Murat Akman, Steve Hofmann, José María Martell, Tatiana Toro,
Abstract Let Ω ⊂ ℝ n + 1 {\Omega\subset\mathbb{R}^{n+1}} , n ≥ 2 {n\geq 2} , be a 1-sided ... tangentially accessible domain (aka uniform domain), that is, Ω satisfies the interior Corkscrew and Harnack chain conditions, ... and path-connectedness. Let us assume also that Ω satisfies the so-called capacity density condition, a ... real (non-necessarily symmetric) uniformly elliptic operators in Ω, and write ω L 0 {\omega_{L_{0}}} , ω L {\omega_{L}} for the respective associated elliptic ... program is to find sufficient conditions guaranteeing that ω L {\omega_{L}} satisfies an A ∞ {A_{\infty}} - ...
Tópico(s): Advanced Mathematical Modeling in Engineering
2023 - De Gruyter | Forum Mathematicum
Leandro Beraldo e Silva, Victor P. Debattista, Stuart Robert Anderson, Monica Valluri, Peter Erwin, Kathryne J. Daniel, Nathan Deg,
... show that looped orbits appear at the resonance ( Ω φ − Ω P )/Ω R = 1/2 (analogous to the classical inner ... ILR) with vertical-to-radial frequency ratios 1 ≲ Ω z /Ω R ≲ 3/2 (vertically warm orbits). Cool orbits at the ILR (those with Ω z /Ω R > 3/2) are vertically thin and have ... these orbits toward crossing the vertical ILR [vILR, ( Ω φ − Ω P )/Ω z = 1/2], where they convert in-plane ...
Tópico(s): Astronomy and Astrophysical Research
2023 - IOP Publishing | The Astrophysical Journal
CEP Talbot, Nicole L. Church, EM Hildyard, L.D. Connor, James R. Miller, N.G. Jones,
... also susceptible to the formation of the hexagonal ω phase. The presence of ω is widely reported to prevent the α″ transformation, ... forms embrittles the material. Most studies characterise the ω phase ex situ and only observation of the ω phase is used to predict its stability. This ... the true nature of the α″ and athermal ω phase transformations with respect to both temperature and ... Nb alloys which initially contained both α″ and ω. Across the range of studied alloys, the α″ ... temperature was always found to be above the ω start temperature but both phases were observed to ...
Tópico(s): Advanced Welding Techniques Analysis
2023 - Elsevier BV | Acta Materialia
... an open set $$\Omega \subset \mathbb {R}^n$$ Ω ⊂ R n , $$n \ge 3$$ n ≥ 3 , with ... text {loc}}({\Omega })$$ b , c ∈ L loc n , ∞ ( Ω ) and $$d \in L_{\text {loc}}^{\frac{n}{2}, \infty }(\Omega )$$ d ∈ L loc n 2 , ∞ ( Ω ) , or $$|b|^2, |c|^2, |d| \in \mathcal { ... Omega )$$ | b | 2 , | c | 2 , | d | ∈ K loc ( Ω ) , where $$\mathcal {K}_{\text {loc}}(\Omega )$$ K loc ( Ω ) stands for the local Stummel–Kato class. Let $${\mathcal {K}_{\text {Dini}}}(\Omega )$$ K Dini ( Ω ) be a variant of $$\mathcal {K}(\Omega )$$ K ( Ω ) satisfying a Carleson-Dini-type condition. We develop ... K}_{\text {Dini}}}(\Omega )$$ | g | 2 ∈ K Dini ( Ω ) if, for $$q \in [n, \infty )$$ q ∈ [ n , ∞ ) , ...
Tópico(s): Numerical methods in inverse problems
2023 - Springer Science+Business Media | Calculus of Variations and Partial Differential Equations
Xiaobo Zhao, Shanshan Li, Jingchun Jiang, Junyuan Bai, Hongbo Xie, Hucheng Pan, Yanzhong Tian, Yuping Ren, Changqing Teng, Lu Wu, Gaowu Qin,
... temperature, superelasticity, and superconductivity fields. The classical omega (ω) transformation occurs in such systems is hardly expected ... entropy and sluggish diffusion. Here, we confirmed unusual ω and ω-like transformations occurred in a configurational entropy stabilized ... formation of colony hierarchical microstructures. These chemically ordered ω and polytyped ω-like superstructures nucleate from one of two phase- ... bcc lattice to the non-close-packed hexagonal ω superstructure, and a certain strain induced collective displacement ...
