The phrase "analysis is established in" is correct and usable in written English.
It can be used when discussing the foundation or basis of an analysis within a specific context or framework.
Example: "The analysis is established in the context of recent economic trends, providing a comprehensive understanding of market behavior."
Alternatives: "analysis is grounded in" or "analysis is based on".
Based on the proposed ET scheme, a novel criterion for the asymptotic stability and H∞ performance analysis is established in terms of linear matrix inequalities.
The Mokken scale analysis is established in the context of scale development, which has been widely used in nursing [ 39, 40], psychology [ 41, 42] and quality of life research [ 12, 26, 43, 44].
The models of inertial sensors using Allan variance analysis are established in proposed algorithm and the precise Kalman filter model is obtained based on the correspondence between Allan variance coefficients and inertial sensors parameters.
The survival analysis was established in order to investigate the effect of EBV infection and other clinicopathological factors on BC patient survival (S).
Confidence in analysis is established at the component level by benchmarking finite element models of welded joints against experimental data, and axial crushing of aluminium tubes against published numerical results and theoretical prediction.
The gene set database used in the analysis is established based on prior biological knowledge.
By introducing the displacements, electric potential, magnetic potential and their dual counterparts as state variables, a symplectic analysis framework is established in the Hamiltonian system to solve the plane problem of functionally graded magneto-electro-elastic materials.
By utilizing reciprocally convex approach, firstly, sufficient reliable dissipativity analysis condition is established in terms of linear matrix inequalities (LMIs) for singular systems with time-varying delay and sensor failures.
One of the most important problems in QSAR/QSPR analysis is establishing the domain of applicability for each model [30].
In order to understand the formation of radial cracks, analysis of the cracking pattern is established in accordance with yield line theory.
As a first step toward such analysis, convergence of the algorithm is established in this paper for two special cases: single vehicle with limited sensing/moving range, and multiple vehicles with full sensing/moving range.
