If the past is any guide, modelers will be able to abandon parameterizations one by one, replacing them with mathematical representations of real physical processes.
When shrunk, bitmaps may become illegible or muddy.Vectors are mathematical representations of the arcs and straight-line segments.
The vectors -- mathematical representations of information -- in those 100 dimensions represent basic faces from which any other face can be constructed.
He started with a geometry known as "random close packing" based on Voronoi cells, which are good mathematical representations of many natural structures.
When Lisi finished graduate school, he wanted to work on spinor fields, mathematical representations of particles like electrons, which had conventionally been expressed algebraically but Lisi thought might plausibly be expressed in more geometric terms.
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).
The most prominent variants of the second category are Bayesian theories of probability and mathematical representations of subjective expectation.
They include mathematical representations of the physiological processes involved, such as photosynthesis, respiration, or nutrient uptake.
Now, smooth coordinate changes applied to such a description will generate distinct mathematical representations of that Humean mosaic, given using distinct coordinatizations of the field-stuff.
