Physical Sciences and Mathematics Commons^™

Ife, An Interactive Formula Editor, Teresa C. Chau

FIU Electronic Theses and Dissertations

IFE, the Interactive Formula Editor is an experimental system designed, developed and implemented to propose a different approach to handle mathematical formulae. Its main characteristics are: (1) Interactive creation and edition of a mathematical formula, (2) Tex-form output for a printed version of a formula, and (3) Ability to generate a new set of characters by means of a character editor.

Mathematical symbols are provided and adjusted by the system, automatically. The system also, guides the user during the formula description because it knows the syntax of the graphical representation.

The system seems to be complete and perform well. The …

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.

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.

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

Math Department Newsletters

No abstract provided.

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 …

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 …

Interpolation Of Besov-Spaces, Ronald A. Devore, Vasil A. Popova

Faculty Publications

We investigate Besov spaces and their connection with dyadic spline approximation in Lp(Omega), 0 < p (less than or equal to) infinity. Our main results are: the determination of the interpolation spaces between a pair of Besov spaces; an atomic decomposition for functions in a Besov space; the characterization of the class of functions which have certain prescribed degree of approximation by dyadic splines.

The Twentieth Fermat Number Is Composite, Jeff Young, Duncan A. Buell

Faculty Publications

The twentieth Fermat number, F₂₀ = 2^{2^20} +1, has been proven composite by machine computation.