Sentence examples for functions are expanded in terms of from inspiring English sources

Out-of-plane stress functions are expanded in terms of harmonic series through the thickness direction and initially satisfied the traction free boundary conditions of laminates automatically.

Afterwards the distribution function is expanded in terms of a small dimensionless parameter.

After the assessment of the scaling, the distribution function is expanded in terms of a small dimensionless parameter.

Fluid velocity potential satisfying fluid boundary conditions is derived and wet dynamic modal functions of the plate are expanded in terms of finite Fourier series for compatibility requirement along the contacting surface between the plate and the fluid.

Solutions are expanded in terms of basis functions, each of which obeys the boundary conditions and can be expressed in terms of hyperspherical harmonics in five-dimensional space.

An assumed-time-modes method in which the dependent variables of the dynamics problem are expanded in terms of admissible basis functions in time is extended to include a similar representation of the control inputs.

All variables are expanded in terms of Fourier–Hermite basis functions.

In this paper, these distributions are expanded in terms of finite series of known functions of the spatial variables multiplied by undetermined coefficients.

In this method, the displacement components ui (i = x, y, z) are expanded in terms of a set of basis functions ϕ α  (r) u i ( r ) = ∑ α A αi ϕ α ( r ).

The field phasors are expanded in terms of spherical wave vector function along with assumed scattering coefficients.

They are expanded in terms of an integral transform associated to the sub-Laplacian.