By using Laplace transform methods, formula of solutions involving Mittag-Leffler functions (A_{alpha,beta}(w)), (alpha,betain(1,2)), (win R), and nonlocal terms of such equations are presented by studying the corresponding linear Langevin-type equations with two fractional derivatives.
So we first devised a model suitable for both priming techniques (Methods; formula (2)), which reports the presence of the physical connection between expressed TARs and known exons.
Comparative study on various deterministic methods and formulae of double layered transmission exposure buildup factors (DLEBF) for point isotropic gamma-ray sources has been performed and the results are provided here.
Aiming at predicting the dynamic, recoverable reserve and recovery of oilfields at ultra-high water cut stage, a new formula characterizing the relation between the ratio of oil and water relative permeability and the water saturation was proposed, derivation of a new water drive curve was done by reservoir engineering methods, and the formula of recoverable reserve and recovery was derived.
The shape sensitivity, called shape gradient function, is theoretically derived using the adjoint variable method and the formula of the material derivative, and then applied to a gradient method with Laplacian smoother for shells to determine the smooth optimal shape.
By means of mathematical method, a new formula of calculating the boundary dimension of cities is derived from the idea of box-counting measurement and the principle of dimensional consistency in this paper.
The dotted line fits the long-term rates by the least squares method, with a formula of y = − 0.0024 × 1/3 + 0.015.
To induce the orthogonality while keeping the compact support of (M_{n}), we put forward a simple, yet efficient construction method that uses the formula of orthonormalization procedure and the weighted average method to construct the two-scale symbol of some compactly supported orthogonal scaling functions.
Although many scholars used this method, Hubbert had not given the specific formula of the method and its derivation.
Our method requires only structural formula of chemical compound and based on the analysis of "structure reacting atom" relationships using a Bayesian approach and Labelled Multilevel Neighbourhoods of Atoms (LMNA) descriptors [18, 19].
Sociodemographic data included gender, age, geographical location, feeding method (breast milk or formula) of infants, and number of siblings for each child; age, relationship to the child, and educational level of the parent or caregiver; and family income.
