cometadata/datacite-rtg-text-other-reclassification-records huggingface dataset:
On two notions of complexity of algebraic numbers
Creators: name: Bugeaud, Yann
name: Evertse, Jan-Hendrik
Publisher: name: arXiv
Year: 2007
Subjects: subject: Number Theory (math.NT)
subject: FOS: Mathematics
subject: 11J68, 11J61, 11J82

description: we derive new, improved lower bounds for the block complexity of an irrational algebraic number and for the number of digit changes in the b-ary expansion of an irrational algebraic number. To this end, we apply a quantitative version of the Subspace Theorem due to Evertse and Schlickewei (2002).
description: 31 pages
How Image Degradations Affect Deep CNN-based Face Recognition?
Creators: name: Karahan, Samil
name: Yildirim, Merve Kilinc
name: Kirtac, Kadir
name: Rende, Ferhat Sukru
name: Butun, Gultekin
name: Ekenel, Hazim Kemal
Publisher: name: arXiv
Year: 2016
Subjects: subject: Computer Vision and Pattern Recognition (cs.CV)
subject: FOS: Computer and information sciences

description: Face recognition approaches that are based on deep convolutional neural networks (CNN) have been dominating the field. The performance improvements they have provided in the so called in-the-wild datasets are significant, however, their performance under image quality degradations have not been assessed, yet. This is particularly important, since in real-world face recognition applications, images may contain various kinds of degradations due to motion blur, noise, compression artifacts, color distortions, and occlusion. In this work, we have addressed this problem and analyzed the influence of these image degradations on the performance of deep CNN-based face recognition approaches using the standard LFW closed-set identification protocol. We have evaluated three popular deep CNN models, namely, the AlexNet, VGG-Face, and GoogLeNet. Results have indicated that blur, noise, and occlusion cause a significant decrease in performance, while deep CNN models are found to be robust to distortions, such as color distortions and change in color balance.
description: 8 pages, 3 figures
Search for aluminium monoxide in the winds of oxygen-rich AGB stars
Creators: name: De Beck, E.
name: Decin, L.
name: Ramstedt, S.
name: Olofsson, H.
name: Menten, K. M.
name: Patel, N. A.
name: Vlemmings, W. H. T.
Publisher: name: arXiv
Year: 2016
Subjects: subject: Solar and Stellar Astrophysics (astro-ph.SR)
subject: Astrophysics of Galaxies (astro-ph.GA)
subject: FOS: Physical sciences

description: Aluminium monoxide, AlO, is likely efficiently depleted from the gas around oxygen-rich evolved stars to form alumina clusters and dust seeds. Its presence in the extended atmospheres of evolved stars has been derived from optical spectroscopy. More recently, AlO gas was also detected at long wavelengths around the supergiant VY CMa and the oxygen-rich asymptotic giant branch (AGB) star o Cet (Mira A). In search of AlO, we mined data obtained with APEX, the IRAM 30m telescope, Herschel/HIFI, SMA, and ALMA, which were primarily aimed at studying other molecular species. We report here on observations of AlO towards a sample of eight oxygen-rich AGB stars in different rotational transitions, up to seven for some stars. We present definite detections of one rotational transition of AlO for o Cet and R Aqr, and tentative detections of one transition for R Dor and o Cet, and two for IK Tau and W Hya. The presented spectra of WX Psc, R Cas, and TX Cam show no signature of AlO. For o Cet, R Aqr, and IK Tau, we find that the AlO(N=9-8) emission likely traces the inner parts of the wind, out to only a few tens of AU, where the gas has not yet reached its terminal velocity. The conclusive detections of AlO emission in the case of o Cet and R Aqr confirm the presence of AlO gas in outflows of AGB stars. The tentative detections further support this. Since most of the observations presented in this study were obtained with stronger emission from other species than AlO in mind, observations with higher sensitivity in combination with high angular resolution will improve our understanding of the presence and behaviour of AlO. From the current data sets we cannot firmly conclude whether there is a direct correlation between the wind properties and the detection rate of AlO emission. We hope that this study can serve as a stimulus to perform sample studies in search of AlO in oxygen-rich outflows.
description: 9 pages, 9 figures, Accepted for publication in Astronomy & Astrophysics
On the Quantitative Subspace Theorem
Creators: name: Evertse, Jan-Hendrik
Publisher: name: arXiv
Year: 2010
Subjects: subject: Number Theory (math.NT)
subject: FOS: Mathematics

description: In this survey we give an overview of recent developments on the Quantitative Subspace Theorem. In particular, we discuss a new upper bound for the number of subspaces containing the "large" solutions, obtained jointly with Roberto Ferretti, and sketch the proof of the latter. Further, we prove a new gap principle to handle the "small" solutions in the system of inequalities considered in the Subspace Theorem. Finally, we go into the refinement of the Subspace Theorem by Faltings and Wuestholz, which states that the system of inequalities considered has only finitely many solutions outside some effectively determinable proper linear subspace of the ambient solution space. Estimating the number of these solutions is still an open problem. We give some motivation that this problem is very hard.
description: 26 pages
A further improvement of the quantitative Subspace Theorem
Creators: name: Evertse, Jan-Hendrik
name: Ferretti, Roberto G.
Publisher: name: arXiv
Year: 2010
Subjects: subject: Number Theory (math.NT)
subject: FOS: Mathematics
subject: 11J68, 11J25

