Sentence examples for mathematically expresses from inspiring English sources

A typical analytical model mathematically expresses the Multiple-Input Multiple-Output (MIMO) channel matrix as a function of a random Gaussian-fading matrix and various channel correlations or steering vectors, without specifying any value for these parameters.

Equation 1 mathematically expresses that heritability is the proportion of phenotypic variance explained by the genetic risk distribution.

Einstein mathematically expressed the statistical nature of the three possible radiative transition routes (spontaneous emission, stimulated emission, and absorption) with the so-called Einstein coefficients and quantified the relations between the three processes.

It concerned the use of mathematically expressed algorithms or physically constructed computers to predict the future of a system, such as the weather, that includes random components i.e., an automaton in Turing's logical sense immersed in a random environment.

This function is mathematically expressed as follows.

It is mathematically expressed as (24).

This correlation can be mathematically expressed using Eq. (9).

Since Galilei, our best theories from the natural sciences are mathematically expressed.

The signal received at the base station can be mathematically expressed as (1).

Therefore, the anomaly is mathematically expressed in the second term of Eq. (7).

Transportation accessibility is mathematically expressed as a function of transportation network density and travel time index.