D. Katatbeh, Semiclassical energy formulae for power law and log potentials in quantum mechanics, J. Phys. A, 36 (2003), 7173-7184.R.L. Hall, Q.D. Katatbeh, Semiclassical energy formulae for power-law and log potentials in quantum mechanics, J. Phys. A, 36 (2003) 7173-7184....
The apparent viscosity reduces to the conventional N(Γ)=K (∂u/∂y)(n−1) formula for one-dimensional, parallel plate, and “slot flow” flows considered in the drilling and cementing literature. When both independent variables y and x for the cross section are present, as in the ...
For a three-dimensional steady-state heat conduction problem with a heat source, the governing equation can be expressed as(1)K∇2T=Q(x,y,z)where ∇2 denotes the Laplace operator. T=T(x,y,z) is the temperature field. K is the heat conductivity, and Q(x,y,z) is the intensity...
Due to the limitation of the experimental condition, the three dimensional morphology of the fault surfaces are not scanned and quantified before the shear test. We chose those faults with relatively similar surface morphology to conduct the direct shear test. The applied normal stresses for granite...
e.g. data transformations (e.g. this one), multi-dimensional arrays, linear optimisation Recursive: function applied repeatedly until a condition is mete.g. search problems, numerical solvers, non-linear optimisation, even machine learning While many of the recursive examples might be considered a...
The generalized nonlinear power law gnr-GeoKdVm (1.6) admits a three-dimensional Lie-algebra\( (L_{3}) \)spanned by the vectors\(\mathfrak {S}_1,\mathfrak {S}_2,\mathfrak {S}_3\)given in (2.6). The one-parameter groups generated by the symmetries\(\mathfrak {S}_1\)and\(...
Queen Mary University of London, London, UK Received: 20 May 2023 / Accepted: 26 September 2023 / Published online: 10 October 2023 © The Author(s) 2023 Abstract We study higher dimensional hairy black holes of quartic quasi-topological gravity in the framework of non- abelian power-Yang–...
signature entries are taken from the given setS. Then-dimensional user vector consisting of the user entries taken from the setℐncan be represented as vertices of a hypercube. This hypercube is mapped into anm-dimensional space since it is multiplied by them×nsignature matrix. In order for...
[26,27] carried out two-dimensional (2D) and three-dimensional (3D) simulations, respectively. Comparing the results with Al-Shibl [28] and Hill [29], it was found that 2D models are unsatisfactory due to unrealistic power loss estimations and 3D simulations are clearly more effective. ...
A vector v of L(Λ) satisfies the equation (*) if and only if v ⊗ v lies in the highest component of L(Λ) ⊗ L(Λ). Below we discuss briefly the vertex operator construction needed for the homogeneous hierarchy:Let g¯ be a finite dimensional Lie algebra of rank l with a ...