cometadata/datacite-rtg-text-other-reclassification-records huggingface dataset:
Multipliers and operator space structure of weak product spaces
Creators: name: Clouâtre, Raphaël
name: Hartz, Michael
Publisher: name: arXiv
Year: 2019
Subjects: subject: Functional Analysis (math.FA)
subject: Operator Algebras (math.OA)
subject: FOS: Mathematics
subject: Primary 46E22, Secondary 46L07, 47A20

description: In the theory of reproducing kernel Hilbert spaces, weak product spaces generalize the notion of the Hardy space $H^1$. For complete Nevanlinna-Pick spaces $\mathcal H$, we characterize all multipliers of the weak product space $\mathcal H \odot \mathcal H$. In particular, we show that if $\mathcal H$ has the so-called column-row property, then the multipliers of $\mathcal H$ and of $\mathcal H \odot \mathcal H$ coincide. This result applies in particular to the classical Dirichlet space and to the Drury-Arveson space on a finite dimensional ball. As a key device, we exhibit a natural operator space structure on $\mathcal H \odot \mathcal H$, which enables the use of dilations of completely bounded maps.
description: 21 pages
Dilation theory in finite dimensions and matrix convexity
Creators: name: Hartz, Michael
name: Lupini, Martino
Publisher: name: arXiv
Year: 2019
Subjects: subject: Functional Analysis (math.FA)
subject: Operator Algebras (math.OA)
subject: FOS: Mathematics
subject: Primary: 47A20, Secondary 47L07, 47L07

description: We establish a finite-dimensional version of the Arveson-Stinespring dilation theorem for unital completely positive maps on operator systems. This result can be seen as a general principle to deduce finite-dimensional dilation theorems from their classical infinite-dimensional counterparts. In addition to providing unified proofs of known finite-dimensional dilation theorems, we establish finite-dimensional versions of Agler's theorem on rational dilation on an annulus, of Berger's dilation theorem for operators of numerical radius at most $1$, and of the Putinar-Sandberg numerical range dilation theorem. As a key tool, we prove versions of Carathéodory's and of Minkowski's theorem for matrix convex sets.
description: 27 pages; added more dilation theorems
Abstract 3-Rigidity and Bivariate $C_2^1$-Splines I: Whiteley's Maximality Conjecture
Creators: name: Clinch, Katie
name: Jackson, Bill
name: Tanigawa, Shin-ichi
Publisher: name: arXiv
Year: 2019
Subjects: subject: Combinatorics (math.CO)
subject: FOS: Mathematics

description: A conjecture of Graver from 1991 states that the generic $3$-dimensional rigidity matroid is the unique maximal abstract $3$-rigidity matroid with respect to the weak order on matroids. Based on a close similarity between the generic $d$-dimensional rigidity matroid and the generic $C_{d-2}^{d-1}$-cofactor matroid from approximation theory, Whiteley made an analogous conjecture in 1996 that the generic $C_{d-2}^{d-1}$-cofactor matroid is the unique maximal abstract $d$-rigidity matroid for all $d\geq 2$. We verify the case $d=3$ of Whiteley's conjecture in this paper. A key step in our proof is to verify a second conjecture of Whiteley that the `double V-replacement operation' preserves independence in the generic $C_2^1$-cofactor matroid.
Data and code for "Habitat changes explain shifts in bird community composition in abandoned military training areas: lessons for conservation"
Creators: name: Dvořáková, Lenka
name: Hanzelka, Jan
name: Romportl, Dušan
name: Reif, Jiří
Publisher: name: Zenodo
Year: 2024

description: The files are supporting material for the study "Habitat changes explain shifts in bird community composition in abandoned military training areas: lessons for conservation". They include the datasets (MTA_spec, MTA_envi, MTA_env_diff, MTA_spec_scors_RD1_trends), their description (MTA_metadata) and the R code used for their analysis (MTA_script).
Masticatory Muscle Responses to Mandibular Forward Positioning Appliances
Creators: name: Thongudomporn, Udom
Publisher: name: The Dental Association of Thailand
Year: 2020
Subjects: Electromyography
Masticatory Muscles
Orthodontic Appliances
Functional

description: Journal of The Dental Association of Thailand, 70, 2, 094-105
Management of a Traumatized Maxillary Left Central Incisor by Moving the other Central Incisor across the Midline
Creators: name: Liewsaitong, Pornhathai
Publisher: name: The Dental Association of Thailand
Year: 2020
Subjects: Midline crossing
Root resorption
Traumatized tooth

description: Journal of The Dental Association of Thailand, 70, 2, 106-116
The Lidov-Kozai Oscillation and Hugo von Zeipel
Creators: name: Ito, Takashi
name: Ohtsuka, Katsuhito
Publisher: name: arXiv
Year: 2019
Subjects: subject: Earth and Planetary Astrophysics (astro-ph.EP)
subject: FOS: Physical sciences