description: In 2002, Evertse and Schlickewei obtained a quantitative version of the so-called Absolute Parametric Subspace Theorem. This result deals with a parametrized class of twisted heights. One of the consequences of this result is a quantitative version of the Absolute Subspace Theorem, giving an explicit upper bound for the number of subspaces containing the solutions of the Diophantine inequality under consideration. In the present paper, we further improve Evertse's and Schlickewei's quantitative version of the Absolute Parametric Subspace Theorem, and deduce an improved quantitative version of the Absolute Subspace Theorem. We combine ideas from the proof of Evertse and Schlickewei (which is basically a substantial refinement of Schmidt's proof of his Subspace Theorem from 1972, with ideas from Faltings' and Wuestholz' proof of the Subspace Theorem.
description: 93 pages
Effective results for unit equations over finitely generated domains
Creators: name: Evertse, Jan-Hendrik
name: Győry, Kálmán
Publisher: name: arXiv
Year: 2011
Subjects: subject: Number Theory (math.NT)
subject: FOS: Mathematics
subject: 11D61, 11J86

description: Let A be a commutative domain containing Z which is finitely generated as a Z-algebra, and let a,b,c be non-zero elements of A. It follows from work of Siegel, Mahler, Parry and Lang that the equation (*) ax+by=c has only finitely many solutions in elements x,y of the unit group A* of A, but the proof following from their arguments is ineffective. Using linear forms in logarithms estimates of Baker and Coates, in 1979 Győry gave an effective proof of this finiteness result, in the special case that A is the ring of S-integers of an algebraic number field. Some years later, Győry extended this to a restricted class of finitely generated domains A, containing transcendental elements. In the present paper, we give an effective finiteness proof for the number of solutions of (*) for arbitrary domains A finitely generated over Z. In fact, we give an explicit upper bound for the `sizes' of the solutions x,y, in terms of defining parameters for A,a,b,c. In our proof, we use already existing effective finiteness results for two variable S-unit equations over number fields due to Győry and Yu and over function fields due to Mason, as well as an explicit specialization argument.
description: 41 pages
Effective results for hyper- and superelliptic equations over number fields
Creators: name: Bérczes, Attila
name: Evertse, Jan-Hendrik
name: Györy, Kálmán
Publisher: name: arXiv
Year: 2013
Subjects: subject: Number Theory (math.NT)
subject: FOS: Mathematics
subject: 11D41, 11D61, 11J86

description: We consider hyper- and superelliptic equations $f(x)=by^m$ with unknowns x,y from the ring of S-integers of a given number field K. Here, f is a polynomial with S-integral coefficients of degree n with non-zero discriminant and b is a non-zero S-integer. Assuming that n>2 if m=2 or n>1 if m>2, we give completely explicit upper bounds for the heights of the solutions x,y in terms of the heights of f and b, the discriminant of K, and the norms of the prime ideals in S. Further, we give a completely explicit bound C such that $f(x)=by^m$ has no solutions in S-integers x,y if m>C, except if y is 0 or a root of unity. We will apply these results in another paper where we consider hyper- and superelliptic equations with unknowns taken from an arbitrary finitely generated integral domain of characteristic 0.
description: 31 pages
Effective results for Diophantine equations over finitely generated domains
Creators: name: Bérczes, Attila
name: Evertse, Jan-Hendrik
name: Györy, Kálmán
Publisher: name: arXiv
Year: 2013
Subjects: subject: Number Theory (math.NT)
subject: FOS: Mathematics

description: Let A be an arbitrary integral domain of characteristic 0 which is finitely generated over Z. We consider Thue equations $F(x,y)=b$ with unknowns x,y from A and hyper- and superelliptic equations $f(x)=by^m$ with unknowns from A, where the binary form F and the polynomial f have their coefficients in A, where b is a non-zero element from A, and where m is an integer at least 2. Under the necessary finiteness conditions imposed on F,f,m, we give explicit upper bounds for the sizes of x,y in terms of suitable representations for A,F,f,b Our results imply that the solutions of Thue equations and hyper- and superelliptic equations over arbitrary finitely generated domains can be determined effectively in principle. Further, we generalize a theorem of Schinzel and Tijdeman to the effect, that there is an effectively computable constant C such that $f(x)=by^m$ has no solutions in x,y from A with y not 0 or a root of unity if m>C. In our proofs, we use effective results for Thue equations and hyper- and superelliptic equations over number fields and function fields, some effective commutative algebra, and a specialization argument.
description: 37 pages
Degrees and distances in random and evolving Apollonian networks
Creators: name: Kolossváry, István
name: Komjáthy, Júlia
name: Vágó, Lajos
Publisher: name: arXiv
Year: 2013
Subjects: subject: Probability (math.PR)
subject: FOS: Mathematics
subject: 05C80, 05C82, 05C12, 90B15, 60J80

description: This paper studies Random and Evolving Apollonian networks (RANs and EANs), in d dimension for any d>=2, i.e. dynamically evolving random d dimensional simplices looked as graphs inside an initial d-dimensional simplex. We determine the limiting degree distribution in RANs and show that it follows a power law tail with exponent tau=(2d-1)/(d-1). We further show that the degree distribution in EANs converges to the same degree distribution if the simplex-occupation parameter in the n-th step of the dynamics is q_n->0 and sum_{n=0}^infty q_n =infty. This result gives a rigorous proof for the conjecture of Zhang et al. that EANs tend to show similar behavior as RANs once the occupation parameter q->0. We also determine the asymptotic behavior of shortest paths in RANs and EANs for arbitrary d dimensions. For RANs we show that the shortest path between two uniformly chosen vertices (typical distance), the flooding time of a uniformly picked vertex and the diameter of the graph after n steps all scale as constant times log n. We determine the constants for all three cases and prove a central limit theorem for the typical distances. We prove a similar CLT for typical distances in EANs.
On the length and area spectrum of analytic convex domains
Creators: name: Martín, Pau
name: Ramírez-Ros, Rafael
name: Tamarit-Sariol, Anna
Publisher: name: arXiv
Year: 2014
Subjects: subject: Dynamical Systems (math.DS)
subject: FOS: Mathematics

