The fitted polynomial equation, aiming at visualizing the relationship between the response and experimental levels of each factor, developed the final response surfaces and deduced the optimum conditions [13, 14].
The early success of Black-Scholes encouraged the financial sector to develop a host of related equations aimed at different financial instruments.
A series of new mixed-effects models have been reported recently, and we present herein a synthetic view of models with published mathematical equations aimed at describing the dynamics of tumor size in cancer patients following anticancer drug treatment.
Recently, spectral Galerkin methods were developed for space-fractional diffusion equations aiming at achieving exponential convergence.
Injecting Mr. Buffett into the equation is aimed at persuading Avon to come to the negotiating table.
The text, uncluttered by equations, is aimed at the general reader; yet all the relevant mathematics are gathered in an appendix.
We did not consider χ², t, and F tests that were used in regression analysis or model fitting, because statistical tests of regressions are often not presented fully and because model fitting (e.g., in structural equation modeling) normally is aimed at not rejecting the null hypothesis.
The theoretical discussion based on the modeling of the bubble dynamics equations aims at understanding the design information related to the dependency of the cavitational intensity on the operating parameters and recommendations have been made for the choice of the optimized conditions of operating parameters.
However, because the exocytosis process is highly conserved between different cell types, we integrated these rate constants into our kinetic equations which aim at providing insights into fundamental regulatory mechanisms of protein interaction among two essential protein families (SM and SNARE) during almost every type of exocytosis process [ 14, 16].
Numerous efforts to develop hierarchies exist in the literature, however, they are not specifically aimed at difference equations per se and generally not for three-term recurrence relations.
