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Our discussion applies to Maple 13. For us, the most important part of Maple is the Groebner package, though there is also the PolynomialIdeals package that will be discussed later in the section. To have access to the commands in the Groebner package, type: > with(Groebner) (here, > is the Maple prompt). Once the Groebner package is loaded, you can perform(More)
This paper will introduce the homogeneous coordinate ring S of a toric variety X. The ring S is a polynomial ring with one variable for each one-dimensional cone in the fan ∆ determining X, and S has a natural grading determined by the monoid of effective divisor classes in the Chow group A n−1 (X) of X (where n = dim X). Using this graded ring, we will(More)
General Information Since the second edition of Using Algebraic Geometry appeared in 2005, Maple's Groebner package has undergone further revisions and extensions. Hence some of the discussion in the text and some examples are no longer up-to-date. The purposes of this update are to indicate the most important changes, to illustrate some of the increased(More)
UNLABELLED In the placebo group of the MORE study, including 2576 postmenopausal women (mean age, 66.5 years), the authors describe a strong linear association between the severity grade of osteoporosis (from low BMD to presence of severe vertebral fractures) and the future risk of cardiovascular events. Accordingly, treatment of postmenopausal osteoporosis(More)
BACKGROUND Restenosis after coronary stenting necessitates repeated percutaneous or surgical revascularization procedures. The delivery of paclitaxel to the site of vascular injury may reduce the incidence of neointimal hyperplasia and restenosis. METHODS At 73 U.S. centers, we enrolled 1314 patients who were receiving a stent in a single, previously(More)
BACKGROUND Tadalafil improved lower urinary tract symptoms (LUTS) suggestive of benign prostatic hyperplasia (BPH; LUTS/BPH) in clinical studies but has not been evaluated together with an active control in an international clinical study. OBJECTIVE Assess tadalafil or tamsulosin versus placebo for LUTS/BPH. DESIGN, SETTING, AND PARTICIPANTS A(More)
BACKGROUND The safety and efficacy of the slow-release, polymer-based, paclitaxel-eluting stent after implantation in a broad cross section of de novo coronary lesions at 1 year are unknown. METHODS AND RESULTS In the TAXUS-IV trial, 1314 patients with single de novo coronary lesions 10 to 28 mm in length, with reference-vessel diameter 2.5 to 3.75 mm,(More)
OBJECTIVES We sought to develop a simple risk score for predicting mortality after primary percutaneous coronary intervention (PCI) for acute myocardial infarction (AMI). BACKGROUND Accurate risk stratification after primary PCI is important. Previous risk scores after reperfusion therapy have incorporated clinical +/- angiographic variables but have not(More)