Lyapunov Function and Exponential Trichotomy on Time Scales by Ji Zhang

“…We study the relation between Lyapunov function and exponential trichotomy for the linear equation 𝑥Δ=𝐴(𝑡)𝑥 on time scales. …”
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More on (𝜶,𝜷)-Normal Operators in Hilbert Spaces by Rasoul Eskandari, Farzollah Mirzapour, Ali Morassaei

“…We study some properties of (𝛼,𝛽)-normal operators and we present various inequalities between the operator norm and the numerical radius of (𝛼,𝛽)-normal operators on Banach algebra ℬ(ℋ) of all bounded linear operators 𝑇∶ℋ→ℋ, where ℋ is Hilbert space.…”
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Rayleigh Mixture Distribution by Rezaul Karim, Pear Hossain, Sultana Begum, Forhad Hossain

“…This paper presents Rayleigh mixtures of distributions in which the weight functions are assumed to be chi-square, 𝑡 and 𝐹 sampling distributions. The exact probability density functions of the mixture of two correlated Rayleigh random variables have been derived. …”
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Taper Preparation Variability Compared to Current Taper Standards Using Computed Tomography by Richard Gergi, Joe Abou Rjeily, Nada Osta, Joseph Sader, Alfred Naaman

“…The canals were divided randomly into two groups of 30 each. After preparation with Twisted Files and PathFiles-ProTaper to size 25 taper .08, the diameter was measured using computed tomography (CT) at 1, 3, and 16 mm. …”
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On Stability of Parametrized Families of Polynomials and Matrices by Handan Akyar, Taner Büyükköroğlu, Vakıf Dzhafarov

“…It is established that the Schur stability of a family of real matrices 𝒜 is equivalent to the nonsingularity of the family {𝐴2−2𝑡𝐴+𝐼∶𝐴∈𝒜,𝑡∈[−1,1]} if 𝒜 has at least one stable member. …”
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A Regularity Criterion for the Navier-Stokes Equations in the Multiplier Spaces by Xiang'ou Zhu

“…It is shown that if the pressure gradient belongs to 𝐿2/(2−𝑟)̇𝐻((0,𝑇);ℳ(𝑟(ℝ3̇𝐻)→−𝑟(ℝ3))), where ̇𝐻ℳ(𝑟(ℝ3̇𝐻)→−𝑟(ℝ3)) is the multipliers between Sobolev spaces whose definition is given later for 0<𝑟<1, then the Leray-Hopf weak solution to the Navier-Stokes equations is actually regular.…”
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An Extension of the Spectral Mapping Theorem by A. R. Medghalchi, S. M. Tabatabaie

“…We give an extension of the spectral mapping theorem on hypergroups and prove that if 𝐾 is a commutative strong hypergroup with 0𝑥0005𝑒𝐾=𝑋𝑏(𝐾) and 𝜅 is a weakly continuous representation of 𝑀(𝐾) on a 𝑊∗-algebra such that for every 𝑡∈𝐾, 𝜅𝑡 is an ∗-automorphism, 𝑠𝑝𝜅 is a synthesis set for 𝐿1(𝐾) and 𝜅(𝐿1(𝐾)) is without order, then for any 𝜇 in a closed regular subalgebra of 𝑀(𝐾) containing 𝐿1(𝐾), 𝜎(𝜅(𝜇))=0𝑥0005𝑒𝜇(𝑠𝑝𝜅), where 𝑠𝑝𝜅 is the Arveson spectrum of 𝜅.…”
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Examples of Rational Toral Rank Complex by Toshihiro Yamaguchi

“…There is a CW complex 𝒯(𝑋), which gives a rational homotopical classification of almost free toral actions on spaces in the rational homotopy type of X associated with rational toral ranks and also presents certain relations in them. …”
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On a class of meromorphic p-valent starlike functions involving certain linear operators by Jin-Lin Liu, Shigeyoshi Owa

“…Let ∑p be the class of functions f(z) which are analytic in the punctured disk 𝔼*={z∈ℂ:0<|z|<1}. …”
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Proposal of High-Temperature-Operation Tolerant SOI MOSFET and Preliminary Study on Device Performance Evaluation by Yasuhisa Omura

“…It is shown that HTOT SOI MOSFET with 1-nm-thick local-thin Si regions is almost insensitive to temperature for 𝑇<700K (427 C). …”
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Oscillation of Two-Dimensional Neutral Delay Dynamic Systems by Xinli Zhang, Shanliang Zhu

