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Search Results: 1 - 10 of 325459 matches for " S Suda "
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A Mathematical Approach to Balanced Tanner Graph Enumeration
Vivek S Nittoor,Reiji Suda
Mathematics , 2011,
Abstract: This paper summarizes our latest understanding and results about the application of the Mathematics Of Enumeration to Tanner Graphs that have a regular structure called Balanced Tanner Graphs. Some preliminaries of permutation groups have been presented followed by various enumeration theorems, and finally our approach for enumeration of Balanced Tanner Graphs has been explained, and several open questions have been raised.
Algorithms for Enumerating Balanced Tanner Graphs
Vivek S Nittoor,Reiji Suda
Mathematics , 2011,
Abstract: This summarizes our latest understanding and results about the algorithms for enumerating Tanner Graphs that have a regular structure called Balanced Tanner Graphs. Enumeration algorithms for Balanced Tanner Graphs based upon Cyclic Permutation Groups have been developed in this paper. A constrained enumeration algorithm that enumerates Balanced Tanner Graphs that have a relatively larger length of minimum cycle has been described.
Balanced Tanner Units And Their Properties
Vivek S. Nittoor,Reiji Suda
Computer Science , 2012,
Abstract: We introduce a new notation called Balanced Tanner Units for regular bipartite graphs. Several enumeration problems for labeled and unlabeled Balanced Tanner Units have been introduced. A general algorithm for enumerating all non-isomorphic (m,2) Balanced Tanner Units has been described and a mathematical proof has been provided for its completeness. An abstraction of m Symmetric Permutation Tree in order to visualize a labeled (m,r) BTU and enumerate its automorphism group has been introduced. An algorithm to generate the partition associated with two compatible permutations has been introduced. The relationship between Automorphism Group and permutation enumeration problem has been used to derive formulae for the number of compatible permutations corresponding to a specified partition. A family of labeled (m,r) BTUs has been introduced and an upper bound on the number of non-isomorphic graphs in this family has been derived and we raise open questions for girth maximum (m,r) BTU.
Analysis Of The Girth For Regular Bi-partite Graphs With Degree 3
Vivek S Nittoor,Reiji Suda
Computer Science , 2013,
Abstract: The goal of this paper is to derive the detailed description of the Enumeration Based Search Algorithm from the high level description provided in [16], analyze the experimental results from our implementation of the Enumeration Based Search Algorithm for finding a regular bi-partite graph of degree 3, and compare it with known results from the available literature. We show that the values of m for a given girth g for (m, 3) BTUs are within the known mathematical bounds for regular bi-partitite graphs from the available literature.
Partition Parameters for Girth Maximum (m, r) BTUs
Vivek S. Nittoor,Reiji Suda
Computer Science , 2012,
Abstract: This paper describes the calculation of the optimal partition parameters such that the girth maximum (m, r) Balanced Tanner Unit lies in family of BTUs specified by them using a series of proved results and thus creates a framework for specifying a search problem for finding the girth maximum (m, r) BTU. Several open questions for girth maximum (m, r) BTU have been raised.
Enumeration Based Search Algorithm For Finding A Regular Bi-partite Graph Of Maximum Attainable Girth For Specified Degree And Number Of Vertices
Vivek S Nittoor,Reiji Suda
Computer Science , 2013,
Abstract: We introduce a search problem for finding a regular bi-partite graph of maximum attainable girth for specified degree and number of vertices, by restricting the search space using a series of mathematically rigourous arguments from [1] and [2]. The goal of this paper is to derive the enumeration search algorithm for finding a girth maximum (m, r) BTU, which is notation for regular partite graph that has been introduced in [1], using the optimal partition results from [2] as a starting point, and also understand the structure of the search space and the computational complexity of the algorithm.
How Quantum Mechanics and General Relativity Can Be Brought Together  [PDF]
Martin Suda
Journal of Modern Physics (JMP) , 2016, DOI: 10.4236/jmp.2016.76054
Abstract: This paper describes an easy and teaching way how quantum mechanics (QM) and general relativity (GR) can be brought together. The method consists of formulating Schr?dinger’s equation of a free quantum wave of a massive particle in curved space-time of GR using the Schwarzschild metric. The result is a Schr?dinger equation of the particle which is automatically subjected to Newtons’s gravitational potential.
Procalcitonin level as a marker of severe sepsis and septic shock patients who required polymyxin-B immobilized fiber with direct hemoperfusion
T Ikeda, K Ikeda, S Suda
Critical Care , 2012, DOI: 10.1186/cc11692
Abstract: We evaluated the levels of procalcitonin (PCT) and markers of sepsis (IL-6, IL-8, IL-1ra and PAI-1) in 159 patients who had severe sepsis and septic shock. Before starting the polymyxin-B immobilized fiber with direct hemoperfusion (PMX-DHP) treatment, patients were divided into three groups according to their PCT levels (L group: 0.5 10.0 ng/ml).Sixty-two percent of the patients showed high PCT levels (>10.0 ng/ml). The APACHE II score and Sequential Organ Failure Assessment score tended to be high in the H group, but there was no significant difference among the groups. The survival rate declined with high PCT levels. The levels of inflammatory (IL-6 and IL-8) and anti-inflammatory (IL-1ra) cytokines tended to be high in the H group, but there was no statistically significant difference among the groups. On the other hand, the PAI-1 level was significantly increased in the H group (498 ± 499 ng/ml) compared with the L group (157 ± 103 ng/ml) and M group (311 ± 319 ng/ml).Sixty-two per cent of patients who required PMX-DHP treatment had high PCT levels. PCT might be a mediator of sepsis and sepsis markers. PCT can potentially affect sepsis-related markers.
Computation of Greeks Using Binomial Tree  [PDF]
Yoshifumi Muroi, Shintaro Suda
Journal of Mathematical Finance (JMF) , 2017, DOI: 10.4236/jmf.2017.73031
Abstract: This paper proposes a new efficient algorithm for the computation of Greeks for options using the binomial tree. We also show that Greeks for European options introduced in this article are asymptotically equivalent to the discrete version of Malliavin Greeks. This fact enables us to show that our Greeks converge to Malliavin Greeks in the continuous time model. The computation algorithm of Greeks for American options using the binomial tree is also given in this article. There are three advantageous points to use binomial tree approach for the computation of Greeks. First, mathematics is much simpler than using the continuous time Malliavin calculus approach. Second, we can construct a simple algorithm to obtain the Greeks for American options. Third, this algorithm is very efficient because one can compute the price and Greeks (delta, gamma, vega, and rho) at once. In spite of its importance, only a few previous studies on the computation of Greeks for American options exist, because performing sensitivity analysis for the optimal stopping problem is difficult. We believe that our method will become one of the popular ways to compute Greeks for options.
Influence of Gravitational Waves on Circular Moving Particles  [PDF]
Manfried Faber, Martin Suda
Journal of Modern Physics (JMP) , 2018, DOI: 10.4236/jmp.2018.94045
Abstract: We investigate the influence of a gravitational wave background on particles in circular motion. We are especially interested in waves leading to stationary orbits. This consideration is limited to circular orbits perpendicular to the incidence direction. As a main result of our calculation, we obtain in addition to the well-known alteration of the radial distance a time dependent correction term for the phase modifying the circular motion of the particle. A background of gravitational waves creates some kind of uncertainty.
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