(b) Give a general real solution of the homogeneous equation Ly = 0. Solution. A general solution is y = c1e −2t cos(3t) + c2e −2t sin(3t) + c3 cos(7t) + c4 sin(7t) + c5t cos(7t) + c6t sin(7t) + c7e 5t + c8t e 5t + c9t e + c10e −3t + c11 + c12t . The reasoning is as follows: • the single conjugate pair −2± i3 yields e cos(3t) and e sin(3t); • the double conjugate pair ±i7 yields cos(7t) , sin(7...

I. PROBLEM FORMULATION The Furuta pendulum consists of an arm rotating in the horizontal plane and a pendulum attached to the end of the arm moving freely in the vertical plane, see Fig. 1. The equations of motion of the Furuta pendulum, derived from the standard Euler-Lagrange dynamics, are1 (α + β sin θ)φ̈ + γ cos θθ̈ + 2βθ̇φ̇ sin θ cos θ − γθ̇ sin θ = τφ, γ cos θφ̈ + βθ̈ − βφ̇ sin θ cos θ − δ sin θ ...

3-Morpholinosydnonimine (SIN-1) is used as a donor of peroxynitrite (ONOO(-)) in various studies. We demonstrated, however, that, the cell-culture medium remains cytotoxic to PC12 cells even after almost complete SIN-1 decomposition, suggesting that reaction product(s) in the medium, rather than ONOO(-), exert cytotoxic effects. Here, we clarified that significant cytotoxicity persists after SI...

This paper is an attempt to distinguish and discuss the Iranian (as distinct from the Turkish, Arabic and Islamic) elements in the present pattern of kinship and marriage practice in Persia in their historical context. This will entail also a discussion of what can be known of the pre-Islamic Iranian system. Disciplines Anthropology | Social and Behavioral Sciences This journal article is avail...

Conducting research in the acutely ill and injured is important to broaden the scientific foundation of nursing practice for the specialty. Given the nature of acute illness, challenges to the collection of self-report data are numerous, but they are not insurmountable. Attending to these challenges and planning for strategies to enhance the accuracy of data are important tasks for any investig...

Scientific investigation of mechanisms that determine lifespan can be divided into three general approaches. The first approach (the comparative method) began over a century ago comparing species differing greatly in maximum longevity and implicated a role for the speed of metabolism in determining the length of life [1]. The second approach commenced after the 1930s investigated the mechanisms...

The continuous repetition of Christian de Duve’s primary thesis in Genetics of Original Sin ensures that however little the reader understands or is interested in biology, he will have no doubt as to the author’s primary concern: Natural selection has made humans poor prognosticators. As evolutionary adaptation is all about living (and reproducing) in the moment, humans have evolved some unfort...