Sentence examples for various types of conditions from inspiring English sources
Since then, many scholars have studied the existence of fixed points or solutions of nonlinear equations under various types of conditions in Menger spaces (see [2 8]).
Many results on the existence of fixed points or solutions of nonlinear equations under various types of conditions in Menger spaces have been extensively studied by many scholars (see, e.g., [8, 9]).
Many results for the existence of fixed points or solutions of nonlinear equations under various types of conditions in Menger probabilistic spaces (briefly, PM-spaces) have been extensively considered by many scholars [7 22].
The server provides various types of conditions, such as a metadata conditions which can be used to filter results based on simple attributes such as the name of the architect.
Many results on the existence of fixed points or solutions of nonlinear equations under various types of conditions in Menger spaces have been extensively studied by many scholars (see [14 18]).
Fixed point theory in a probabilistic metric space is an important branch of probabilistic analysis, and many results on the existence of fixed points or solutions of nonlinear equations under various types of conditions in Menger PM-spaces have been extensively studied by many scholars (see e.g. [3, 4]).
Finally, the affecting parameters on the results are examined in detail such as the plate size, orthotropic effects of material, nonlocal effects, van der Waals force including its nonlinear term and various types of boundary conditions, even the free edges.
To establish a rigorous mathematical foundation for a recently developed tension determination method incorporating the mode shape functions, the frequency equations and mode shape functions for the vibrating cables with various types of boundary conditions are first derived in this research.
Various types of boundary conditions are considered.
In this setup, FLSQ is tested under various types of mismatch conditions.
Finally, the results obtained are applied for various types of boundary conditions.
