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2022 ◽  
pp. 35-62
Author(s):  
Karthikeyan Rajagopal ◽  
Fahimeh Nazarimehr ◽  
Alireza Bahramian ◽  
Sajad Jafari

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Melissa van Beekveld ◽  
Leonardo Vernazza ◽  
Chris D. White

Abstract Collider observables involving heavy particles are subject to large logarithmic terms near threshold, which must be summed to all orders in perturbation theory to obtain sensible results. Relatively recently, this resummation has been extended to next-to-leading power in the threshold variable, using a variety of approaches. In this paper, we consider partonic channels that turn on only at next-to-leading power, and show that it is possible to resum leading logarithms using well-established diagrammatic techniques in Quantum Chromodynamics. We first consider deep inelastic scattering, where we reproduce the results of a recent study using an effective theory approach. Next, we consider the quark-gluon channel in both Drell-Yan and Higgs boson production, showing that an explicit all-order form for the leading logarithmic partonic cross section can be obtained. Our results agree with previous conjectures based on fixed-order results.


Author(s):  
Liu Dai ◽  
Zhi-Hua Xiao ◽  
Ren-Zheng Zhang ◽  
Yao-Lin Jiang

A new structure-preserving model order reduction technique based on Laguerre-Gramian for second-order form systems is presented in this article. The main task of the proposed approach is to use the Laguerre polynomial expansion of the matrix exponential function to obtain the approximate low-rank decomposition of the Gramians for the equivalent first-order representation of the original second-order form system. The approximate balanced system is generated by a balancing transformation which is directly computed from the expansion coefficients of impulse responses in the space spanned by Laguerre polynomials, without computing the full Gramians for the first-order representation. Then, the reduced second-order model is constructed by truncating the states with small approximate Hankel singular values (HSVs). The above method has a disadvantage that it may unexpectedly result in unstable systems although the original one is stable. Therefore, modified reduction procedure combined with the dominant subspace projection method is presented to alleviate the limitation. Finally, two numerical experiments are provided to demonstrate the effectiveness of the algorithms.


Author(s):  
Karthikeyan Rajagopal ◽  
Prakash Duraisamy ◽  
Goitom Tadesse ◽  
Christos Volos ◽  
Fahimeh Nazarimehr ◽  
...  

Abstract In this research, the ship power system is studied with a fractional-order approach. A 2-D model of a two-generator parallel-connected is considered. A chaotic attractor is observed for particular parameter values. The fractional-order form is calculated with the Adam–Bashforth–Moulton method. The chaotic response is identified even for the order 0.99. Phase portrait is generated using the Caputo derivative approach. Wolf’s algorithm is used to calculate Lyapunov exponents. For the considered values of parameters, one positive Lyapunov exponent confirms the existence of chaos. Bifurcation diagrams are presented to analyze the various dynamical behaviors and bifurcation points. Interestingly, the considered system is multistable. Also, antimonotonicity, period-doubling, and period halving are observed in the bifurcation diagram. As the last step, a fractional-order controller is designed to remove chaotic dynamics. Time plots are simulated to show the effectiveness of the controller.


2021 ◽  
Vol 18 (5) ◽  
pp. 154-288
Author(s):  
Robert Meyer

The purpose of this paper is to formulate first-order Peano arithmetic within the resources of relevant logic, and to demonstrate certain properties of the system thus formulated. Striking among these properties are the facts that (1) it is trivial that relevant arithmetic is absolutely consistent, but (2) classical first-order Peano arithmetic is straightforwardly contained in relevant arithmetic. Under (1), I shall show in particular that 0 = 1 is a non-theorem of relevant arithmetic; this, of course, is exactly the formula whose unprovability was sought in the Hilbert program for proving arithmetic consistent. Under (2), I shall exhibit the requisite translation, drawing some Goedelian conclusions therefrom. Left open, however, is the critical problem whether Ackermann’s rule γ is admissible for theories of relevant arithmetic. The particular system of relevant Peano arithmetic featured in this paper shall be called R♯. Its logical base shall be the system R of relevant implication, taken in its first-order form RQ. Among other Peano arithmetics we shall consider here in particular the systems C♯, J♯, and RM3♯; these are based respectively on the classical logic C, the intuitionistic logic J, and the Sobocinski-Dunn semi-relevant logic RM3. And another feature of the paper will be the presentation of a system of natural deduction for R♯, along lines valid for first-order relevant theories in general. This formulation of R♯ makes it possible to construct relevantly valid arithmetical deductions in an easy and natural way; it is based on, but is in some respects more convenient than, the natural deduction formulations for relevant logics developed by Anderson and Belnap in Entailment.


