Advances in science and technology of Mn+1AXn phases / by Low, I. M.

Unified and ultimate high-pressure phase of several nanolaminate Mn+1AXn (n = 1, 2, 3, etc.) ceramics from first principles by Ben-Yang Li, Fang Chen, Heng-Na Xiong, Ling Tang, Ju-Xiang Shao, Ze-Jin Yang

Subjects: “…Mn+1AXn…”
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On the dynamics of the nonlinear rational difference equation xn+1 = Axn + Bxn−k + Cxn−l + bxn−k/dxn−k − exn−l by M.A. El-Moneam, E.M.E. Zayed

“…In this article, we study the periodicity, the boundedness and the global stability of the positive solutions of the following nonlinear difference equation xn+1=Axn+Bxn-k+Cxn-l+bxn-kdxn-k-exn-l,n=0,1,2,… where the coefficients A,B,C,b,d,e∈(0,∞), while k and l are positive integers. …”
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Synthesis of Cr2AuC via thermal substitution reaction in Au-covered Cr2GaC and Cr2GeC thin films by Yuchen Shi, Shun Kashiwaya, Pernilla Helmer, Jun Lu, Mike Andersson, Andrejs Petruhins, Johanna Rosen, Lars Hultman

Subjects: “…Mn+1AXn phases…”
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On the difference equation xn+1=axn−l+bxn−k+f(xn−l,xn−k) $x_{n+1}=ax_{n-l}+bx_{n-k}+f ( x_{n-l},x_{n-k} )$ by Mahmoud A. E. Abdelrahman, George E. Chatzarakis, Tongxing Li, Osama Moaaz

“…Abstract In this paper, we study the asymptotic behavior of the solutions of a new class of difference equations xn+1=axn−l+bxn−k+f(xn−l,xn−k), $$x_{n+1}=ax_{n-l}+bx_{n-k}+f ( x_{n-l},x_{n-k} ), $$ where l and k are nonnegative integers, a and b are nonnegative real numbers, the initial values x−s,x−s+1,…,x0 $x_{-s}, x_{-s+1},\ldots, x_{0}$ are positive real numbers, s=max{l,k} $s=\max\{l,k\}$, and f(u,v):(0,∞)2→(0,∞) $f (u,v ): ( 0,\infty ) ^{2}\rightarrow ( 0,\infty ) $ is a continuous and homogeneous real function of degree zero. …”
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Influence of Cu content on the microstructure and mechanical property of Ti3SiC2/Cu composites by Shuai Ma, Rui Zhang, Fuyan Liu, Biao Chen, Chenlong Wu

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Solution of the Maximum of Difference Equation xn+1=max{Axn−1,ynxn};yn+1=max{Ayn−1,xnyn}\matrix{ {x_{n + 1} = max \left\{ {{A \over {x_{n - 1} }},{{y_n } \over {x_n }}} \right\};} & {y_{n + 1} = max \left\{ {{A \over {y_{n - 1} }},{{x_n } \over {y_n }}} \right\}}} by Simsek Dagistan, Ogul Burak, Abdullayev Fahreddin

“…We study the behaviour of the solutions of the following system of difference equation with the max operator: paper deals with the behaviour of the solutions of the max type system of difference equations, (1)xn+1=max{Axn−1,ynxn};yn+1=max{Ayn−1,xnyn},\matrix{ {x_{n + 1} = max \left\{ {{A \over {x_{n - 1} }},{{y_n } \over {x_n }}} \right\};} & {y_{n + 1} = max \left\{ {{A \over {y_{n - 1} }},{{x_n } \over {y_n }}} \right\},}} where the parametr A and initial conditions x−1,x0, y−1,y0 are positive reel numbers.…”
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Identifying the axillary nerve during shoulder surgery: an anatomic study using advanced imaging by Michael E. Hachadorian, MD, Brendon C. Mitchell, MD, Matthew Y. Siow, MD, MBA, Wilbur Wang, MD, Tracey Bastrom, MA, T. Barrett Sullivan, MD, Brady K. Huang, MD, Eric W. Edmonds, MD, William T. Kent, MD

“…Background: The axillary nerve (AXN) is one of the more commonly injured nerves during shoulder surgery. …”
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Antioxidant, Transcriptome and the Metabolome Response to Dietary Astaxanthin in Exopalaemon carinicauda by Wenyang Li, Wenyang Li, Jiajia Wang, Jitao Li, Ping Liu, Jian Li, Fazhen Zhao

“…Astaxanthin (Axn), a feed additive, is becoming increasingly important for modulating the metabolism, growth, development, and reproduction of aquatic organisms in aquaculture. …”
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Antioxidant, Transcriptomic and Metabonomic Analysis of Hepatopancreatic Stress Resistance in Exopalaemon carinicauda Following Astaxanthin Feeding by Wenyang Li, Wenyang Li, Jiajia Wang, Jitao Li, Ping Liu, Jian Li, Fazhen Zhao

