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Search Results: 1 - 10 of 2592 matches for " Rudolf Schmid "
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Infinite-Dimensional Lie Groups and Algebras in Mathematical Physics
Rudolf Schmid
Advances in Mathematical Physics , 2010, DOI: 10.1155/2010/280362
Abstract: We give a review of infinite-dimensional Lie groups and algebras and show some applications and examples in mathematical physics. This includes diffeomorphism groups and their natural subgroups like volume-preserving and symplectic transformations, as well as gauge groups and loop groups. Applications include fluid dynamics, Maxwell's equations, and plasma physics. We discuss applications in quantum field theory and relativity (gravity) including BRST and supersymmetries. 1. Introduction Lie groups play an important role in physical systems both as phase spaces and as symmetry groups. Infinite-dimensional Lie groups occur in the study of dynamical systems with an infinite number of degrees of freedom such as PDEs and in field theories. For such infinite-dimensional dynamical systems, diffeomorphism groups and various extensions and variations thereof, such as gauge groups, loop groups, and groups of Fourier integral operators, occur as symmetry groups and phase spaces. Symmetries are fundamental for Hamiltonian systems. They provide conservation laws (Noether currents) and reduce the number of degrees of freedom, that is, the dimension of the phase space. The topics selected for review aim to illustrate some of the ways infinite-dimensional geometry and global analysis can be used in mathematical problems of physical interest. The topics selected are the following.(1)Infinite-Dimensional Lie Groups.(2)Lie Groups as Symmetry Groups of Hamiltonian Systems.(3)Applications.(4)Gauge Theories, the Standard Model, and Gravity.(5)SUSY (supersymmetry). 2. Infinite-Dimensional Lie Groups 2.1. Basic Definitions A general theory of infinite-dimensional Lie groups is hardly developed. Even Bourbaki [1] only develops a theory of infinite-dimensional manifolds, but all of the important theorems about Lie groups are stated for finite-dimensional ones. An infinite-dimensional Lie group is a group and an infinite-dimensional manifold with smooth group operations Such a Lie group is locally diffeomorphic to an infinite-dimensional vector space. This can be a Banach space whose topology is given by a norm , a Hilbert space whose topology is given by an inner product , or a Frechet space whose topology is given by a metric but not by a norm. Depending on the choice of the topology on , we talk about Banach, Hilbert, or Frechet Lie groups, respectively. The Lie algebra?? of a Lie group is defined as left invariant vector fields on (tangent space at the identity ). The isomorphism is given (as in finite dimensions) by and the Lie bracket on is induced by the Lie bracket of
Lie Groups of Fourier Integral Operators on Open Manifolds
Jürgen Eichhorn,Rudolf Schmid
Mathematics , 1999,
Abstract: We endow the group of invertible Fourier integral operators on an open}manifold with the structure of an ILH Lie group. This is done by establishing such structures for the groups of invertible pseudodifferential operators and contact transformations on an open manifold of bounded geometry, and gluing those together via a local section.
Improved Deep Learning Baselines for Ubuntu Corpus Dialogs
Rudolf Kadlec,Martin Schmid,Jan Kleindienst
Computer Science , 2015,
Abstract: This paper presents results of our experiments for the next utterance ranking on the Ubuntu Dialog Corpus -- the largest publicly available multi-turn dialog corpus. First, we use an in-house implementation of previously reported models to do an independent evaluation using the same data. Second, we evaluate the performances of various LSTMs, Bi-LSTMs and CNNs on the dataset. Third, we create an ensemble by averaging predictions of multiple models. The ensemble further improves the performance and it achieves a state-of-the-art result for the next utterance ranking on this dataset. Finally, we discuss our future plans using this corpus.
