Sentence examples for calculation and proof from inspiring English sources

On Wittgenstein's view, we invent mathematical calculi and we expand mathematics by calculation and proof, and though we learn from a proof that a theorem can be derived from axioms by means of certain rules in a particular way, it is not the case that this proof-path pre-exists our construction of it.

Another calculation and proof test on atoms was made in [6] for n = 3 in Equations 4 and 5; however, they used HF-SCF one-electron density and accurate Eelectr,0 to fit the parameters of Equations 4 and 5, i.e., not a direct calculation for ρ0 and Eelectr,0, but a fit after an ab intio calculation.

This study suggests that the mass calculation and isotopic proof provide a better understanding for riverine N budget and biogeochemical processes.

By a methodology determining the highly stressed areas, the load spectrum for different operational conditions by service strain measurements, the component related material behaviour, fatigue-life calculations and laboratory proof tests, criteria for optimum design, material selection and quality control were worked out.

Even though the mechanism still has many calculations and experimental proofs which are required to be specified, such inspiration will contribute to improve the discussion of the mechanism of BHT enhancement on nanostructured surfaces.

We may similarly repeat the calculation [6, Proof of Theorem ], and then we obtain the results.

We shall provide a uniform and calculation-free proof of the existence of these elements using Steinberg's theorem ("Serre Conjecture I").

But Yevhen Marchuk, Ukraine's security chief, said "experts need calculations and facts as proof".

But a closer look at the movie's knockout finale is proof of the meticulous calculation and technique that crafted the sleeper hit that's earning Oscar buzz.

Oh, and Proof.

The calculation gives proof of the hypothesis that the fibre-load-angle of the penis is less than 12 degrees.