“…We consider a class of nonlinear two-dimensional dynamic systems of the neutral type (x(t)-a(t)x(τ1(t)))Δ=p(t)f1(y(t)), yΔ(t)=-q(t)f2(x(τ2(t))). …”
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The (𝐷) Property in Banach Spaces by Danyal Soybaş

“…A Banach space 𝐸 is said to have (D) property if every bounded linear operator 𝑇∶𝐹→𝐸∗ is weakly compact for every Banach space 𝐹 whose dual does not contain an isomorphic copy of 𝑙∞. …”
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Surface of Alumina Films after Prolonged Breakdowns in Galvanostatic Anodization by Christian Girginov, Stephan Kozhukharov

“…Breakdown phenomena are investigated at continuous isothermal (20∘C) and galvanostatic (0.2–5 mA cm−2) anodizing of aluminum in ammonium salicylate in dimethylformamide (1 M AS/DMF) electrolyte. …”
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Expression of Constitutive Nitric Oxide Synthase Isoforms in Varicose Vein Wall; Preliminary Results by Zora Haviarová, Andrea Janegová, Pavel Janega, Štefan Durdík, Peter Kováč, Viera Štvrtinová, Peter Mráz

“…From 3 known NOS isoforms the two are constitutional: eNOS (endothelial NOS) and nNOS (neuronal NOS). 10 varicose and 10 control vein samples were processed by standard light microscopy and immuno-histochemica techniques using rabbit polyclonal antibodies against eNOS and nNOS. …”
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Efficacy of Esthetic Retainers: Clinical Comparison between Multistranded Wires and Direct-Bond Glass Fiber-Reinforced Composite Splints by Andrea Scribante, Maria Francesca Sfondrini, Simona Broggini, Marina D'Allocco, Paola Gandini

“…Moreover the level of satisfaction of the patient about the esthetic result was also analyzed by means of a Visual Analogue Scale (VAS). 34 patients (9 boys and 25 girls, mean age 14.3), in the finishing phase of orthodontic treatment, were selected for the study. …”
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Is There an Association between Socioeconomic Status and Body Mass Index among Adolescents in Mauritius? by Waqia Begum Fokeena, Rajesh Jeewon

“…Chi-square test, Pearson correlation, and Independent samples 𝑡-test were used for statistical analysis. A negative association was found between SES and BMI (𝜒2=8.15%, 𝑃<0.05). …”
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Local Analyticity in the Time and Space Variables and the Smoothing Effect for the Fifth-Order KdV-Type Equation by Kyoko Tomoeda

“…We consider the initial value problem for the reduced fifth-order KdV-type equation: 𝜕𝑡𝑢−𝜕5𝑥𝑢−10𝜕𝑥(𝑢3)+10𝜕𝑥(𝜕𝑥𝑢)2=0, 𝑡,𝑥∈ℝ, 𝑢(0,𝑥)=𝜙(𝑥), 𝑥∈ℝ. …”
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Charge Transport Mechanism in Thin Cuticles Holding Nandi Flame Seeds by Wycliffe K. Kipnusu, Gabriel Katana, Charles M. Migwi, I. V. S. Rathore, Joshua R. Sangoro

“…Variable range hopping (VRH) is the main current transport mechanism at the range of 330–440 K. The VRH mechanism was analyzed based on Mott theory and the Mott parameters: density of localized states near the Fermi-level N(𝐸𝐹)≈9.04×1019(eV−1cm−3) and hopping distance 𝑅≈1.44×10−7 cm, while the hopping energy (𝑊) was in the range of 0.72 eV–0.98 eV.…”
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Evaluation on the Corrosion of the Three Ni-Cr Alloys with Different Composition by Srinivasa B. Rao, Ramesh Chowdhary

“…In this paper, samples of three commercially available nickel-chrome (Ni-cr) casting alloys (Dentaurum, Bego, Sankin) were taken to assess their corrosion behavior, using potentiodynamic polarization method (electrochemical method) with fusayama artificial saliva as an electrolyte medium to check for their biocompatibility. …”
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Simplified Transient Hot-Wire Method for Effective Thermal Conductivity Measurement in Geo Materials: Microstructure and Saturation Effect by B. Merckx, P. Dudoignon, J. P. Garnier, D. Marchand

“…After a validation of the used “one hot-wire” technique in water, toluene, and glass-bead assemblages, the investigations were performed (1) in glass-bead assemblages of different diameters in dried, water, and acetone-saturated states in order to observe the role of grain sizes and saturation on the effective thermal conductivity, (2) in a compacted earth brick at different moisture states, and (3) in a lime-hemp concrete during 110 days following its manufacture. …”
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