Tópico(s): Metal and Thin Film Mechanics
2022 - Elsevier BV | Acta Materialia
Chaoxu Mu, Ke Wang, Shiqian Ma, Zhiqiang Chong, Zhen Ni,
... wind turbine. The tip speed ratio is λ = ω ℏ v , $\lambda =\frac{\omega \hslash }{v},$ (4)where ω is the angular velocity and can be calculated by ω 2 = ∫ 2 M P w − P w g ... and rotor, respectively. Also note that ϱ = (ω0 − ω)/ω0 is the slip of the induction generator, ... Next, one considers such a relation τw = Pw/ω, where τw is the output torque of the ... can be given by τ w = 1 2 ω C p ( λ , β ) v 3 ρ π ... vop are steady-state or rated values of ω, β and v, respectively. With the help of ... follows: τ w − τ wop = A 1 Δ ω + A 2 Δ β + A 3 Δ v ${\ ... p ρ π ℏ 2 v 3 2 ω 2 + ρ π ℏ 3 v 2 2 ...
Tópico(s): Adaptive Dynamic Programming Control
2022 - Institution of Engineering and Technology | CAAI Transactions on Intelligence Technology
E.G. El-Metwally, N.A. Hegab, M. Mostfa,
... conductivity $${\sigma }_{ac}\left(\omega \right)$$ σ ac ω and dielectric measurements were examined for the studied ... conductivity $${\sigma }_{ac}\left(\omega \right)$$ σ ac ω are temperature dependent and follow the relation $${\sigma }_{ ... left(\omega \right)\propto {\omega }^{s}$$ σ ac ω ∝ ω s , where the frequency exponent $$s$$ s decrements ... of $${\sigma }_{ac}\left(\omega \right)$$ σ ac ω and $$s$$ s are explained based on the ... E}_{\sigma }\left(\omega \right)$$ Δ E σ ω show thickness independence and decrease from 0.270 ... The dielectric constant $${\varepsilon }_{1}(\omega )$$ ε 1 ( ω ) and loss $${\varepsilon }_{2}(\omega )$$ ε 2 ( ω ) ...
Tópico(s): Liquid Crystal Research Advancements
2022 - Springer Science+Business Media | Journal of Materials Science Materials in Electronics
Zheng Gao, Dewen Zhang, Xiaocan Yan, Hekai Shi, Xiao‐Hui Xian,
Background and Purpose Multiple guidelines suggest the ω-3 polyunsaturated fatty acids (ω-3 PUFAs) help to prevent major vascular events of coronary heart disease (CHD), but the data on large trials of ω-3 fatty acids are controversial. We reviewed the available evidence to determine the effect of ω-3 PUFAs on coronary atherosclerosis. Materials and Methods ... included. Results Meta-analysis indicated a benefit of ω-3 PUFAs on coronary atherosclerosis, namely, (1) ω-3 PUFAs can reduce the atherosclerotic plaque volume ( ...
Tópico(s): Cardiovascular Disease and Adiposity
2022 - Frontiers Media | Frontiers in Cardiovascular Medicine
... involving the so called regional fractional Laplacians (−Δ)Ωs, with Ω⊂RN. Recall that the regional fractional Laplacians are ... processes which are not allowed to jump outside Ω. We consider weak solutions to the equation (−Δ) ... 2sdy=f(x), for s∈(0,1) and Ω⊂RN, subject to zero Neumann or Dirichlet boundary ... test functions in the fractional Sobolev spaces Hs(Ω) or H0s(Ω) respectively. While the interior regularity is well understood ... the Neumann problem. Under optimal regularity assumptions on Ω and provided f∈Lp(Ω), we show that ...