description: Area-preserving twist maps have at least two different $(p,q)$-periodic orbits and every $(p,q)$-periodic orbit has its $(p,q)$-periodic action for suitable couples $(p,q)$. We establish an exponentially small upper bound for the differences of $(p,q)$-periodic actions when the map is analytic on a $(m,n)$-resonant rotational invariant curve (resonant RIC) and $p/q$ is "sufficiently close" to $m/n$. The exponent in this upper bound is closely related to the analyticity strip width of a suitable angular variable. The result is obtained in two steps. First, we prove a Neishtadt-like theorem, in which the $n$-th power of the twist map is written as an integrable twist map plus an exponentially small remainder on the distance to the RIC. Second, we apply the MacKay-Meiss-Percival action principle. We apply our exponentially small upper bound to several billiard problems. The resonant RIC is a boundary of the phase space in almost all of them. For instance, we show that the lengths (respectively, areas) of all the $(1,q)$-periodic billiard (respectively, dual billiard) trajectories inside (respectively, outside) analytic strictly convex domains are exponentially close in the period $q$. This improves some classical results of Marvizi, Melrose, Colin de Verdière, Tabachnikov, and others about the smooth case.
Floraspring scam or legit
Creators: name: Supplement
Publisher: name: Zenodo
Year: 2021
Subjects: Floraspring, Floraspring Supplement, floraspring side effects

description: Floraspring Weight loss capsules have twenty times the antioxidants of vitamin E. The antioxidants in Floraspring Weight lose Floraspring Weight lose capsules act on free radicals that are the main causes of aging and disease in the body. Floraspring Weight loses Floraspring Weight loss capsules also strengthens your immune system to keep you from becoming ill.
Television and adolescent viewers : memory for program content, judgements of characters and realism of programs
Creators: name: Paterson, Barbara
Publisher: name: Monash University
Year: 2021

description: This thesis was scanned from the print manuscript for digital preservation and is copyright the author.
 Researchers can access this thesis by asking their local university, institution or public library to
 make a request on their behalf. Monash staff and postgraduate students can use the link in the Reference field.
The Optional Prisoner's Dilemma in a Spatial Environment: Coevolving Game Strategy and Link Weights
Creators: name: Cardinot, Marcos
name: O'Riordan, Colm
name: Griffith, Josephine
Publisher: name: arXiv
Year: 2016
Subjects: subject: Neural and Evolutionary Computing (cs.NE)
subject: Multiagent Systems (cs.MA)
subject: Dynamical Systems (math.DS)
subject: FOS: Computer and information sciences
subject: FOS: Mathematics

description: In this paper, the Optional Prisoner's Dilemma game in a spatial environment, with coevolutionary rules for both the strategy and network links between agents, is studied. Using a Monte Carlo simulation approach, a number of experiments are performed to identify favourable configurations of the environment for the emergence of cooperation in adverse scenarios. Results show that abstainers play a key role in the protection of cooperators against exploitation from defectors. Scenarios of cyclic competition and of full dominance of cooperation are also observed. This work provides insights towards gaining an in-depth understanding of the emergence of cooperative behaviour in real-world systems.
description: To be presented at ECTA 2016, Porto, Portugal
Graphs, Matrices, and the GraphBLAS: Seven Good Reasons
Creators: name: Kepner, Jeremy
name: Bader, David
name: Buluc, Aydın
name: Gilbert, John
name: Mattson, Timothy
name: Meyerhenke, Henning
Publisher: name: arXiv
Year: 2015
Subjects: subject: Distributed, Parallel, and Cluster Computing (cs.DC)
subject: FOS: Computer and information sciences

description: The analysis of graphs has become increasingly important to a wide range of applications. Graph analysis presents a number of unique challenges in the areas of (1) software complexity, (2) data complexity, (3) security, (4) mathematical complexity, (5) theoretical analysis, (6) serial performance, and (7) parallel performance. Implementing graph algorithms using matrix-based approaches provides a number of promising solutions to these challenges. The GraphBLAS standard (istc-bigdata.org/GraphBlas) is being developed to bring the potential of matrix based graph algorithms to the broadest possible audience. The GraphBLAS mathematically defines a core set of matrix-based graph operations that can be used to implement a wide class of graph algorithms in a wide range of programming environments. This paper provides an introduction to the GraphBLAS and describes how the GraphBLAS can be used to address many of the challenges associated with analysis of graphs.
description: 10 pages; International Conference on Computational Science workshop on the Applications of Matrix Computational Methods in the Analysis of Modern Data
Exponentially small asymptotic formulas for the length spectrum in some billiard tables
Creators: name: Martín, Pau
name: Tamarit-Sariol, Anna
name: Ramírez-Ros, Rafael
Publisher: name: arXiv
Year: 2015
Subjects: subject: Dynamical Systems (math.DS)
subject: FOS: Mathematics

