The common formulas for calculating areas reduce this kind of measurement to the measurement of certain suitable lengths.
The success of traditional balances in modern times has relied on the elastic properties of certain suitable materials, especially quartz fibres, which have great strength and elasticity and are relatively independent of the effects of temperature, hysteresis, and inelastic bending.
Practical solutions are then obtained through an often extended interplay of experienced manual adjustment of certain suitable parameters and local searches by varying other parameters.
The results show that the global entropy generation rate is minimized for certain suitable combination of the geometrical and physical parameters of the system.
The proposed backstepping procedure, in association with sliding model control technique, exploits the possibility of avoiding, under certain suitable assumptions, the overparameterization problem existing in the classical backstepping process.
The segmentation problem can be formulated as follows: given an image I ∈ L2 on a two-dimensional domain Ω (assumed to be bounded, smooth, and open), one seeks out a closed 'edge set' C and all the connected components Ω1,…,Ω k of ΩC, so that by certain suitable visual measure, the image I is discontinuous along C while smooth or homogeneous on each segment Ω i (i = 1, …, k).
By means of variational arguments and analytic techniques, the authors established the existence of positive solutions to (1.3) under certain suitable conditions on the parameters (mu_{i}), (q_{i} (i=1, 2)) and (a_{j}inmathbb{R} (j=1, 2, 3)).
Some sufficient conditions for the existence and uniqueness of nontrivial solutions are established under certain suitable growth conditions, our proof is based on Leray-Schauder nonlinear alternative and Schauder fixed point theorem.
They also proved that, under certain suitable conditions, there is a small traveling wave train solution of system (1.1).
We offer new technique for investigation property (A) of (E) based on the comparison theorems, in which we reduce property (A) of (E) to the absence of certain positive solution of the suitable second order differential inequality.
Moreover, applications to problems in several variables can be found thanks to a Sobolev-type theorem which ensures the Hölder continuity of certain functions out of a suitable neighborhood of their discontinuity set.
