Sentence examples for mathematically explain from inspiring English sources

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.

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.

Cosmologists as a group are well aware that a Theory of Everything--a final, neat formulation that will mathematically explain how the fundamental forces in Nature are related--is further away than ever.

A (also called an analytical component model) is able to mathematically explain each of the separate physical processes and then combine the separate effects.

Can this be scientifically measured and mathematically explained?

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.

Then, the numerical simulation signal being taken as an example, the principle of matching pursuit is mathematically explained and its drawbacks are analyzed.

The analysis mathematically explains that the nanoflake device produces less photocurrent but exhibits higher generation efficiency.

Rather unexpectedly, the degree distribution of small-world network is mathematically explained by binomial distribution that is same as random network.