Convergent Asymptotic Expansions of Charlier, Laguerre and Jacobi Polynomials

Convergent expansions are derived for three types of orthogonal polynomials: Charlier, Laguerre and Jacobi. The expansions have asymptotic properties for large values of the degree. The expansions are given in terms of functions that are special cases of the given polynomials. The method is based on expanding integrals in one or two points of the complex plane, these points being saddle points of the phase functions of the integrands.Comment: 20 pages, 5 figures. Keywords: Charlier polynomials, Laguerre polynomials, Jacobi polynomials, asymptotic expansions, saddle point methods, two-points Taylor expansion

Two-point Taylor Expansions of Analytic Functions

Taylor expansions of analytic functions are considered with respect to two points. Cauchy-type formulas are given for coefficients and remainders in the expansions, and the regions of convergence are indicated. It is explained how these expansions can be used in deriving uniform asymptotic expansions of integrals. The method is also used for obtaining Laurent expansions in two points.Comment: 14 pages, 10 figure

Multi-point Taylor Expansions of Analytic Functions

Taylor expansions of analytic functions are considered with respect to several points, allowing confluence of any of them. Cauchy-type formulas are given for coefficients and remainders in the expansions, and the regions of convergence are indicated. It is explained how these expansions can be used in deriving uniform asymptotic expansions of integrals. The method is also used for obtaining Laurent expansions in several points as well as Taylor-Laurent expansions.Comment: 20 pages, 7 figures. Keywords: multi-point Taylor expansions, Cauchy's theorem, analytic functions, multi-point Laurent expansions, uniform asymptotic expansions of integral

A Comparison of the Trojan Y Chromosome Strategy to Harvesting Models for Eradication of Non-Native Species

The Trojan Y Chromosome Strategy (TYC) is a promising eradication method for biological control of non-native species. The strategy works by manipulating the sex ratio of a population through the introduction of \textit{supermales} that guarantee male offspring. In the current manuscript, we compare the TYC method with a pure harvesting strategy. We also analyze a hybrid harvesting model that mirrors the TYC strategy. The dynamic analysis leads to results on stability, global boundedness of solutions and bifurcations of the model. Several conclusions about the different strategies are established via optimal control methods. In particular, the results affirm that either a pure harvesting or hybrid strategy may work better than the TYC method at controlling an invasive species population.Comment: 37 pages, 11 figure

Метод коррекции для параллелизации численных моделей гидродинамики водоемов со свободной поверхностью

В роботi запропоновано метод перетворення послiдовних алгоритмiв моделей гiдродинамiки резервуарiв з вiльною поверхнею в паралельнi, використовуючи MPI та розбивку розрахункової областi на пiдобластi, перевагою якого є відносна простота реалізації, обумовлена потребою тільки у додаткових процедурах корекції замість значних перетворень існуючих програм послідовного розрахунку. Дослiджується вплив рiзноманiтних факторiв на ефективнiсть методу в термінах зменшення тривалості розрахунків зі збільшенням числа застосованих процесорів.В работе предложен метод преобразования последовательных алгоритмов моделей гидродинамики резервуаров со свободной поверхностью в параллельные, используя MPI и разбивку расчётной области на подобласти, преимуществом метода является относительная простота реализации, обусловленная потребностью только в дополнительных процедурах коррекции вместо значительных преобразований существующих программ последовательного расчёта. Исследуется влияние различных факторов на эффективность метода в терминах уменьшения длительности параллельных расчётов с увеличением числа используемых процессоров.This paper proposes a technique using MPI and domain decomposition to transform serial algorithms of numerical models for hydrodynamics simulations in the water reservoirs with free surface into parallel algorithms. The advantage of the proposed technique is a comparatively simple realization due to the necessity of only additional correction procedures instead of significant transformations of existing serial program code. The impacts of various factors on the method of efficiency are studied in terms of the speedup of computations with the increase of number of utilized processors

Randomized lasso links microbial taxa with aquatic functional groups inferred from flow cytometry

