The many physical parameters and complicated physics render a theoretical description difficult but some properties of the equations help to interpret behaviour.
We can build mathematical models to render a simplified description of, say, liquid in a vessel, but to completely describe it with mathematics would require an infinite number of variables.
The resolution limit in z-direction and the tilted PDMS-surface through which the laser beam had to pass, render an exact description of the profile at the septum challenging, However a confocal x/z-scan of the septum is depicted in Figure 6 figure supplement 3C.
These time series were sampled in several points on three different existing railway catenary systems, rendering a good description of the system damping in the frequency range of 0 20 Hz.
A typical human chromosome has a length of about 100 mega basepairs (Mb), rendering a detailed description on the molecular level computationally impossible.
However, freely moving worms have highly unsteady kinematics – worms typically switch between active foraging and resting periods – and their trajectories are complex, rendering a quantitative description difficult.
The extensive transcriptome data set renders a complete description of genes differentially expressed in spearmint PGT.
In a borough of immigrants from more than 100 nations, firefighters say emergency calls can come in languages, dialects and accents that render an address or a description of a fire scene beyond their comprehension.
But for younger and less sophisticated readers (for whom it is almost impossible to find a new book with a carefully rendered description of a first kiss), this could be a winner.
Write a description of services rendered.
In the next decade or two, an algorithm could spot a dog in an old photo of you, match that dog to another photo on a family member's album, retrieve the name from that description, and render a security question like "Name of first pet" completely obsolete.
