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Articles 1021 - 1050 of 1170
Full-Text Articles in Mathematics
Some Lesson About The Law From Self-Referential Problems In Mathematics, John M. Rogers, Robert E. Molzon
Some Lesson About The Law From Self-Referential Problems In Mathematics, John M. Rogers, Robert E. Molzon
Michigan Law Review
We first describe briefly mathematician Kurt Gödel's brilliant Incompleteness Theorem of 1931, and explore some of its general implications. We then attempt to draw a parallel between axiomatic systems of number theory (or of logic in general) and systems of law, and defend the analogy against anticipated objections. Finally, we reach two types of conclusions. First, failure to distinguish between language and metalanguage in mathematical self-referential problems leads to fallacies that are highly analogous to certain legal fallacies. Second, and perhaps more significantly, Gödel's theorem strongly suggests that it is impossible to create a legal system that is "complete" in …
Some Aspects Of Multi Source Satellite Image Processing., L. Lalitha Dr.
Some Aspects Of Multi Source Satellite Image Processing., L. Lalitha Dr.
Doctoral Theses
The observation of a target by a device plaoed at some distance from it is cal.led remote sensing as ngainst in situ sensing where the sensor is kept in contact with the target. Usually physical emanations such as the electr omagnetic radiation from the target s observed by the sensing device. Sensors mounted on aircraft or satallite platforms measure the amount of energy reflected from or emitted by the earth's surface. Sensors scan the ground below a nd to either side of the satellite platform and as the platform noves forward, an image of the earths surface is formed.A satellite …
Contributions To The Neyman-Scott And Mixture Problem., Joydeep Bhanja Dr.
Contributions To The Neyman-Scott And Mixture Problem., Joydeep Bhanja Dr.
Doctoral Theses
Neyman and Scott (1948) were the first to point out that the method of maximum likelihood fails to provide elfficient estimates when the number of parameters grows with the sample size n. Consider the following examples introduced by them:Ezample 1.1 Let { Xi } be a sequence of independent random vectors in I", components Xij of Xi being independent normal with mean u, and variance o2 Ilere o2 is the parameter of interest. It is casy to sce that the maxinum likelihood estimate for o2 is not even consistent. It is also known (see Lindsay (1980), Pfanzagl (1982), van der …
The Mazur Intersection Property In Banach Spaces And Related Topics., Pradipta Bandyopadhyaya Dr.
The Mazur Intersection Property In Banach Spaces And Related Topics., Pradipta Bandyopadhyaya Dr.
Doctoral Theses
In the first part of this chapter we explain in general terms the main theme of this thesis and provide a chapter wise summary of its principal results. The second part recapitulates some of the known notions and results used in the subsequent chapters. The numbers given in parentheses correspond to those in the list of references on page 70.S. Mazur (40] was the first to consider the following smoothness property in normed linear spaces, called the Mazur Intersection Property (MIP), or, more briefly, the Property (1):Every closed bounded convex set is the intersection of closed balls containing it.He showed …
A Family Of Complexes Associated To An Almost Alternating Map, With Applications To Residual Intersections, Andrew R. Kustin, Bernd Ulrich
A Family Of Complexes Associated To An Almost Alternating Map, With Applications To Residual Intersections, Andrew R. Kustin, Bernd Ulrich
Faculty Publications
No abstract provided.
The Arboricity Of The Random Graph, Paul A. Catlin, Zhi-Hong Chen
The Arboricity Of The Random Graph, Paul A. Catlin, Zhi-Hong Chen
Scholarship and Professional Work - LAS
No abstract provided.
Nonsupereulerian Graphs With Large Size, Paul A. Catlin, Zhi-Hong Chen
Nonsupereulerian Graphs With Large Size, Paul A. Catlin, Zhi-Hong Chen
Scholarship and Professional Work - LAS
No abstract provided.
Σary, Moorhead State University, Mathematics Department
Σary, Moorhead State University, Mathematics Department
Math Department Newsletters
No abstract provided.
On Image Information Measures And Object Extraction., Nikhil Ranjan Pal Dr.
On Image Information Measures And Object Extraction., Nikhil Ranjan Pal Dr.
Doctoral Theses
The field of image processing deals with the manipulation of data which are inherently two-dimensional in nature. techniques of image processing sten from two principal application The areas, namely, Improvement of pictorial information for human interpretation and processing of scene data for automatic machine perception. These areas together have experienced a vigorous growth in recent years because they have offered a number of important applications in solving scientific and engineering problems. In biological and medical sciences, we are interested in automatie analysis and interpretation of radiographs, cell images micrographs. In netallurgical, geological and and tissue environmental sciences, we are concerned …
On Separable Torsion- Free Modules Of Countable Density Character, R. Gobel, Brendan Goldsmith
On Separable Torsion- Free Modules Of Countable Density Character, R. Gobel, Brendan Goldsmith
Articles
The endomorphism algebras of modules of large cardinalities have been extensively studied in recent years using the combinatorial set-theoretic techniques of Shelah-the so-called black-box methods (see, e.g., [4, 5, 151). Despite the spectacular success of these methods, they are not suitable for realization theorems at small carinalities. Of course at the level of countability (or rather more generally for cardinals ~2’~) there are in some cases the original dramatic results of A. L. S. Corner [ 1, 2, 31 and the more recent generalizations of Gobel and May [ 111. Very recently the study of realization problems at cardinalities
Linear Programming By G.V. Shenoy, New Delhi: Wiley Eastern Limited, 1989., A K Rao
Linear Programming By G.V. Shenoy, New Delhi: Wiley Eastern Limited, 1989., A K Rao
IIMB Management Review
No abstract provided.