description: The so-called Lidov-Kozai oscillation is very well known and applied to various problems in solar system dynamics. This mechanism makes the orbital inclination and eccentricity of the perturbed body in the circular restricted three-body system oscillate with a large amplitude under certain conditions. It is widely accepted that the theoretical framework of this phenomenon was established independently in the early 1960s by a Soviet Union dynamicist (Michail L'vovich Lidov) and by a Japanese celestial mechanist (Yoshihide Kozai). A large variety of studies has stemmed from the original works by Lidov and Kozai, now having the prefix of "Lidov-Kozai" or "Kozai- Lidov." However, from a survey of past literature published in late nineteenth to early twentieth century, we have confirmed that there already existed a pioneering work using a similar analysis of this subject established in that period. This was accomplished by a Swedish astronomer, Edvard Hugo von Zeipel. In this monograph, we first outline the basic framework of the circular restricted three-body problem including typical examples where the Lidov-Kozai oscillation occurs. Then, we introduce what was discussed and learned along this line of studies from the early to mid-twentieth century by summarizing the major works of Lidov, Kozai, and relevant authors. Finally, we make a summary of von Zeipel's work, and show that his achievements in the early twentieth century already comprehended most of the fundamental and necessary formulations that the Lidov-Kozai oscillation requires. By comparing the works of Lidov, Kozai, and von Zeipel, we assert that the prefix "von Zeipel-Lidov-Kozai" should be used for designating this theoretical framework, and not just Lidov-Kozai or Kozai-Lidov.
description: 175 pages, 31 figures, 7 tables. Accepted for publication in Monogr. Environ. Earth and Planets. The abstract here is shortened due to the character limitation. Note that the publisher of this monograph went bankrupt, and the website disappeared in 2022 spring. The original DOI is no longer linked anywhere. We revised the Related DOI section with a new pointer to access the original material
Persistent Magnitude
Creators: name: Govc, Dejan
name: Hepworth, Richard
Publisher: name: arXiv
Year: 2019
Subjects: subject: Algebraic Topology (math.AT)
subject: Metric Geometry (math.MG)
subject: FOS: Mathematics
subject: 55N99 (Primary), 55N35, 51F99, 11A25 (Secondary)

description: In this paper we introduce the persistent magnitude, a new numerical invariant of (sufficiently nice) graded persistence modules. It is a weighted and signed count of the bars of the persistence module, in which a bar of the form $[a,b)$ in degree $d$ is counted with weight $(e^{-a}-e^{-b})$ and sign $(-1)^d$. Persistent magnitude has good formal properties, such as additivity with respect to exact sequences and compatibility with tensor products, and has interpretations in terms of both the associated graded functor, and the Laplace transform. Our definition is inspired by Otter's notion of blurred magnitude homology: we show that the magnitude of a finite metric space is precisely the persistent magnitude of its blurred magnitude homology. Turning this result on its head, we obtain a strategy for turning existing persistent homology theories into new numerical invariants by applying the persistent magnitude. We explore this strategy in detail in the case of persistent homology of Morse functions, and in the case of Rips homology.
description: 43 pages, 9 figures. v2: Modifications in response to referee comments. Final version, to appear in Journal of Pure and Applied Algebra
Hodge ideals of free divisors
Creators: name: Domínguez, Alberto Castaño
name: Macarro, Luis Narváez
name: Sevenheck, Christian
Publisher: name: arXiv
Year: 2019
Subjects: subject: Algebraic Geometry (math.AG)
subject: Complex Variables (math.CV)
subject: FOS: Mathematics
subject: 32C38, 14F10, 32S35, 32S40

description: We consider the Hodge filtration on the sheaf of meromorphic functions along free divisors for which the logarithmic comparison theorem holds. We describe the Hodge filtration steps as submodules of the order filtration on a cyclic presentation in terms of a special factor of the Bernstein-Sato polynomial of the divisor and we conjecture a bound for the generating level of the Hodge filtration. Finally, we develop an algorithm to compute Hodge ideals of such divisors and we apply it to some examples.
description: 43 pages, final version
On optimality of constants in the Little Grothendieck Theorem
Creators: name: Kalenda, Ondřej F. K.
name: Peralta, Antonio M.
name: Pfitzner, Hermann
Publisher: name: arXiv
Year: 2020
Subjects: subject: Operator Algebras (math.OA)
subject: FOS: Mathematics
subject: 46L70, 47A30, 17C65

description: We explore the optimality of the constants making valid the recently established Little Grothendieck inequality for JB$^*$-triples and JB$^*$-algebras. In our main result we prove that for each bounded linear operator $T$ from a JB$^*$-algebra $B$ into a complex Hilbert space $H$ and $\varepsilon>0$, there is a norm-one functional $φ\in B^*$ such that $$\|Tx\|\le(\sqrt{2}+\varepsilon)\|T\|\|x\|_φ\quad\mbox{ for }x\in B.$$ The constant appearing in this theorem improves the best value known up to date (even for C$^*$-algebras). We also present an easy example witnessing that the constant cannot be strictly smaller than $\sqrt2$, hence our main theorem is `asymptotically optimal'. For type I JBW$^*$-algebras we establish a canonical decomposition of normal functionals which may be used to prove the main result in this special case and also seems to be of an independent interest. As a tool we prove a measurable version of the Schmidt representation of compact operators on a Hilbert space.
description: 37 pages; we corrected some misprints, expanded one proof and updated references
Self-similar solution of a supercritical two-phase laminar mixing layer
Creators: name: Poblador-Ibanez, Jordi
name: Davis, Branson
name: Sirignano, William A.
Publisher: name: arXiv
Year: 2020
Subjects: subject: Fluid Dynamics (physics.flu-dyn)
subject: FOS: Physical sciences

description: Previous works for a liquid suddenly contacting a gas at a supercritical pressure show the coexistence of both phases and the generation of diffusion layers on both sides of the liquid-gas interface due to thermodynamic phase equilibrium. A related numerical study of a laminar mixing layer between the liquid and gas streams in the near field of the splitter plate suggests that mass, momentum and thermal diffusion layers evolve in a self-similar manner at very high pressures. In this paper, the high-pressure, two-phase, laminar mixing-layer equations are recast in terms of a similarity variable. A liquid hydrocarbon and gaseous oxygen are considered. Freestream conditions and proper matching conditions at the liquid-gas interface are applied. To solve the system of equations, a real-fluid thermodynamic model based on the Soave-Redlich-Kwong equation of state is selected. A comparison with results obtained by directly solving the laminar mixing-layer equations shows the validity of the similarity approach applied to non-ideal two-phase flows. Even when the gas is hotter than the liquid, condensation can occur at high pressures while heat conducts into the liquid. Finally, a generalized correlation is proposed to represent the evolution of the mixing layer thickness for different problem setups.
description: Submitted for publication in International Journal of Multiphase Flow. 40 pages, 21 figures
Sectional Impression Trays with An Interlocking Handle Using Implant Impression Components to Fabricate Interim Dentures for A Patient with Scleroderma-induced Microstomia
Creators: name: Aroonsang, Watcharapong
Publisher: name: The Dental Association of Thailand
Year: 2020
Subjects: Microstomia
Scleroderma
Sectional tray