Tópico(s): Nonlinear Differential Equations Analysis
2022 - Elsevier BV | Journal of Differential Equations
Youssef A. Attia, Mohammed A. Al‐Harthi, Ahmed A. Al-Sagan, Adel D. Al‐Qurashi, M. Korish, Nisreen M. Abdulsalam, Marai J. Olal, Fulvia Bovera,
The supplementation of different ω-6/ω-3 ratio to the diets of the laying hens has been studied to evaluate the effects on performance, egg quality, egg health ... divided into three groups fed diets with different ω-6/ω-3 polyunsaturated fatty acids (PUFA) at ratio: 16. ... hens. Hens fed the diet with the highest ω-6/ω-3 ratio had significantly increased weight gain compared ... the 5.5:1 and 9.3:1 ω-6/ω-3 ratios. In contrast, hens fed the 9. ...
Tópico(s): Antioxidant Activity and Oxidative Stress
2022 - Multidisciplinary Digital Publishing Institute | Agriculture
Hongxia Huang, Jialun Ping, Xinmei Zhu, Fan Wang,
... of fully heavy dibaryons $$\varOmega _{ccc}\varOmega _{bbb}$$ Ω ccc Ω bbb , $$\varOmega _{ccb}\varOmega _{bbc}$$ Ω ccb Ω bbc , $$\varOmega _{ccc}\varOmega _{ccc}$$ Ω ccc Ω ccc , and $$\varOmega _{bbb}\varOmega _{bbb}$$ Ω bbb Ω bbb with $$J=0,~1,~2,~3$$ J = ... the color-singlet type $$\varOmega _{ccc}\varOmega _{bbb}$$ Ω ccc Ω bbb to form any bound state, it is ...
Tópico(s): Superconducting Materials and Applications
2022 - Springer Science+Business Media | The European Physical Journal C
Mayra Montecillo-Aguado, Belén Tirado-Rodríguez, Gabriela Antonio-Andrés, Mario Morales-Martínez, Zhen Tong, Jun Yang, Bruce D. Hammock, Rogelio Hernández‐Pando, Sara Huerta‐Yépez,
... mortality of several types of cancers. Intake of ω-3 and ω-6 PUFAs plays an important role in cancer ... progression. Current Western populations have high consumption of ω-6 PUFAs with a ratio of ω-6/ω-3 PUFAs at 15:1 to 16.7:1 This high consumption of ω-6 PUFAs is related to increased cancer risk and progression. However, whether a diet rich in ω-6 PUFAs can contribute to tumor aggressiveness has ... in mice fed with a diet rich in ω-6 PUFAs and its relationship with oxylipins. Our ... that the mice fed a diet rich in ω-6 showed a marked increase in proliferation, angiogenesis ...
Tópico(s): Cancer, Hypoxia, and Metabolism
2022 - Multidisciplinary Digital Publishing Institute | International Journal of Molecular Sciences
Qiang Du, Xiaochuan Tian, Cory Wright, Yue Yu,
For a given Lipschitz domain Ω, it is a classical result that the trace space of W1,p(Ω) is W1−1/p,p(∂Ω), namely any W1,p(Ω) function has a well-defined W1−1/p,p(∂Ω) trace on its codimension-1 boundary ∂Ω and any W1−1/p,p(∂Ω) function on ∂Ω can be extended to a W1,p(Ω) function. In this work, we study function spaces ... space with the classical W1−1/p,p(∂Ω) space as the size of nonlocal interaction tends ...
Tópico(s): Nonlinear Partial Differential Equations
2022 - Elsevier BV | Journal of Functional Analysis
Ivana Djuričić, Philip C. Calder,
... to discuss the potential roles of omega-3 (ω-3) and omega-6 (ω-6) polyunsaturated fatty acids (PUFAs) in the prevention ... insights into this field.Higher dietary or circulating ω-3 PUFA levels are related to a lower ... Novel findings in obesity indicate higher proportions of ω-6 and ω-3 PUFAs, a modulated oxylipin profile and an ... tissue, that seem resistant to the effects of ω-3 PUFAs compared with what occurs in normal weight individuals. ω-3 PUFAs may improve the blood lipid profile ... individual variability in the insulin sensitivity response to ω-3 PUFA supplementation. ω-3 PUFAs have prebiotic ...
