337 research outputs found
Friends of the Library lecture: Larry Gerlach: Alma Richards, Olympian
No full textPoster created in the Marriott Library for a Friends of the Library lecture featuring Larry Gerlach, author of "Alma Richards, Olympian," to be held Sunday, January 29, 2017 at 3:00 PM, in the library\u27s Gould Auditorium
Newton's Method and Generation of a Determinantal Family of Iteration Functions
No full textIt is well-known that Halley’s method can be obtained by applying Newton’s method to the function f/√ f ′ . Gerlach [3], gives a generalization of this approach, and for each m ≥ 2, recursively defines an iteration function Gm(x) having order m. Kalantari et al. [6], and Kalantari [8] derive and characterize a determinantal family of iteration functions, called the Basic Family, Bm(x), m ≥ 2. In this paper we prove, Gm (x) = Bm (x). On the one hand, this implies that Gm(x) enjoys the previously derived properties of Bm(x), i.e., the closed formula, its efficient computation, an expansion formula which gives its precise asymptotic constant, as well as its multipoint versions. On the other hand, this gives a new insight on the Basic Family and Newton’s method.Technical report DCS-TR-37
Reduction of the atomic wavefunction in the Stern-Gerlach magnetic field
Get PDFAbstract. Observation of two separated beam spots at a detection screen downstream of a Stern-Gerlach magnet does not, in fact, demonstrate that the wavefunction of a neutral spin one-half particle has remained in a spin superposition while traveling through that magnetic field. The wavefunction may have been reduced to just one spin-direction eigenfunction, as David Bohm suggested, by immediate momentum and energy transfer with the magnet, rather than by subsequent, which-way determination at the screen. The same two beam spots at the detector screen will result. Einsteinian relativity, and the understanding of Schrödinger evolution applicability through a static potential, forbid continuation of a spin superposition through the Stern-Gerlach field. A calculation for single wavepacket development there conforms to observations from the Stern-Gerlach experiment. And several experiments corroborate immediate reduction to a single spin eigenfunction in the magnetic field. Additionally, Ramsey’s separated, oscillating fields observations, and related experiments, do not rebut this understanding.The accepted manuscript in pdf format is listed with the files at the bottom of this page. The presentation of the authors' names and (or) special characters in the title of the manuscript may differ slightly between what is listed on this page and what is listed in the pdf file of the accepted manuscript; that in the pdf file of the accepted manuscript is what was submitted by the author
Misselling (financial) products: the limits for internal compliance
Get PDFThis paper considers a firm that has to delegate to an agent, such as a mortgage broker or a security dealer, the twin tasks of approaching and advising customers. The main contractual restriction, in particular in light of related research in Inderst and Ottaviani (2007), is that the firm can only compensate the agent through commissions. This standard contracting restriction has the following key implications. First, the firm can only ensure internal compliance to a "standard of sales", in terms of advice for the customer, if this standard is not too high. Second, if this is still feasible, then a higher standard is associated with higher, instead of lower, sales commissions. Third, once the limit for internal compliance is approached, tougher regulation and prosecution of "misselling" have (almost) no effect on the prevailing standard. Besides having practical implications, in particular on how to (re-)regulate the sale of financial products, the novel model, which embeds a problem of advice into a framework with repeated interactions, may also be of separate interest for future work on sales force compensation. JEL Classification: D18 (Consumer Protection), D83 (Search; Learning; Information and Knowledge), M31 (Marketing), M52 (Compensation and Compensation Methods and Their Effects)
"Irresponsible lending" with a better informed lender
Get PDFWe present a simple model of personal finance in which an incumbent lender has an information advantage vis-a-vis both potential competitors and households. In order to extract more consumer surplus, a lender with sufficient market power may engage in "irresponsible"lending, approving credit even if this is knowingly against a household’s best interest. Unless rival lenders are equally well informed, competition may reduce welfare. This holds, in particular, if less informed rivals can free ride on the incumbent’s superior screening ability
Decomposing Magnetic Dark-Field Contrast in Spin Analyzed Talbot-Lau Interferometry: A Stern-Gerlach Experiment without Spatial Beam Splitting
No full textWe have recently shown how a polarized beam in Talbot-Lau interferometric imaging can be used to analyze strong magnetic fields through the spin dependent differential phase effect at field gradients. While in that case an adiabatic spin coupling with the sample field is required, here we investigate a nonadiabatic coupling causing a spatial splitting of the neutron spin states with respect to the external magnetic field. This subsequently leads to no phase contrast signal but a loss of interferometer visibility referred to as dark-field contrast. We demonstrate how the implementation of spin analysis to the Talbot-Lau interferometer setup enables one to recover the differential phase induced to a single spin state. Thus, we show that the dark-field contrast is a measure of the quantum mechanical spin split analogous to the Stern-Gerlach experiment without, however, spatial beam separation. In addition, the spin analyzed dark-field contrast imaging introduced here bears the potential to probe polarization dependent small-angle scattering and thus magnetic microstructures.RID/TS/Technici PoolRID/TS/Instrumenten groe
Application of the Kalman filter to flight path reconstruction from flight test data including estimation of instrumental bias error corrections
No full textAerospace Engineerin
Criteria for low-speed longitudinal handling qualities of transport aircraft with closed-loop flight control systems
No full textAerospace Engineerin
A Numerical Experiment with the Stern-Gerlach Geometry
No full textThe Stern-Gerlach (SG) experiment reported in 1922 was an important milestone in the history of physics. The passing of a collimated neutral beam of silver atoms through a long, strong and asymmetrical magnet caused the atoms of silver out of a horizontal slit to split roughly into two separate beams forming a hollow lip figure (as seen on a plate held normal to the beam) instead of being a filled-in lip figure as suggested by some theoretical calculations. The SG results were thought to indicate that the observed phenomenon can not be explained using classical physics. Following a classical numerical approach by the author using a double-slit geometry, results are given for a 3D numerical SG type experiment showing clearly that a binary beam splitting is possible for certain conditions using an inverse square relation as the only source of forces- thus giving the possibility of a classical interpretation to the problem. For simplicity, we use what is mathematically equivalent- a dipole of charges to represent the magnetic dipole of the atom, and sets of fixed charges or potential surfaces around the path of the beam to represent the poles of a magnet. Although not exactly following the SG setup, the present results, nonetheless, are useful in showing the clear discrete behavior that can be caused by the combination of a fixed boundary, a strong field asymmetry and the highly nonlinear mapping of the inverse square law of forces coupled with the spin direction of a particle
Sphinx Virtuosi and Catalyst Quartet
No full textOctober 31st, 2014
Sphinx Virtuosi, chamber orchestra, and Catalyst Quartet, string quartet, Performing Gabriela Lena Frank: Coquetteos (from Leyendas: An Andean Walkabout); John B Hedges: Raise Hymn, Praise Shout – Xavier Foley, bass solo; Marcus Goddard: Allaqi – Catalyst Quartet; Jessie Montgomery: Banner (2014 premiere) – Catalyst Quartet with the Sphinx Virtuosi.
Photo credit: Catalyst Quartet, 2015https://digitalcommons.rockefeller.edu/tri-institutional-noon-recitals/1197/thumbnail.jp
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