High-nucleic-acid (HNA) and low-nucleic-acid (LNA) bacteria are two operational groups identified by flow cytometry (FCM) in aquatic systems. A number of reports have shown that HNA cell density correlates strongly with heterotrophic production, while LNA cell density does not. However, which taxa are specifically associated with these groups, and by extension, productivity has remained elusive. Here, we addressed this knowledge gap by using a machine learning-based variable selection approach that integrated FCM and 16S rRNA gene sequencing data collected from 14 freshwater lakes spanning a broad range in physicochemical conditions. There was a strong association between bacterial heterotrophic production and HNA absolute cell abundances (R-2 = 0.65), but not with the more abundant LNA cells. This solidifies findings, mainly from marine systems, that HNA and LNA bacteria could be considered separate functional groups, the former contributing a disproportionately large share of carbon cycling. Taxa selected by the models could predict HNA and LNA absolute cell abundances at all taxonomic levels. Selected operational taxonomic units (OTUs) ranged from low to high relative abundance and were mostly lake system specific (89.5% to 99.2%). A subset of selected OTUs was associated with both LNA and HNA groups (12.5% to 33.3%), suggesting either phenotypic plasticity or within-OTU genetic and physiological heterogeneity. These findings may lead to the identification of system-specific putative ecological indicators for heterotrophic productivity. Generally, our approach allows for the association of OTUs with specific functional groups in diverse ecosystems in order to improve our understanding of (microbial) biodiversity-ecosystem functioning relationships. IMPORTANCE A major goal in microbial ecology is to understand how microbial community structure influences ecosystem functioning. Various methods to directly associate bacterial taxa to functional groups in the environment are being developed. In this study, we applied machine learning methods to relate taxonomic data obtained from marker gene surveys to functional groups identified by flow cytometry. This allowed us to identify the taxa that are associated with heterotrophic productivity in freshwater lakes and indicated that the key contributors were highly system specific, regularly rare members of the community, and that some could possibly switch between being low and high contributors. Our approach provides a promising framework to identify taxa that contribute to ecosystem functioning and can be further developed to explore microbial contributions beyond heterotrophic production

The polymerisation of oligo(ethylene glycol methyl ether) methacrylate from a multifunctional poly(ethylene imine) derived amide: a stabiliser for the synthesis and dispersion of magnetite nanoparticles

A facile synthetic route to poly(ethylene imine)-graft-poly(oligo(ethylene glycol methyl ether)) (PEI-graft-POEGMA) functionalised superparamagnetic magnetite nanoparticles is described. The polymerisation of OEGMA from a model molecular amide demonstrated the feasibility of POEGMA synthesis under mild ATRP conditions (20 °C in ethanol) albeit with low initiator efficiencies. DFT studies suggest that the amide functionality is intrinsically of lower activity than ester functional monomers and initiators for atom transfer polymerisation (ATRP) as a consequence of higher bond dissociation energies and bond dissociation free energies (BDFE). However these studies further highlighted that use of an appropriate solvent could reduce the free energy of dissociation thereby reducing the relative difference in BDFE between the ester and amide groups. A commercial branched PEI sample was functionalised by reaction with 2-bromo-2-methylpropanoyl bromide giving an amide macroinitiator suitable for the atom transfer radical polymerisation (ATRP) of oligo(ethylene glycol methyl ether) methacrylate. The resulting PEI-graft-POEGMA copolymers were characterised by SEC, FT-IR and 1H and 13C NMR spectroscopy. PEI-graft-POEGMA coated magnetite nanoparticles were synthesised by a basic aqueous co-precipitation method and were characterised by transmission electron microscopy, thermogravimetric analysis and vibrating sample magnetometry and dynamic light scattering. These copolymer coated magnetite nanoparticles were demonstrated to be effectively stabilised in an aqueous medium. Overall the particle sizes and magnetic and physical properties of the coated samples were similar to those of uncoated samples

Analisis Hubungan Komitmen Organisasional terhadap Kinerja Dokter di Instalasi Rawat Jalan RSUD Kabupaten Batang