description: Let $q \ge 3$ be a period. There are at least two $(1,q)$-periodic trajectories inside any smooth strictly convex billiard table, and all of them have the same length when the table is an ellipse or a circle. We quantify the chaotic dynamics of axisymmetric billiard tables close to their borders by studying the asymptotic behavior of the differences of the lengths of their axisymmetric $(1,q)$-periodic trajectories as $q \to +\infty$. Based on numerical experiments, we conjecture that, if the billiard table is a generic axisymmetric analytic strictly convex curve, then these differences behave asymptotically like an exponentially small factor $q^{-3} e^{-r q}$ times either a constant or an oscillating function, and the exponent $r$ is half of the radius of convergence of the Borel transform of the well-known asymptotic series for the lengths of the $(1,q)$-periodic trajectories. Our experiments are restricted to some perturbed ellipses and circles, which allows us to compare the numerical results with some analytical predictions obtained by Melnikov methods and also to detect some non-generic behaviors due to the presence of extra symmetries. Our computations require a multiple-precision arithmetic and have been programmed in PARI/GP.
description: 21 pages, 37 figures
M@TE - Monitoring at TeV Energies
Creators: name: Dorner, Daniela
name: Bretz, Thomas
name: Gonzalez, Magdalena
name: Alfaro, Ruben
name: Tovmassian, Gagik
Publisher: name: arXiv
Year: 2016
Subjects: subject: Instrumentation and Methods for Astrophysics (astro-ph.IM)
subject: High Energy Astrophysical Phenomena (astro-ph.HE)
subject: FOS: Physical sciences

description: Blazars are extremely variable objects emitting radiation across the electromagnetic spectrum and showing variability on time scales from minutes to years. For the understanding of the emission mechanisms, simultaneous multi-wavelength observations are crucial. Various models for flares predict simultaneous flux increases in the X-ray and gamma-ray band or more complex variability patterns, depending on the dominant process responsible for the gamma-ray emission. Monitoring at TeV energies is providing important information to distinguish between different models. To study duty cycle and variability time scales of an object, an unbiased data sample is essential, and good sensitivity and continuous monitoring are needed to resolve smaller time scales. A dedicated long-term monitoring program at TeV energies has been started by the FACT project. Its success clearly illustrated that the usage of silicon based photo sensors (SIPMs) is ideal for long-term monitoring. They provide not only an excellent and stable detector performance, but also allow for observations during bright ambient light minimizing observational gaps and increasing the instrument's duty cycle. The observation time in a single longitude is limited to 6 hours. To study typical variability time scales of few hours to one day, the ultimate goal is 24/7 monitoring with a network of small telescopes around the globe (DWARF project). The installation of an Imaging Air Cherenkov Telescope is planned in San Pedro Martir, Mexico. For the M@TE (Monitoring at TeV energies) telescope, a mount from a previous experiment is being refurbished to be equipped with a camera using the new generation of SiPMs. In the presentation, the status of the M@TE project will be reported outlining the scientific potential, including the possibility to extend monitoring campaigns to 12 hours by coordinated observations together with FACT.
description: 5 pages, 1 figure. Contribution to the 6th International Symposium on High Energy Gamma-Ray Astronomy (Gamma2016), Heidelberg, Germany. To be published in the AIP Conference Proceedings
The billiard inside an ellipse deformed by the curvature flow
Creators: name: Damasceno, Josue
name: Carneiro, Mario J. Dias
name: Ramirez-Ros, Rafael
Publisher: name: arXiv
Year: 2015
Subjects: subject: Dynamical Systems (math.DS)
subject: FOS: Mathematics
subject: 37E40, 37J45, 37B40, 53C44

description: The billiard dynamics inside an ellipse is integrable. It has zero topological entropy, four separatrices in the phase space, and a continuous family of convex caustics: the confocal ellipses. We prove that the curvature flow destroys the integrability, increases the topological entropy, splits the separatrices in a transverse way, and breaks all resonant convex caustics.
description: 13 pages, 1 figure
Tighter Uncertainty and Reverse Uncertainty Relations
Creators: name: Mondal, Debasis
name: Bagchi, Shrobona
name: Pati, Arun Kumar
Publisher: name: arXiv
Year: 2016
Subjects: subject: Quantum Physics (quant-ph)
subject: FOS: Physical sciences

description: We prove a few novel state-dependent uncertainty relations for product as well the sum of variances of two incompatible observables. These uncertainty relations are shown to be tighter than the Roberson-Schrödinger uncertainty relation and other ones existing in the current literature. Also, we derive state dependent upper bound to the sum and the product of variances using the reverse Cauchy-Schwarz inequality and the Dunkl-Williams inequality. Our results suggest that not only we cannot prepare quantum states for which two incompatible observables can have sharp values, but also we have both, lower and upper limits on the variances of quantum mechanical observables at a fundamental level.
description: 4+\epsilon, 4 figures, comments are welcome
title: Юридическая природа Кодекса профессиональной этики адвоката
Creators: name: Фишман, Мария
Publisher: name: Новгородский государственный университет имени Ярослава Мудрого (НовГУ)
Year: 2022

description: Статья посвящена изучению юридической природы норм Кодекса профессиональной этики адвоката, а также анализу пределов его действия. Автором проанализирована сфера действия Кодекса и вопросы обязательности соблюдения его норм за рамками профессиональных отношений адвоката. На примере привлечения к дисциплинарной ответственности за высказывание адвокатом мнения по поводу деятельности органов адвокатского сообщества, автор приходит к выводу о недопустимости ограничения частной жизни адвоката и возможности реализации им конституционных свобод рамками Кодекса.
Environmental constraints affect underground reproduction of the common toad (Bufo bufo)
Creators: name: P. Török-Oance, Rodica
name: F. Török-Oance, Marcel
Publisher: name: Brill Online
Year: 2023
Subjects: Ecology not elsewhere classified