Degree Of Adaptive Approximation, Ronald A. Devore, Ming Yu Xiang
Degree Of Adaptive Approximation, Ronald A. Devore, Ming Yu Xiang
Faculty Publications
We obtain various estimates for the error in adaptive approximation and also establish a relationship between adaptive approximation and free-knot spline approximation.
Some Contributions To Generalized Inverse And The Linear Complementarity Problem., N. Eagambaram Dr.
Some Contributions To Generalized Inverse And The Linear Complementarity Problem., N. Eagambaram Dr.
Doctoral Theses
A generalized inverse (g-inverse) of a matrix A is a solution x to the matrix equationA XA = A(1.1.1)A g-inverse of A can be defined alternatively as a matrix x such that x = Xb is a solution to the linear equation Ax -b for any b that makes - b consistent. There is a vast literature on g-inverse. For a number of results on g-inverses and their applications one may refer to the well known books in the literature by Rao and Mitra (1971); and by Ben Israel and Greville (1974).Another inverse that lies hidden in the definition of …
Σary, Moorhead State University, Mathematics Department
Σary, Moorhead State University, Mathematics Department
Math Department Newsletters
No abstract provided.
Norms Of Positive Operators On Lp-Spaces, Ralph Howard, Anton R. Schep
Norms Of Positive Operators On Lp-Spaces, Ralph Howard, Anton R. Schep
Faculty Publications
No abstract provided.
Curvatures Of Left Invariant Metrics On Lie Group And Parametric Homotopy Principles For A Class Of Partial Differential Relations On Closed Manifolds., Amitabh Tiwari Dr.
Curvatures Of Left Invariant Metrics On Lie Group And Parametric Homotopy Principles For A Class Of Partial Differential Relations On Closed Manifolds., Amitabh Tiwari Dr.
Doctoral Theses
The title of this thesis refers to two problems of different nature having no connection between them. These problems ere presented in two parts. In Pert I we have settled two conjectures of Milnor, on Lie groups with left-invariant metrics, in the affirmative and in Part II we have obtained a now Smale - Hirsch - Gromov - type theorem on the homotopy classification of a close of portial differential relations on closed manifolds. More detailed introduotions to these parts are given at the beginning of each part, It has bean our attempt to make the presentations as self-contained as …
On Two Function-Spaces Which Are Similar To L0, S J. Dilworth, D A. Trautman
On Two Function-Spaces Which Are Similar To L0, S J. Dilworth, D A. Trautman
Faculty Publications
No abstract provided.
Composing Math Education In The Information Age: A Song Of Change, Camille Baker
Composing Math Education In The Information Age: A Song Of Change, Camille Baker
Graduate Student Independent Studies
This research describes what happened when a teacher implemented change directed toward a relevant math curriculum and effective pedagogy which address present day needs. The assessment of these needs includes an investigation of today's reform literature and the nature of mathematics, along with the history of education and cognitive theory of the 1900's.
Contribution To The Theory Of Stochastic Games., Sagnik Sinha Dr.
Contribution To The Theory Of Stochastic Games., Sagnik Sinha Dr.
Doctoral Theses
A mathematical theory of Games of Strategy was born in several stages between 1928 and 1941. John von Neumann is known as its father. The culmination of the pioneering work of von Neumann and Morgenstern was the publication of the Theory of Games and Economic Behavior (Ref.28] in 1944. Ik is snid of the book . posterity may regard this book as one of the major scientifie achievements of the first half of the twentieth century. Emphasizing a new approach to competetive behaviour through a mathematical reduction to suitable games of strategy, this giant work laid bare a host of …
Σary, Moorhead State University, Mathematics Department
Σary, Moorhead State University, Mathematics Department
Math Department Newsletters
No abstract provided.
Applications Of The Calculus For Factorial Arrangements And Allied Topics., Mausumi Bose Dr.
Applications Of The Calculus For Factorial Arrangements And Allied Topics., Mausumi Bose Dr.
Doctoral Theses
This thesis deals primarily with the application of the calculus for factorial ar- rangements (Kurkjian and Zelen (1962, 1963)) to various designs. The thesis has been divided into six chapters. We have made extensive use of Kronecker products and various other results from matrix theory. The results in the first two chapters involve the use of projection operators.In the first four chapters, different classes of factorial experiments have been studied by applying the calculus. Chapter 5 deals with another class of designs called repeated measurements designs (RMD's). It has been shown that the calculus for factorial arrangements serves as a …
A Note On Roe's Characterization Of The Sine Function, Ralph Howard
A Note On Roe's Characterization Of The Sine Function, Ralph Howard
Faculty Publications
No abstract provided.
