Intersection Number of Plane Curves

In algebraic geometry, seemingly geometric problems can be solved using algebraic techniques. Some of the most basic geometric objects we can study are polynomial curves in the plane. In this paper we focus on the intersections of two curves. We address both the number of times two curves intersect at a given point, counting multiplicity (whatever that means), and the total number of intersections of the curves, again counting multiplicity. The former is known as the intersection number of the curves at the point. This concept, although geometrically motivated, can be described in algebraic terms; it is this relationship which makes it such a powerful concept. The paper concludes with an important application of the intersection number, Bezout\u27s Theorem. This ubiquitous theorem gives a beautifully concise solution to the total number of intersections, given sufficiently nice assumptions on the curves and the ambient space

Alien Registration- Nichols, Margaret E. (Lincoln, Penobscot County)

https://digitalmaine.com/alien_docs/7466/thumbnail.jp

Intersection Number of Plane Curves

In algebraic geometry, seemingly geometric problems can be solved using algebraic techniques. Some of the most basic geometric objects we can study are polynomial curves in the plane. In this paper we focus on the intersections of two curves. We address both the number of times two curves intersect at a given point, counting multiplicity (whatever that means), and the total number of intersections of the curves, again counting multiplicity. The former is known as the intersection number of the curves at the point. This concept, although geometrically motivated, can be described in algebraic terms; it is this relationship which makes it such a powerful concept. The paper concludes with an important application of the intersection number, Bezout\u27s Theorem. This ubiquitous theorem gives a beautifully concise solution to the total number of intersections, given sufficiently nice assumptions on the curves and the ambient space

Campus Pride

This project proposed a better means to identify what manifests a sense of pride on college campuses and identify how, specifically, VCU could enrich the campus image, the campus experience and the campus environment to nurture and enhance institutional pride. Of the ideas that were proposed, Mary Cox, University Architect, was able to implement several under the purview of facilities management. The VCU Rams logo painted on campus streets and the use of banners highlighting key university accomplishments were among the ideas proposed in this project

Correct Social Usage Volume 1: A Course of Instruction in Good Form Style and Deportment by Eighteen Distinguished Authors

The preface of the volume says that, This course of instruction sums up for its readers the substance of the truest good form. It teaches society\u27s customs intelligently, it treats society topics thoroughly, it offers helps for social perplexities. In the scope of its subject matter it includes everything which could rightly be placed between the covers of a practical work on etiquette, while in the unique manner of presenting this matter it has accomplished something never attempted before. This volume is organized into three books: Social Self-Culture, Everyday Etiquette, and Conventional Requirements, each with several essays by an individual author. The book about Social Self-Culture provides general discussion of good manners and etiquette in society. Everyday Etiquette gives more specific advice for various social occasions, such as conversation, table etiquette, correspondence and gifts. Conventional Requirements provides guidelines for such social situations as introductions, calls, and visiting cards.https://openworks.wooster.edu/motherhomeheaven/1091/thumbnail.jp

A multicenter, longitudinal, interventional, double blind randomized clinical trial in hematopoietic cell transplant recipients residing in remote areas: Lessons learned from the late cytomegalovirus prevention trial

AbstractPurposeThe logistics of conducting double-blinded phase III clinical trials with participants residing in remote locations are complex. Here we describe the implementation of an interventional trial for the prevention of late cytomegalovirus (CMV) disease in hematopoietic cell transplantation (HCT) subjects in a long-term follow-up environment.MethodsA total of 184 subjects at risk for late CMV disease surviving 80 days following allogeneic HCT were randomized to receive six months of valganciclovir or placebo. Subjects were followed through day 270 post-transplant at their local physician's office within the United States. Anti-viral treatment interventions were based on CMV DNAemia as measured by polymerase chain reaction (PCR) (>1000 copies/mL) and granulocyte colony stimulating factor (G-CSF) was prescribed for neutropenia (absolute neutrophil count (ANC < 1.0 × 109 cells/L). Blood samples for viral testing and safety monitoring were shipped to a central laboratory by overnight carrier. Real-time communication was established between the coordinating center and study sites, primary care physicians, and study participants to facilitate starting, stopping and dose adjustments of antiviral drugs and G-CSF. The time required to make these interventions was analyzed.ResultsOf the 4169 scheduled blood specimens, 3832 (92%) were received and analyzed; the majority (97%) arriving at the central site within 2 days. Among subjects with positive CMV DNAemia (N = 46), over 50% received open label antiviral medication within one day. The median time to start G-CSF for neutropenia was <1 day after posting of laboratory results (range 0–6; N = 38). Study drug dose adjustments for abnormal renal function were implemented 203 times; within one day for 48% of cases and within 2 days for 80% of cases.ConclusionComplex randomized, double-blind, multicenter interventional trials with treatment decisions made at a central coordinating site can be conducted safely and effectively according to Good Clinical Practice (GCP) guidelines over a large geographic area

Multi-site genetic analysis of diffusion images and voxelwise heritability analysis : a pilot project of the ENIGMA–DTI working group

The ENIGMA (Enhancing NeuroImaging Genetics through Meta-Analysis) Consortium was set up to analyze brain measures and genotypes from multiple sites across the world to improve the power to detect genetic variants that influence the brain. Diffusion tensor imaging (DTI) yields quantitative measures sensitive to brain development and degeneration, and some common genetic variants may be associated with white matter integrity or connectivity. DTI measures, such as the fractional anisotropy (FA) of water diffusion, may be useful for identifying genetic variants that influence brain microstructure. However, genome-wide association studies (GWAS) require large populations to obtain sufficient power to detect and replicate significant effects, motivating a multi-site consortium effort. As part of an ENIGMA–DTI working group, we analyzed high-resolution FA images from multiple imaging sites across North America, Australia, and Europe, to address the challenge of harmonizing imaging data collected at multiple sites. Four hundred images of healthy adults aged 18–85 from four sites were used to create a template and corresponding skeletonized FA image as a common reference space. Using twin and pedigree samples of different ethnicities, we used our common template to evaluate the heritability of tract-derived FA measures. We show that our template is reliable for integrating multiple datasets by combining results through meta-analysis and unifying the data through exploratory mega-analyses. Our results may help prioritize regions of the FA map that are consistently influenced by additive genetic factors for future genetic discovery studies. Protocols and templates are publicly available at (http://enigma.loni.ucla.edu/ongoing/dti-working-group/)

Film as architectural theory

Publications on architectural theory have predominantly taken on the form of text-based books, monographs, and articles. With the rise of transdisciplinary and practice-based research in architecture, new opportunities are opening up for other forms of architectural theory, such as film-based mediums, which promise to expand and alter the convention of the written practice of theory. Two possible types of filmic theory are presented here. One follows the method of ethnographic documentary filmmaking inspired by Sarah Pinkfilm-based mediums, which promise to expand and alter thellows the line of art house filmmaking inspired by Kathryn Rameyyn Rameyg inspired by Sarah Pinkfilm-based mediums, which promise to expand ae to expand ad mediums, which promise to expand a convention of the written practice of theory. or constructing knowledge, new discourses on filmic theory can be opened up. It is argued here that film as architectural theory is part of this new discourse, broadening the audience’u engagement with architecture through not only “readership” but also “viewership.

Acute myeloid leukemia patients’ clinical response to idasanutlin (RG7388) is associated with pre-treatment MDM2 protein expression in leukemic blasts

In translational research described, we investigated biomarker expression by flow cytometry for MDM2 antagonist clinical response association in relapsed/refractory AML patients treated with idasanutlin-based therapy (Clinicaltrials.gov identifier: NCT01773408)