a dual pair of Dobrev's boundary-to-bulk intertwiners and integrating over the boundary point. The paper examines educational potentials of "Facebook" groups that are created and managed by students without any involvement from teachers.

The objective is to study student-managed "Facebook" groups as a "third space " between the institutional space of teacher-managed "Facebook" groups and the…. On determining the isometry group of a Riemannian space. An extension of the recently discussed algorithm for deciding the equivalence problem for Riemannian metrics is presented.