Some Contributions To The Asymptotic Theory Of Estimation In Non Regular Case., Tapas Samnta Dr.
Some Contributions To The Asymptotic Theory Of Estimation In Non Regular Case., Tapas Samnta Dr.
Doctoral Theses
The introduction of the concept of onymptotie efficiency of statistical eatimators in connection with proposing and developing she method of maximu, 1ikelihood by . Fislior (Fisher (1922, 1929)) 1s really the atar ting point of the asymptotie theory of es timation. -istorieally, however, Laplace (1774) and Gausa (1009) had made tuo irferent studieo oarlier then Fisher bo ti connected d th as ymp to tie theory of estination. Fisher considered only consistent a symptotically rewnal untinotoro and meured the asyaptotie performance of an anti- mator by ite aayep totle variaree. Thus, a coreistent aeynp to tieally nomal eetimoator with let …
Connections On Small Vertex Model., R. Srinivasan Dr.
Connections On Small Vertex Model., R. Srinivasan Dr.
Doctoral Theses
This thesis is devoted to the classification of a special class of commuting squares called vertex models.The first chapter is indroductory in nature and is included for the sake of completeness and convenience of reference. It starts with the description of the basic construction and the invariants called the principal and dual graph for an inclusion of II1, factors. After defining a commuting square we describe the special class of commuting squares called vertex model given by an Mn, O Mk, biunitary matrix . Finally we state some results, without proof, about vertex nodels from (KSC).The second chapter in the …
The Centrality Of Mathematics In The History Of Western Thought, Judith V. Grabiner
The Centrality Of Mathematics In The History Of Western Thought, Judith V. Grabiner
Pitzer Faculty Publications and Research
This article explores the interplay of mathematics and philosophy in Western thought as well as applications to other fields.
On Sequential Test Procedure With Application In Identification And Selection., Atasi Basu Dr.
On Sequential Test Procedure With Application In Identification And Selection., Atasi Basu Dr.
Doctoral Theses
The area of sequential testing of statistical hypothesss is an important part of sequential analysis. The idea of a sequential test goes back to Dodge and Romig (1929) who cons tructed a double sampling procedure for sampling inspection. They wers motivated by the obser- vation that the double sampling plan requires a smaller number of observations on the average when compared uith the corresponding single sampling plan, Later schemes like multiple sampling vide Wlalter Bartky (1943) and interesting practical application of large scale experimente in successive stages vide Mahalanobis (1940) started comni ng up.The formal theory in sequential analysis began …
Some Aspects Of Majorization And Their Applications In Statistics., Subir Kumar Bhandari Dr.
Some Aspects Of Majorization And Their Applications In Statistics., Subir Kumar Bhandari Dr.
Doctoral Theses
The works in this dissertation are primarily baset ur. difterent concepts of majorization and the results thereof. True first part of this dissertation is a study on dirfferent concepts of uni variate and multivariate majorization. The latter part of this dissertation includes studies on some problems in Sample Survey, and problems relating to ranking and selection with the use of some results, old and new, in majorization.The concept of univariate majorization has been consi- dered by economists in relation to Lorenz ourve, as well as by mathematicians and statisticians, especially in the field of reliability. It appears that the results …
Σary, Moorhead State University, Mathematics Department
Σary, Moorhead State University, Mathematics Department
Math Department Newsletters
No abstract provided.
Study On Mappings And Maniforlds Of Fueter Hypercomplex And Almost Complex Types., Basudeb Dutta Dr.
Study On Mappings And Maniforlds Of Fueter Hypercomplex And Almost Complex Types., Basudeb Dutta Dr.
Doctoral Theses
This thesis ie concerned chiefly with oertain families of smooth ... mappinga from domains in IRn to IRn which arise as natural generali- setione of complex anelytio mappinge. Thess Fueter families heve important hypercomplex aubfamilies defined via convergent Laurent series in one queternionio or actonionio veriable (with central coeffi- ofents). The various families and subfamdlies are olosed under compositior and inversion (when defined) of, meppinge consequently they form pseudo- groups on which one can model manifolds. The geometry of manifolde which oerry such ;Fueter or hypercomplex structure turna out to be qui ta %3D rich. In particular, they heve oanonioal …
On A Class Of Stochastic Approximation -Type Parameter-Learning Algorithms For Pattern Recognition., Amita Pal Dr.
On A Class Of Stochastic Approximation -Type Parameter-Learning Algorithms For Pattern Recognition., Amita Pal Dr.
Doctoral Theses
The first tank can involve one or more subtasks. For instance, it may require the design of a classifier on the basis of whatever prior knowledge there is of the feature space, or given the design, to estimate efficiently the parameters of the classifier. The latter might involve the estimation of the density function itself if very little is known about the class-conditional fenture distribution, or it may necessitate the entimation of the parameters of the fenture distribution, if one can assume it to have some known form. It may also involve estimating the boundaries of the classes, if even …