Long-lived Feshbach molecules in a 3D optical lattice
Gregor Thalhammer,Klaus Winkler,Florian Lang,Stefan Schmid,Rudolf Grimm,Johannes Hecker Denschlag
Physics , 2005, DOI: 10.1103/PhysRevLett.96.050402
Abstract: We have created and trapped a pure sample of 87Rb2 Feshbach molecules in a three-dimensional optical lattice. Compared to previous experiments without a lattice we find dramatic improvements such as long lifetimes of up to 700 ms and a near unit efficiency for converting tightly confined atom pairs into molecules. The lattice shields the trapped molecules from collisions and thus overcomes the problem of inelastic decay by vibrational quenching. Furthermore, we have developed a novel purification scheme that removes residual atoms, resulting in a lattice in which individual sites are either empty or filled with a single molecule in the vibrational ground state of the lattice.
Iodine—A Potential Antioxidant and the Role of Iodine/Iodide in Health and Disease  [PDF]
Rudolf Winkler
Natural Science (NS) , 2015, DOI: 10.4236/ns.2015.712055
Abstract: In human physiology, iodine is primarily noted for its role in thyroid function and less so for its many extrathyroidal functions, particularly those based on its antioxidant properties. As I- it protects against free radicals and peroxides. This is seen in vitro in decreased depolymerization of hyaluronic acid and increased antioxidant status in human serum, and in vivo in increased antioxidant enzyme activities and decreases of malondialdehyde and peroxides. It could be shown or deduced that balneotherapeutic applications of iodine/iodide have a positive effect on cardiocirculatory diseases, respiratory disorders, some eye diseases (dry eye, cataract, age-related macular degeneration), and other degenerative diseases connected with increased oxidative stress that are also treated by balneotherapy.


Prevention of Iatrogenic Cervical Cancer  [PDF]
Rudolf Klimek
Open Journal of Obstetrics and Gynecology (OJOG) , 2015, DOI: 10.4236/ojog.2015.514109
Abstract: Cervical carcinogenesis consists of natural occurring spontaneous cellular processes which may lead to self-organized dissipative structures of cervical cancers what was first explained in 1977 after several years of my biochemical, biophysical, hormonal and clinical studies. That was possible thanks to monograph “Biochemie der Tumoren” written in 1942 by Nobel Prize winner H. von Euler with my master Prof. B. Skarzynski. Today I express my gratitude to Nobelist Harald zur Hausen and his team for they discovered the nuclide sequences of HPV in genomes of cervical cancer cells which opened the possibility to describe the causal role of information in formula of reality. Vaccines built from the protein capsid of HPV have proved only the pathogenic information about the virus because of its lack of DNAs. All the theories of carcinogenesis have properly described this event from methodologically different point of view. The point is that one should understand the thermodynamic rules underlying each of these approaches. Neoplasms are self-organized from the cells of the patient, who did not provide the necessary conditions for cellular metabolism as defined in the moment of appearance of its zygote. In light of medical thermodynamics all oncogenic factors can divide into sufficient or necessary to events for creating a dissipathogenic cellular status. Cervical cancer is a tumor associated with the human papillomavirus as only its pathogenic dissipathogenic factors, but the genome of cervical carcinoma cells maybe the original source of many types of HPV from the peeled off cancer cells of the uterine cervix. Many things are known to increase the risk of carcinogenesis which as a natural process is an alternative of cellular or social death. Neoplasm cell is an effect of carcinogenesis, but not a causal point at which it begins its existence.
Towards Real-World Applications of Online Learning Spiral Recurrent Neural Networks  [PDF]
Rudolf SOLLACHER, Huaien GAO
Journal of Intelligent Learning Systems and Applications (JILSA) , 2009, DOI: 10.4236/jilsa.2009.11001
Abstract: Distributed intelligent systems like self-organizing wireless sensor and actuator networks are supposed to work mostly autonomous even under changing environmental conditions. This requires robust and efficient self-learning capabilities implementable on embedded systems with limited memory and computational power. We present a new solution called Spiral Recurrent Neural Networks (SpiralRNN) with an online learning based on an extended Kalman filter and gradients as in Real Time Recurrent Learning. We illustrate its stability and performance using artificial and real-life time series and compare its prediction performance to other approaches. SpiralRNNs perform very stable and show an ac-curacy which is superior or similar to other state-of-the-art approaches. In a memory capacity evaluation the number of simultaneously memorized and accurately retrievable trajectories of fixed length was counted. This capacity turned out to be a linear function of the size of the recurrent hidden layer, with a memory-to-size ratio of 0.64 for shorter trajectories and 0.31 for longer trajectories. Finally, we describe two potential applications in building automation and logistics and report on an implementation of online learning SpiralRNN on a wireless sensor platform under the TinyOS embedded operating system.
