Admissible orders on quotients of the free associative algebra

An admissible order on a multiplicative basis of a noncommutative algebra A is a term order satisfying additional conditions that allow for the construction of Grobner bases for A -modules. When A is commutative, a finite reduced Grobner basis for an A -module can always be obtained, but when A is not commutative this is not the case; in fact in many cases a Grobner basis theory for A may not even exist. E. Hinson has used position-dependent weights, encoded in so-called admissible arrays, to partially order words in the free associative algebra in a way which produces a length-dominant admissible order on a particular quotient of the free algebra, where the ideal by which the quotient is taken is an ideal generated by pure homogeneous binomial differences and is determined by the array A. This dissertation investigates the properties of two large classes of admissible arrays A. We prove that weight ideals associated to arrays in the first class are finitely generated and we describe the generating sets. We exhibit instances of trivial and nontrivial finitely generated weight ideals associated to arrays in the second class and we partially characterize the corresponding arrays. We also exhibit instances of weight ideals associated to arrays in the second class which do not admit a finite generating set. We identify an algebro-combinatorial property on weight ideals, which we call saturation, that is connected to finite generation. In addition, we look at actions of the multiplicative monoid generated by the set of transvections and diagonal matrices with non-negative entries on the set of equivalence classes of admissible arrays under order-isomorphism and we analyze the stabilizers and orbits of these actions

Accounting Historians Journal, 1981, Vol. 8, no. 2 [whole issue]

Fall issu

Volume 12- Issue 7- April, 1903

The Rose Thorn, Rose-Hulman\u27s independent student newspaper.https://scholar.rose-hulman.edu/rosethorn/2123/thumbnail.jp

An exploration and validation of computer modeling of evolution, natural selection, and evolutionary biology with cellular automata for secondary students.

The Evolutionary Tool Kit, a new software package, is the prototype of a concept simulator providing an environment for students to create microworlds of populations of artificial organisms. Its function is to model processes, concepts and arguments in natural selection and evolutionary biology, using either Mendelian asexual or sexual reproduction, or counterfactual systems such as \u27paint pot\u27 or blending inheritance. In this environment students can explore a conceptual What if? in evolutionary biology, test misconceptions and deepen understanding of inheritance and changes in populations. Populations can be defined either with typological, or with populational thinking, to inquire into the role and necessity of variation in natural selection. The approach is generative not tutorial. The interface is highly graphic with twenty traits set as icons that are moved onto the \u27phenotypes\u27. Activities include investigations of evolutionary theory of aging, reproductive advantage, sexual selection and mimicry. Design of the activities incorporates Howard Gardner\u27s Theory of Multiple Intelligences. Draft of a teacher and student manual are included

A consideration of the antiquarian and literary works of Joseph Strutt, with a transcript of a hitherto inedited manuscript novel

PhDThe first part of this thesis considers Joseph Strutt's life, and his place in antiquarian 8tudieo. Strutt (1749- 1802) was trained as an engraver. Some of his early commissions introduced him to the illuminated, manuscripts of the British Museum, and led to the serie8 of illustrated volumes on antiquarian subjects which he published between 1773 and. 1778 (the Regal and. Ecclesiastical Antiquities, the Manners and Customs, the Chronicle of England.). The next fifteen. years were devoted to engraving and related work, including an extens ively-researched biographical dictionary of engravers: this aspect of Strutt's work is not covered by the present study. In the 1790's, Strutt pubLished two more work6 of antiquarian research, the Dress and Habits and the ports and Pastimes. A number of literary works were published posthuniously:two plays (Ancient Times and The Test of Guilt); a mock-epic poem (The Bumpkins' Disaster); and. a four-volume novel set in the fifteenth century (Queenhoo-wall). A further prose work survives in manuscript. The literary works are studied. in the second part of the thesis, and a transcript is given of the unpublished maiuscript. This study attempts to show how Strutt's interpretation of the early periods of English history and literature helped to form the pre-Romantic taste for the medieval. The plates of his antiquarian works, taken almost exclusively from manuscripts contemporary with the subjects described, familiarised his audience with what had formerly been strange to all but the specialist. His works of fiction are attempts to do the same thing by literary means. Walter Scott was employed. to edit the incomplete manuscript of Queenhoo-JTall: be was encouraged by Strutt's example to take up his own writing of historical fiction

The Scottish comprehensive school: it’s function and the roles of its teachers, with special reference to the opinions of pupils and student-teachers

The research compared the views of a sample of Scottish comprehensive-school pupils and, a sample of students training to become secondary-school teachers in two Scottish Colleges of Education on the two subjects: "The Characteristics of a Good Teacher" and "The Purpose of School". Essays on the two topics were collected from a sample of pupils in three comprehensive schools in central Scotland. The essays were unitized into statements, and two category-systems were developed to code them. Statements on both topics were also obtained from a small sample of student-teachers to ensure that the universe of statements derived from the essays was truly exhaustive. The statements made most frequently by pupils were included in a two-part questionnaire; care was taken to ensure that the views of all the sub-groups of the pupil sample were properly represented. The questionnaire was administered to a sample of pupils and student-teachers. The method of completion was devised by the researcher to facilitate the selection of a small group of statements to be ranked from an initially large number of statements. This process involved progressive stages of elimination by means of "collapsing" four lists of statements to form two, and finally one. Six alternative forms of the questionnaire were constructed, to avoid bias arising from the statements' order of presentation. The four lists on both sections of the questionnaire were also balanced by the seeding of statements across the lists according to their estimated appeal to respondents, and by the equal distribution of statements referring to particular areas, (eg. the teacher's discipline).The results revealed major disagreement between students' and pupils' views on the purpose of school, but closer agreement on the characteristics of a good teacher

Studies in literary modes

THE eight essays in this book are all discussions either of literary kinds or of literary mechanisms. Of the first three essays I need say only that they are each self -contained and independent. The other five, though each is likewise complete in itself, together form a group. They are among the products of a study of the origin, justification, and use of rhyme, its varieties, its cognates (assonance, alliteration, parallelism, the refrain, and the like), the part played by these various devices on the formal side of poetry, their bearing on poetic diction and style, and their relation to the ultimate nature of poetry and its kinds and to the artistic impulse generally.In the fifth, the sixth, and to some extent the eighth of the essays published here the pursuit of the ramifying subject of rhyme has carried me out of English which is my province into the literature of other languages in which I make no pretence to move with the same freedom. Accordingly I offer my opinions on these languages and literatures with hesitation and all the diffidence becoming to a student of English who has gone where his research has led him, no doubt far afield but perhaps not too far astray.I. THE HISTORICAL NOVEL || 2. THE ART OF SATIRE AND THE SATIRIC SPECTRUM || 3. A DEFENCE OF RHETORIC, OR PLATO, PASCAL, AND PERSUASION || 4. POETRY AND VERSE || 5. MILTON AND THE RENAISSANCE REVOLT AGAINST RHYME || 6. THE RHYMING ANCIENTS || 7. THE DIFFICULTY OF RHYMING || 8. RHYME AND NO RHYM