Sentence examples for rigorously satisfy from inspiring English sources
The authors have to rigorously satisfy statistical significance using a) t-test for significance of spot differences/semi-quantitative RT PCR, or b) Fisher's exact test for categorical data (for functional enrichment), as is the case.
Compatibility and equilibrium conditions at the interfaces of the layers, with isotropic or orthotropic properties, are rigorously satisfied through defining a characteristic problem.
We present a new three-dimensional finite element technique to solve efficiently flows in a representative porous volume with fibrous microstructures, which employs a fictitious domain method to deal with immersed microstructures and a mortar-element method to satisfy rigorously the tri-periodic boundary condition for the representative volume element.
This construction can too be rigorously shown to satisfy all of the real axioms after defining an equivalence relation over the set that defines 1 =eq 0.999... as well as for any other nonzero decimals with only finitely many nonzero terms in the decimal string with its trailing 9s version.
Concerns can be raised about the vagueness of the three standards, the potential for disagreement about their interpretation and application, and the extent to which the Mohists apply them fairly and rigorously (does belief in ghosts really satisfy the second and third standards?).
It is regarded to be advantageous that our method does not require any connectivity information of cables and struts to be known in advance, while the obtained tensegrity structure is guaranteed to satisfy the discontinuity condition of struts rigorously.
Since the DNS statistics satisfy a one-dimensional unsteady problem with rigorously defined boundary and initial conditions, and since the flow contains many of the essential features found in suddenly decelerated boundary layers, this allows an efficient and straightforward but non-trivial assessment of the closures.
New development methods such as "lean production" promise to satisfy the new criteria as they emphasize mass-customization by rigorously applying a pull-principle throughout the whole development process.
Sufficient conditions to satisfy both the primary conservation (PC) and kinetic energy preservation (KEP) properties are rigorously derived by polynomial-based analysis for a general FR framework.
They were satisfied "to satisfy themselves".
