The phrase "analytical derivations" is correct and usable in written English.
It can be used in contexts related to mathematics, science, or research where one discusses the process of deriving results or conclusions through analytical methods.
Example: "The paper presents several analytical derivations that support the proposed model's validity."
Alternatives: "analytical calculations" or "analytical results".
J.B.K. performed analytical derivations and G.S. carried out numerical analysis.
A patched corridor is devised to manage the lateral state based on analytical derivations and reasonable approximations.
In this paper, analytical derivations are developed to express the UED not only in clay but also in sand.
One of the advantages of the bootstrap methods is that they can be used without analytical derivations.
Both examples are supported via simulation and the results, which confirm analytical derivations, are presented and discussed.
Magnetostrictive Galfenol is chosen to illustrate the effectiveness of the inverse model, and compact analytical derivations of the Jacobian and Hessian matrices are presented.
Analytical derivations and numerical modelling show that the three tolling schemes have different optimal toll schedules and reduce total social costs by different percentages.
Analytical derivations employed for small signal stability analysis based on linearized equations are described, and the influence of leading design parameters on system stability is evaluated.
Despite the simplifications introduced to enable the analytical derivations, we account for many physically relevant aspects including tissue heterogeneity, poroelasticity, blood perfusion, and nanoparticles absorption onto tissue.
De Wit performed new analytical derivations from the first principles of radiative transfer, and found that an 18th-century mathematical constant called the Euler-Mascheroni constant helps to reveal the individual effects of each parameter.
For principle axis reorientation, numerical results and analytical derivations show that, multiple time-optimal solutions exist and relations between them are given.
