290 research outputs found
Approximating solutions of fredholm integral equations via a general spline maximum entropy method
No full textIn this paper, we describe a general spline maximum entropy method for the approximation of solutions for solving Fredholm integral equations. The general spline maximum entropy method allows to extract piecewise linear, piecewise quadratic, piecewise cubic, piecewise quartic, piecewise quintic and other maximum entropy methods for solving Fredholm integral equations. We present numerical examples of piecewise linear, piecewise quadratic, piecewise cubic, piecewise quartic, piecewise quintic and other piecewise maximum entropy methods for solving Fredholm integral equations of second kind and first kind respectively. A proof of convergence for the piecewise spline maximum entropy method is also presented
A linear spline maximum entropy method for Frobenius-Perron operators of multi-dimensional transformations
No full textA piecewise linear spline maximum entropy optimization method is described for the approximation of fixed densities of the Frobenius-Perron operator associated with higher-dimensional transformations. Convergence in 1-norm is proved and several examples with results are given.NSERC D
Bilateral Patellar Tendon Rupture: Obesity as a Risk Factor
No full textIntroductionBilateral patellar tendon rupture is an uncommon presentation in the Emergency Department but can occur in the setting of certain risk factors. Obesity is an independent predisposing condition in which early identification can expedite diagnosis and treatment.
Case DescriptionWe report a case of bilateral patellar tendon rupture in a young male with obesity as the sole risk factor following a low-energy trauma. The patient ruptured his bilateral patellar tendons while jumping up during a basketball game. The diagnosis was made on exam and confirmed with plain radiographs and Magnetic Resonance Imaging. Because of the bilateral involvement and inability to bear weight, he underwent urgent primary repair and subsequent physical therapy.
DiscussionBilateral tendon rupture is a rare event. Prior case reports have noted risk factors such as medications including corticosteroids and fluoroquinolones. Certain medical conditions can also increase risk of bilateral rupture including diabetes, chronic kidney disease and collagen disorders. Our case is unique in that the patient did not have any of the previously noted risk factors. He did have morbid obesity which may have impacted his tendon integrity
The Mine Injury and Trauma Seminar: A Way to Save Lives
No full textThe author describes his journey to Ecuador for a seminar he was invited to teach for medical personnel working in or around demining sites. Working with the Organization of American States, the author developed a seminar to teach mine-clearance experts what actions to take if someone is injured by a mine, enabling personnel to react to multiple types of stimuli while working in the field. The author explains the details of this seminar and why it is an important part of the mine-action process. He also provides information on Ecuador’s own mine problem
Environmental and Parental Influences on Offspring Health and Growth in Great Tits (Parus major)
No full textPMCID: PMC3728352This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited
"Joining the End to the Beginning" Divine Providence and the Interpretation of Scripture in the Teaching of Irenaeus, Bishop of Lyons
No full textIn this dissertation, the author argues that Irenaeus, Bishop of Lyons in the second century, reads the scriptures as the living proclamation of the Creator by which he creates and forms human flesh and blood. The scriptural narrative originates in God’s creation of all things ex nihilo and traces the movement of humanity toward its eschatological perfection in the incarnate, crucified, and risen Christ. Thus, the author argues that, for Irenaeus, the scriptures are as anthropological as they are theological. The biblical narrative possesses a continuity that is rooted in the substance of the human body. The very body that was created out of the dust in Adam, preserved from the flood in Noah, catechized by the law in Abraham and Moses, and became accustomed to the Spirit in the prophets is assumed by the Son of God from the Virgin Mary, crucified on the tree of the cross, and raised from the grave. The author maintains that Irenaeus views the scriptures as a single narrative describing precisely that flesh and blood given at the eucharistic altar in the fellowship of the church. Irenaeus reads the scriptures, not only in an intimate relationship with the creation of all things in the beginning and their recapitulation in Christ, but also in accord with an ecclesial dimension. The biblical narrative describes the identity of the baptized, who are joined to the body of Jesus through the baptismal and eucharistic life of the church. From this perspective, the author insists that the meaning of the scriptures, for the second century bishop, is not merely rational, moral or mystical, but truly ontological
Introduction to property theory - the fundamental theorems
No full textThe market system consists of a price mechanism, built on the foundation of a system of property, and contract. In many developing, and transition economies, the market system functions poorly. In many cases, if not most, the malfunctioning is not simply in the price system (for example, anti-competitive activities), but in the underlying property system (such as contracts being breached, and externalities in the sense of transfers not covered by contracts). Economic theory tends to take the functioning of the system of property, and contract for granted, and focuses on the operation of the price mechanism. Property theory focuses on the underlying system of property, and contract. In this paper, the author inaugurates the mathematical treatment of property theory.In contrast with earlier work in"law and economics", and the"new institutional economics", this approach uses principles drawn from jurisprudence, and does not attempt to reduce"law"to"economics"in the sense of efficiency considerations, such as the minimization of transaction costs. The main results are the two fundamental theorems of property theory that are analogous to the two fundamental theorems of price theory that, in essence, state that: 1) A competitive equilibrium is Pareto optimal. 2) Given a Pareto optimal state, there exists a set of prices such, that a competitive equilibrium at those prices would realize that Pareto optimal state.Environmental Economics&Policies,Labor Policies,Banks&Banking Reform,Municipal Housing and Land,Economic Theory&Research,Environmental Economics&Policies,Banks&Banking Reform,Economic Theory&Research,Municipal Housing and Land,Land and Real Estate Development
Characterisation of the human renal tight junction barrier and the influence of TGF?1 and cyclosporine A
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