131 research outputs found

    Reformation Instability in Elastic Solids

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    The reformation of a body fundamentally involves the mapping of one natural reference configuration of it into another natural reference configuration. The mass and the constitutive properties of the material remain unaltered, but the overall shape of the reference configuration generally changes. If, when a natural reference configuration is distorted, there is a portion of the boundary of the body that is displacement controlled, then a reformation of the body must be such that the original displacement controlled part of the boundary and its reformation are identical. In common applications that involve reformation, the remainder of the boundary is traction-free and a reformation essentially involves a change of the morphology of this traction-free surface. For example, undulations are often a characteristic feature of the reformation of a free, plane boundary surface. Reformations are a result of a material instability and they may associate with a chemically induced diffusive processes in which particles of the body move into preferred places. Fundamentally, a reformation is generated in response to the drive to lower the total stored energy of the body. In this work we are not concerned with the physical processes that take place during reformation, but rather we are concerned with characterizing the onset of the instability. We develop a variational characterization of the reformation instability for a nonlinear elastic body and we include the effect of surface energy. As an example, we consider the axial deformation of a circular cylinder and argue that small scale nano-wires, for which the diameter-to-length ratio is sufficiently small, are expected to be stable with respect to spatial variations when extended. Moreover, we observe that if the surfacial energy function is sufficiently convex at the undistorted state such wires may also be stable with respect to spatial variations when compressed. We then show that such small scale nano-wires are unstable with respect to reformation when either extended or compressed. © 2011 Springer Science+Business Media B.V

    An analysis of the effect of contrasting theologies of preaching on the teaching of preaching in British institutions of higher learning

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    This study examines the efforts of British universities and colleges to educate students for the ministry of preaching. It evaluates the hypothesis that a preaching lecturer's theology significantly influences his teaching, both in its content and methodology. A summary and comparison of seven twentieth century theologies of preaching serves as the foundation for this study. The research considered each theology as presented by either its originator or a leading exponent: Harry Emerson Fosdick, Rudolf Bultmann, Karl Barth, Paul Tillich, D. Martyn Lloyd-Jones, James Stewart, and Karl Rahner. Surveys completed by fifty-five lecturers in preaching provided the second primary focus of research. These surveys both described current practices in homiletical education and offered a means of dividina the lecturers into subgroups for purposes of comparing their teaching. In order to evaluate the primary hypothesis that theology exerts great influence on the teaching of preaching, the study compares the teaching practices of theological subgroupings of lecturers (each grouping matched with one of the theologians mentioned above). Likewise, it compares the teaching of other lecturer subaroupings formed on the basis of contrasting institutional and denominational settings. Institutional and denominational setting does affect the teaching of preaching, but, as hypothesized, not to the degree theology does. The manner in which a lecturer's theology determines his teaching is most noticeable in relation to three questions relating to teaching content: (1) From what source(s) should preachers seek preaching content? (2) On what basis should preachers select content from their source(s)? (3) Once the content has been determined, by what criteria should preachers prepare material for delivery? A comparison of contemporary preaching theologies (and the resultant contrasts in homiletical education) bespeak the rich breadth within the Western Christian tradition

    Letter, S. L. Gardiner to S. Fosdick, Esq., 1840 December 18: Sag Harbor, N.Y.

