Sentence examples for directly expanded from inspiring English sources

To solve the dual integral equations, the displacement jumps are directly expanded in a series of Jacobi polynomials.

A lab-scale twin screw extruder was used for processing directly expanded products from corn flour and apple pomace blends containing up to 22.5% total dietary fiber.

For solving the dual integral equations, the displacement jumps across the crack surfaces are directly expanded as a series of Jacobi polynomials.

To solve the dual integral equations, the jumps of displacements across the crack surfaces were directly expanded as a series of Jacobi polynomials.

To solve the dual integral equations, the displacement jumps across the crack surfaces are directly expanded as a series of Jacobi polynomials.

To solve the dual integral equations, the jumps of the displacements across the crack surfaces were directly expanded in a series of Jacobi polynomials.

It does not directly expand Medicaid, as McDonnell's letter to Sebelius notes.

But Baghdadi sought to gain influence over the increasingly powerful Jabhat al-Nusra by directly expanding ISI's operations into Syria, forming Isis in April last year.

By directly expanding the jumps in displacement across the crack surfaces into a series of Jacobi polynomials, the solution to the dual integral equations was derived.

We demonstrate that the mood stabilizer lithium directly expands pools of AHPs in vitro, and induces them to become neurons at therapeutically relevant concentrations.

Government purchases and investments expand the nation's economy, just as private sector transactions do, while benefit programs move money from one group of people to another without directly expanding economic activity.