description: Journal of The Dental Association of Thailand, 70, 2, 117-123
Efficacy and Safety of Umeclidinium Added to Fluticasone Propionate/Salmeterol in Patients with COPD: Results of Two Randomized, ­Double-Blind Studies
Creators: name: Siler, Thomas M.
name: Kerwin, Edward
name: Singletary, Karen
name: Brooks, Jean
name: Church, Alison
Publisher: name: Taylor & Francis
Year: 2015
Subjects: subject: 60506 Virology
subject: FOS: Biological sciences
subject: 111714 Mental Health
subject: FOS: Health sciences
subject: Cancer
subject: Developmental Biology
subject: Biological Sciences
subject: Immunology
subject: FOS: Clinical medicine
subject: Chemistry
subject: Pharmacology
subject: Physiology
subject: Cell Biology
subject: Medicine

description: Combinations of drugs with distinct and complementary mechanisms of action may offer improved efficacy in the treatment of chronic obstructive pulmonary disease (COPD). In two 12-week, double-blind, parallel-group studies, patients with COPD were randomized 1:1:1 to once-daily umeclidinium (UMEC; 62.5 μg and 125 μg) or placebo (PBO), added to twice-daily fluticasone propionate/salmeterol (FP/SAL; 250/50 μg). In both studies, the primary efficacy measure was trough forced expiratory volume in 1 second (FEV1) at Day 85. Secondary endpoints were weighted-mean (WM) FEV1 over 0–6 hours post-dose (Day 84) and rescue albuterol use. Health-related quality of life outcomes (St. George's Respiratory Questionnaire [SGRQ] and COPD assessment test [CAT]) were also examined. Safety was assessed throughout. Both UMEC+FP/SAL doses provided statistically significant improvements in trough FEV1 (Day 85: 0.127–0.148 L) versus PBO+FP/SAL. Similarly, both UMEC+FP/SAL doses provided statistically-significant improvements in 0–6 hours post-dose WM FEV1versus PBO+FP/SAL (Day 84: 0.144–0.165 L). Rescue use over Weeks 1–12 decreased with UMEC+FP/SAL in both studies versus PBO+FP/SAL (Study 1, 0.3 puffs/day [both doses]; Study 2, 0.5 puffs/day [UMEC 125+FP/SAL]). Decreases from baseline in CAT score were generally larger for both doses of UMEC+FP/SAL versus PBO+FP/SAL (except for Day 84 Study 2). In Study 1, no differences in SGRQ score were observed between UMEC+FP/SAL and PBO+FP/SAL; however, in Study 2, statistically significant improvements were observed with UMEC 62.5+FP/SAL (Day 28) and UMEC 125+FP/SAL (Days 28 and 84) versus PBO+FP/SAL. The incidence of on-treatment adverse events across all treatment groups was 37–41% in Study 1 and 36–38% in Study 2. Overall, these data indicate that the combination of UMEC+FP/SAL can provide additional benefits over FP/SAL alone in patients with COPD.
Blow-up phenomena in nonlocal eigenvalue problems: when theories of $L^1$ and $L^2$ meet
Creators: name: Chan, Hardy
name: Gómez-Castro, David
name: Vázquez, Juan Luis
Publisher: name: arXiv
Year: 2020
Subjects: subject: Analysis of PDEs (math.AP)
subject: Functional Analysis (math.FA)
subject: FOS: Mathematics
subject: 35R09 35R11 35D30 45C05

description: We develop a linear theory of very weak solutions for nonlocal eigenvalue problems $\mathcal L u = λu + f$ involving integro-differential operators posed in bounded domains with homogeneous Dirichlet exterior condition, with and without singular boundary data. We consider mild hypotheses on the Green's function and the standard eigenbasis of the operator. The main examples in mind are the fractional Laplacian operators. Without singular boundary datum and when $λ$ is not an eigenvalue of the operator, we construct an $L^2$-projected theory of solutions, which we extend to the optimal space of data for the operator $\mathcal L$. We present a Fredholm alternative as $λ$ tends to the eigenspace and characterise the possible blow-up limit. The main new ingredient is the transfer of orthogonality to the test function. We then extend the results to singular boundary data and study the so-called large solutions, which blow up at the boundary. For that problem we show that, for any regular value $λ$, there exist "large eigenfunctions" that are singular on the boundary and regular inside. We are also able to present a Fredholm alternative in this setting, as $λ$ approaches the values of the spectrum. We also obtain a maximum principle for weighted $L^1$ solutions when the operator is $L^2$-positive. It yields a global blow-up phenomenon as the first eigenvalue is approached from below. Finally, we recover the classical Dirichlet problem as the fractional exponent approaches one under mild assumptions on the Green's functions. Thus "large eigenfunctions" represent a purely nonlocal phenomenon.
description: The explicit constant in equation (2.3) (which is deduced in Lemma B.1) has been corrected from $\Gamma(s+1)^2$ to $\Gamma(s+1) \Gamma(s)$. The proof of Lemma B.1 has been slightly modified accordingly. It does not affect any of the other results in the text
Anti-biofilm Activity of Sericin Extract Coated on Titanium by Polyelectrolyte Multilayer Film Technique
Creators: name: Angwarawong, Thidarat
Publisher: name: The Dental Association of Thailand
Year: 2020
Subjects: Anti-biofilm activity
Sericin
Polyelectrolyte multilayers film
Titanium