Novas op??es na terapia insulínica
Schmid, Helena;
Jornal de Pediatria , 2007, DOI: 10.1590/S0021-75572007000700005
Abstract: objective:to review the new options in insulin therapy for controlling diabetes mellitus in children and adolescents. sources: articles indexed in pubmed were located using the search terms insulin analogs in children and adolescents and reviewed. information was also obtained from american diabetes association and sociedade brasileira de diabetes consensus documents. summary of the findings: information is presented on new analogs of insulin and, for purposes of comparison, the other insulin modalities currently available are also reviewed, focusing on insulin therapies which attempt to approximate basal-bolus treatment strategies to physiology. with the objective of obtaining improved metabolic control, more and more children are being put on multiple daily injection regimes or using continuous subcutaneous insulin infusion. it is difficult to achieve optimum glycemic control in children due to the increased risk of hypoglycemia resulting from the great variability in dietary intake habits and in physical activity levels. with diabetes type 1, if rapid-acting analogs are given subcutaneously in bolus, they generally reduce hypoglycemia episodes and postprandial glycemia levels, compared with regular human insulin, while basal analogs tend to reduce particularly the number of episodes of nocturnal hypoglycemia. conclusions: although the benefits to individual metabolic and clinical outcomes appear modest, the majority of studies demonstrate benefits when insulin analogs are used in the treatment of diabetes type 1 or 2.
Impacto cardiovascular da neuropatia auton?mica do diabetes mellitus
Schmid, Helena;
Arquivos Brasileiros de Endocrinologia & Metabologia , 2007, DOI: 10.1590/S0004-27302007000200012
Abstract: the neuropathic complications related to diabetes may affect the somatic, sympathethic and parasympathethic nervous system. as a result, there are several clinical manifestations of diabetic neuropathy. they can be related to nervous system lesions of the genital, urinary, gastro-intestinal, skin and cardiovascular tissues. the results of these alterations are loss in the quality of life as well as increase of mortality indexes related to sudden death with cardiac arrhythmias and other causes. the cardiovascular autonomic neuropathy probably contributes to the bad prognosis of the coronary heart disease and of the heart failure in type 1 and type 2 diabetic patients. for diabetologists, the nervous complications of diabetes are the result of an increase influx of glucose to the neuronal and endothelial cells. evidences show that, with the aim of preventing these complications, the diabetic patients should receive a precocious diagnosis and be instructed for having a good metabolic and blood pressure control. use of angiotensin converting enzyme inhibitors and beta adrenergic blockers are probably of impact in the prevention of the cardiac autonomic complications of diabetes.
Economic and programmatic aspects of congenital syphilis prevention
Schmid,George;
Bulletin of the World Health Organization , 2004, DOI: 10.1590/S0042-96862004000600004
Abstract: a review of the economic and programmatic aspects of congenital syphilis was conducted and recommendations made for improvement of its prevention. congenital syphilis is a preventable disease and the tools to prevent it have been available for decades. in both industrialized and developing countries, but particularly the latter, the prevention of congenital syphilis by antenatal screening is cost-effective and may be cost-saving. yet, globally, there are probably >500 000 fetal deaths a year from congenital syphilis, a figure rivalling that from mother-to-child transmission of human immunodeficiency virus (hiv), which receives far greater attention. the reasons that congenital syphilis persists vary, with international and national under-appreciation of the burden of congenital syphilis and insufficient political will to provide effective antenatal screening programmes probably being the main reasons. all causes are amenable to effective intervention programmes. the prevention of congenital syphilis should be a global priority; international agencies and national programmes should be committed to improving antenatal care (anc) services including syphilis detection and prevention.
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