The phrase "implicit expressions" is correct and usable in written English.
You can use it when referring to something that is implied or suggested rather than stated directly. For example, "She had many implicit expressions of gratitude as she thanked the volunteers for helping to rebuild her home."
In the present paper we use a general approach based on implicit expressions with hyperelliptic integrals [15, 16], recently revisited in [17].
Then, we prove that the same method can be extended for the exponential window case, while the main difference here is that we are able to use the implicit expressions to determine this Borel set.
The model is based on combining the Hertzian contact stiffness and the effective local membrane and bending stiffness to derive implicit expressions for global impact characteristics including the duration of impact, the peak force transmitted, peak global acceleration of shell and sphere, and the resultant pressures induced in the fluid.
This has been done for isothermal absorption of a pure gas A in a solvent containing a reactive component B. Component A is allowed to react by a unimolecular chemical reaction or by a bimolecular chemical reaction with B to produce component C. Since the Maxwell-Stefan theory leads to implicit expressions for the absorption rates, approximate explicit expressions have been derived.
Figure 1 extends this approach by including both explicit and implicit expressions of hospice patients' needs.
With the emergence of the civil rights movement in the 1950s, "Come By Here" went from being an implicit expression of black liberation theology to an explicit one.
As such, nationality law can be interpreted as an implicit expression of a national self-representation.
We use the implicit expression of the cubic in barycentric coordinates.
Such an implicit expression enables us to create a distinct interface between the free space and conducting phase (metal).
An implicit expression of the minimum rolling thickness was then derived from the rolling force equation and Hitchcock equation.
The closed-form frequency response relation is determined at the first order, and an implicit expression is obtained for the second-order approximation.