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    3 unnumbered pages; 21 x 25 cm. Transcript: Sag Harbor Dec 18th 1840. S. Fosdick Esq. Dr Sir, I ask leave to solicit your favor in the procurement of the appointment of Collector of this Port. I do this without consultation with any friend or acquain-tance, for my residence here has been too short to expect the countenance of strong partisans who look upon an office but as the spoils of victory. Neither can I boast of any great services rendered to Genl. Harrison, nor promise any for the future. But I think that I come within the Jeffersonian rule he has taken to guide him, and am “capable honest and faithful.” Between this time and the 4th of March next you will meet the individuals herein after enumerated either in the street, or in your counting room(?), and can add any recommendation, or use any persuasion you may think proper. I think they all have a persona if not are intimate acquaintance with me, and your own standing in the community will be a quality of my fituep(?), aside from any knowledge of theirs. The great distance at which they live will free them from fears of personal interest or prejudice; and their personal and with many, intimate acquaintances with Gnl. Harrison will give weight to their recommendation. It will cost you but a word to each, and I hope diffidence or distrust of success will not deter you. If you try, I am sure I shall succeed, and in a matter of this kind more can be asked for a friend than for ones self. To offer you any promise of reward were to insult you, and I rely entirely on your friendship. It may interfere with your business, but not more than a moment at a time. I can obtain the cooperation of Senator Caelurum(?) I think, and the names of many influential men here. The office is worth about $800 per year. Others will perhaps apply, but I am as well qualified as they, as good a Republican as any, and need the office more. Partizan services are no merit, and I place my application solely upon the rule before even timed fidelity. Capacity and integrity. Mr. Chase I am confident will aid me in this matter, if you think it best consult him. If you are unwilling to do any thing about it, please put this letter in the fire, and keep the secret. If we suc -ceed Col Pendelton I think will make the application. S. Fosdick Daniel Wade S.P. Chase Jno C. Vaughan Jon P. Garip(?) Wm. Greene Ambrose Dudley Wm. R. Foster O.C. Spenser R.H. Southgate Henry C. Spenser I.C. Wright Jas Southgate W.D. Gallagher Wm. Southgate R. Hodges Richard Southgate A.N. Riddee Jas Taylor Daniel Gaus Edward Woodruff Wm. H.H. Taylor I.J. Strait Geo J. Williamson Wm. Johnson V. Nottington G.W. Thomas B. StinerJ. T. Conner C. Fox A. Wright D.K. Este I could mention the names of many other but they would be those of younger men, who are not of much notoriety or influence. I omit others of equal influence with those mentioned for you to select. A heading after this fashion will I think answer. “We the undersigned believing Samuel L Gar -diner late a resident of the city of Cincinnati to be a good and true Republican and having full faith and confidence in his integrity capac -ity and friendship do recommend him as a fit and proper person to be appointed to the office of Col -lector of the Customs of the Port of Sag Harbor in the State of N York where he now resides.” This is the first communication to you since my return to the East. and it depends upon you whether it is the last. I am declared from the signed and society, until next spring, when I may return forth to Wash -ington. Your business and other calls when your time require so much of your attention that any correspondence of a friendly character would be fulfilled and laborious I fear, with me. In the list of names I have given, I have omitted two, which if offered you may accept, but I do not wish you to ask. You will not misunderstand me. All here are well. Please give my highest respects to your sister, and to your wife. My best love to your children. If you are so fortunate as to know Mr. Must, please remember me to him and add my most fervent wishes for his success. I find that I have omitted your brother, wife + children, whom for me you will please not forget. I hope I may one day visit Cincinnati again, and renew many pleasant acquaintances I formed while there; Winter has commenced in earnest, and for these months. I shall call my -self a man of leisure. After that time I shall be busily employ -ed I hope. Please write me at your earliest convenience. Yrs Resp. S.L. GardinerThis letter was written at Sag Harbor, N.Y. by Samuel L’Hommedieu Gardiner to his friend S. Fosdick of Cincinnati, requesting his support in securing the appointment of Collector of Customs Officer for the port of Sag Harbor. Born August 10, 1816 in Sag Harbor, N.Y., Samuel L’Hommedieu Gardiner was a member of the Yale University Class of 1835. After being admitted to the New York bar in 1839, he moved to Cincinnati where he worked in the law office of Charles Hammond for eighteen months before returning home in 1840. In 1852 he was appointed collector of customs, a position he held until 1857. Samuel L. Gardiner died in 1885.Archived web contentAcquisition made possible by the Dorothy J. and Ronald W. Siegel Rare Book Fund

    Roger L. Fosdick

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    A Second Report on the Experiments with Programs for the Simulation of Large Scale Automata on a Digital Computer

