A New Two-Parameter Family of Potentials with a Tunable Ground State

In a previous paper we solved a countably infinite family of one-dimensional Schr\"odinger equations by showing that they were supersymmetric partner potentials of the standard quantum harmonic oscillator. In this work we extend these results to find the complete set of real partner potentials of the harmonic oscillator, showing that these depend upon two continuous parameters. Their spectra are identical to that of the harmonic oscillator, except that the ground state energy becomes a tunable parameter. We finally use these potentials to analyse the physical problem of Bose-Einstein condensation in an atomic gas trapped in a dimple potential.Comment: 15 pages, 5 figure

Concealing Legislative Reform in the Common-Law Tradition: The Advancements Doctrine and the Uniform Probate Code

This essay first sets forth the doctrine of advancements and includes a discussion of its suitability for a study of statutory reform and the purpose and origin of the doctrine. The essay then demonstrates how a presumption against finding an advancement that can be rebutted only by a writing showing a contrary intent operates as a practical repeal of advancements. Next, the essay explores the rationales of the drafters of the Uniform Probate Code(UPC) in repealing the advancements doctrine by subterfuge and analyzes the costs of reform by subterfuge. Finally, the essay recommends an alternative approach to reforming the advancements doctrine, which offers some insights into avoiding statutory subterfuge

Inclusion Processes of Cyclodextrins and their Polymers: A Molecular Modeling Study

Cyclodextrins (COs) and cyclodextrin polymers (CDPs) are molecules capable ot creating host/guest complexes, where a host molecule allows another molecule, a guest, to bind to it without either molecule losing its molecular identity. CDs are hydrophilic t,, 11, contain a unique hydrophobic cavity that can attract organic guest molecules. CDP is a derivative of CD and consist of two or more CD units connected by chains of glyceryl linkages (-CHrCHOH-CH2-O-). CDPs are typically more hydrophilic- than the CD monomers making them more useful for applications. However, behavior of the CDP is not as well-cinderstood as that of the monomer. Computer modeling can predict the possible, conformation preferences of CD and CDP when a guest molecule is in the CD cavity. Six CD and CDP complexes are examined through energy minimization calculations using MM2 force field parameters in a water solvent in order to determine the lowest energy structure from various starting conformations. The two starting conformations investigated are clam shell and open binding. Clam shell binding conformation has the guest molecule encapsulated by two CD units. Open binding conformation has the guest molecule complexed with only one CD unit. For CDPs, the role of the glyceryl linkages must also be considered

The cluster approach to humanitarian response: lessons from the Pakistan earthquake

The responsibility of the United Nations Children’s Fund relative to water and sanitation in humanitarian responces worldwide began with an over all responsibility for non-food assistance. It was transformend to sector leadership in the 1990s and now has become cluster manager. This new cluster approach has much potential to improve the international communities ability to respond to an emergancy but many challenges remain. Effective global leadership by UNICEF is essentialto to the realization of this potential but ultimate success depends on the effective engagment of the broader Humanitarian community on the ground

Forty Years of Codification of Estates and Trusts Law: Lessons for the Next Generation

In this paper we develop two theses. First, we argue that uniform law proposals that ask courts and practitioners to abandon revered legal traditions and ways of thinking about estates and trusts, even when they are intent-furthering proposals, face resistance until in time the glories of the past and the risks of a new legal regime fade in importance in legal thought. Second, we argue that, especially within an environment in which states seek to gain competitive advantage over their counterparts in other states, the glories of the past and the risks of a new legal regime fade fastest when a uniform law proposal limits the effect of intent-defeating rules. Uniform laws tend to fall into three categories: (1) statutes that usurp older statutory-based laws; (2) statutes, typically remedial in nature, that reverse the common law; and (3) statutes that predominantly codify the common law. We look at examples of each to show how the interplay between revered legal traditions and donative freedom affects the reception of uniform law proposals. We also pay particular attention to intent-defeating common law doctrines and the risks that uniform law drafters face when they attempt to codify them in an environment where there is stiff jurisdictional competition for estate planning business

Completeness Results for Parameterized Space Classes

The parameterized complexity of a problem is considered "settled" once it has been shown to lie in FPT or to be complete for a class in the W-hierarchy or a similar parameterized hierarchy. Several natural parameterized problems have, however, resisted such a classification. At least in some cases, the reason is that upper and lower bounds for their parameterized space complexity have recently been obtained that rule out completeness results for parameterized time classes. In this paper, we make progress in this direction by proving that the associative generability problem and the longest common subsequence problem are complete for parameterized space classes. These classes are defined in terms of different forms of bounded nondeterminism and in terms of simultaneous time--space bounds. As a technical tool we introduce a "union operation" that translates between problems complete for classical complexity classes and for W-classes.Comment: IPEC 201