description: The common toad (Bufo bufo) is a widespread species in Europe, with accidental occurrence in caves. This study reports the first case of breeding of B. bufo in a natural cave in the Carpathian Mountains. The breeding activity was observed at the end of May and the beginning of June. We identified pairs of common toads in axillary amplexus, egg strings and tadpoles up to a distance of 97 m inside the cave. We hypothesized that there is an active selection of some cave sites as breeding habitat and that the egg deposition is not randomly distributed inside the cave. In 25 sample points, we recorded ten cave environmental features and we assessed the relationship between egg strings presence and environmental features by performing a bias reduction in binomial-response generalized linear model. The results revealed that the strongest ecological factor determining the selection of breeding areas inside the cave was water flow velocity. The presence of light, although an important environmental feature, was not the most determining factor in breeding site selection, as toads successfully entered in completely dark environments to lay eggs in hydrologically favourable places. This study provides new information about the cave breeding of Bufo bufo and highlights the environmental features determining the common toad’s breeding site selection.
John Dewey and moral education in a pluralistic situation [Manuscript]
Creators: name: Norman, John W.
Publisher: name: Monash University
Year: 2021

description: This thesis was scanned from the print manuscript for digital preservation and is copyright the author.
 Researchers can access this thesis by asking their local university, institution or public library to
 make a request on their behalf. Monash staff and postgraduate students can use the link in the Reference field.
Regularity of weak minimizers of the K-energy and applications to properness and K-stability
Creators: name: Berman, Robert J.
name: Darvas, Tamás
name: Lu, Chinh H.
Publisher: name: arXiv
Year: 2016
Subjects: subject: Differential Geometry (math.DG)
subject: Complex Variables (math.CV)
subject: FOS: Mathematics

description: Let $(X,ω)$ be a compact Kähler manifold and $\mathcal H$ the space of Kähler metrics cohomologous to $ω$. If a cscK metric exists in $\mathcal H$, we show that all finite energy minimizers of the extended K-energy are smooth cscK metrics, partially confirming a conjecture of Y.A. Rubinstein and the second author. As an immediate application, we obtain that existence of a cscK metric in $\mathcal H$ implies J-properness of the K-energy, thus confirming one direction of a conjecture of Tian. Exploiting this properness result we prove that an ample line bundle $(X,L)$ admitting a cscK metric in $c_1(L)$ is $K$-polystable.
description: v1 Comments welcome v2 New introduction and references added v3 Final version. Preliminaries section added. Some notation changed. No other changes
Effective results for discriminant equations over finitely generated domains
Creators: name: Evertse, Jan-Hendrik
name: Györy, Kálmán
Publisher: name: arXiv
Year: 2016
Subjects: subject: Number Theory (math.NT)
subject: FOS: Mathematics
subject: 11D99, 11D41

description: Let $A$ be an integral domain with quotient field $K$ of characteristic $0$ that is finitely generated as a $\mathbb{Z}$-algebra. Denote by $D(F)$ the discriminant of a polynomial $F\in A[X]$. Further, given a finite etale algebra $Ω$, we denote by $D_{Ω/K}(α)$ the discriminant of $α$ over $K$. For non-zero $δ\in A$, we consider equations \[ D(F)=δ\] to be solved in monic polynomials $F\in A[X]$ of given degree $n\geq 2$ having their zeros in a given finite extension field $G$ of $K$, and \[ D_{Ω/K}(α)=δ\,\,\mbox{ in } α\in O, \] where $O$ is an $A$-order of $Ω$, i.e., a subring of the integral closure of $A$ in $Ω$ that contains $A$ as well as a $K$-basis of $Ω$. In our book ``Discriminant Equations in Diophantine Number Theory, which will be published by Cambridge University Press we proved that if $A$ is effectively given in a well-defined sense and integrally closed, then up to natural notions of equivalence the above equations have only finitely many solutions, and that moreover, a full system of representatives for the equivalence classes can be determined effectively. In the present paper, we extend these results to integral domains $A$ that are not necessarily integrally closed.
description: 20 pages
A minimum principle for Lagrangian graphs
Creators: name: Darvas, Tamás
name: Rubinstein, Yanir A.
Publisher: name: arXiv
Year: 2016
Subjects: subject: Symplectic Geometry (math.SG)
subject: Analysis of PDEs (math.AP)
subject: FOS: Mathematics

description: The classical minimum principle is foundational in convex and complex analysis and plays an important role in the study of the real and complex Monge-Ampere equations. This note establishes a minimum principle in Lagrangian geometry. This principle relates the classical Lagrangian angle of Harvey-Lawson and the space-time Lagrangian angle introduced recently by Rubinstein-Solomon. As an application, this gives a new formula for solutions of the degenerate special Lagrangian equation in space-time in terms of the (time) partial Legendre transform of a family of solutions of obstacle problems for the (space) non-degenerate special Lagrangian equation.
First Study of Combined Blazar Light Curves with FACT and HAWC
Creators: name: Dorner, Daniela
name: Lauer, Robert J.
name: :
name: Adam, Jan
name: Ahnen, Max
name: Baack, Dominik
name: Balbo, Matteo
name: Bergmann, Matthias
name: Biland, Adrian
name: Blank, Michael
name: Bretz, Thomas
name: Brügge, Kai
name: Buss, Jens
name: Dmytiiev, Anton
name: Einecke, Sabrina
name: Hempfling, Christina
name: Hildebrand, Dorothee
name: Hughes, Gareth
name: Linhoff, Lena
name: Mannheim, Karl
name: Müller, Sebastian
name: Neise, Dominik
name: Neronov, Andrii
name: Noethe, Maximilian
name: Paravac, Aleksander
name: Pauss, Felicitas
name: Rhode, Wolfgang
name: Shukla, Amit
name: Temme, Fabian
name: Thaele, Julia
name: Walter, Roland
Publisher: name: arXiv
Year: 2016
Subjects: subject: High Energy Astrophysical Phenomena (astro-ph.HE)
subject: FOS: Physical sciences