Tópico(s): Diet, Metabolism, and Disease
2022 - Lippincott Williams & Wilkins | Current Opinion in Clinical Nutrition & Metabolic Care
The soft θ ω -closure operator is defined as a new soft operator that lies strictly between the usual soft closure and the ... are provided for equivalence between the soft θ ω -closure and usual soft closure operators, and between the soft θ ω -closure and soft θ-closure operators.Via the soft θ ω -closure operator, the soft θ ω -open sets are defined as a new class ... is proven that the class of soft θ ω -open sets form a new soft topology.The soft ω-regularity is characterized via both the soft θ ω -closure operator and soft θ ω -open sets. ...
Tópico(s): Fuzzy and Soft Set Theory
2022 - | International Journal of Fuzzy Logic and Intelligent Systems
Jelle D’Helft, Riccardo Caccialanza, Emma Derbyshire, Michaël Maes,
... and combinations. Gamma-linolenic acid (GLA) is an ω-6 fatty acid of emerging interest with potential ... anti-inflammatory agent that could be used with ω-3 PUFAs in the treatment of ADHD and ... to examine the potential role(s) of the ω-6 fatty acid GLA. PubMed, Google Scholar, and ... to examine the potential role(s) of the ω-6 fatty acid GLA as (1) an antioxidant ... agent, (2) a synergistic nutrient when combined with ω-3 PUFAs, and (3) a potential etiological factor ... increasing dihomo-gamma-linolenic acid in immune cells. ω-3 PUFAs, such as EPA and DHA, are ...
Tópico(s): Sleep and related disorders
2022 - Multidisciplinary Digital Publishing Institute | Nutrients
... potentials such as V ( x ) = −i σ 1 Ω ( x ) (with σ > 0 a constant, Ω a subset of 3-space, and 1 Ω its characteristic function) have been used in quantum ... to notice a particle in the detector volume Ω. In order to model a ‘hard’ detector (i. ... registers a particle as soon as it enters Ω), one may think of taking the limit σ → ∞ ... Allcock, in this limit the particle never enters Ω; its wave function gets reflected at the boundary ∂Ω of Ω in the same way as by a Dirichlet boundary condition on ∂Ω. This phenomenon, a cousin of the ‘quantum Zeno ...
Tópico(s): Statistical Mechanics and Entropy
2022 - Institute of Physics | Communications in Theoretical Physics
Michael R. Martinez, Krzysztof Matyjaszewski,
... of the bromine. Thus, oxidation of telechelic α,ω-bis(thiol)-functionalized PMA with I2 leads to ... bromoisobutyrate initiator.93 DA [4+2] cycloaddition between ω-maleimide-PMA and a ω-furan-poly(ethylene glycol) produced diblock copolymers with ... 120 °C cleaved the adduct into the same ω-furan-poly(ethylene glycol) and ω-maleimide-PMA starting materials.93 Ultrasonication of PMA ... combination.96,97 Step-growth ATRC of α,ω-dihalogenated PS was performed in the presence of ... CEF) can install thiol linkages on telechelic α,ω-dibromo vinyl polymers.90,103 Telechelic polymers with ...
Tópico(s): Conducting polymers and applications
2022 - Chinese Chemical Society | CCS Chemistry
Lukáš Opálka, Jason M. Meyer, Veronika Ondrejčeková, Linda Svatošová, Franz P.W. Radner, Kateřina Vávrová,
Epidermal omega-O-acylceramides (ω-O-acylCers) are essential components of a competent skin barrier. These unusual sphingolipids with ultralong N-acyl chains contain linoleic ... containing 1 (PNPLA1). In ichthyosis with dysfunctional PNPLA1, ω-O-acylCer levels are significantly decreased, and ω-hydroxylated Cers (ω-OHCers) accumulate. Here, we explore the role of the linoleate moiety in ω-O-acylCers in the assembly of the skin ... Pnpla1-/- mice showed that the linoleate moiety in ω-O-acylCers is essential for lamellar pairing in ...
