Sentence examples for unique assumptions from inspiring English sources

Each data source has unique assumptions and data collection and processing methodology.

Notice that the above processes show that this unique assumption on the determinant of ℳ implies the remaining conditions of Proposition 1.

The analytical expressions of the continuous atomic displacements, lattice distortion and lattice correspondence matrices result directly from the orientation relationships; the unique assumption is that the atoms are hard-spheres that can't interpenetrate each other.

Despite the humorous, but unnecessary, emotional barometer of Joan, the flour bag baby, the best thing about this film is the very mature and unique assumption made by first-time director/writer Abe Sylvia, that audiences are not infants who need to be spoon-fed with pre-digested formulas, but grown-ups who are capable of independent thought and for whom questions may be better than answers.

In their first discourse labelled "pragmatic toolkit"–CAM is portrayed as a collection of tools that may be used to cure illness or treat symptoms, without reference to the unique philosophical assumptions of many CAM therapies.

Furthermore, under uniqueness assumption, we proved the existence of a unique solution.

The unique name assumption is used just for increasing simplicity.

For data constants, we assume the Unique Names Assumption instead.

Moreover, we also consider first-order default theories, based on domain closure and the unique names assumption.

The solution (X^{t,x}= (X_{s}^{t,x})_{sleq T}) exists and is unique under Assumption 2.1 (cf. Karatzas and Shreve [22], p.289).

The features that make PB3D unique are the assumptions on the perturbation structure through intermediate-to-high mode numbers n in general 3-D configurations, while allowing for displacement of the plasma edge.