Sentence examples for mathematically analyzing from inspiring English sources

Indirect techniques use X-rays or neutron beams and obtain their information by mathematically analyzing the radiation scattered or diffracted by the nanoparticles.

Ilan's billiard-ball diagrams were part of a tradition (the seminal work is Feynman and Wheeler's 1949 Advanced Absorber Theory) of mathematically analyzing a simplified version of the paradox: imagine a billiard ball enters a wormhole, and then emerges five minutes in the past, on track to hit its past self out of the path that sent it into the wormhole in the first place.

However, it is difficult to balance the energy consumption of each node through node deployment, so there will still be some nodes that have residual energy; therefore, by mathematically analyzing, adjusting the duty cycle of node can affect the energy consumption and also affect the delay.

On the other hand, it is possible to study algorithms for neural computation by simulating, or mathematically analyzing, the operations of simplified "units" that have some of the properties of neurons but abstract out much of their biological complexity.

We attempt to answer this question by mathematically analyzing the forces working on the samples while they are mounted on the operating RPM and by comparing data obtained under real microgravity in space and simulated microgravity on the RPM.

After the data is mathematically analyzed, the scientists can calculate how much the earthquake waves would be amplified if there were a seismic event.

By using slow movements of large wings in a viscous medium, they were able to mathematically analyze the fast movements of tiny wings in air.

Maria McNamara, a paleobiologist at Yale University, and her colleagues used electron microscopy to study the moth's scales, and then mathematically analyzed the scale structure to determine what the colors originally were.

3M, the St. Paul, Minn., conglomerate, is using Microsoft's new Azure cloud service to allow advertisers and marketers to tap into a service that mathematically analyzes promotional images and evaluates how visually effective they are likely to be.

The existence and uniqueness of τ * were mathematically analyzed.

In this section, we mathematically analyze our proposed architecture.