Tópico(s): Lipid Membrane Structure and Behavior
2022 - Elsevier BV | Journal of Lipid Research
Zhongjie Fu, Wenjun Yan, Chuck T. Chen, Anders Nilsson, Edward Bull, William E. Allen, Jay Yang, Minji Ko, John Paul SanGiovanni, James D. Akula, Saswata Talukdar, Ann Hellström, Lois E. H. Smith,
... gap in understanding the effect of the essential ω-3 and ω-6 long-chain polyunsaturated fatty acids (LCPUFA) on ... neonates with hyperglycemia-associated Phase I retinopathy, dietary ω-3 (vs. ω-6 LCPUFA) supplementation promoted retinal vessel development. However, ω-6 (vs. ω-3 LCPUFA) was also developmentally essential, promoting neuronal ... in Phase I ROP) decreased LCPUFA levels (including ω-3 and ω-6) in retinas under normoglycemic and hyperglycemic conditions. ω-3 (vs. ω-6) LCPUFA activated the APN pathway by increasing ...
Tópico(s): Fatty Acid Research and Health
2022 - Multidisciplinary Digital Publishing Institute | Nutrients
... t = Δ u − ∇ ⋅ ( u S θ ∇ v ) , x ∈ Ω , t > 0 , 0 = Δ v − v + u , x ∈ Ω , t > 0 , with zero-flux boundary condition for ... and zero-Neumann boundary condition for v , where Ω is a bounded domain in <?CDATA $\mathbb{R}^ ... R 2 with smooth boundary <?CDATA $\partial\Omega$?> ∂ Ω , <?CDATA \begin{equation*} S_{\theta} = \Bigg[ \begin{array}{ ... that: Let <?CDATA $\Omega \subset \mathbb{R}^2$?> Ω ⊂ R 2 be a general smooth bounded domain. ... int_{\Omega} u_0 \,\mathrm{d} x = m$?> ∫ Ω u 0 d x = m , such that the ... time and the blow-up point lies in Ω. If <?CDATA $m \gt \frac{4\pi}{\cos \ ... 4 π cos θ and <?CDATA $\partial \Omega$?> ∂ Ω contains a line segment, then there exists nonnegative ...
Tópico(s): Microtubule and mitosis dynamics
2022 - IOP Publishing | Nonlinearity
... Neumann–Poincaré operators in three dimensions. The region Ω is C2,α (α>0) bounded in R3 and the Neumann–Poincaré operator K∂Ω:L2(∂Ω)→L2(∂Ω) is defined byK∂Ω[ψ](x):=14π∫∂Ω〈y−x,n(y)〉|x−y|3ψ(y) ... n(y) is the outer normal vector on ∂Ω, and the integral is understood in the principal value sense. Then the ordered eigenvalues λj(K∂Ω) of the Neumann–Poincaré operator satisfy|λj(K∂Ω)|∼{3W(∂Ω)−2πχ(∂Ω)128π}1/2j−1/2asj→∞. Here ...
Tópico(s): Spectral Theory in Mathematical Physics
2022 - Elsevier BV | Advances in Mathematics
... excitation x ¨ g t = Ae iωt , where A, ω, and t are the amplitude of the ground ... can then be expressed as x t = X ω e iωt , where X ω is the displacement amplitude at frequency ω. The damping force of the ideal RILD is expressed as follows48: f RILD = iηk sgn ω X ω (1)where i, η, k, and sgn are ... ηk is the loss stiffness and i sgn ω corresponds to the Hilbert transform. To achieve a ... filter with the form: H AP iω = iω − ω T iω + ω T (2)where ω T is the target frequency of the filter. ...
Tópico(s): Hydraulic and Pneumatic Systems
2022 - Wiley | Structural Control and Health Monitoring
M. Musa Saad H.‐E., B. O. Alsobhi,
... HM) behavior. Optical responses of dielectric function (ε(ω)) are explained by computing the real ε1(ω) and imaginary ε2(ω) parts of ε(ω), refractive index n(ω), extinction coefficient k(ω), absorption coefficient α(ω), optical conductivity σ(ω), reflectivity R(ω), and energy loss function L(ω) using GGA and GGA + U. Also, we computed ...
