Projective Normality Of Algebraic Curves And Its Application To Surfaces

Let $L$ be a very ample line bundle on a smooth curve $C$ of genus $g$ with $\frac{3g+3}{2}<\deg L\le 2g-5$. Then $L$ is normally generated if $\deg L>\max\{2g+2-4h^1(C,L), 2g-\frac{g-1}{6}-2h^1(C,L)\}$. Let $C$ be a triple covering of genus $p$ curve $C'$ with $C\stackrel{\phi}\to C'$ and $D$ a divisor on $C'$ with $4p<\deg D< \frac{g-1}{6}-2p$. Then $K_C(-\phi^*D)$ becomes a very ample line bundle which is normally generated. As an application, we characterize some smooth projective surfaces.Comment: 7 pages, 1figur

Quartet consistency count method for reconstructing phylogenetic trees

Among the distance based algorithms in phylogenetic tree reconstruction, the neighbor-joining algorithm has been a widely used and effective method. We propose a new algorithm which counts the number of consistent quartets for cherry picking with tie breaking. We show that the success rate of the new algorithm is almost equal to that of neighbor-joining. This gives an explanation of the qualitative nature of neighbor-joining and that of dissimilarity maps from DNA sequence data. Moreover, the new algorithm always reconstructs correct trees from quartet consistent dissimilarity maps.Comment: 11 pages, 5 figure

From Faculty Development to the Classroom: A Qualitative Study of How Nurse Educators Turn Faculty Development into Action

The purpose of this qualitative study was to better understand the transfer of learning by uncovering how various factors supported the integration of knowledge and skills gleaned from the Faculty Development: Integrated Technology into Nursing Education and Practice Initiative (ITNEP) programs into nursing education curricula. Through interviews with 20 participants from four ITNEP programs, this study confirmed the importance of learner characteristics, program design elements, and factors in the work environment for supporting successful transfer of learning and supports a variety of other transfer of learning research findings. New or seldom discussed supportive individual characteristics were found, including: leadership abilities, lifelong learning, ability to recognize limitations, persistence, creativity, and risk-taking. Study findings suggest that proactive personality may support transfer of learning. Participants maintained motivation from pre-training through post-training at a high enough level to successfully transfer learning. The importance of networking opportunities, a diversity of perspectives, post conference support, and teams in programs designs were found to positively influence transfer and were discussed in relation to social influence. The variety of supportive factors in the participants' work environments, including strategic alignment, strengthens the assertions that transfer may be individually context dependent. Barriers to transfer efforts in the work environment were also addressed. Additionally, while patterns of specific characteristics emerged, interacting findings were found threaded throughout

Analysis of the Genome of the Sexually Transmitted Insect Virus Helicoverpa zea Nudivirus 2

The sexually transmitted insect virus Helicoverpa zea nudivirus 2 (HzNV-2) was determined to have a circular double-stranded DNA genome of 231,621 bp coding for an estimated 113 open reading frames (ORFs). HzNV-2 is most closely related to the nudiviruses, a sister group of the insect baculoviruses. Several putative ORFs that share homology with the baculovirus core genes were identified in the viral genome. However, HzNV-2 lacks several key genetic features of baculoviruses including the late transcriptional regulation factor, LEF-1 and the palindromic hrs, which serve as origins of replication. The HzNV-2 genome was found to code for three ORFs that had significant sequence homology to cellular genes which are not generally found in viral genomes. These included a presumed juvenile hormone esterase gene, a gene coding for a putative zinc-dependent matrix metalloprotease, and a major facilitator superfamily protein gene; all of which are believed to play a role in the cellular proliferation and the tissue hypertrophy observed in the malformation of reproductive organs observed in HzNV-2 infected corn earworm moths, Helicoverpa zea

Perfect Basis Theory for Quantum Borcherds-Bozec Algebras

In this paper, we develop the perfect basis theory for quantum Borcherds-Bozec algebras $U_{q}(\mathfrak g)$ and their irreducible highest weight modules $V(\lambda)$. We show that the perfect graph (resp. dual perfect graph) of every perfect basis (resp. dual perfect basis) of $U_{q}^{-}(\mathfrak g)$ (resp. $V(\lambda)$) is isomorphic to $B(\infty)$ (resp. $B(\lambda)$). For this purpose, we define a new class of Kashiwara operators which is different from the one given by Bozec and prove all the interlocking inductive statements in Kashiwara's grand loop argument, which shows the existence and the uniqueness of crystal bases for quantum Borcherds-Bozec algebras