The phrase "a rigorous analysis based on the" is correct and usable in written English.
You can use it when discussing a detailed and thorough examination or evaluation that relies on specific data or principles.
Example: "The research paper presents a rigorous analysis based on the latest statistical methods to ensure accuracy in the findings."
Alternatives: "a thorough examination grounded in" or "a detailed assessment relying on".
The self-tuning algorithm for the PID parameters is derived by a rigorous analysis based on the Lyapunov method such that the JITL's predicted tracking error converges asymptotically.
In fact, all suspected pore components, i.e. CyP-D, VDAC and ANT, underwent a rigorous analysis based on the ablation of their coding genes followed by investigation of PTP properties, and none of them turned out to be part of the pore, even if ANT and CyP-D are PTP regulators [18] [22], [32], [36].
In the following, a rigorous analysis based on this idea allows us to decide whether an 𝒩 with a specific number (say r) of reticulation events is feasible.
A victim of friendly fire himself, he develops individual, group, organizational, and cross-level accounts of the accident and applies a rigorous analysis based on behavioral science theory to account for critical links in the causal chain of events.
Transcripts will undergo rigorous analysis by standard thematic analysis based on the interview schedule and by schematic analysis of whole-page summations of transcripts.
MAREA provides specific guidance on data collection and formatting, and then conducts rigorous causal inference analysis based on data input by the user, providing real-time outputs about the effectiveness of the reserve.
43 The rigorous approach to study selection and inclusion criteria of this review did not provide sufficient data for subgroup analysis based on mode of ascent.
Structural Analysis Based on State Space Modeling.
(D) Similarity Analysis (Anosim Analysis) based on Unifrac algorithm.
In the whole paper, we consider all functions β that belong to the first class, and give a rigorous analysis of the calculus based on (D_{beta}).
