In mathematics, coarse functions are functions that may appear to be continuous at a distance, but in reality are not necessarily continuous.[1] Although continuous functions are usually observed on a small scale, coarse functions are usually observed on a large scale.[1]

See also

edit

References

edit
  1. ^ a b Chul-Woo Lee and Jared Duke (2007), Coarse Function Value Theorems. Rose-Hulman Undergraduate Mathematics Journal 8 (2)


Stub icon

This geometry-related article is a stub. You can help Wikipedia by adding missing information.

📚 Artikel Terkait di Wikipedia

Coarse structure

In the mathematical fields of geometry and topology, a coarse structure on a set X is a collection of subsets of the cartesian product X × X with certain

Continuous function

Classification of discontinuities Coarse function Continuous function (set theory) Continuous stochastic process Normal function Open and closed maps Piecewise

Coarse-grained modeling

Coarse-grained modeling, coarse-grained models, aim at simulating the behaviour of complex systems using their coarse-grained (simplified) representation

Mathematical optimization

solutions. The function f is variously called an objective function, criterion function, loss function, cost function (minimization), utility function or fitness

Coarse woody debris

provides many of the same functions as coarse woody debris. The minimum size required for woody debris to be defined as "coarse" varies by author, ranging

Multigrid method

hence it can be coded using recursion. Since the function calls itself with smaller sized (coarser) parameters, the coarsest grid is where the recursion

Protein

long chains of amino acid residues. Proteins perform a vast array of functions within organisms, including catalysing metabolic reactions, DNA replication

Wavelength-division multiplexing

(WDM), coarse (CWDM) and dense (DWDM). Normal WDM (sometimes called BWDM) uses the two normal wavelengths 1310 and 1550 nm on one fiber. Coarse WDM provides