131 research outputs found
Reformation Instability in Elastic Solids
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
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.
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
A Second Report on the Experiments with Programs for the Simulation of Large Scale Automata on a Digital Computer
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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
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
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
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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