Universitas Diponegoro Fakultas Kesehatan Masyarakat Program Studi Magister Ilmu Kesehatan Masyarakat Konsentrasi Administrasi Rumah Sakit 2017 ABSTRAK Any Rusydiani Analisis Hubungan Komitmen Organisasional terhadap Kinerja Dokter di Instalasi Rawat Jalan RSUD Kabupaten Batang xiv + 98 halaman + 17 tabel + 2gambar + 5 lampiran Pada pelayanan di RSUD Batang ditemukan masih kurangnya kinerja dokter dalam memberikan pelayanan di Instalasi Rawat Jalan seperti jam pelayanan yang tidak tepat waktu, waktu konsultasi yang terbatas dan masih ditemukan ketidakramahan dokter. Faktor penyebabnya adalah kurangnya komitmen organisasional para dokter sehingga penelitian ini bertujuan untuk mengetahui pengaruh komitmen organisasional terhadap kinerja dokter di Instalasi Rawat Jalan RSUD Kabupaten Batang. Jenis penelitian kuantitatif kausal dengan desain cross sectional. Sampel penelitian adalah semua jumlah populasi sebanyak 30 responden dengan instrumen kuesioner terstruktur. Pengolahan data diskriptif analitik terdiri analisis tabulasi silang dan analisis korelasi rank spearmanmenggunakan SPSS. Hasil penelitian menunjukkan bahwa dari hasil korelasi rank spearmanaffective commitment berhubungan secara nyata, positif dan lemah dengan kinerja dokter dimana nilai korelasi (r) sebesar 0.387 termasuk dalam kisaran 0.21 r 0.40 dan nilai peluang (p) sebesar 0.035. Continuance commitment memiliki hubungan yang nyata, positif dan kuat dengan kinerja dokter dimana nilai korelasi (r) sebesar 0.495 berada pada kisaran 0.41 r 0.70 dengan nilai signifikansi 0.030. Normative commitment memiliki hubungan nyata, positif dan lemah dengan kinerja dokter, nilai korelasi yang diperoleh sebesar 0.401 berada pada kisaran 0.21 r 0.40 dengan signifikansi sebesar 0.009sehingga Ho ditolak. Kesimpulan penelitian ini bahwa komitmen organisasional yang terdiri dari affective commitment,continuance commitment, dan normative commitment berhubungan secara signifikan dan positif terhadap kinerja dokter di Instalasi Rawat Jalan RSUD Kabupaten Batang. Saran untuk pihak manajemen RSUD Batang adalah menciptakan suasana pekerjaan yang nyaman, kompensasi yang adil dan memadahi, serta melibatkan dokter spesialis dalam mengambil keputusan yang berhubungan dengan spesialisasinya. Kata kunci : Komitmen Organisasional, Kinerja Dokter Kepustakaan : 51 (1991 – 2015) iDiponegoro University Faculty of Public Health Master’s Study Program in Public Health Majoring in Hospital Administration 2017 ABSTRACT Any Rusydiani Relationship Analysis between Organisational Commitments and the Performance of Physicians at the Outpatient Installation of Batang Regency Public Hospital xiv + 98 pages + 17 tables + 2 figures + 5 appendices A performance of physicians in providing services at the outpatient installation of Batang Regency Public Hospital was low. For example, physicians were not on time, a time for consultation was limited, and physicians were not hospitable. These problems were due to lack of physicians’ organisational commitments. This study aimed at identifying the influence of organisational commitments towards the performance of physicians at the outpatient installation of Batang Regency Public Hospital. This was a quantitative studyusing a cross-sectional approach. Number of samples were 30 respondents. Data collection used a structured questionnaire. Data were presented descriptively and analytically using cross- tabulation and a Spearman’s Rank test performed using SPSS. The results of this research showed that the factor of affective commitment positively significantly related to the performance (rho=0.387;0.21 r 0.40; p value=0.035). Similarly, continuance commitmenthad significant relationship with the performance (rho=0.495;0.41 r 0.70; p value= 0.030). In addition,, normative commitment positivelysignificantly related to the performance (rho=0.401;0.21 r 0.40; p value=0.009). To sum up, organisational commitments consisted of affective commitment, continuance commitment, and normative commitment significantly related to the physicians’ performance. The hospital management needs to create convenient situation at the workplace, to provide reward equally, and to involve specialists in making a decision that relates to their expertise. Keywords : Organisational Commitments, Physicians’ Performance Bibliography: 51 (1991-2015) i

Coal-exit alliance must confront freeriding sectors to propel Paris-aligned momentum

The global phase-out of coal by mid-century is considered vital to the Paris Agreement to limit warming well-below 2 \ub0C above pre-industrial levels. Since the inception of the Powering Past Coal Alliance (PPCA) at COP23, political ambitions to accelerate the decline of coal have mounted to become the foremost priority at COP26. However, mitigation research lacks the tools to assess whether this bottom-up momentum can self-propagate toward Paris alignment. Here, we introduce dynamic policy evaluation (DPE), an evidence-based approach for emulating real-world policy-making. Given empirical relationships established between energy-economic developments and policy adoption, we endogenize national political decision-making into the integrated assessment model REMIND via multistage feedback loops with a probabilistic coalition accession model. DPE finds global PPCA participation <5% likely against a current policies backdrop and, counterintuitively, foresees that intracoalition leakage risks may severely compromise sector-specific, demand-side action. DPE further enables policies to interact endogenously, demonstrated here by the PPCA’s path-dependence to COVID-19 recovery investments