Sentence examples for straightforwardly proved from inspiring English sources

Exact(2)

The next proposition can be straightforwardly proved.

The completeness of a system of functions on a compact interval can be straightforwardly proved, while the difficult cases are dealing with the system of functions on unbounded intervals.

Similar(58)

Furthermore, the possibility of small and local actors being used only as legal representatives of larger timber merchants or companies cannot be straightforwardly ruled out, but according to our analysis, the fear of large national or foreign capital overwhelming small and local applicants – a common concern before the tendering [33] – proved to be unfounded.

Some anonymous buyers prove to be wealthy overseas businesspeople, straightforwardly using the generous inheritance tax and capital gains tax advantages offered by Britain.

By claiming that the reference-fixing descriptive content of an expression is its meaning, descriptivist theories of reference are thus able to straightforwardly account for a variety of cases that have proven to be enduringly problematic for Millians.

Even if the best researchers in the world refused to work on technologies that abetted offensive weapons, others could easily take these proven models "off the shelf" and apply them relatively straightforwardly to new applications.

From the definition of P o ( n ), we have ε 2 ≤ P o ( n ) ≤ ε 1, which implies φ ( P o ( n ) ) ≥ 0 and then fmin(ζ i ) ≥ 0. Finally, it is known that b0 K) = f Ξ1 × (K-1)) ≥ 0, which can be extended to prove b0(w) ≥ 0, ∀w = 1, 2,..., K straightforwardly.

The experiments prove that the SW ℓ2,1-SVD algorithm can achieve better estimation performance than ℓ1-SVD algorithm that exploits straightforwardly ℓ2,1 minimization.

Thus, it is suggested, the mistake is to see Strawson's argument as straightforwardly world-directed in the way that it was presented earlier, as offering a direct response to the skeptic by proving what the skeptic doubts.

More precisely, they prove that all of the usual formulations of the Löwenheim-Skolem theorem are independent of a certain strong form of intuitionistic set theory, and they show that these formulations are also straightforwardly falsified by principles which many constructivists would want to accept.

Regression-based models (H aley and K nott 1992; M artinez and C urnow 1992) have proven to be fast and powerful at detecting QTL controlling the mean of a complex trait in experimental crosses and flexible since they are straightforwardly extended to include epistatic effects and interactions (C arlborg and H aley 2004).

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