negligible set

negligible set
A set that is small enough that it can be ignored for some purpose.

Wikipedia foundation.

Игры ⚽ Поможем написать реферат

Look at other dictionaries:

  • Negligible set — See also: Generic property In mathematics, a negligible set is a set that is small enough that it can be ignored for some purpose. As common examples, finite sets can be ignored when studying the limit of a sequence, and null sets can be ignored… …   Wikipedia

  • Negligible function — For other uses, see negligible. In mathematics, a negligible function is a function such that for every positive integer c there exists an integer Nc such that for all x > Nc, Equivalently, we may also use the following definition. A …   Wikipedia

  • Meagre set — In the mathematical fields of general topology and descriptive set theory, a meagre set (also called a meager set or a set of first category) is a set that, considered as a subset of a (usually larger) topological space, is in a precise sense… …   Wikipedia

  • Nowhere dense set — A subset A of a topological space X is nowhere dense in X if and only if the interior of the closure of A is empty. The order of operations is important. For example, the set of rational numbers, as a subset of R has the property that the closure …   Wikipedia

  • Polar set (potential theory) — In mathematics, in the area of classical potential theory, polar sets are the negligible sets , similar to the way in which sets of measure zero are the negligible sets in measure theory. Definition A set Z in R^n (where nge 2) is a polar set if… …   Wikipedia

  • null set — noun a) negligible set (in measure theory, a set which is negligible for the purposes of the measure in question) b) A less common name for the empty set …   Wiktionary

  • List of exceptional set concepts — This is a list of exceptional set concepts. In mathematics, and in particular in mathematical analysis, it is very useful to be able to characterise subsets of a given set X as small , in some definite sense, or large if their complement in X is… …   Wikipedia

  • Ideal (set theory) — In the mathematical field of set theory, an ideal is a collection of sets that are considered to be small or negligible . Every subset of an element of the ideal must also be in the ideal (this codifies the idea that an ideal is a notion of… …   Wikipedia

  • Null set — In mathematics, a null set is a set that is negligible in some sense. For different applications, the meaning of negligible varies. In measure theory, any set of measure 0 is called a null set (or simply a measure zero set). More generally,… …   Wikipedia

  • Strategies for Engineered Negligible Senescence — (SENS) is the name Aubrey de Grey gives to his proposal to research regenerative medical procedures to periodically repair all the age related damage in the human body, thereby maintaining a youthful state indefinitely.[1][2] The term first… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”