Dennis V. Perepelitsa 19 December 2006 Gerald Jay Sussman, Jack Wisdom Exercise 5.32: Hierarchical Jacobi coordinates (a) Canonical heliocentric coordinates The canonical heliocentric transformation singles out the center of mass of the system. The other coordinates are computed with respect to this coordinate. Specifically, the relationships between the elements of (x′0, . . . , x ′ n−1) and (...

BACKGROUND Respiratory infection has been associated with an increased short-term risk of myocardial infarction (MI). However, previous studies have predominantly been conducted without angiographic confirmation of MI. The possibility can therefore not be excluded that raised troponin levels or electrocardiogram abnormalities that may be seen with respiratory infections are due to non-ischaemic...

RATIONALE The cellular and molecular basis for post-myocardial infarction (MI) structural and functional remodeling is not well understood. OBJECTIVE Our aim was to determine if Ca2+ influx through transient receptor potential canonical (TRPC) channels contributes to post-MI structural and functional remodeling. METHODS AND RESULTS TRPC1/3/4/6 channel mRNA increased after MI in mice and was...

let $g$ be a finite group‎. ‎a subgroup‎ ‎$h$ of $g$ is called an $mathcal h $ -subgroup in‎ ‎$g$ if $n_g (h)cap h^gleq h$ for all $gin‎ ‎g$. a subgroup $h$ of $g$ is called a weakly‎ $mathcal h^ast $-subgroup in $g$ if there exists a‎ ‎subgroup $k$ of $g$ such that $g=hk$ and $hcap‎ ‎k$ is an $mathcal h$-subgroup in $g$. we‎ ‎investigate the structure of the finite group $g$ under the‎ ‎assump...

BACKGROUND Collagen is a major determinant of atherosclerotic plaque stability. Thus, identification of differences in enzymes that regulate collagen integrity could be useful for predicting susceptibility to atherothrombosis or for diagnosing plaque rupture. In this study, we sought to determine whether prolidase, the rate-limiting enzyme of collagen turnover, differs in human subjects with ac...

Supplier selection problem is a multi-criteria decision making problem which includes both qualitative and quantitative factors. In the selection process many criteria may conflict with each other, therefore decision-making process becomes complicated. In this paper, we propose a compensatory fuzzy approach to solve multi-objective linear supplier selection problemwith multiple-item (MLSSP-MI) ...

We give a geometric interpretation of Milnor's invariants ¯ µ(ijk) in terms of triple intersection points of Seifert surfaces for the three link components. This generalizes ideas from Cochran [Co] to links which are not algebraically split. We recall how to compute ¯ µ(ijk) from Milnor [Mi]. Given a link L, its link group π 1 (S 3 − L) has a Wirtinger presentation, generated by the arcs of the...

Objective: To confirm the overall benefit of drug eluting stents (DES), to evaluate the effect of different DES, and to assess the global safety of DES compared with bare stents through a meta-analysis of randomised controlled trials. Methods: Randomised controlled trials comparing sirolimus and derivates or paclitaxel and derivates eluting stents versus bare stents. Binary restenosis and major...

OBJECTIVE To confirm the overall benefit of drug eluting stents (DES), to evaluate the effect of different DES, and to assess the global safety of DES compared with bare stents through a meta-analysis of randomised controlled trials. METHODS Randomised controlled trials comparing sirolimus and derivates or paclitaxel and derivates eluting stents versus bare stents. Binary restenosis and major...

There has been several Lagrange and Hermite type interpolations of entire functions whose linear canonical transforms have compact supports in ℝ . interpolation representations are called sampling theorems for band-limited signals signal analysis. The truncation, amplitude, jitter errors associated with the investigated ...