Active coping, which includes activities such as problem solving, expression of emotion, participation in health enhancing behaviors, and information seeking, is thought to have beneficial health effects [ 10].
STEPS stores the MathML expressions in Python structures, updates variables in the expressions during simulation, and can solve the expressions whenever necessary.
Then are reduced to Mathieu-Hill equation and by solving the expressions for the boundaries of instability regions of EG sandwich cylindrical shells are obtained.
Based on the analytical solution, Reddy's third order shear deformation theory (TSDT) with the geometrical nonlinear in von Karman and Airy stress functions method, Galerkin method and the fourth-order Runge-Kutta method, the resulting equations are solved to obtain expressions for nonlinear motion equations.
The quadratic relation between {fprpep, tprpep} and {fprfrag, tprfrag} may then be solved to obtain expressions for the latter quantities in term of the former ones.
In previous works [1, 2] the complex propagation constant was obtained by solving this expression.
The process of reduction of a partial differential equation into a matrix ordinary differential equation through a spatial discretization procedure, and then solving this expression using a time integration technique, is referred to as the numerical method of lines.
The MU position,, is obtained as the result of solving the expression (11). Figure 6 Least-squares solution of the six radical axes that correspond to four circles.
Differentiating the Lagrangian w.r.t. the data powers, equating the derivatives to zero and solving such expression for the data powers yields {p}^{star}_{kell}left textbf{n},{textbf{p}},boldsymbolPsiright) = left(frac{G_{kell}left textbf{n},{textbf{p}}right)n_{kell}}{ln(2) lambda_{ell}} - frac{left(theta P^{ell star}_{text{RAD}} + A_{kell}right)n_{kell}}{M_{D}}right)_{0}^{infty}, (13).
After, the minimization of the objective function with respect to the prototype vector is prevented from entering a new iterative cycle to solve the expression (7) (we must remember that the FCM algorithm is an iterative method), so instead of using the W-estimators, we use the influence function ψ.
