Sentence examples for required to represent a from inspiring English sources
The algorithm yields the minimum number of dimensions required to represent a matrix or linear transformation.
In general, more samples are required to represent a distribution of more than one variable.
So, precise understanding about interaction among connection components on moment rotation behaviour is required to represent a straightforward and accurate mechanical model of the connection.
Combining everything, the average number of bits required to represent a 3 × 2 unitary beamforming matrix using our proposed scheme can be computed as the following: Ave bits required: E b ψ 21 + E b ψ 31 + E b ϕ 11 + b ϕ 21 + E b ψ 32 + E b ϕ 22 = 1.93862 + 1.77284 + 5.0592 + 1.93862+ 2b = 12.
The dual of such a graph cannot exist, but is the graph required to represent a generalised mesh elimination.
Furthermore, the corresponding hippocampal activations have been shown to increase parametrically with the amount of geometrical information required to represent a visuo-spatial scene, but not with scene complexity or task difficulty [41].
Image compression reduces data required to represent an image; it reduces the storage and transmission requirements.
A more complex function would be required to represent complexities such as a potentially increased incidence in elderly age categories.
A fillable section within the structure was required to represent activity distributions within a liver.
According to Shannon's source coding theorem or noiseless coding theorem (assuming a noiseless telephone line with no loss of information), the minimal physical resource required to represent the message (effectively, a lower bound on the possibility of compression) is given by the Shannon entropy of the source.
