Sentence examples for range of proof from inspiring English sources

A wide range of proof styles is discussed and the fundamental bridge between proof-theoretical and semantic investigations is described.

Another requires public schools to accept a broad range of proof-of-residency documents when enrolling students to ensure compliance with Plyler v. Doe, the Supreme Court decision that guaranteed all children a public education regardless of immigration status.

In a proof about triangles for instance, variation among the configurations in the range of the proof is variation of exact properties e.g., the measure of the triangles' angles, the ratios between their sides.

What is the justification for treating properties of a single geometric diagram as representative of all the configurations in the range of a proof?

The co-exact properties of a diagram can be shared by all geometric configurations in the range of a proof, and so in such cases one is justified in reading off co-exact properties from the diagram.

Corollary 2 If d ( R ( T ), ∂ C ) ≜ inf { ∥ x − y ∥ ∣ x ∈ Fix ( T ), y ∈ ∂ C } > 0 and ∑ 1 ∞ t n < ∞, then { x n } generated by (2.3) converges strongly to x † = P Fix ( T ) 0, where R ( T ) is the range of T. Proof It suffices to verify that d ( R ( T ), ∂ C ) > 0 implies ∑ n = 1 ∞ ( 1 − λ n ) = ∞.

Likewise, this range of slash-proof streetwear did not exist until last year.

Chia layers on proofs of time that thwart a range of attacks on proofs of space.

Unlike a criminal or civil case which impose "beyond a reasonable doubt" and "preponderance of the evidence" standards, respectively, the NFL seemingly has free range in its standard of proof analysis.

Studies in the literature range from proof of principle [ 17] and motion correction of MR data using ultrasound imaging [ 18– 20] to interventional procedures such as breast biopsy guidance [ 21].

The range of examples aren't proof of a total sea change though.