Sentence examples for mathematical representations do from inspiring English sources

Mathematical representations do not suffer from this limitation, if their level of abstraction can be justified biologically.

Unlike for unitary transformations in general, the physical polarization state of the field does not change in an orthogonal transformation, although its mathematical representation does.

While he did not make statements about the usefulness of the mathematical representations or exhibit the same affective responses that Ashlyn did, his epistemological stances were similar to Ashlyn's.

The second signal FH pulse is admittedly more difficult to reproduce and predict, as its time-frequency representation does not follow any mathematical function.

Instead of simply submitting to Kant's injunctions against the very possibility of a scientific psychology, Wundt finds that certain aspects of our inner experience can be, and in fact have been made susceptible to experiment and mathematical representation: Weber and Fechner did this.

Graphs serve as convenient mathematical representations of network models and have themselves become objects of study.

As such, it does not introduce any further statistical properties beyond those of G itself, but simply allows for brevity in mathematical representations.

Artificial intelligence models are trained with millions of facial images and — depending on the use case — are designed to generate mathematical representations of a human face (called embeddings).

Others preceded and followed in expanding mathematical representations of economic problems.

Early mathematical representations of infectious disease dynamics assumed a single, large, homogeneously mixing population.

It thus seems both prudent and pragmatic to explore alternative mathematical representations of microbial evolution.