Sentence examples for depicted mathematically from inspiring English sources
The physicists describe evolution as an energy transfer process, and since physical motion always takes the path of least resistance (i.e., the principle of least action), organisms can be depicted mathematically as dissipative systems that maximize the rate of entropy production in a system.
In order to depict economic decisions mathematically, economists needed to assume that human behavior is both rational and predictable.
The fundamental formula to mathematically depict the STDP learning function is shown below [42]: varDelta w=xi left varDelta Tright)=left{begin{array}{l}{a}^{e}^{-Delta T/{tau}^kern0.6em };mathrm{if}kern0.36em Delta T>0 -{a}^{e}^{Delta T/{tau}^kern0.24em }mathrm{if}kern0.36em Delta T<0end{array}right.
The first two sections provide quantitative evidence to support our claim that two-dimensional distances in visualized networks correlate well with the underlying distances in high-dimensional space and with distances depicted by phylogenetic trees, indicating that the depictions are mathematically reasonable and comparable to an accepted standard.
The structural formula of each structure examined was input into the Proposed Structure window of StrucEluc, and all N = 2n (n – number of stereocenters) mathematically conceivable stereoisomers were generated and depicted by the program.
This is mathematically equivalent to the release rate constants depicted for the different vesicle states in the allosteric model in A and thus yields the same prediction of the non-linear relation between Ca2+ and release rate.
Mathematically, the comparison of scenario 2 can be depicted using the following equations ξ ( r ) = α (7a) ξ ( r ) = α + k r (7b).
The Gaussian MA-CIFC, as depicted in Figure 4, at time i = 1,..., n can be mathematically modeled as Figure 4 Gaussian MA-CIFC.
Representative results are depicted.
