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We present numerical results from solving the time-dependent nonlinear Schrdinger equation (NLSE) that describes an inhomogeneous, weakly interacting Bose-Einstein condensate in a small harmonic trap potential at zero temperature. With this method we are able to find solutions for the NLSE for ground state condensate wave functions in one dimension or in three dimensions with spherical symmetry. These solutions corroborate previous ground state results obtained from the solution of the time-independent NLSE. Furthrmore, we can examine the time evolution of the macroscopic wave function even when the trap potential is changed on a time scale comparable to that of the condensate dynamics, a situation that can be easily achieved in magneto-optical traps. We show that there are stable solutions for atomic species with both positive and negative s-wave scattering lengths in one-dimensional (1D) and 3D systems for a fixed number of atoms. In both the 1D and 3D cases, these negative scattering length solutions have solitonlike properties. In 3D, however, these solutions are only stable for a modest range of nonlinearities. We analyze the prospects for diagnosing Bose-Einstein condensation in a trap using several experiments that exploit the time-dependent behavior of the condensate.
A wide class of solutions, endowed with stationary and axial symmetries, of the Einstein-Maxwell-dilaton-axion equations are explicitly given. The chosen coordinate system is such that the structural functions are expressible as a ratio of polynomials of, at most, second degree. It is equipped with six continuous free parameters and two discrete constants. In particular, it contains the generalized Sen black hole with mass, Newman-Unti-Tamburino parameter, charge, angular momentum, dilaton and axion limiting parameters, and related magnetic, dilaton, and axion charges.
Periodic solutions arise by Hopf bifurcation from either steady-state branch of the SW model. A purely periodic solution is studied in detail. The subtropical and subpolar recirculations, separation, and eastward jet exhibit a perfectly periodic oscillation with a period of about 2.8 years. Outside the recirculation zones, the solutions are nearly steady. The alternating anomalies of the upper-layer thickness are periodically generated adjacent to the ridge of the first and strongest downstream meander and are then propagated and advected into the two WBC zones, by Rossby waves and the recirculating currents, respectively. These anomalies periodically change the pressure gradient field near the WBCs and maintain the periodic oscillation. Aperiodic solutions are also studied by either increasing wind forcing or decreasing the viscosity.
Describes procedures for preparing reference solutions, procedures for ensuring the quality and the degree of accuracy of the solution strength. Working document for analytical chemists; the underlying statistical theorie is not presented in order to simplify application.
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First, note $\frac11995>\frac1x$ and so $x>1995$ and, likewise, $y>1995$. Next, we have:$$1995(x+y)=xy\quad\implies\quad (x-1995)(y-1995)=1995^2=3^25^27^219^2.$$Write $x-1995$ as $3^i 5^j 7^k 19^l$. Then, each quadruple $(i,j,k,l)$ uniquely pins down $x$ and $y$. There are 3 options each for $i,j,k,l$ (i.e. $\0,1,2\$), so there are $3^4=81$ solutions in total. Your book appears to be in error.
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THE construction of synthetic molecules that fold or assemble predictably into large, well defined structures represents a fertile area of chemistry. Many supramolecular systems have been reported that self-assemble as a result of non-covalent interactions1-7; and the control of higher-order protein structure by de novo design has also been demonstrated8,9. Protein secondary structural motifs have also been stabilized by incorporating artificial groups that impose constraints on the folded architecture10-12. Here we describe the synthesis of molecules that will fold in water into a pleated structure, as a result of interactions between alternating electron-rich donor groups and electron-deficient acceptor groups. We verify the pleated structure using absorption and NMR spec-troscopy. Donor-acceptor interactions have been used previously to engineer specific supramolecular geometries2,13, and are energetically favourable in organic as well as in aqueous solutions. But whereas previously such interactions have been used to effect self-assembly of distinct molecules, our results show that they can also determine the secondary structure of complex synthetic molecules in solution.
As part of the celebration of its 30th anniversary, the Outsider Art Fair is excited to present Field Trip: Psychedelic Solution, 1986-1995, a special exhibition for its Curated Spaces during the 2022 edition. Featuring work championed by the legendary underground Greenwich Village gallery, Psychedelic Solution, and its founder, Jacaeber Kastor, the exhibition will be curated by renowned contemporary artist Fred Tomaselli.
Many of these artists are instantly recognizable for their creative contributions to the populist forms of album cover art, underground comics and poster art, but their persistent neglect and omission from institutional art history goes to show how unorthodox and revolutionary their aesthetic terms remain to this day, and suggest, as curator Fred Tomaselli puts it, that the art world rewards the formalist precepts of the minimal over the messy and at times uncomfortable expressions of the maximal. Drawing on nearly seventy years of radical creativity, this special exhibition for the Outsider Art Fair seeks to extricate these important figures from the nostalgia of their pop culture frame and set their work in a broader historical continuum that, considering recent evidence in prehistoric cave paintings of psychoactive mushrooms and the visual distortions associated with psychedelics, is as old as human consciousness itself, and still vital in contemporary art.
Fred Tomaselli (b.1956) is an American artist born in Santa Monica, CA, now living in New York City. His work has been the subject of numerous solo exhibitions in galleries and museums including the Joslyn Art Museum, (Omaha, 2018), the Toledo Museum of Art (2016), the Brooklyn Museum (2010), the Albright-Knox Gallery of Art, Buffalo (2003) and the Whitney Museum of American Art (1999). His art is in the public collections of the Museum of Modern Art; the Whitney Museum of American Art; the Metropolitan Museum of Art; the Brooklyn Museum; the Albright Knox Art Gallery; the Hirshhorn Museum and Sculpture Garden; the San Diego Museum of Contemporary Art; the San Francisco Museum of Modern Art; the Los Angeles County Museum of Art; the Museum of Contemporary Art, Los Angeles, and many others. He is represented by James Cohan Gallery, New York.
Following a five year engagement by the United Nations Institute for Training and Research (UNITAR) to conduct applied research and geospatial analysis on piracy activities, this report constitutes the first global geospatial analysis on the issue. What started with identifying captured ships delivering humanitarian assistance and other goods using satellite imagery later expanded to regional geospatial analyses for the western Indian Ocean. The current report assesses piracy at the global level. This research includes detailed geo-spatial analyses, while relating findings to complementary factors, including references to specific examples illustrating the complexity of the piracy issue. The report also covers the financial aspects of global piracy, as well as anti-piracy activities and future outlooks in a changing meteorological climate.
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