Reconstructing blockages in a symmetric duct via quasi-isospectral horn operators

This paper proposes a new method for the reconstruction of the blockage area function in a symmetric duct by resonant frequencies under a given set of end conditions, i.e., open open or closed-closed ends. The analysis is based on the explicit determination of quasi-isospectral ducts, that is duct profiles which have the same spectrum as a given duct with the exception of a single eigenfrequency which is free to move in a prescribed interval. The analytical reconstruction was numerically implemented and tested for the detection of blockages. Numerical results show that the accuracy of identification increases with the number of eigenfrequencies used and that the reconstruction is rather stable with respect to the shape, the size and the position of the blockages

Comparison of the vocabularies of the Gregg shorthand dictionary and Horn-Peterson's basic vocabulary of business letters

This study is a comparative analysis of the vocabularies of Horn and Peterson's The Basic Vocabulary of Business Letters1 and the Gregg Shorthand Dictionary.2 Both books purport to present a list of words most frequently encountered by stenographers and students of shorthand. The, Basic Vocabulary of Business Letters, published "in answer to repeated requests for data on the words appearing most frequently in business letters,"3 is a frequency list specific to business writing. Although the book carries the copyright date of 1943, the vocabulary was compiled much earlier. The listings constitute a part of the data used in the preparation of the 10,000 words making up the ranked frequency list compiled by Ernest Horn and staff and published in 1926 under the title of A Basic Writing Vocabulary: 10,000 Words Lost Commonly Used in Writing. The introduction to that publication gives credit to Miss Cora Crowder for the contribution of her Master's study at the University of Minnesota concerning words found in business writing. With additional data from supplementary sources, the complete listing represents twenty-six classes of business, as follows 1. Miscellaneous 2. Florists 3. Automobile manufacturers and sales companie

Human Ingenuity: A Novel Standard for Patenting Algorithms

This Comment advocates that the Court afford patent protection to algorithms by adopting the standard of patentability applied in biotechnology patent law: human ingenuity. Part II describes some fundamental aspects of computer technology. Part III discusses the current state of patent law concerning patenting algorithms. Part IV demonstrates that the Court\u27s restrictive standard of patentability is not consistent with case precedent. Part V describes how the Court\u27s policy of precluding algorithms from patent protection subverts the patent system. Part VI explicates a standard of patentability, human ingenuity, and describes how this standard would return predictability to the patent system

Contemporary Biblical Instruction for the Early 21st Century: A Ten-Year Plan for Endurance Ministries, Inc.

The purpose of this dissertation is to present a biblical, historical and personal theology on the theme of eschatological deception with the intent of serving the people of God in Jesus Christ through educational ministries that address this concern in a balanced, contemporary manner. Given Christendom\u27s universal epistemological allegiances, a biblical theology is first presented. The Word of God continues to be that blessed lamp unto our path. After a simple exegetical consideration of key pertinent passages that speak to this theme of deceit, a brief but sufficient historical sketch of specific end-time themes relating to deception will follow. Both secular and spiritual movements will be cited, including present examples of authority voices currently promoting biblically defined deceptions predicted to occur before the return of Jesus Christ. Theological address is an existential endeavor. Putting to use recent insight so as to avoid neglect of a crucial portion of the whole, a personal theology is presented, including correct doctrine, appropriate passion and resolve to be of pragmatic good to our world. The inclusion of this more personal element has been given restored participation in the pursuit of truth as a result of the positive fruit of Postmodernity. This continues to be a good thing, especially when proper authority is given to the means God uses to speak to us concerning Himself and His ways. The final section takes the commitment to do, a step further. Having firm biblical foundation articulating clear end-time deceptions, citing strong justification from recent history and present culture (that these very deceptions are present today), and confessing a personal theology affirming the above and zeal toward addressing this current affair, an action plan is surely warranted. A specific ten-year ministry plan emphasizing education about these concerns is then outlined, putting to use major vehicles through which the crucial information can be shared. May our precious God most high-the Father, Jesus Christ, and the Holy Spirit-alone be glorified in this practical response to His revelation to us in these days prior to the glorious return of our Lord Jesus Christ. Even so, come Lord Jesus

Zipf's Law and Avoidance of Excessive Synonymy

Zipf's law states that if words of language are ranked in the order of decreasing frequency in texts, the frequency of a word is inversely proportional to its rank. It is very robust as an experimental observation, but to date it escaped satisfactory theoretical explanation. We suggest that Zipf's law may arise from the evolution of word semantics dominated by expansion of meanings and competition of synonyms.Comment: 47 pages; fixed reference list missing in v.

Numerical Modeling and Experiments on Sound Propagation Through the Sonic Crystal and Design of Radial Sonic Crystal

Ph.DDOCTOR OF PHILOSOPH

Locating Scotland's Ordinary Folk, among the lesser known sources for social and family history research c.1630-c.1790.

Social historians often discuss and endeavour to examine the social levels of Scotland's early modern society, but outwith the church records there is scant evidence ofthe subtenantry who made up the vast majority ofthe population. Parish registers do not exist for most of Scotland prior to the 1690s, therefore to obtain an indication of what social levels may have been like in our c.1630 to c.1790 study period, this work sets out to show how a patchwork of obscure sources can still be utilised to formulate some conclusions, in at least three geographically contrasting study areas.With a north western area on the highland line and a planned mill village in the southeast, Auchtergaven in Perthshire may reflect Scotland in miniature. Listings of inhabitants for c.1650 and 1790 located in the Murthly Castle Muniments provide useful information. Auchtergaven adopted the new farming methods, but seventeenth to eighteenth century comparisons with the Argyll Estate records show only parts of Argyll saw similar changes. In Tiree and the north and west one finds a totally different country and culture, where agricultural improvements were either resisted or simply ignored. The persistence of subsisting shared tenancies there were a significant contrast from events in Auchtergaven.The data for Edinburgh and its subparishes shows that, as in Auchtergaven, by the end ofthe study period there was an increase in the tenant or owner-occupying class and a decrease in subtenantry numbers. But exact figures for the latter are clouded by the awareness in our Scottish comparisons of an issue equally pressing in England. This being those excluded from sources utilised hitherto for population studies, primarily because they did not possess the right to reside in the location surveyed.Also in Europe, the right to inclusion and welfare depended upon the right to settle. There was resistance to accepting migrants, whether competent journeymen or objects ofpity, they were often labelled as transients or vagrants. These folk could not have been quantified by back-projecting from nineteenth century census figures. Like the poor they, the unrecorded among the ordinary folk, are always with us