description: Journal of The Dental Association of Thailand, 70, 2, 124-138
title: Prüfungsordnung für den Studiengang „Bauingenieurwesen" mit dem Abschluss „Master of Science" an der Technischen Universität Braunschweig, Fakultät für Architektur, Bauingenieurwesen und Umweltwissenschaften
Creators: name: :None
Publisher: name: Technische Universität Braunschweig. Fakultät 3
Year: 2017
Subjects: subject: Prüfungsordnung
subject: 379

description: Hochschulöffentliche Bekanntmachungen der Technischen Universität Braunschweig, vol. 1178
MatchboxNet: 1D Time-Channel Separable Convolutional Neural Network Architecture for Speech Commands Recognition
Creators: name: Majumdar, Somshubra
name: Ginsburg, Boris
Publisher: name: arXiv
Year: 2020
Subjects: subject: Audio and Speech Processing (eess.AS)
subject: FOS: Electrical engineering, electronic engineering, information engineering

description: We present an MatchboxNet - an end-to-end neural network for speech command recognition. MatchboxNet is a deep residual network composed from blocks of 1D time-channel separable convolution, batch-normalization, ReLU and dropout layers. MatchboxNet reaches state-of-the-art accuracy on the Google Speech Commands dataset while having significantly fewer parameters than similar models. The small footprint of MatchboxNet makes it an attractive candidate for devices with limited computational resources. The model is highly scalable, so model accuracy can be improved with modest additional memory and compute. Finally, we show how intensive data augmentation using an auxiliary noise dataset improves robustness in the presence of background noise.
Relationship between Symphysis Dimensions and Mandibular Incisors' Alveolar Bone Thickness in Different Vertical Skeletal Patterns
Creators: name: Uengkajornkul, Phuntin
Publisher: name: The Dental Association of Thailand
Year: 2020
Subjects: Alveolar bone thickness
Cone-beam computed tomography
Mandibular incisors
Mandibular symphysis
Vertical skeletal pattern

description: Journal of The Dental Association of Thailand, 70, 2, 139-149
The Effect of Various Types of Silane Coupling Agents on The Wettability of Hydrofluoric Acid-Etched/Unetched Lithium Disilicate Surfaces
Creators: name: Sriamporn, Tool
Publisher: name: The Dental Association of Thailand
Year: 2020
Subjects: Contact angle
Hydrofluoric acid
Lithium disilicate
Silane coupling agent
Surface treatment

description: Journal of The Dental Association of Thailand, 70, 2, 150-157
Efficacy and Safety of Umeclidinium Added to Fluticasone Propionate/Salmeterol in Patients with COPD: Results of Two Randomized, ­Double-Blind Studies
Creators: name: Siler, Thomas M.
name: Kerwin, Edward
name: Singletary, Karen
name: Brooks, Jean
name: Church, Alison
Publisher: name: Taylor & Francis
Year: 2016
Subjects: subject: Medicine
subject: Physiology
subject: FOS: Biological sciences
subject: Pharmacology
subject: 39999 Chemical Sciences not elsewhere classified
subject: FOS: Chemical sciences
subject: Immunology
subject: FOS: Clinical medicine
subject: 69999 Biological Sciences not elsewhere classified
subject: Developmental Biology
subject: Cancer
subject: 111714 Mental Health
subject: FOS: Health sciences
subject: 60506 Virology

description: Combinations of drugs with distinct and complementary mechanisms of action may offer improved efficacy in the treatment of chronic obstructive pulmonary disease (COPD). In two 12-week, double-blind, parallel-group studies, patients with COPD were randomized 1:1:1 to once-daily umeclidinium (UMEC; 62.5 μg and 125 μg) or placebo (PBO), added to twice-daily fluticasone propionate/salmeterol (FP/SAL; 250/50 μg). In both studies, the primary efficacy measure was trough forced expiratory volume in 1 second (FEV1) at Day 85. Secondary endpoints were weighted-mean (WM) FEV1 over 0–6 hours post-dose (Day 84) and rescue albuterol use. Health-related quality of life outcomes (St. George's Respiratory Questionnaire [SGRQ] and COPD assessment test [CAT]) were also examined. Safety was assessed throughout. Both UMEC+FP/SAL doses provided statistically significant improvements in trough FEV1 (Day 85: 0.127–0.148 L) versus PBO+FP/SAL. Similarly, both UMEC+FP/SAL doses provided statistically-significant improvements in 0–6 hours post-dose WM FEV1 versus PBO+FP/SAL (Day 84: 0.144–0.165 L). Rescue use over Weeks 1–12 decreased with UMEC+FP/SAL in both studies versus PBO+FP/SAL (Study 1, 0.3 puffs/day [both doses]; Study 2, 0.5 puffs/day [UMEC 125+FP/SAL]). Decreases from baseline in CAT score were generally larger for both doses of UMEC+FP/SAL versus PBO+FP/SAL (except for Day 84 Study 2). In Study 1, no differences in SGRQ score were observed between UMEC+FP/SAL and PBO+FP/SAL; however, in Study 2, statistically significant improvements were observed with UMEC 62.5+FP/SAL (Day 28) and UMEC 125+FP/SAL (Days 28 and 84) versus PBO+FP/SAL. The incidence of on-treatment adverse events across all treatment groups was 37–41% in Study 1 and 36–38% in Study 2. Overall, these data indicate that the combination of UMEC+FP/SAL can provide additional benefits over FP/SAL alone in patients with COPD.
title: Square pegs in round holes: a study around student aspiration in a high performing international school environment
Creators: name: Knight, John
Publisher: name: University of Reading
Year: 2022