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    Made available in DSpace on 2015-04-06T20:44:34Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) B1-67.pdf: 52337193 bytes, checksum: 9072037d9cf9e6eeccba678fc91c2bf3 (MD5) Previous issue date: 1955-09Made available in DSpace on 2017-07-14T22:54:37Z (GMT). No. of bitstreams: 3 B1-67.pdf.txt: 67552 bytes, checksum: bb28b1c19951120eed11db3ff66e258f (MD5) B1-67.pdf: 24688094 bytes, checksum: 2630877e3bf14c42180858425622c2f5 (MD5) license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) Previous issue date: 1955-09Contract DA-36-039-SC-56695Control Systems Laboratory changed its name to Coordinated Science Laborator

    Revised timing of cenozoic atlantic incursions and changing hinterland sediment sources during southern patagonian orogenesis

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    New detrital zircon U-Pb geochronology data from the Cenozoic Magallanes-Austral Basin in Argentina and Chile ~51° S establish a revised chronostratigraphy of Paleocene-Miocene foreland synorogenic strata and document the rise and subsequent isolation of hinterland sources in the Patagonian Andes from the continental margin. The upsection loss of zircons derived from the hinterland Paleozoic and Late Jurassic sources between ca. 60 and 44Ma documents a major shift in sediment routing due to Paleogene orogenesis in the greater Patagonian-Fuegian Andes. Changes in the proportion of grains from hinterland thrust sheets, comprised of Jurassic volcanics and Paleozoic metasedimentary rocks, provide a trackable signal of long-term shifts in orogenic drainage divide and topographic isolation due to widening of the retroarc fold-thrust belt. The youngest detrital zircon U-Pb ages confirm timing of Maastrichtian-Eocene strata but require substantial age revisions for part of the overlying Cenozoic basinfill during the late Eocene and Oligocene. The upper Río Turbio Formation, previously mapped as middle to late Eocene in the published literature, records a newly recognized latest Eocene-Oligocene (37-27Ma) marine incursion along the basin margin. We suggest that these deposits could be genetically linked to the distally placed units along the Atlantic coast, including the El Huemul Formation and the younger San Julián Formation, via an eastward deepening within the foreland basin system that culminated in a basin-wide Oligocene marine incursion in the Southern Andes. The overlying Río Guillermo Formation records onset of tectonically generated coarse-grained detritus ca. 24.3Ma and a transition to the first fully nonmarine conditions on the proximal Patagonian platform since Late Cretaceous time, perhaps signaling a Cordilleran-scale upper plate response to increased plate convergence and tectonic plate reorganization.Fil: Fosdick, Julie C.. University of Connecticut; Estados UnidosFil: VanderLeest, R. A.. University of Connecticut; Estados UnidosFil: Bostelmann, J. E.. Universidad de Chile; ChileFil: Leonard, J. S.. Arizona State University; Estados UnidosFil: Ugalde, R.. Universidad Mayor; ChileFil: Oyarzún, J. L.. Parque Geo-paleontológico la Cumbre-baguales; ChileFil: Griffin, Miguel. Universidad Nacional de La Plata. Facultad de Ciencias Naturales y Museo. División Paleozoología Invertebrados; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentin

    Denver, Colorado 1859 1970

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    Facsimile ; Oriented with north toward the lower right ; "Reproduced ... from an original lithograph in the collection of the State Historical Society of Colorado."Grayscal

    Alternative methods for representing the inverse of linear programming basis matrices

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    Methods for representing the inverse of Linear Programming (LP) basis matrices are closely related to techniques for solving a system of sparse unsymmetric linear equations by direct methods. It is now well accepted that for these problems the static process of reordering the matrix in the lower block triangular (LBT) form constitutes the initial step. We introduce a combined static and dynamic factorisation of a basis matrix and derive its inverse which we call the partial elimination form of the inverse (PEFI). This factorization takes advantage of the LBT structure and produces a sparser representation of the inverse than the elimination form of the inverse (EFI). In this we make use of the original columns (of the constraint matrix) which are in the basis. To represent the factored inverse it is, however, necessary to introduce special data structures which are used in the forward and the backward transformations (the two major algorithmic steps) of the simplex method. These correspond to solving a system of equations and solving a system of equations with the transposed matrix respectively. In this paper we compare the nonzero build up of PEFI with that of EFI. We have also investigated alternative methods for updating the basis inverse in the PEFI representation. The results of our experimental investigation are presented in this pape
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