description: For studying variable sources like blazars, it is crucial to achieve unbiased monitoring, either with dedicated telescopes in pointing mode or survey instruments. At TeV energies, the High Altitude Water Cherenkov (HAWC) observatory monitors approximately two thirds of the sky every day. It uses the water Cherenkov technique, which provides an excellent duty cycle independent of weather and season. The First G-APD Cherenkov Telescope (FACT) monitors a small sample of sources with better sensitivity, using the imaging air Cherenkov technique. Thanks to its camera with silicon-based photosensors, FACT features an excellent detector performance and stability and extends its observations to times with strong moonlight, increasing the duty cycle compared to other imaging air Cherenkov telescopes. As FACT and HAWC have overlapping energy ranges, a joint study can exploit the longer daily coverage given that the observatories' locations are offset by 5.3 hours. Furthermore, the better sensitivity of FACT adds a finer resolution of features on hour-long time scales, while the continuous duty cycle of HAWC ensures evenly sampled long-term coverage. Thus, the two instruments complement each other to provide a more complete picture of blazar variability. In this presentation, the first joint study of light curves from the two instruments will be shown, correlating long-term measurements with daily sampling between air and water Cherenkov telescopes. The presented results focus on the study of the variability of the bright blazars Mrk 421 and Mrk 501 during the last two years featuring various flaring activities.
description: 6 pages, 2 figures. Contribution to the 6th International Symposium on High Energy Gamma-Ray Astronomy (Gamma2016), Heidelberg, Germany. To be published in the AIP Conference Proceedings
Gluten-free bread quality enhancement by sugar beet fibre application
Creators: name: Marijana, Djordjević
name: Dragana, Šoronja-Simović
name: Ivana, Nikolić
name: Miljana, Djordjević
name: Zita, Šereš
name: Nikola, Maravić
Publisher: name: Zenodo
Year: 2018
Subjects: Sugar beet fibre
Gluten-free bread
Bread quality
Sensory evaluation

description: The food industry faces major challenges in gluten-free (GF) bread production especially in terms of bread quality and nutritional adequacy. GF breads available on the market usually have numerous quality defects including reduced volume, poorly developed cell structure, a dry, crumbly texture and poor sensory characteristics. To address aforementioned technological problems dietary fibres (DF) can be applied in GF formulations considering their hydration and gel forming ability, textural and thickening effects. Taking into account proved DF positive health outcomes it will be possible to obtain a new functional product with an improved nutritive and technological profile that will satisfy the needs of consumers in the health and hedonistic sense.
 In this regard presented study aims to show how a fibrous by-product from sugar beet processing (sugar beet fibre (SBF) obtained from sugar beet pulp) can potentially be used to improve the GF bread nutritional quality while not compromising on the bread properties (volume, texture, colour) and sensory acceptability. Experiments were performed according to Box-Behnken experimental design, with independent variables: quantity of SBF (3, 5, and 7% on maize flour basis), quantity of hydroxypropylmethylcellulose (HPMC) (2, 3 and 4% on maize flour basis) and quantity of water (210, 220 and 230% on maize flour basis).
 SBF application slightly increased GF bread loaf volume in formulations with medium and high HPMC content while simultaneously decreased crumb hardness. Crumb brightness (parameter L*) was not affected by SBF addition. GF breads formulated with 4% HPMC and 3, 5, 7% SBF received the highest scores upon sensory evaluation (36.8–40.0 points) and had excellent quality. The aforementioned GF breads had fine taste, soft crumb texture with medium size air pores of good uniformity, yellow colour, fresh appearance and high loaf volumes.
Stability of the phase motion in race-track microtons
Creators: name: Kubyshin, Yu. A.
name: Larreal, O.
name: Ramírez-Ros, R.
name: Seara, T. M.
Publisher: name: arXiv
Year: 2016
Subjects: subject: Dynamical Systems (math.DS)
subject: Accelerator Physics (physics.acc-ph)
subject: FOS: Mathematics
subject: FOS: Physical sciences