description: This thesis explores the very high attendance rates at university by students from international schools in 
comparison to national figures in United Kingdom (UK) schools. It seeks to understand the factors around the 
student decision making process and how students make sense of these factors when deciding what to do after 
leaving school and when considering future career pathways.
The research followed an interpretive paradigm and uses both quantitative data in the form of a questionnaire 
to students from Years 5 to Year 13 (age 9-18) and then qualitative data in the form of focus groups with one 
group per year in the same age groups in one international school situated on mainland Europe with a primary 
and secondary section. The questionnaires explored student attitudes towards different career and study 
pathways while the focus groups then explored the responses to gain a deeper insight into student views.
The main conclusions of the study are that students in primary school see a variety of career options open to 
them on leaving school while this changes as the students’ progress through the school until, by Year 13, 
almost all students consider a professional career after attending university as the next step with many students 
inferring that university was their only option. Students in the study reported feelings of stress and anxiety due 
to the narrow options they felt were open to them and the fear of downward social mobility if they failed to 
achieve the goal of university attendance. Where students considered more than one option for their future 
career pathways this built in back up plans with these students reporting reduced feelings of anxiety.
This research suggests a new approach to Higher Education (HE) advice that would encourage a wider range of 
careers being promoted in international schools, particularly in more modern or arts related careers and at the 
same time developing transferable skills with students. Students should be encouraged to consider themselves 
progressing into different careers to prepare them for the changing nature of future careers and reduce fears 
around maintaining social position by offering several Higher Education and career pathways.
Quantum Discrete Levels of the Universe from the Early Trans-Planckian Vacuum to the Late Dark Energy
Creators: name: Sanchez, Norma G.
Publisher: name: arXiv
Year: 2020
Subjects: subject: General Physics (physics.gen-ph)
subject: FOS: Physical sciences
subject: 83C, 83F05, 83C45, 81T20

description: The standard model of the universe is further completed back in time before inflation in agreement with observations, classical-quantum gravity duality and quantum space-time. Quantum vacuum energy bends the space-time and produces a constant curvature de Sitter background. We link de Sitter universe and the cosmological constant to the (classical and quantum) harmonic oscillator. Quantum discrete cosmological levels are found: size, time, vacuum energy, Hubble constant and gravitational (Gibbons-Hawking) entropy from the very early trans-planckian vacuum to the classical today vacuum energy. For each level $n = 0, 1, 2,...$, the two: post and pre (trans)-planckian phases are covered: In the post-planckian universe, the levels (in planck units) are: Hubble constant $H_{n} = {1}/\sqrt{(2n + 1)}$, vacuum energy $Λ_{n} = 1/(2n + 1)$, entropy $S_n = (2n + 1)$. As $n$ increases, radius, mass and $S_n$ increase, $H_n$ and $Λ_n$ decrease and {\it consistently} the universe {\it classicalizes}. In the pre-planckian (trans-planckian) phase, the quantum levels are: $H_{Qn} = \sqrt{(2n + 1)},\; Λ_{Qn} = (2n + 1)/1,\; S_{Qn} = 1/(2n + 1)$, $Q$ denoting quantum. The $n$-levels cover {\it all} scales from the far past highest excited trans-planckian level $n = 10^{122}$ with finite curvature, $Λ_Q = 10^{122}$ and minimum entropy $S_Q = 10^{-122}$, $n$ decreases till the planck level $(n = 0)$ and enters the post-planckian phase e.g: $n = 1, 2,...,n_{inflation} = 10^{12},... ,n_{cmb} = 10^{114},...,n_{reoin} = 10^{118},...,n_{today} = 10^{122}$ with the most classical value $H_{today} = 10^{-61}$, $Λ_{today} = 10^{-122}$, $S_{today} = 10^{122}$. We implement the Snyder-Yang algebra in this context yielding a consistent group-theory realization of quantum discrete de Sitter space-time, classical-quantum gravity duality symmetry and a clarifying unifying picture.(Abridged)
description: Published version in Phys Rev D, 54 pages, 1 figure, new material. arXiv admin note: text overlap with arXiv:1912.06655
Beyond Data Samples: Aligning Differential Networks Estimation with Scientific Knowledge
Creators: name: Sekhon, Arshdeep
name: Wang, Zhe
name: Qi, Yanjun
Publisher: name: arXiv
Year: 2020
Subjects: subject: Machine Learning (cs.LG)
subject: Machine Learning (stat.ML)
subject: FOS: Computer and information sciences

description: Learning the differential statistical dependency network between two contexts is essential for many real-life applications, mostly in the high dimensional low sample regime. In this paper, we propose a novel differential network estimator that allows integrating various sources of knowledge beyond data samples. The proposed estimator is scalable to a large number of variables and achieves a sharp asymptotic convergence rate. Empirical experiments on extensive simulated data and four real-world applications (one on neuroimaging and three from functional genomics) show that our approach achieves improved differential network estimation and provides better supports to downstream tasks like classification. Our results highlight significant benefits of integrating group, spatial and anatomic knowledge during differential genetic network identification and brain connectome change discovery.
description: 9 pages of main draft; 25 pages of Appendix; 5 Tables ; 14 Figures ; Learning of Structure Difference between Two Graphical Models
Determination of Beta Decay Ground State Feeding of Nuclei of Importance for Reactor Applications
Creators: name: Guadilla, V.
name: Tain, J. L.
name: Algora, A.
name: Agramunt, J.
name: Jordan, D.
name: Monserrate, M.
name: Montaner-Pizá, A.
name: Orrigo, S. E. A.
name: Rubio, B.
name: Valencia, E.
name: Briz, J. A.
name: Cucoanes, A.
name: Estienne, M.
name: Fallot, M.
name: Meur, L. Le
name: Porta, A.
name: Shiba, T.
name: Zakari-Issoufou, A. -A.
name: Äystö, J.
name: Eronen, T.
name: Gorelov, D.
name: Hakala, J.
name: Jokinen, A.
name: Kankainen, A.
name: Kolhinen, V. S.
name: Koponen, J.
name: Moore, I. D.
name: Penttilä, H.
name: Pohjalainen, I.
name: Reinikainen, J.
name: Reponen, M.
name: Rinta-Antila, S.
name: Rytkönen, K.
name: Sonnenschein, V.
name: Voss, A.
name: Fraile, L. M.
name: Vedia, V.
name: Ganioğlu, E.
name: Gelletly, W.
name: Lebois, M.
name: Wilson, J. N.
name: Martinez, T.
name: Nácher, E.
name: Sonzogni, A. A.
Publisher: name: arXiv
Year: 2020
Subjects: subject: Nuclear Experiment (nucl-ex)
subject: FOS: Physical sciences