Cell division in apicomplexan parasites is organized by a homolog of the striated rootlet fiber of algal flagella

Apicomplexa are intracellular parasites that cause important human diseases including malaria and toxoplasmosis. During host cell infection new parasites are formed through a budding process that parcels out nuclei and organelles into multiple daughters. Budding is remarkably flexible in output and can produce two to thousands of progeny cells. How genomes and daughters are counted and coordinated is unknown. Apicomplexa evolved from single celled flagellated algae, but with the exception of the gametes, lack flagella. Here we demonstrate that a structure that in the algal ancestor served as the rootlet of the flagellar basal bodies is required for parasite cell division. Parasite striated fiber assemblins (SFA) polymerize into a dynamic fiber that emerges from the centrosomes immediately after their duplication. The fiber grows in a polarized fashion and daughter cells form at its distal tip. As the daughter cell is further elaborated it remains physically tethered at its apical end, the conoid and polar ring. Genetic experiments in Toxoplasma gondii demonstrate two essential components of the fiber, TgSFA2 and 3. In the absence of either of these proteins cytokinesis is blocked at its earliest point, the initiation of the daughter microtubule organizing center (MTOC). Mitosis remains unimpeded and mutant cells accumulate numerous nuclei but fail to form daughter cells. The SFA fiber provides a robust spatial and temporal organizer of parasite cell division, a process that appears hard-wired to the centrosome by multiple tethers. Our findings have broader evolutionary implications. We propose that Apicomplexa abandoned flagella for most stages yet retained the organizing principle of the flagellar MTOC. Instead of ensuring appropriate numbers of flagella, the system now positions the apical invasion complexes. This suggests that elements of the invasion apparatus may be derived from flagella or flagellum associated structures

Public-Interest Benefit Evaluation of Partial- Upgrading Technology

Approximately 60 per cent of Alberta’s oil sands production is non-upgraded bitumen which, after being mixed with a diluting agent (diluent) to allow transport, is exported. A popular view within Alberta — and particularly among Albertan politicians — is that a much larger share of oil sands bitumen should be upgraded in the province. However, without public subsidies or government underwriting, it is uneconomic to build and operate new facilities in Alberta to fully upgrade the bitumen into synthetic crude oil. But there are new partial upgrading technologies being developed that, subject to successful testing at a larger (commercial) pilot scale, can prove to be not only economic in Alberta, but also generate large social and economic benefits for the province. The advantages include a much smaller capital investment, a significant increase in the value of the product and market for the product and, even more importantly, a dramatic reduction in the need for large amounts of expensive diluent to transport the product to market. Indeed, the only diluent required will be that to move the bitumen from the production site to the partial upgrader and this can be continually recycled. The market for the synthetic crude oil produced by full upgrading is only getting tougher. Any Alberta bitumen fully upgraded here would compete closely with the rapidly expanding supply of light U.S. unconventional oil. Partial upgrading does not upgrade bitumen to a light crude, but to something resembling more of a medium or heavy crude, and at a lower cost per barrel than full upgrading. Unlike in the increasingly crowded light-crude market, the Alberta Royalty Review Advisory Panel recognized that currently there are gaps in several North American refineries that could be filled by this partially upgraded Alberta oil. A partial upgrader serving that less-competitive market not only appears to hold the potential for investors to make attractive returns in the long term, it would also provide important benefits to Alberta from a social perspective. Since partially upgraded crude can be shipped via pipeline without diluent (as bitumen requires), producing it in Alberta would free up pipeline capacity otherwise tied up by current volumes of diluted bitumen or dilbit (diluent typically represents about one-third of each barrel of dilbit). It also reduces the cost to shippers of paying tolls for diluent exported in the dilbit and recovering diluent at the U.S. pipeline terminal, where it is less valuable than if it were recovered in Alberta at the partial upgrader. The value of each barrel produced would also be higher, benefitting oil sands producers. Partial upgrading also seems to promise a lower emissions-intensity profile compared to other bitumen-processing technologies. Based on the model of a single 100,000-barrel-a-day partial upgrader, the value uplift could be $10 to$15 per bitumen barrel. Meanwhile, there could be an average annual increase to Alberta’s GDP of $505 million, and as many as 179,000 person-years of employment created (assuming a 40.5-year operating period). The increase in taxable earnings would increase provincial revenues by an average of$60 million a year, not including additional federal tax revenues. If successful, there would be many such partial upgraders with corresponding multiplication of these benefits. But there remains the critical task of proving partial upgrading technology at a higher scale than current testing. This might also depend on the province helping sustain investors through the “death-valley” between successful research and initial testing and demonstration of full commercial viability. The province has stepped into help technologies cross that “death valley” before. The promise of partial upgrading may well justify, as manager and steward of Alberta’s resources, helping bridge that valley again