Extracting Ramachandran torsional angle distributions from 2D NMR data using Tikhonov regularization /

Solid state nuclear magnetic resonance (NMR) spectroscopy is a powerful technique for studying structural and dynamical properties of disordered and partially ordered materials, such as glasses, polymers, liquid crystals, and biological materials. In particular, twodimensional( 2D) NMR methods such as ^^C-^^C correlation spectroscopy under the magicangle- spinning (MAS) conditions have been used to measure structural constraints on the secondary structure of proteins and polypeptides. Amyloid fibrils implicated in a broad class of diseases such as Alzheimer's are known to contain a particular repeating structural motif, called a /5-sheet. However, the details of such structures are poorly understood, primarily because the structural constraints extracted from the 2D NMR data in the form of the so-called Ramachandran (backbone torsion) angle distributions, g{^,'4)), are strongly model-dependent. Inverse theory methods are used to extract Ramachandran angle distributions from a set of 2D MAS and constant-time double-quantum-filtered dipolar recoupling (CTDQFD) data. This is a vastly underdetermined problem, and the stability of the inverse mapping is problematic. Tikhonov regularization is a well-known method of improving the stability of the inverse; in this work it is extended to use a new regularization functional based on the Laplacian rather than on the norm of the function itself. In this way, one makes use of the inherently two-dimensional nature of the underlying Ramachandran maps. In addition, a modification of the existing numerical procedure is performed, as appropriate for an underdetermined inverse problem. Stability of the algorithm with respect to the signal-to-noise (S/N) ratio is examined using a simulated data set. The results show excellent convergence to the true angle distribution function g{(j),ii) for the S/N ratio above 100.

A tour from the City of New-York, to Detroit, in the Michigan Territory, made between the 2d of May and the 22d of September, 1818 : the tour extends from New-York, by Albany, Schenectady, and Utica to Sacket's Harbor, and thence throught Lake Ontario, to St. Lawrence river, and down that stream to Hamilton village. Thence along both banks of the St. Lawrence, from Hamilton to the Thousand Islands; thence to Sacket's Harbor by water; from that place by the route of great Sodus, Geneva, Cananaigua and Batavia, to Buffalo; and from thence to Black Rock, Fort Erie, the Falls of Niagara, Queenston, Lewiston, and the memorable fields of Bridgewater and Chippewa after viewing the interesting place of Niagara, the author traversed the south shore of Lake Erie to the City of Detroit, and visited in the latter range, Dunkirk, Erie, Cleveland, Sandusky, and other places of less note. The tour is accompanied with a map upon which the route will be designated; a particular map of the Falls andRiver of Niagara, and the environs of the City of Detroit /

Errata slip inserted.

Snack bar inside the old Student Union, Chapman College, Orange, California

Snack bar inside the old Student Union, Chapman College, Orange, California in the 1970s. Originally the manual arts building and bus repair garage for Orange Union High School. Building annex additions through 1975 increased the size to 19,680 sq. ft. Used as a student union by Chapman College. In 1996 the building became the Cecil B. DeMille Hall, housing the Film and TV department.

Sloppy Joe's Bar, Season 1933

A drink manual for the establishment Sloppy Joe's Bar in Havana, Cuba. The manual is pocket size and contains 40 pages of drink recipes. The first few pages describe the bar in Havana, Cuba along with a brief biography of Jose Abeal (Sloppy Joe).

Metal Bar - P. C. Band, Toronto, Ontario

Metal bar, 2 cm x 6 1/2 cm, with the words "P.C. Band, Toronto, Ontario" engraved on it.

Diploma (vellum) from the Bar of Lower Canada to Edward Bradley Parkin of Quebec

Diploma (vellum) from the Bar of Lower Canada to Edward Bradley Parkin of Quebec conferring upon him the right of practicing as an Advocate, Barrister, Attorney, Solicitor and Proctor-at-Law in all courts in Lower Canada, June 4, 1866.

Parte oficial del señor general en gefe de las fuerzas de Yucatán sobre las operaciones militares a que dió lugar la expedición mejicana destinada a la costa de Bar Lovento del estado

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La traduction du nouveau Code civil néerlandais en anglais et en français

La traduction du nouveau Code civil néerlandais en anglais et en français représentait un grand défi en raison du caractère systématique et fondateur d’un code, du recours à une terminologie et à une organisation nouvelles et de la longueur des articles. Dans un premier temps, le Code a été traduit selon une terminologie juridique anglaise strictement civiliste, tant en anglais qu’en français, et a été publié sous un format trilingue. Toutefois, sous la pression des praticiens, lesquels recherchaient une traduction correspondant mieux aux attentes de lecteurs anglophones habitués à la terminologie de la common law, une formule a été élaborée pour produire une version anglaise compréhensible pour les deux familles juridiques, au besoin hors de tout contexte et sans recourir à des notes. Une telle formule mérite considération lorsqu’il s’agira de produire d’autres traductions de textes civilistes en anglais.

Le droit civil expliqué, suivant l'ordre des articles du code, depuis et y compris le titre de la vente : Du dépot et du séquestre, et des contrats aléatoires commentaires des titres XI et XII, livre III du code civil

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Le droit civil expliqué suivant l'ordre des articles du code : del'echange et du lovage, commentaire des titres VII et VIII du livre III du code Napoleón

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Droit civil expliqué: Du Contrat de Mariage et des droits respectifs des époux ou commentaire du titre V du livre III du code civil

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Droit civil expliqué : de la prescription ou commentaire du titre XX du livre III du code Napoleón

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Droit civil explique : des privileges et hypotheques, ou commentaire du titre XVIII du livre III du code Napoleón

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