Sentence examples for in a mathematical form from inspiring English sources

Schrödinger expressed Broglie's hypothesis concerning the wave behaviour of matter in a mathematical form that is adaptable to a variety of physical problems without additional arbitrary assumptions.

In this study, we suggest a customized model describing optical phenomena at the surface of a lenticular array for autostereoscopic displays in a mathematical form and analyzed the optical characteristics of lenticular array for the first time.

The model explicitly describes in a mathematical form classical non-ideal sorption phenomena such as selectivity, irreversibility and interaction between sorbed species which previously have only been understood from a chemical viewpoint.

Subsurface simulators represent the physical processes of flow and transport in a mathematical form.

From the Formula (1), which represents the binary tree in a mathematical form, and Figure 3, it can be noticed that the starting position of every fraction is in the middle of two successive slot schedules of the previous fraction.

However, in reality, customers' utility functions may not be able to be represented in a mathematical form such as those in [17, 18, 19] simply because customers usually use their energy heuristically and their behavior patterns could change with time.

Kolmogorov derived a mathematical form in 1941, and evidence, in the form of measurements, has been accumulating ever since.

The three-stage stochastic programming model considered in this paper is described in a precise mathematical form in the Appendix.

One half of the system is its "representation" part, which can observe a given 3D scene from some angle, encoding it in a complex mathematical form called a vector.

Note that in (30), f cannot be solved in a closed mathematical form.

The ability to provide the relationship between a set of inputs and the corresponding outputs in a simple mathematical form accessible to the users is the main advantage of the GP over the ANNs.