First Derivatives versus Second Derivatives
نویسنده
چکیده
Suppose we continue to consider our two systems, and ask what happens if we allow them to exchange volume as well as energy? (We’re placing them in mechanical as well as thermal contact.) Again, the total entropy must be a maximum with respect to exchanges of energy and exchanges of volume. Working through similar mathematics, we find an expression for the change in total entropy and insist that it be zero (so the entropy is maximum) at equilibrium,
منابع مشابه
Analysis of Natural Frequencies for a Laminated Composite Plate with Piezoelectric Patches using the First and Second Eigenvalue Derivatives
In this paper, the first and second order approximations of Taylor expansion are used for calculating the change of each natural frequency by modifying an arbitrary parameter of a system with a known amount and based on this approximation, the inverse eigenvalue problem is transformed to a solvable algebraic equation. The finite element formulation, based on the classical laminated plate theory...
متن کاملA modification of Chebyshev-Halley method free from second derivatives for nonlinear equations
In this paper, we present a new modification of Chebyshev-Halley method, free from second derivatives, to solve nonlinear equations. The convergence analysis shows that our modification is third-order convergent. Every iteration of this method requires one function and two first derivative evaluations. So, its efficiency index is $3^{1/3}=1.442$ that is better than that o...
متن کاملA QSAR Study of 2-carboxamide-1,4-di-N-oxide quinoxaline Derivatives
A set of density functional theory (DFT) calculations were performed on 2-carboxamide-1,4- di-N-oxide quinoxaline (2CdNOQ) derivatives. The optimized structure of these compounds in three forms was obtained. Some electronic parameters including dipole moment (μ),ionization potential (I), electron af finity (A), LUMO energy (εLUMO), HOMO energy (εHOMO),electronegativity (χ), hardness (η), ele...
متن کاملJump Detection in Regression Surfaces Using Both First-Order and Second-Order Derivatives
We consider the problem of detecting jump location curves of regression surfaces. In the literature, most existing methods detect jumps in regression surfaces based on estimation of either the first-order or the second-order derivatives of regression surfaces. Methods based on the first-order derivatives are usually better in removing noise, whereas methods based on the second-order derivatives...
متن کاملEffect of acute administration of gliclazide on the glucose sensitivity of pancreatic B-cells in healthy subjects.
1. Sulphonylurea derivatives are commonly used in the treatment of non-insulin-dependent diabetes mellitus. It is, however, unclear whether the hypoglycaemic effect of sulphonylurea derivatives is additive to the effect of glucose, or whether sulphonylurea derivatives act by increasing B-cell glucose sensitivity. 2. We assessed the effect of gliclazide on glucose-stimulated insulin secretion in...
متن کامل