Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 20 of 36 for “"infinite series"”.
-
Infinite Series Identities in the Theory of Elliptic Functions and Q-Series
We prove several infinite series identities. In Chapter 2, We extend C. L. Siegel's method of proving the Dedekind-eta function transformation by integrating some selected functions over a positively oriented polygon, generalizing Siegel's integration over a parallelogram. As consequences, we …
-
Effect of correlation between shadowing and shadowed points in rough surface scattering
… probability is computed numerically using an infinite series of integrals, developed by Ricciardi and Sato, and by Monte Carlo computer simulations. The results obtained are compared to the analytic approximations of Wagner and Smith, which neglect correlation between the shadowing points and …
-
New identities for Legendre associated functions of integral order and degree
… differential operator can be expanded as an infinite series of orthogonal functions. In many coordinate systems (such as the spherical, spheroidal and some cyclidal systems) these expansions are given in terms of Legendre associated functions of integral order and degree. Starting with …
-
Optimal Row-Column Designs for Correlated Errors and Nested Row-Column Designs for Uncorrelated Errors
… and near optimum designs, that produces several infinite series of universally optimum designs on the torus and near optimum designs in the plane. Efficiencies are calculated for planar versions of the torus designs, which are found to be highly efficient with respect to some commonly used …
-
A Mathematical Model of Horizontal Wells Productivity and Well Testing Analysis
… our formulae, which do not use the sum of infinite series, are more reasonable and easy to be used in well testing analysis.
-
A Method of Moments Solution of Stripline Discontinuity Problems
… a technique for accelerating the summation of an infinite series which has the form of a periodic Green's function in rectangular coordinates. The application of this series acceleration technique to the infinite stripline problem constitutes the second topic. In this application, the cutoff …
-
Power Series Solutions to Ordinary Differential Equations
… will be made aware of methods for finding power series solutions to ordinary differential equations. In the case that a solution to a differential equation may not be expressed in terms of elementary functions, it is practical to obtain a solution in the form of an infinite series, since many …
-
The Factoradic Integers
… to prime factorization, exponentiation, infinite series, and continuous functions, as well as to polynomials and their extensions. The structure of the factoradic integers is highly dependent upon the distribution of the prime numbers and relates to various topics in algebra, number …
-
Probabilidades de duração de seca empregando a Teoria de Runs
… monthly an yearly time intervals of four runoffs series and two rainfalls series. A log normal three distribution was adjusted to each independent component of hydrologic series available where the time interval was considered to be a month. In case of yearly time intervals a normal distribution …
-
Hyperreal structures arising from an infinite base logarithm
This paper presents new concepts in the use of infinite and infinitesimal numbers in real analysis. theory is based upon the hyperreal number system developed by Abraham Robinson in the 1960's in his invention of "nonstandard analysis". paper begins with a short exposition of the construction of …
-
The Convergence of Lebesgue Derivatives and Ergodic Averages
We study certain operators defined by infinite series that describe the nature of convergence of stochastic processes; these include square functions, oscillation operators, and variation operators. The goal is to prove that these operators map Linfinity to BMO and are of strong type (p, p) where 1 …
-
The numerical solution of waveguide discontinuity problems
… is found to be sensitive to the way in which infinite series of field functions are truncated, and it is shown how the optimum form of truncation can be determined for many configurations of practical importance. Several examples showing the application of the method are given, and comparison …
-
Analysis of the top slab of a skewed rigid frame bridge for extension
… the equations have been given in the form of an infinite series. These equations, together with the ones for the other parts of this problem, must be expanded for a few terms, combined and solved. Due to the size and number of equations involved, the only practical solution would involve the use …
-
Optimality and Construction of Designs with Generalized Group Divisible Structure
… used to establish the A- and D-optimality of an infinite series of NBBD(2)s having unequal numbers of replicates. Also, a result from Jacroux (1985) is used to establish the A-optimality of a new series of NBBD(1)s.</p> <p>Several methods of construction of GGDD(s)s are developed from which many …
-
Modular equations and Ramanujan's cubic and quartic theories of theta functions
… in his work on basic bilateral hypergeometric series and mock theta functions. In Chapter 4, we derive new identities related to the Ramanujan-G\""{o}llnitz-Gordon continued fraction that are similar to those for the famous Rogers-Ramanujan continued fraction. We give a new proof of the …
-
Idempotents in group rings
… where ê = Σ{x ∊ G}ê(x)x lifts e. Here ê is an infinite series with |ê(x)|<sub>p</sub>→0, where each ê(x) lives in the Witt vector ring of k. We prove that ltr(e) depends on e only, it is a p-adic integer and ltr(e) = ltr(f) if f is equivalent to e. Also ltr(e) ∊ Q and ltr(e) = 0 implies e = 0 …
-
Application of r-Adaptation Techniques for Discretization Error Improvement in CFD
… error represents the higher order terms in an infinite series which are truncated during the discretization of the continuous governing equations of a model. Discretization error can be reduced through uniform grid refinement but is often impractical for typical engineering problems. Grid …
-
Prediction of regenerator thermal performance using a non-iterative method of computation
… errors which can arise during the summation of infinite series and in the application of methods for numerical quadrature and for the numerical integration of differential equations.<br/><br/>The application of the techniques developed to achieve the necessary error control has enabled thermally …
-
Vibrations of and sound radiation from some periodic structures under convected loadings
This thesis deals with the forced, vibrations of infinite periodically supported beams, orthogonally stiffened plates and ring stiffened cylindrical shells excited by random convected loadings. The sound power radiated under these conditions is also dealt with. The stiffened structures are …
-
Resonance studies of artificial earth satellites
… The gravity field is expressed as a double infinite series of associated Legendre functions (tesseral harmonics). In contemporary global gravity field models the overall geoid is well determined. An independent check on these gravity field harmonics of a particular order may be made by …
Page 1 of 2