## What is/are Generalized Spherical?

Generalized Spherical - Two numerical methods are used to calculate quasinormal modes~(QNMs) of near-extremal black holes/strings in the generalized spherically/cylindrically symmetric background, the Asymptotic Iteration Method~(AIM) and the Spectral Method.^{[1]}

## generalized spherical harmonic

Moreover, the generalized spherical harmonics were used to apply 2-point statistics on the texture and then statistically compare the texture changes.^{[1]}, generalized spherical harmonics), (iii) sequential design of FE simulations to maximize model fidelity while also minimizing the overall computational expense incurred in generating the data, and (iv) the use of Gaussian process models for incorporating uncertainty quantification into the development of the desired surrogate model.

^{[2]}Firstly, we develop a closed-form solution of the electrical conductivity of oriented short-fiber reinforced composites by using generalized spherical harmonics series expansions of a Mori-Tanaka (MT) model.

^{[3]}First, the parameters are identified for pure Nb directly from texture using an objective function based on generalized spherical harmonics.

^{[4]}Methods for resolving the OD (generalized spherical harmonics, vector, WIMV–EWIMV, entropy maximization, components, exponential harmonics, arbitrary defined cells, Radon transform), inverse pole figures, and estimators for OD refinement quality and texture strength are described.

^{[5]}This study also includes the analysis performed using generalized spherical harmonics (GSH) representation, a statistical and quantitative measure of material crystallographic informatics, which is novel in this field as to analyzing solder joint microstructures.

^{[6]}The procedures are based on representing ODFs using generalized spherical harmonics (GSH) functions.

^{[7]}The formula follows from the relationship between Heine–Stieltjes quasi-polynomials and spaces of generalized spherical harmonics, and from the known explicit form of the reproducing kernel of these spaces.

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## generalized spherical parallel

Therefore, this paper equivalent the human ankle to the UR model and proposes a novel 3-DOF generalized spherical parallel mechanism for ankle rehabilitation.^{[1]}By analyzing the physiological structure and motion characteristics of human ankle joint, a four degree of freedom generalized spherical parallel mechanism is proposed to meet the needs of ankle rehabilitation.

^{[2]}For constructing a generalized spherical parallel mechanism (GSPM) with the same kinematic characteristics with these models, a module combination configuration synthesis method is presented.

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## generalized spherical coordinate

This polytope is in its turn transformed into quite a simple region by using generalized spherical coordinates.^{[1]}The proposed approaches solve the filter coefficients of the deconvolution problems by the PSO algorithm, assisted by a generalized spherical coordinate transformation.

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## generalized spherical mean

We study the derivative operator of the generalized spherical mean Stγ.^{[1]}Using a generalized spherical mean operator, we obtain a generalization of two theorems 84 and 85 of Titchmarsh for the Dunkl transform for functions satisfying the Dunkl—Lipschitz condition in the space Lp(ℝd, wk(x)dx), where 1 < p ≤ 2.

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## generalized spherical function

The texture coefficients are the coefficients of the expansion of an orientation distribution function into a series in generalized spherical functions.^{[1]}Our approach is based on a detailed analysis of the Helgason Fourier transform and generalized spherical functions on symmetric spaces of noncompact type.

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