Perovskite‐type oxide lanthanoid‐substituted BiCoO3 exhibits a reversible negative thermal expansion (NTE) originated from the coordination change from the CoO5 pyramid to the CoO6 octahedron due to melting of the dxy orbital ordering in the d6 electron configuration, and the 6.1% volume shrinkage in Bi0.82Nd0.18CoO3 is the largest ever observed in the
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Ultrasonic Cavity Preparation with CVD Diamond Tips: A Scanning Electron Microscopy Study of Dentin Surface Morphology and Smear Layer Formation. [PDF]
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Equilibrium Stability for the Discrete Diamond–Alpha Operator
Bulletin of the Malaysian Mathematical Sciences Society, 2022The authors investigate the stability properties of the following discrete diamond-alpha linear difference equation: \[ \Diamond_\alpha x(t):= \alpha \Delta_hx(t)+(1-\alpha)\nabla_hx(t)=\lambda x(t),\qquad \alpha\in[0,1], \] where \(\lambda\in\mathbb{C}\), \(h\in\mathbb{R}\), \(h\mathbb{Z}=\{hn:n\in\mathbb{Z}\}\), \(t_0\in\mathbb{Z}\), \(t\in[t_0 ...
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On the solutions of the n-dimensional diamond operator
Applied Mathematics and Computation, 1997The following operator \[ {\mathcal D}= \Biggl({\partial^2\over\partial x^2_1}+\cdots+ {\partial^2\over\partial x^2_p}- {\partial^2\over\partial x_{p+1}^2}-\cdots- {\partial^2\over\partial x_{p+q}^2}\Biggr) \Delta,\quad p+q=n, \] where \(\Delta\) is the \(n\)-dimensional Laplace operator, is named the diamond operator and the linear differential ...
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