The phrase "analysis of the singular" is correct and usable in written English.
It can be used in contexts discussing the examination or study of individual cases or unique instances, particularly in academic or analytical writing.
Example: "The analysis of the singular in this study reveals important insights into individual behavior patterns."
Alternatives: "examination of the individual" or "study of the unique".
We present the full analysis of the singular behaviours at any orders with respect to the parameter ε where we use a systematic nonlinear treatment initiated in Jung et al.
Therefore, the solution proposed in this paper is more convenient and effective for the analysis of the singular stresses near the interface edge in the orthotropic/isotropic bi-material.
Cutting states associated with the orthogonal cutting of stiff cylinders are identified through an analysis of the singular values of a Toeplitz matrix of third order cumulants of acceleration measurements.
Analysis of the singular feedrate, singular switching function, and the net rate of catalyst mass and concentration change trajectories allowed determination of the practical operating limitations of singular control and provided an insight into the best initial and feed compositions to use.
Performance Analyzer: It allows the analysis of the case studies and further analysis of the singular points, as differentiated analysis based on the environment can be performed.
Under the Born model at least, one way to accomplish quantitative accuracy is through analysis of the singular value decomposition of the overall K matrix as is done in [ 2].
In this section, we will focus on the (H_{infty}) performance analysis of the neutral singular systems (1a), (1b) and (2a), (2b) and establish the following results.
Section 3 presents an (H_{infty}) performance analysis of the neutral singular systems and Section 4 designs PD state feedback stabilizing controllers.
The analysis of the hyper-singular integral equation further requires (43) H ⋆ ± s ≔ { v ∈ H ± s : 〈 v, 1 〉 L 2 = 0 } for 0 ≤ s ≤ 1.
Numerical analysis using the singular value decomposition of the compatibility matrix confirms the completeness of the deductions from general symmetry theorems, derived for expandohedra.
The super element is finally incorporated with standard four-node hybrid-stress elements to constitute an ad hoc hybrid-stress finite element method for the analysis of local singular stress fields arising from inclusion corners.