description: We model the phase oscillations of electrons in race-track microtrons by means of an area preserving map with a fixed point at the origin, which represents the synchronous trajectory of a reference particle in the beam. We study the nonlinear stability of the origin in terms of the synchronous phase -- the phase of the synchronous particle at the injection. We estimate the size and shape of the stability domain around the origin, whose main connected component is enclosed by the last rotational invariant curve. We describe the evolution of the stability domain as the synchronous phase varies. Besides, we approximate some rotational invariant curves by level sets of certain Hamiltonians. Finally, we clarify the role of the stable and unstable invariant curves of some hyperbolic (fixed or periodic) points.
description: 21 pages, 17 figures
Letter from Phyllis Howells to John Betjeman, February 17, 1967
Creators: name: Howells, Phyllis
Publisher: name: University of Victoria Libraries
Year: 2023
Subjects: subject: Betjeman, John, 1906-1984
valueUri: http://id.worldcat.org/fast/1427507
subject: Authors, English--Correspondence
valueUri: http://id.worldcat.org/fast/821953
subject: Authors
valueUri: http://id.worldcat.org/fast/821688
subject: Modernism (Literature)
valueUri: http://id.worldcat.org/fast/1024455
subject: Television journalists
valueUri: http://id.worldcat.org/fast/1146949
subject: Poets
valueUri: http://id.worldcat.org/fast/1067778
subject: Poets, English
valueUri: http://id.worldcat.org/fast/1067870
subject: Howells, Phyllis
subject: Authors, English
valueUri: http://id.worldcat.org/fast/821945
subject: Abbey Lawn Trust (Tewkesbury, England)
subject: Literature, Modern
valueUri: http://id.worldcat.org/fast/1000172

description: Correspondence between John Betjeman and Phyllis Howells. Howells writes to Betjeman and forwards a letter on behalf of the Abbey Lawn Trust. They invite him to a luncheon and public meeting regarding an appeal they are launching to raise funds for restoration.
The use of Markov and other models in planning in tertiary institutions in Victoria
Creators: name: Nicholls, Miles G.
Publisher: name: Monash University
Year: 2021

description: This thesis was scanned from the print manuscript for digital preservation and is copyright the author.
 Researchers can access this thesis by asking their local university, institution or public library to
 make a request on their behalf. Monash staff and postgraduate students can use the link in the Reference field.
S-parts of values of univariate polynomials, binary forms and decomposable forms at integral points
Creators: name: Bugeaud, Yann
name: Evertse, Jan-Hendrik
name: Győry, Kálmán
Publisher: name: arXiv
Year: 2017
Subjects: subject: Number Theory (math.NT)
subject: FOS: Mathematics
subject: 11D45, 11D57, 11D59, 11J86, 11J87

description: Let $S$ be a finite set of primes. The $S$-part $[m]_S$ of a non-zero integer $m$ is the largest positive divisor of $m$ that is composed of primes from $S$. In 2013, Gross and Vincent proved that if $f(X)$ is a polynomial with integer coefficients and with at least two roots in the complex numbers, then for every integer $x$ at which $f(x)$ is non-zero, we have (*) $[f(x)]_S\leq c\cdot |f(x)|^d$, where $c$ and $d$ are effectively computable and $d<1$. Their proof uses Baker-type estimates for linear forms in complex logarithms of algebraic numbers. As an easy application of the $p$-adic Thue-Siegel-Roth theorem we show that if $f(X)$ has degree $n\geq 2$ and no multiple roots, then an inequality such as (*) holds for all $d>1/n$, provided we do not require effectivity of $c$. Further, we show that such an inequality does not hold anymore with $d=1/n$ and sufficiently small $c$. In addition we prove a density result, giving for every $ε>0$ an asymptotic estimate with the right order of magnitude for the number of integers $x$ with absolute value at most $B$ such that $f(x)$ has $S$-part at least $|f(x)|^ε$. The result of Gross and Vincent, as well as the other results mentioned above, are generalized to values of binary forms and decomposable forms at integral points. Our main tools are Baker type estimates for linear forms in complex and $p$-adic logarithms, the $p$-adic Subspace Theorem of Schmidt and Schlickewei, and a recent general lattice point counting result of Barroero and Widmer.
description: 42 pages
Gluten-free bread quality enhancement by sugar beet fibre application
Creators: name: Marijana, Djordjević
name: Dragana, Šoronja-Simović
name: Nikolić Ivana
name: Miljana, Djordjević
name: Šereš Zita
name: Maravić Nikola
Publisher: name: Zenodo
Year: 2018
Subjects: Sugar beet fibre
Gluten-free bread
Bread quality
Sensory evaluation

description: The food industry faces major challenges in gluten-free (GF) bread production especially in terms of bread quality and nutritional adequacy. GF breads available on the market usually have numerous quality defects including reduced volume, poorly developed cell structure, a dry, crumbly texture and poor sensory characteristics. To address aforementioned technological problems dietary fibres (DF) can be applied in GF formulations considering their hydration and gel forming ability, textural and thickening effects. Taking into account proved DF positive health outcomes it will be possible to obtain a new functional product with an improved nutritive and technological profile that will satisfy the needs of consumers in the health and hedonistic sense.
 In this regard presented study aims to show how a fibrous by-product from sugar beet processing (sugar beet fibre (SBF) obtained from sugar beet pulp) can potentially be used to improve the GF bread nutritional quality while not compromising on the bread properties (volume, texture, colour) and sensory acceptability. Experiments were performed according to Box-Behnken experimental design, with independent variables: quantity of SBF (3, 5, and 7% on maize flour basis), quantity of hydroxypropylmethylcellulose (HPMC) (2, 3 and 4% on maize flour basis) and quantity of water (210, 220 and 230% on maize flour basis).
 SBF application slightly increased GF bread loaf volume in formulations with medium and high HPMC content while simultaneously decreased crumb hardness. Crumb brightness (parameter L*) was not affected by SBF addition. GF breads formulated with 4% HPMC and 3, 5, 7% SBF received the highest scores upon sensory evaluation (36.8–40.0 points) and had excellent quality. The aforementioned GF breads had fine taste, soft crumb texture with medium size air pores of good uniformity, yellow colour, fresh appearance and high loaf volumes.
CGC/saturation approach for high energy soft interactions: `soft' Pomeron structure and $v_{n}$ in hadron and nucleus collisions from Bose-Einstein correlation
Creators: name: Gotsman, E.
name: Levin, E.
name: Maor, U.
Publisher: name: arXiv
Year: 2016
Subjects: subject: High Energy Physics - Phenomenology (hep-ph)
subject: FOS: Physical sciences