2021 ◽  
Vol 10 (3) ◽  
pp. e001330
Author(s):  
Pamela Mathura ◽  
Cole Boettger ◽  
Reidar Hagtvedt ◽  
Yvonne Suranyi ◽  
Narmin Kassam

IntroductionLaboratory blood testing is one of the most high-volume medical procedures and continues to increase steadily with instances of inappropriate testing resulting in significant financial implications. Studies have suggested that the design of a standard hospital admission order form and laboratory request forms influence physician test ordering behaviour, reducing inappropriate ordering and promoting resource stewardship.Aim/methodTo redesign the standard medicine admission order form-laboratory request section to reduce inappropriate blood urea nitrogen (BUN) testing.ResultsA redesign of the standard admission order form used by general internal medicine physicians and residents in two large teaching hospitals in one health zone in Alberta, Canada led to a significant step reduction in the ordering of the BUN test on hospital admission.ConclusionsRedesigning the standard medicine admission order form-laboratory request section can have a beneficial effect on the reduction in BUN ordering altering physician ordering patterns and behaviour.


2021 ◽  
Vol 1 (2) ◽  
pp. 98-105
Author(s):  
Melina Astri Rahayu ◽  
Sri Eko ◽  
Prahastuti Endang

There are many basic human needs, one of the most important is clothing. In meeting these clothing needs, in general, someone will make it or order it through fashion services. In the past, modiste managed orders armed with books or notes that were easy to lose and forget. Usually making an order form is still in the form of a manual, but the development of Android technology it will make it easier to store consumer data. With the Android-based modiste order form application, there are various advantages, including a fashion business that makes it easy to receive orders quickly anywhere, and anytime. This research is quantitative descriptive research. This research has the main objective to determine the response of the Fashion Design education students to the implementation of the Android-based fashion order form. There are 120 undergraduate students of Fashion Design Education at the State University of Malang who have taken the MUB Modiste course. The research instrument was a questionnaire. The validity test was carried out on students other than research respondents as many as 30 students. The results of this research indicate that in general, the implementation of the order mode form is very significant and suitable. Among all response indicators which include a) sensory response; b) response according to occurrence; c) response to views; d) response to function; e) the response to the way of working states a positive result. It is hoped that the Android-based modiste order form application can be developed so that fashion businesses can download it on the play store and can be commercialized.   Kebutuhan dasar manusia ada beraneka ragam, salah satu yang paling utama adalah busana. Dalam memenuhi kebutuhan busana tersebut, pada umumnya seseorang akan membuatnya atau memesan melalui jasa modiste. Dulu modiste melakukan pengelolaan pesanan dengan berbekal buku atau catatan yang mudah hilang dan lupa. Biasanya pembuatan form order masih dalam bentuk buku manual, namun dengan adanya perkembangan teknologi Android akan mempermudah dalam penyimpanan data konsumen. Dengan adanya aplikasi form order modiste berbasis Android, terdapat berbagai kelebihan antara lain suatu usaha modiste termudahkan menerima order secara cepat dimana saja dan kapan saja. Riset ini merupakan riset deskriptif kuantitatif. riset ini memiliki tujuan utama untuk mengetahui respon mahasiswa pendidikan Tata Busana terhadap implementasi form order modiste berbasis Android. Mahasiswa S1 Pendidikan Tata Busana Universitas Negeri Malang yang sudah menempuh mata kuliah MUB Modiste, berjumlah 120 orang menjadi subjek riset ini. Instrumen riset berupa kuesioner. Uji validitas dilaksanakan pada mahasiswa selain responden riset sebanyak 30 mahasiswa. Hasil dari riset ini menunjukkan bahwa secara umum implementasi form order modiste sangat signifikan dan cocok. Diantara semua indikator respon yang meliputi a) respon menurut indera; b) respon menurut terjadinya; c) respon terhadap tampilan; d) respon terhadap fungsi; e) respon terhadap cara kerja menyatakan hasil yang positif. Diharapkan aplikasi form order modiste berbasis Android dapat dikembangkan sehingga pelaku usaha modiste dapat mengunduh di play store dan dapat dikomersilkan.


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