Sentence examples for mathematical deduction from inspiring English sources

A mathematically rigorous systematic targeting approach is then obtained by mathematical deduction.

But their frequent appearances make it harder, by a mathematical deduction of their slots from the total, for newcomers to break into the festival.

Their speculation about a hard, indivisible fundamental particle of nature was replaced slowly by a scientific theory supported by experiment and mathematical deduction.

By pure mathematical deduction, Newton showed that these two general laws (whose empirical basis rested in the laboratory) implied, when applied to the celestial realm, Kepler's three laws of planetary motion.

Before proceeding as far as this, however, attention must be paid to the mechanical studies of Galileo Galilei, the most important of the founding fathers of modern physics, insofar as the central procedure of his work involved the application of mathematical deduction to the results of measurement.

In part it will be something like mathematical deduction based in fundamental reality.

Hence, mathematical deductions are relegated to the appendices.

In the third section, some fundamental mathematical deductions and main propositions are demonstrated.

If experiment-based and mathematical deductions are disparate scientific approaches, they coalesce particularly well in human physiology.

By Melnikov's method and rigorous mathematical deductions, the optimization solutions for the amplitude coefficients to be used as the control parameters can be obtained, and the force term as the controller can be designed.

Our framework allows these conclusions to be reached by elementary mathematical deductions, without the need for the numerical simulations undertaken by Hathaway et al. We now turn back to gene regulation and to one of the very few models in which a non-equilibrium mechanism has been rigorously analysed without assuming detailed balance.