description: In the framework of our model of soft interactions at high energy based on CGC/saturation approach,we show that Bose-Einstein correlations of identical gluons lead to large values of $v_n$. We demonstrate how three dimensional scales of high energy interactions: hadron radius, typical size of the wave function in diffractive production of small masses (size of the constituent quark), and the saturation momentum, influence the values of BE correlations, and in particular, the values of $v_n$. Our calculation shows that the structure of the `dressed' Pomeron leads to values of $v_n$ which are close to experimental values for proton-proton scattering, 20\% smaller than the observed values for proton-lead collisions, and close to lead-lead collisions for 0-10\% centrality. Bearing this result in mind, we conclude that it is premature to consider, that the appearance of long range rapidity azimuthal correlations are due only to the hydrodynamical behaviour of the quark-gluon plasma.
description: 26pp. 25 figures in .eps files
ESR study of atomic hydrogen and tritium in solid T$_{2}$ and T$_{2}$:H$_{2}$ matrices below 1K
Creators: name: Sheludiakov, S.
name: Ahokas, J.
name: Järvinen, J.
name: Vainio, O.
name: Lehtonen, L.
name: Zvezdov, D.
name: Vasiliev, S.
name: Lee, D. M.
name: Khmelenko, V. V.
Publisher: name: arXiv
Year: 2016
Subjects: subject: Other Condensed Matter (cond-mat.other)
subject: Atomic Physics (physics.atom-ph)
subject: FOS: Physical sciences

description: We report on the first ESR study of atomic hydrogen and tritium stabilized in a solid T$_{2}$ and T$_{2}$:H$_{2}$ matrices down to 70$\,$mK. The concentrations of T atoms in pure T$_{2}$ approached $2\times10^{20}$cm$^{-3}$ and record-high concentrations of H atoms $\sim1\times10^{20}$cm$^{-3}$ were reached in T$_{2}$:H$_{2}$ solid mixtures where a fraction of T atoms became converted into H due to the isotopic exchange reaction T+H$_2\rightarrow$TH+H. The maximum concentrations of unpaired T and H atoms was limited by their recombination which becomes enforced by efficient atomic diffusion due to a presence of a large number of vacancies and phonons generated in the matrices by $β$-particles. Recombination also appeared in an explosive manner both being stimulated and spontaneously in thick films where sample cooling was insufficient. We suggest that the main mechanism for H and T migration is physical diffusion related to tunneling or hopping to vacant sites in contrast to isotopic chemical reactions which govern diffusion of H and D atoms created in H$_{2}$ and D$_{2}$ matrices by other methods.
Hamiltonian approach to 2nd order gauge invariant cosmological perturbations
Creators: name: Domènech, Guillem
name: Sasaki, Misao
Publisher: name: arXiv
Year: 2017
Subjects: subject: General Relativity and Quantum Cosmology (gr-qc)
subject: Cosmology and Nongalactic Astrophysics (astro-ph.CO)
subject: FOS: Physical sciences

description: In view of growing interest in tensor modes and their possible detection, we clarify the definition of tensor modes up to 2nd order in perturbation theory within the Hamiltonian formalism. Like in gauge theory, in cosmology the Hamiltonian is a suitable and consistent approach to reduce the gauge degrees of freedom. In this paper we employ the Faddeev-Jackiw method of Hamiltonian reduction. An appropriate set of gauge invariant variables that describe the dynamical degrees of freedom may be obtained by suitable canonical transformations in the phase space. We derive a set of gauge invariant variables up to 2nd order in perturbation expansion and for the first time we reduce the 3rd order action without adding gauge fixing terms. In particular, we are able to show the relation between the uniform-$ϕ$ and Newtonian slicings, and study the difference in the definition of tensor modes in these two slicings.
description: Revised version. v3: minor typos corrected
Letter from Lord Beveridge to John Betjeman, October 04, 1961
Creators: name: Beveridge, William Henry Beveridge, Baron, 1879-1963
Publisher: name: University of Victoria Libraries
Year: 2023
Subjects: subject: Authors
valueUri: http://id.worldcat.org/fast/821688
subject: Poets, English
valueUri: http://id.worldcat.org/fast/1067870
subject: Beveridge, William Henry Beveridge, Baron, 1879-1963
valueUri: http://id.worldcat.org/fast/2719
subject: Modernism (Literature)
valueUri: http://id.worldcat.org/fast/1024455
subject: Literature, Modern
valueUri: http://id.worldcat.org/fast/1000172
subject: Television journalists
valueUri: http://id.worldcat.org/fast/1146949
subject: Authors, English--Correspondence
valueUri: http://id.worldcat.org/fast/821953
subject: Betjeman, John, 1906-1984
valueUri: http://id.worldcat.org/fast/1427507
subject: Authors, English
valueUri: http://id.worldcat.org/fast/821945
subject: Poets
valueUri: http://id.worldcat.org/fast/1067778

description: Correspondence between John Betjeman and Lord Beveridge. Lord Beveridge invites Betjeman to a meeting at the House of Lords, where he will talk about loneliness in old age. He encloses a pamphlet he prepared earlier for the Abbeyfield Society.