So by dominated convergence theorem, the limit lim Θ h → 0 (which arises while defining the partial derivate) can be taken inside the integral for every i,j,l,r and this establishes the existence of component wise partial derivative, ∂f ∂Θ Θ, Π ( i, y ).
Furthermore the method was applied to a mixture of components to analyze effect of co-existence of components on RE.
The results show the existence of two components of non-elastic deformation, i.e. a fast-relaxing component (called anelastic) and a slow-relaxing component (usually called plastic).
Special attention is given to the phenomena arising due to the motion of the attached mass and modal interactions produced by the existence of multi-component, specifically two-component, parametric resonance under primary resonance.
For any R ∈ M, there is at least one essential component of Ξ ( R ) with respect to M. Next, we discuss the existence of essential components for (SQVR).
The initial PCA (varimax rotation, no factors specified) did not converge but a review of the components with eigenvalues >1 [ 35] and the scree plot [ 36] suggested the existence of six components.
Jiang [3] introduced the notion of essential components of the set of Nash equilibrium points for an n-person non-cooperative game and proved the existence of essential components of the set of Nash equilibrium points.
Next, we discuss the existence of essential components for (SQIP).
Next, we discuss the existence of essential components for (WSQVEP).