description: In $β$-decay studies the determination of the decay probability to the ground state of the daughter nucleus often suffers from large systematic errors. The difficulty of the measurement is related to the absence of associated delayed $γ$-ray emission. In this work we revisit the $4πγ-β$ method proposed by Greenwood and collaborators in the 1990s, which has the potential to overcome some of the experimental difficulties. Our interest is driven by the need to determine accurately the $β$-intensity distributions of fission products that contribute significantly to the reactor decay heat and to the antineutrinos emitted by reactors. A number of such decays have large ground state branches. The method is relevant for nuclear structure studies as well. Pertinent formulae are revised and extended to the special case of $β$-delayed neutron emitters, and the robustness of the method is demonstrated with synthetic data. We apply it to a number of measured decays that serve as test cases and discuss the features of the method. Finally, we obtain ground state feeding intensities with reduced uncertainty for four relevant decays that will allow future improvements in antineutrino spectrum and decay heat calculations using the summation method.
An $H^p$ scale for complete Pick spaces
Creators: name: Aleman, Alexandru
name: Hartz, Michael
name: McCarthy, John E.
name: Richter, Stefan
Publisher: name: arXiv
Year: 2020
Subjects: subject: Functional Analysis (math.FA)
subject: Complex Variables (math.CV)
subject: FOS: Mathematics
subject: 46E22

description: We define by interpolation a scale analogous to the Hardy $H^p$ scale for complete Pick spaces, and establish some of the basic properties of the resulting spaces, which we call $\mathcal{H}^p$. In particular, we obtain an $\mathcal{H}^p-\mathcal{H}^q$ duality and establish sharp pointwise estimates for functions in $\mathcal{H}^p$.
Trialities of $\mathcal{W}$-algebras
Creators: name: Creutzig, Thomas
name: Linshaw, Andrew R.
Publisher: name: arXiv
Year: 2020
Subjects: subject: Representation Theory (math.RT)
subject: High Energy Physics - Theory (hep-th)
subject: Quantum Algebra (math.QA)
subject: FOS: Mathematics
subject: FOS: Physical sciences

description: We prove the conjecture of Gaiotto and Rapčák that the $Y$-algebras $Y_{L,M,N}[ψ]$ with one of the parameters $L,M,N$ zero, are simple one-parameter quotients of the universal two-parameter $\mathcal{W}_{1+\infty}$-algebra, and satisfy a symmetry known as triality. These $Y$-algebras are defined as the cosets of certain non-principal $\mathcal{W}$-algebras and $\mathcal{W}$-superalgebras by their affine vertex subalgebras, and triality is an isomorphism between three such algebras. Special cases of our result provide new and unified proofs of many theorems and open conjectures in the literature on $\mathcal{W}$-algebras of type $A$. This includes (1) Feigin-Frenkel duality, (2) the coset realization of principal $\mathcal{W}$-algebras due to Arakawa and us, (3) Feigin and Semikhatov's conjectured triality between subregular $\mathcal{W}$-algebras, principal $\mathcal{W}$-superalgebras, and affine vertex superalgebras, (4) the rationality of subregular $\mathcal{W}$-algebras due to Arakawa and van Ekeren, (5) the identification of Heisenberg cosets of subregular $\mathcal{W}$-algebras with principal rational $\mathcal{W}$-algebras that was conjectured in the physics literature over 25 years ago. Finally, we prove the conjectures of Procházka and Rapčák on the explicit truncation curves realizing the simple $Y$-algebras as $\mathcal{W}_{1+\infty}$-quotients, and on their minimal strong generating types.
description: Final version, to appear in Cambridge Journal of Mathematics
Synthesis of pro-apoptotic indapamide derivatives as anticancer agents
Creators: name: Supuran, Claudiu T.
name: Yılmaz, Özgür
name: Turan, Suna Özbaş
name: Akbuğa, Jülide
name: Pınar Mega Tiber
name: Orun, Oya
name: Ş. Güniz Küçükgüzel
Publisher: name: Taylor & Francis
Year: 2015
Subjects: subject: Plant Biology
subject: FOS: Biological sciences
subject: Cancer
subject: Developmental Biology
subject: Biological Sciences
subject: Chemistry
subject: Earth and Environmental Sciences
subject: Biotechnology
subject: Pharmacology
subject: Molecular Biology
subject: Genetics
subject: Cell Biology
subject: Microbiology
subject: Biochemistry