“…Astaxanthin (Axn) is a xanthophyll carotenoid that has previously been shown to suppress hepatic inflammation, reduce oxidative liver damage, and improve metabolic profiles. …”
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Correlation Between FDG Hotspots on Pre-radiotherapy PET/CT and Areas of HNSCC Local Relapse: Impact of Treatment Position and Images Registration Method by Blandine Truffault, David Bourhis, David Bourhis, Anne Chaput, Jeremie Calais, Jeremie Calais, Philippe Robin, Philippe Robin, Romain Le Pennec, François Lucia, Jean-Christophe Leclère, Dorothy M. Gujral, Dorothy M. Gujral, Pierre Vera, Pierre-Yves Salaün, Pierre-Yves Salaün, Ulrike Schick, Ronan Abgral, Ronan Abgral

“…Comparison of registration method demonstrated OF and AXnRX/RX indices (x = 30% to 50%SUVmax) were significantly higher with ER vs. …”
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Wnt signaling cross-talks with JH signaling by suppressing Met and gce expression. by Mohamed Abdou, Cheng Peng, Jianhua Huang, Ola Zyaan, Sheng Wang, Sheng Li, Jian Wang

“…We found that mutations in three Wnt signaling negative regulators in Drosophila, Axin (Axn), supernumerary limbs (slmb), and naked cuticle (nkd), caused precocious br expression, which could not be blocked by exogenous JHA. …”
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Posterior division of ipsilateral C7 transfer to C5 for shoulder abduction limitation by Xinying Huang, Xinying Huang, Xinying Huang, Xinying Huang, Zongqi You, Zongqi You, Zongqi You, Yaoxian Xiang, Yaoxian Xiang, Yaoxian Xiang, Junxi Dai, Junxi Dai, Junxi Dai, Junjian Jiang, Junjian Jiang, Junjian Jiang

“…In cases that underwent SAN transfer to SSN plus TMBRN to AXN, the average shoulder abduction was 84.6° at the 12-month follow-up. …”
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Dynamics and Global Stability of Second Order Nonlinear Difference Equation by E. M. Elsayed, Hanan S. Gafel

“…In this paper, we study some qualitative behavior of the solutions of the following rational difference equation with order two xn+1=axn+bxn−1+cxn+dxn−1/e+fxn−1, where the parameters a, b, c, d, e and f are positive real numbers and the initial conditions x−1 and x0 are positive real numbers.…”
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Cut-off phenomenon for the ax+b Markov chain over a finite field by Breuillard, E, Varjú, PP

“…We study the Markov chain xn+1= axn+ bn on a finite field Fp, where a∈Fp× is fixed and bn are independent and identically distributed random variables in Fp. …”

Convergence Comparison of Several Iteration Algorithms for the Common Fixed Point Problems by Yisheng Song, Xiao Liu

“…We discuss the following viscosity approximations with the weak contraction A for a non-expansive mapping sequence {Tn}, yn=αnAyn+(1−αn)Tnyn, xn+1=αnAxn+(1−αn)Tnxn. We prove that Browder's and Halpern's type convergence theorems imply Moudafi's viscosity approximations with the weak contraction, and give the estimate of convergence rate between Halpern's type iteration and Mouda's viscosity approximations with the weak contraction.…”
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On the global attractivity and the periodic character of a recursive sequence by E. M. Elsayed

“…In this paper we investigate the global convergence result, boundedness, and periodicity of solutions of the recursive sequence \[x_{n+1} = ax_n + \frac{bx_{n-1}+cx_{n+2}}{dx_{n-1}+ex_{n+2}}, \quad n=0,1,\ldots,\] where the parameters \(a\), \(b\), \(c\), \(d\) and \(e\) are positive real numbers and the initial conditions \(x_{-2}\), \(x_{-1}\), and \(x_0\) are positive real numbers.…”
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Restriction fragment length polymorphism in calpain (CAPN2) gene in crossbred cattle by Maria Aparecida Cassiano Lara, Eder Pinatti, Aderbal Cavalcante-Neto, Gunta Gutmanis, Weber Vilas Boas Soares, Flávio Dutra Resende, Marcelo Henrique Faria

“…The average value of FC estimated for RxN was 32.24%, significantly (p<0.05) lesser that of AxN. All the averages of FC estimated for the genotypes AA, AB and BB, in two genetic groups differed (p<0.05) and were, respectively, 3.74, 5.43 and 7.43 in AxN and 2.64, 4.21 and 5.32 in RxN. …”
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The New Ternary Ceramics of MAX Phases, the Solution of All Obstacles (Theoretical and Experimental Review) by Ahmed M. H. Abdulkadhim Al-Ghaban

“…In the recent years the new ternary carbides or nitrides materials with the formula of Mn+1AXn where M is a transition metal, A is an element from group IIIA or IVA, X is either Carbon or Nitrogen, and (n=1-3) have been given more attention due to their unusual set of mechanical and physical properties. …”
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Solvable subclasses of a class of nonlinear second-order difference equations by Stević Stevo

“…We present some solvable subclasses of the class of nonlinear second-order difference equations of the form Axn+1 + Bxn+1xn + Cxnxn-1 + Gxn+1xn-1 + Dxn + Exn-1 + F = 0, n ∈ ℕ0, where the parameters A, B, C, D, E, F, G and the initial values x-1,x0 are real numbers. …”
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