Thesis (doctoral)--Friedrich-Wilhelms-Universität zu Berlin, 1889. / Vita.

Proefschrift--Groningen.

Proefschrift--Groningen.

Inaug.-diss.--Universität Bern.

Inaug.-diss.--Königsberg i. Pr. / Lebenslauf.

We define a formula (phi)(x;t)(' )in a first-order language L, to be an equation in a category of L-structures if, for any H in , and set p = {(phi)(x;a(,i));(' )i (ELEM) I, a(,i)(' )(ELEM) H} there is a finite set I(,0) (L-HOOK) I such that for any f:H(--->)F in ,(' )(INTERSECT)(,i(ELEM)I(,0))(phi)(F;fa(,i)) =(' )(INTERSECT)(,i(ELEM)I)(phi)(F;fa(,i)). / We say that a complete theory T is equational if any formula is equivalent in T to a boolean combination of equations in od(T), and we note that equational theories are stable. / Thus, we develop a theory of independence with respect to equations in general categories of structures, which is similar to the one introduced in stability (and actually identical to it in the case of equational theories) but which, in our context, have an algebraic character. / We then compare the concepts introduced in stability theory to corresponding notions in the context of equational theories.

Thesis (Ph. D.)--University of Wisconsin--Madison, 1932. / Typescript and manuscript. eContent provider-neutral record in process. Description based on print version record.

No description available.

by Linda Hoi-ying Yau. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1991. / Includes bibliographical references. / Chapter Chapter 1 --- Preliminary / Chapter § 1.1 --- Introduction page --- p.1 / Chapter § 1.2 --- Notations page --- p.3 / Chapter Chapter 2 --- Multilevel Analysis of Structural Equation Models with Multivariate Normal Distribution / Chapter § 2.1 --- The Multilevel Structural Equation Model page --- p.4 / Chapter § 2.2 --- "First Stage Estimation of and Σkmkm-1---ki+1wo for i=1,...,m-1 page" --- p.5 / Chapter § 2:3 --- Second Stage Estimation of Structural Parameters page --- p.10 / Chapter Chapter 3 --- Generalization to Arbitrary and Elliptical Distributions / Chapter § 3.1 --- Asymptotically Distribution-Free Estimation page --- p.25 / Chapter § 3.2 --- Elliptical Distribution Estimation page --- p.30 / Chapter Chapter 4 --- Artificial Examples / Chapter § 4.1 --- Examples on Multivariate Normal Distribution Estimation Page --- p.34 / Chapter § 4.2 --- Examples on Elliptical Distribution Estimation page --- p.40 / Chapter §4.3 --- Findings and Summary Page --- p.42 / Chapter Chapter 5 --- Conclusion and Discussion page --- p.44 / References page --- p.47 / Figure 1 page --- p.49 / Appendices page --- p.50 / Tables Page --- p.59

It is the purpose of this paper to study the approximation to real functions by certain power series. Specifically, Taylor's series and generalizations of Taylor's series are considered. The importance of the behavior of the remainder, defined in chapter 1, demands a study of the difference between a function and the terms of an approximation sequence. Thus, this paper is devoted to the presentation of various forms of the remainder term when the approximation is by Taylor's expansion or some of its generalizations. / "May, 1955." / Typescript. / Advisor: B. F. Hadmot, Professor Directing Paper. / "Submitted to the Graduate Council of Florida State University in partial fulfillment of the requirements for the degree of Master of Science." / Includes bibliographical references (leaves 72-73).