description: 4-Chloro-3-({[(substitutedamino)carbonothioyl]amino}sulfonyl)-N-(2-methyl-2,3-dihydro-1H-indole-1-yl)benzamide (1–20) and 4-chloro-3-({[3-(substituted)-4-oxo-1,3-thiazolidine-2-ylidene]amino}sulfonyl)-N-(2-methyl-2,3-dihydro-1H-indole-1-yl)benzamide derivatives (21–31) were synthesized from 4-chloro-N-(2-methyl-2,3-dihydroindol-1-yl)-3-sulfamoylbenzamide (indapamide). 4-Chloro-3-({[(4-chlorophenyl) amino) carbonothioyl]amino}sulfonyl)-N-(2-methyl-2,3-dihydro-1H-indole-1-yl)benzamide 12 demonstrated the highest proapoptotic activity among all synthesized compounds on melanoma cell lines MDA–MB-435 with 3.7% growth inhibition at the concentration of 10 µM. Compound 12 (SGK 266) was evaluated in vitro using the MTT colorimetric method against melanoma cancer cell line MDA–MB435 growth inhibition for different doses and exhibited anticancer activity with IC50 values of 85–95 µM against melanoma cancer cell line MDA–MB435. In addition, this compound was investigated as inhibitors of four physiologically relevant human carbonic anhydrase isoforms, hCA I, II, IX and XII. The compund inhibited these enzymes with IC50 values ranging between 0.72 and 1.60 µM.
Different eigenvalue distributions encode the same temporal tasks in recurrent neural networks
Creators: name: Jarne, Cecilia
Publisher: name: arXiv
Year: 2020
Subjects: subject: Neurons and Cognition (q-bio.NC)
subject: Disordered Systems and Neural Networks (cond-mat.dis-nn)
subject: FOS: Biological sciences
subject: FOS: Physical sciences

description: Different brain areas, such as the cortex and, more specifically, the prefrontal cortex, show great recurrence in their connections, even in early sensory areas. {Several approaches and methods based on trained networks have been proposed to model and describe these regions. It is essential to understand the dynamics behind the models because they are used to build different hypotheses about the functioning of brain areas and to explain experimental results. The main contribution here is the description of the dynamics through the classification and interpretation carried out with a set of numerical simulations. This study sheds light on the multiplicity of solutions obtained for the same tasks and shows the link between the spectra of linearized trained networks and the dynamics of the counterparts. The patterns in the distribution of the eigenvalues of the recurrent weight matrix were studied and properly related to the dynamics in each task.
description: 19 pages, 10 Figures
Influence of Type and Thickness of CAD-CAM Resin Ceramic on Micro-tensile Bond Strength to Dentin
Creators: name: Leelaponglit, Seelassaya
Publisher: name: The Dental Association of Thailand
Year: 2020
Subjects: CAD-CAM resin ceramic
Material thickness
Micro-tensile bond strength

description: Journal of The Dental Association of Thailand, 70, 2, 158-169
Promotion of Kreweras words
Creators: name: Hopkins, Sam
name: Rubey, Martin
Publisher: name: arXiv
Year: 2020
Subjects: subject: Combinatorics (math.CO)
subject: FOS: Mathematics
subject: 05E18, 06A07, 05E10

description: Kreweras words are words consisting of n A's, n B's, and n C's in which every prefix has at least as many A's as B's and at least as many A's as C's. Equivalently, a Kreweras word is a linear extension of the poset ${\sf V}\times [n]$. Kreweras words were introduced in 1965 by Kreweras, who gave a remarkable product formula for their enumeration. Subsequently they became a fundamental example in the theory of lattice walks in the quarter plane. We study Schützenberger's promotion operator on the set of Kreweras words. In particular, we show that 3n applications of promotion on a Kreweras word merely swaps the B's and C's. Doing so, we provide the first answer to a question of Stanley from 2009, asking for posets with `good' behavior under promotion, other than the four families of shapes classified by Haiman in 1992. We also uncover a strikingly simple description of Kreweras words in terms of Kuperberg's $\mathfrak{sl}_3$-webs, and Postnikov's trip permutation associated with any plabic graph. In this description, Schützenberger's promotion corresponds to rotation of the web.
description: 38 pages, 15 figures; v4: forthcoming, Selecta Mathematica
title: GEOMAGIA50.v3
title: 2. A new paleomagnetic database for lake and marine sediments
titleType: Subtitle
Creators: name: Brown, Maxwell C.
name: Donadini, Fabio
name: Nilsson, Andreas
name: Panovska, Sanja
name: Frank, Ute
name: Korhonen, Kimmo
name: Schuberth, Maximilian
name: Korte, Monika
name: Constable, Catherine G.
Publisher: name: Universität Potsdam
Year: 2020

description: Background: GEOMAGIA50.v3 for sediments is a comprehensive online database providing access to published paleomagnetic, rock magnetic, and chronological data obtained from lake and marine sediments deposited over the past 50 ka. Its objective is to catalogue data that will improve our understanding of changes in the geomagnetic field, physical environments, and climate. Findings: GEOMAGIA50.v3 for sediments builds upon the structure of the pre-existing GEOMAGIA50 database for magnetic data from archeological and volcanic materials. A strong emphasis has been placed on the storage of geochronological data, and it is the first magnetic archive that includes comprehensive radiocarbon age data from sediments. The database will be updated as new sediment data become available. Conclusions: The web-based interface for the sediment database is located at http://geomagia.gfz-potsdam.de/geomagiav3/SDquery.php. This paper is a companion to Brown et al. (Earth Planets Space doi:10.1186/s40623-015-0232-0,2015) and describes the data types, structure, and functionality of the sediment database.
description: Postprints der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe, 875
Structural and metallogenic map of late Variscan Arbus Pluton (SW Sardinia, Italy)
Creators: name: Cuccuru, Stefano
name: Puccini, Antonio
name: Casini, Leonardo
name: Oggiano, Giacomo
name: Naitza, Stefano
name: Secchi, Francesco
name: Pavanetto, Pamela
name: Linnemann, Ulf
name: Hofmann, Mandy
Publisher: name: Taylor & Francis
Year: 2015
Subjects: subject: Inorganic Chemistry
subject: FOS: Chemical sciences
subject: Biological Sciences
subject: Ecology
subject: FOS: Biological sciences
subject: Chemistry
subject: Earth and Environmental Sciences

