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.
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.
In this section, some detailed analysis and mathematical deduction are done to demonstrate the PDMA-PM.
In part it will be something like mathematical deduction based in fundamental reality.
We make a mathematical deduction which implies it as a generic formula.
Moreover, the paper verifies the linear relationship between oil concentration and blending capability by mathematical deduction.
The transient process of DFIGs is described under grid fault in weak grid by mathematical deduction in Sect.
