3,427 research outputs found

    The Meaning and Malleableness of Liberty from 1897-1945

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    This paper covers how the substance and meaning of liberty changed during the ending years of the Gilded Age (1870-1900) through the beginning ages of the Civil Rights Movement (1954-1968). Economic liberty took shape in the cases Allegeyer v. Louisiana (1897) and Lochner v. New York (1905). Civil liberties would take several more years to come into the Supreme Court’s jurisdiction. The case Gitlow v. New York (1925) began the establishment of incorporation of the Bill of Rights to the states, otherwise known as our fundamental liberties (note: The Supreme Court used selective incorporation, however). In the case U.S. v. Carolene Products (1938), the court stated that it would impose higher scrutiny to laws that violated the Bill of Rights. This paper attempts to rationalize that legal realism and sociological jurisprudence, both established by Roscoe Pound, changed the way we view liberty in the modern day. In a span of just under 50 years, the court retreated from substantive Due Process of economic liberty to substantive Due Process of civil liberty and human rights. Rulings such as Korematsu v. U.S. (1945), which established strict scrutiny, were the stepping stones of the growing Civil Rights Movement that would take the nation by storm from the mid-1950s until the end of the 1960s. Lastly, this paper argues that, while it may not be publicly known to all, Supreme Court decisions shape the way our laws are created, and thus, how our democratic society functions as a whole. We must not take our liberty for granted

    Dormancy in the Seed of Western Wheatgrass (Agropyron smithii, Rydb.)

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    As is the case with many of the native grass species, western wheatgrass can at times possess a high amount of seed dormancy. This dormancy makes the determination of pure live seed difficult. Consequently, laboratory methods have been sought to completely break this dormancy in order to obtain a true determination of seed viability. Such methods as embryo excision, lemma and plea removal, caryopsis clipping, alternating temperatures, and others have been used with varying success. The method now employed by the South Dakota State Seed Laboratory to determine the viability of ungerminated grass seeds is the tetrazolium test. After the 28-day germination period, the ungerminated seeds are bisected longitudinally and placed in 1.0% tetrazolium solution for four hours. At the end of that period the seeds which have red or pink embryos are considered dormant seeds. The rest are considered dead. The purpose of this study was to attempt to determine the possible cause of the induction of dormancy in western wheatgrass seeds and assess the effects of alternate seed treatment methods on the breaking of this dormancy

    An analysis of mixed integer linear sets based on lattice point free convex sets

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    Split cuts are cutting planes for mixed integer programs whose validity is derived from maximal lattice point free polyhedra of the form S:={x:π0πTxπ0+1}S:=\{x : \pi_0 \leq \pi^T x \leq \pi_0+1 \} called split sets. The set obtained by adding all split cuts is called the split closure, and the split closure is known to be a polyhedron. A split set SS has max-facet-width equal to one in the sense that max{πTx:xS}min{πTx:xS}1\max\{\pi^T x : x \in S \}-\min\{\pi^T x : x \in S \} \leq 1. In this paper we consider using general lattice point free rational polyhedra to derive valid cuts for mixed integer linear sets. We say that lattice point free polyhedra with max-facet-width equal to ww have width size ww. A split cut of width size ww is then a valid inequality whose validity follows from a lattice point free rational polyhedron of width size ww. The ww-th split closure is the set obtained by adding all valid inequalities of width size at most ww. Our main result is a sufficient condition for the addition of a family of rational inequalities to result in a polyhedral relaxation. We then show that a corollary is that the ww-th split closure is a polyhedron. Given this result, a natural question is which width size ww^* is required to design a finite cutting plane proof for the validity of an inequality. Specifically, for this value ww^*, a finite cutting plane proof exists that uses lattice point free rational polyhedra of width size at most ww^*, but no finite cutting plane proof that only uses lattice point free rational polyhedra of width size smaller than ww^*. We characterize ww^* based on the faces of the linear relaxation

    Ten Simple Rules for a Successful Collaboration

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