On the structure of nonarchimedean analytic curves

Let K be an algebraically closed, complete nonarchimedean field and let X be a smooth K-curve. In this paper we elaborate on several aspects of the structure of the Berkovich analytic space X^an. We define semistable vertex sets of X^an and their associated skeleta, which are essentially finite metric graphs embedded in X^an. We prove a folklore theorem which states that semistable vertex sets of X are in natural bijective correspondence with semistable models of X, thus showing that our notion of skeleton coincides with the standard definition of Berkovich. We use the skeletal theory to define a canonical metric on H(X^an) := X^an - X(K), and we give a proof of Thuillier's nonarchimedean Poincar\'e-Lelong formula in this language using results of Bosch and L\"utkebohmert.Comment: 23 pages. This an expanded version of section 5 of arXiv:1104.0320 which appears in the conference proceedings "Tropical and Non-Archimedean Geometry

“Joy in my Body:”An Exploration of Queer Drug Use

Senior Project submitted to The Division of Social Studies of Bard College

Modification of Domiciliary State\u27s Power to Tax Vessels Engaged in Interstate Commerce

Standard Oil Co. v. Peck, Tax Commissioner et al., 72 S. Ct. 309 (1952) Held: The ad valorem taxes levied by various states must be fairly apportioned to the commerce carried on within the taxing state. The rule permitting taxation of personal property used in interstate operations by two or more states on an apportionment basis precludes taxation on full value of all such property by the state of domicile

Modification of Domiciliary State\u27s Power to Tax Vessels Engaged in Interstate Commerce

Standard Oil Co. v. Peck, Tax Commissioner et al., 72 S. Ct. 309 (1952) Held: The ad valorem taxes levied by various states must be fairly apportioned to the commerce carried on within the taxing state. The rule permitting taxation of personal property used in interstate operations by two or more states on an apportionment basis precludes taxation on full value of all such property by the state of domicile

Genome-wide RNAi screens in African trypanosomes identify the nifurtimox activator NTR and the eflornithine transporter AAT6.

To be effective, therapeutic compounds must typically enter target cells and, in some cases, must be concentrated or modified. Thus, uptake and activation mechanisms often form the basis of selectivity against infectious agents. Loss-of-function screens can be used to identify proteins involved in drug uptake and metabolism and may also identify clinically relevant potential resistance mechanisms. We used a genome-scale RNA interference (RNAi) library to identify loss-of-function resistance mechanisms in bloodstream-form Trypanosoma brucei. Nifurtimox-Eflornithine Combination Therapy (NECT) was recently introduced for Human African Trypanosomiasis and we focus on these drugs here. Screens for resistance to nifurtimox and a related drug, benznidazole, identified loss of nitroreductase (NTR) pro-drug activator function. A screen for resistance to the amino-acid analogue, eflornithine, identified loss of amino-acid transporter (AAT6) function. Our results confirm recent findings and suggest that NTR or AAT6 loss-of-function represent major potential mechanisms of resistance to these drugs. Thus, bloodstream-form T. brucei RNAi libraries present a versatile tool for selective genetic screening and for the rapid identification of drug-activation, uptake and potential resistance mechanisms

Reducing the number of days taken for coronary artery bypass grafting for cardiology in-patients within New Cross Hospital, Wolverhampton – a quality improvement project

Background: Following an acute coronary event, the current process of referring a patient for Coronary Artery Bypass Grafting (CABG) at New Cross Hospital, Wolverhampton, has the potential to be improved. At present, patients can wait up to 5 days before being referred to cardiothoracics, often becoming more unwell during the delay. At times, patients become too unwell to undergo the planned surgery. Moreover, additional delays frequently arise due to difficulty tracking the referral. Objective: To reduce the number of days between coronary angiogram to cardiothoracic review from 3 to 1 AND the number of days between coronary angiogram to CABG from 6 to 5. Method: The following 2 measures / PDSA cycles were implemented; - Cycle 1: Same-Day Referrals - Upon reviewing the coronary angiogram, if the consultant cardiologist on-call deems the patient to be a ‘clear surgical candidate’, then a ‘same day’ referral to cardiothoracics for pre-assessment via the Teliologic system is made. - Cycle 2: ‘Post- Angiogram’ Assessment Page [Green Form] - Instead of utilizing numerous non-specific continuation sheets, a dedicated pro-forma is used to document the coronary angiogram results and to track the patient’s subsequent plan (Figure 1). Results: Coronary angiogram to cardiothoracic review reduced from 3 to 2 days, whilst from coronary angiogram to CABG reduced from 6 to 5 days. In addition, the average total length of stay has reduced by 3 days, improving patient outcomes and saving the hospital an average of £1200 per patient. Discussion and Conclusion: At present, the decision on when anti-platelets [Ticagrelor in particular] should be stopped prior to surgery, varies from 2 days to 7 days, depending on both the patient’s presentation & the personal preference of each surgeon.1 This is the focus of Cycle 3, namely to implement local trust guidelines on stopping anti-platelets prior to CABG. Simple improvements in communication have significantly increased the efficiency of this referral process. For example, in cycle 2 we created a single, unified pro-forma which could be easily identified & updated by each member of the team, improving consistency, continuity of care & avoiding potential delays for surgery due to mis-placed documentation. In turn, this has reduced patient morbidity & made significant cost savings

A note on dyadic approximation in Cantor's set

We consider the convergence theory for dyadic approximation in the middle-third Cantor set, $K$, for approximation functions of the form $\psi_{\tau}(n) = n^{-\tau}$ ($\tau \ge 0$). In particular, we show that for values of $\tau$ beyond a certain threshold we have that almost no point in $K$ is dyadically $\psi_{\tau}$-well approximable with respect to the natural probability measure on $K$. This refines a previous result in this direction obtained by the first, third, and fourth named authors (arXiv, 2020)