In this article, we establish some integral inequalities for function with two independent variables. Also we show applications of these inequalities for finding bounds of solutions to partial differential equations.

‘ITHE partial thromboplastin time assay (PTT) as developed by Langdell et al. (1) has proved to be a very usef ul test for studying the coagulatioll mechanism silice it C 11 reveal tile al)SellCe of any factor except Factor VII and platelets. lnder rigorously cOlitrolled COll(litiOlIS, the reproducibility of tile test is satisfactory. However, any change ill tile surface of the svl’inge, test t...

The formulation of hybrid discrete choice models, including both tangible alternative attributes and latent variables associated with attitudes and perceptions has been a major topic of discussion in recent years. To estimate models with both kinds of variables, two methods have been developed: the sequential approach, where the latent variables are built before their integration with the tradi...

Motivated by instability analysis of unstable (excited state) solutions in computational physics/chemistry, in this paper, the minimax method for solving an optimal control problem with partially uncontrollable variables is embedded into a more general min-equilibrium problem. Results in saddle critical point analysis and computation are modified to provide more information on the minimized obj...

This paper mainly studies the evaluation of partial derivatives of four types of two-variables functions. We can obtain the infinite series forms of any order partial derivatives of these four types of functions by using differentiation term by term theorem, and hence reducing the difficulty of calculating their higher order partial derivative values greatly. On the other hand, we propose four ...

This paper gives a survey of some recent results on problems of identifability (or, more general, of the relation between the observations and certain system characteristics) for linear dynamic errors-in-variables models. For a large part of the paper the noise components are assumed to be mutually uncorrelated. After the general problem statement. a rather complete analysis of the single-input...

In this talk I first review at an elementary level a selection of central limit theorems, including some lesser known cases, for sums and maxima of uncorrelated and correlated random variables. I recall why several of them appear in physics. Next, I show that there is room for new versions of central limit theorems applicable to specific classes of problems. Finally, I argue that we have insuff...

AIMS To assess the contribution of the four major operational variables in the radial keratotomy operation (RK) to the correction of myopic eyes. To study the deformation of the cornea after the operation and provide some valuable references for clinical practice. METHODS The expression of the correction ratio has been deduced, which can be directly represent as the deformation ratio of the c...