Tópico(s): ZnO doping and properties
2022 - American Chemical Society | ACS Omega
Alok Patel, Sneha Sawant Desai, Varsha Kelkar Mane, Josefine Enman, Ulrika Rova, Paul Christakopoulos, Λεωνίδας Μάτσακας,
... of calories intake. At the same time, omega (ω)-6 fatty acid intake has risen at the expense of ω-3 fatty acids, resulting in an ω-6/ω-3 ratio of 20:1 or higher. The ... autoimmune or neurodegenerative disorders. The low intake of ω-3 fatty acids may be attributed to their ... way of reaching a large population with essential ω-3 fatty acids is fortification of staple foods. A variety of food items enriched with ω-3 have entered the market in recent years, ... formula. The present review discusses the role of ω-3 and ω-6 fatty acids, as well ...
Tópico(s): Diet, Metabolism, and Disease
2022 - Elsevier BV | Trends in Food Science & Technology
Christoph Brause, Maximilian Geißer, Ingo Schiermeyer,
... class of H-free graphs, that is, fH⋆(ω)=max{χ(G):G is H-free, ω(G)=ω}. In this paper, we combine the two decomposition ... In particular, we prove the following for each ω≥1: (i) f{P5,banner}⋆(ω)=f{3K1}⋆(ω)∈Θ(ω2/log(ω)), (ii) f{P5,co-banner}⋆(ω)=f{2K2}⋆(ω)∈O(ω2), (iii) f{C5,C7,…,banner}⋆(ω)=f{C5,3K1}⋆(ω)∉O(ω), and. (iv) ...
Tópico(s): Graph theory and applications
2022 - Elsevier BV | Discrete Applied Mathematics
Mayank Dixit, Takashi Taniguchi,
... with dimethyl allyl-(trans-1,4-isoprene)2 (ω) and α terminal groups. These terminal groups provide ... of dimethyl allyl-(trans-1,4-isoprene)2 (ω) and hydroxylated isoprene (α6) terminal groups, i.e., pure PI (no terminal) (PII), ω-PI-ω (PIII), ω-PI-α6 (PIIII), and α6-PI-α6 (PIIV). ... W(r)), the association between α6 terminals in ω-PI-α6 and α6-PI-α6 is significantly ... the isoprene–isoprene association in PII and the ω–ω association in PIII. By the analysis based on ... firm cluster formation is observed, but in the ω-PI-α6 and α6-PI-α6 systems, stable ...
Tópico(s): NMR spectroscopy and applications
2022 - American Chemical Society | Macromolecules
Liang Zhang, Song Zhang, Y. G.,
... and measured, multi-strangeness hypernuclei consisting of $$\Omega $$ Ω are not yet discovered. The studies of multi- ... between hyperons and nucleons. Recently the $$\Omega N$$ Ω N and $$\Omega \Omega $$ Ω Ω interactions as well as binding energies were calculated ... Dynamics (LQCD) simulations and production rates of $$\Omega $$ Ω -dibaryon in Au + Au collisions at RHIC and ... production of more exotic triple-baryons including $$\Omega $$ Ω , namely $$\Omega NN$$ Ω N N and $$\Omega \Omega N$$ Ω Ω N as well as their decay channels. A ... bound states and binding energy of $$\Omega NN$$ Ω N N and $$\Omega \Omega N$$ Ω Ω ...
Tópico(s): Particle physics theoretical and experimental studies
2022 - Springer Science+Business Media | The European Physical Journal C
Feng Zhang, Jun Feng, Wei Xiang, Qiang Fu, Wuhua Yuan,
... 0.3Fe) to enhance its mechanical properties via ω-assisted nucleation. The results showed that the intragranular ... formed during the slow heating process provide abundant ω/β interfaces, which can serve as heterogeneous nucleation ... faster solution cooling rate is more conducive to ω-assisted nucleation. During ω-assisted nucleation, the three-phase orientation relationship holds for: (112‾0)ω//(0001)α//(110)β, and [0001]ω//[112‾0]α//[11‾1]β. At the atomic scale, the ω/α interface appeared as a relatively straight atomic ...
Tópico(s): Intermetallics and Advanced Alloy Properties
2022 - Elsevier BV | Materials Science and Engineering A