Sentence examples for mathematically explained from inspiring English sources
The design of the optimal beam shaping module is mathematically explained and the experimental verification of the module performance is also presented in this paper.
Rather unexpectedly, the degree distribution of small-world network is mathematically explained by binomial distribution that is same as random network.
Then, the numerical simulation signal being taken as an example, the principle of matching pursuit is mathematically explained and its drawbacks are analyzed.
This enhancement of Seebeck coefficient due to the spin entropy from the varying Fe2+ and Fe3+ cations in the paramagnetic region was experimentally and mathematically explained by Nozaki et al. [45].
On the other hand, increase in the adsorbent dose promotes decrease in the amount of metal uptake per gram of adsorbent (q), (Fig. 6a, b), an effect that can be mathematically explained by combining Eqs.
Our experience of the solidity of day-to-day reality--for example the hardness of a rock--is mathematically explained in terms of the rock's elementary particles being just such smears of possibilities.
For Yang-Mills theory, one of the most important questions is to mathematically explain the mass gap, or nonzero mass, in quantum applications of the formulas.
The analysis mathematically explains that the nanoflake device produces less photocurrent but exhibits higher generation efficiency.
We formulate the problem mathematically, explain the differences with related optimization problems and indicate what makes this problem inherently more difficult.
Lagergren pseudo-first-order kinetics and second-order kinetics models are mathematically explain in their linear form by the following Eqs.
By incorporating established laws of tree allometry which explain the relationship of tree size parameters such as diameter and height the team was able to mathematically explain why the trees in Klaus's path (like those seen above) gave way once the wind speeds reached 42 m/s.