description: ABSTRACTThis paper presents the geological, structural and metallogenic map of the Arbus Pluton, a late Variscan composite intrusion belonging to the Corsica-Sardinia Batholith. The pluton is surrounded and crosscut by a wide variety of vein ore deposits. The Arbus Pluton was emplaced at shallow crustal levels at the end of the Variscan Orogeny, along an E–W trending shear zone located in the low-grade external nappe pile of the Sardinian basement. The architecture of the pluton is roughly concentric with a core of cordierite-bearing leucogranites and an outer shell composed of pyroxene-bearing and hornblende granodiorites. New U/Pb dating on zircons of granodiorite yields an emplacement age of 303.7 ± 1.1 which improves previous Rb/Sr and Ar/Ar dating. The map has been compiled on the basis of new geological/structural surveys and petrographical studies coupled with in situ gamma ray spectrometry. All the data-sets have been processed using a geographical information system.
Network connectivity under a probabilistic node failure model
Creators: name: Cavallaro, Lucia
name: Costantini, Stefania
name: De Meo, Pasquale
name: Liotta, Antonio
name: Stilo, Giovanni
Publisher: name: arXiv
Year: 2020
Subjects: subject: Social and Information Networks (cs.SI)
subject: Networking and Internet Architecture (cs.NI)
subject: FOS: Computer and information sciences

description: Centrality metrics have been widely applied to identify the nodes in a graph whose removal is effective in decomposing the graph into smaller sub-components. The node--removal process is generally used to test network robustness against failures. Most of the available studies assume that the node removal task is always successful. Yet, we argue that this assumption is unrealistic. Indeed, the removal process should take into account also the strength of the targeted node itself, to simulate the failure scenarios in a more effective and realistic fashion. Unlike previous literature, herein a {\em probabilistic node failure model} is proposed, in which nodes may fail with a particular probability, considering two variants, namely: {\em Uniform} (in which the nodes survival-to-failure probability is fixed) and {\em Best Connected} (BC) (where the nodes survival probability is proportional to their degree). To evaluate our method, we consider five popular centrality metrics carrying out an experimental, comparative analysis to evaluate them in terms of {\em effectiveness} and {\em coverage}, on four real-world graphs. By effectiveness and coverage we mean the ability of selecting nodes whose removal decreases graph connectivity the most. Specifically, the graph spectral radius reduction works as a proxy indicator of effectiveness, and the reduction of the largest connected component (LCC) size is a parameter to assess coverage. The metric that caused the biggest drop has been then compared with the Benchmark analysis (i.e, the non-probabilistic degree centrality node removal process) to compare the two approaches. The main finding has been that significant differences emerged through this comparison with a deviation range that varies from 2\% up to 80\% regardless of the dataset used that highlight the existence of a gap between the common practice with a more realistic approach.
description: 16 pages, 36 figures, submitted to IEEE Transaction
AMG preconditioners for Linear Solvers towards Extreme Scale
Creators: name: D'Ambra, Pasqua
name: Durastante, Fabio
name: Filippone, Salvatore
Publisher: name: arXiv
Year: 2020
Subjects: subject: Numerical Analysis (math.NA)
subject: FOS: Mathematics
subject: 65F08, 65F10, 65N55, 65Y05

description: Linear solvers for large and sparse systems are a key element of scientific applications, and their efficient implementation is necessary to harness the computational power of current computers. Algebraic MultiGrid (AMG) preconditioners are a popular ingredient of such linear solvers; this is the motivation for the present work where we examine some recent developments in a package of AMG preconditioners to improve efficiency, scalability, and robustness on extreme-scale problems. The main novelty is the design and implementation of a parallel coarsening algorithm based on aggregation of unknowns employing weighted graph matching techniques; this is a completely automated procedure, requiring no information from the user, and applicable to general symmetric positive definite (s.p.d.) matrices. The new coarsening algorithm improves in terms of numerical scalability at low operator complexity over decoupled aggregation algorithms available in previous releases of the package. The preconditioners package is built on the parallel software framework \texttt{PSBLAS}, which has also been updated to progress towards exascale. We present weak scalability results on one of the most powerful supercomputers in Europe, for linear systems with sizes up to $O(10^{10})$ unknowns.
title: How reliable is the linear noise approximation of gene regulatory networks?
Creators: name: Thomas, Philipp
name: Matuschek, Hannes
name: Grima, Ramon
Publisher: name: Universität Potsdam
Year: 2020

description: Background: The linear noise approximation (LNA) is commonly used to predict how noise is regulated and exploited at the cellular level. These predictions are exact for reaction networks composed exclusively of first order reactions or for networks involving bimolecular reactions and large numbers of molecules. It is however well known that gene regulation involves bimolecular interactions with molecule numbers as small as a single copy of a particular gene. It is therefore questionable how reliable are the LNA predictions for these systems. Results: We implement in the software package intrinsic Noise Analyzer (iNA), a system size expansion based method which calculates the mean concentrations and the variances of the fluctuations to an order of accuracy higher than the LNA. We then use iNA to explore the parametric dependence of the Fano factors and of the coefficients of variation of the mRNA and protein fluctuations in models of genetic networks involving nonlinear protein degradation, post-transcriptional, post-translational and negative feedback regulation. We find that the LNA can significantly underestimate the amplitude and period of noise-induced oscillations in genetic oscillators. We also identify cases where the LNA predicts that noise levels can be optimized by tuning a bimolecular rate constant whereas our method shows that no such regulation is possible. All our results are confirmed by stochastic simulations. Conclusion: The software iNA allows the investigation of parameter regimes where the LNA fares well and where it does not. We have shown that the parametric dependence of the coefficients of variation and Fano factors for common gene regulatory networks is better described by including terms of higher order than LNA in the system size expansion. This analysis is considerably faster than stochastic simulations due to the extensive ensemble averaging needed to obtain statistically meaningful results. Hence iNA is well suited for performing computationally efficient and quantitative studies of intrinsic noise in gene regulatory networks.
description: Postprints der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe, 876