A construction is given for a planar rational Pythagorean hodograph spiral which interpolates any two-point G Hermite data that a spiral can match. When the curvature at one of the points is zero, the construction gives the unique interpolant that is the involute of a rational Pythagorean hodograph curve of the form cubic over linear. Otherwise, the spiral comprises an involute of a Tschirnhaus...

This study investigates the relationship between market orientation, intellectual capital, and new product success, and integrates the internal and external views to examine the effects of market orientation and intellectual capital on new product success. Travel agencies within the Taiwan tourism industry were targeted. A questionnaire was mailed to 1000 agencies, yielding 182 valid survey ins...

In this paper we establish the generalized Simons' equations satis ed by the second fundamental form of a general immersion Mp ,! Mn. We then specialize these equations to the case of an immersion with constant mean curvature (or parallel mean curvature vector) in a space form.

based on the carnahan and starling hard sphere equation of compressibility, an equation of state has been derived. conditions that must be met by all equations of state are applied in order to obtain attractive term or non - ideal compressibility term of the equation. second virial coefficient and acentric factor arc used in the derivation of the equation of state. in this equation, compressibi...

we prove the generalized hyers--ulam stability  of n--th order linear differential equation of the form $y^{(n)}+p_{1}(x)y^{(n-1)}+ cdots+p_{n-1}(x)y^{prime}+p_{n}(x)y=f(x)$, with condition that there exists a non--zero solution of corresponding homogeneous equation. our main results extend and improve the corresponding results obtained by many authors.

in this paper, the exp-function method, with the aid of a symbolic computation system such as maple, is applied to the (2+1) -dimensional calogero bogoyavlanskii schiff equation. exact and explicit generalized solitary solutions are obtained in more general forms. the free parameters can be determined by initial or boundary conditions. the method is straightforward and concise, and its applicat...

‎in this paper‎, ‎we consider an inverse boundary value problem for two-dimensional heat equation in an annular domain‎. ‎this problem consists of determining the temperature on the interior boundary curve from the cauchy data (boundary temperature and heat flux) on the exterior boundary curve‎. ‎to this end‎, ‎the boundary integral equation method is used‎. ‎since the resulting system of linea...

By a numerical continuation method called a diagonal homotopy, one can compute the intersection of two irreducible positive dimensional solution sets of polynomial systems. This paper proposes to use this diagonal homotopy as the key step in a procedure to intersect general solution sets that are not necessarily irreducible or even equidimensional. Of particular interest is the special case whe...