# User:Peter Schmitt/Notes

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• Cardinality [r]: The size, i.e., the number of elements, of a (possibly infinite) set. [e]
• Countable set [r]: A set with as many elements as there are natural numbers, or less. [e]
Countable [r]: In mathematics, a property of sets — see: Countable set (A set with as many elements as there are natural numbers, or less.) [e]
Uncountable [r]: In mathematics, a property of sets — see: Countable set (A set with as many elements as there are natural numbers, or less.) [e]
Uncountable set [r]: A set with more elements than there are natural numbers. (See: Countable set.) [e]
• Transfinite number [r]: An infinite number, either a cardinal number or an ordinal number. [e]
• Cardinal number [r]: The generalization of natural numbers (as means to count the elements of a set) to infinite sets. [e]
Aleph-0 [r]: Cardinality (size) of the set of all natural numbers. [e]
Aleph-1 [r]: The cardinality (size) of the smallest set larger than the set of natural numbers. (See: Aleph-0.) [e]
• Infinite [r]: Greater in size (number of elements, length, area, etc.) than any natural number [e]
• Infinite set [r]: The number of its elements is larger than any natural number. (See: Finite set.) [e]
• Finite set [r]: The number of its elements is a natural number (0,1,2,3,...) [e]
Finite [r]: Bounded (or limited) in size (length, area, etc., or number of elements) by a natural number [e]

• Neighbourhood (topology) [r]: In a topological space, a set containing a given point in its interior, expressing the idea of points "near" this point. [e]
Boundary point [r]: (of a set) In geometry and topology, a point such that every neighbourhood contains both points in the set and points not in the set. [e]
Clopen [r]: In topology, a combination of closed and open (clopen set). [e]
Clopen set [r]: In topology, a set with empty boundary which therefore is both closed and open. [e]
Open set [r]: In geometry and topology, a set that does not contain any of its boundary points. [e]
Closed set [r]: In geometry and topology, a set that contains its boundary; the complement of an open set. [e]

Quantile [r]: A statistical parameter that divides the range of a variable (those less and those greater than it) according to a given probability. [e]

• Percentile [r]: A statistical parameter separating the k percent smallest from the (100-k) percent largest values of a distribution. [e]
Decile [r]: Add brief definition or description
Quartile [r]: Add brief definition or description
Quintile [r]: Add brief definition or description
Distribution function (measure theory) [r]: Add brief definition or description
Cumulative distribution function [r]: Add brief definition or description : CDF [r]: Add brief definition or description CDF (disambiguation) [r]: Add brief definition or description

[ Arithmetic progression [r]: Add brief definition or description ]
[ Geometric progression [r]: Add brief definition or description ]

[ Necessary condition [r]: Add brief definition or description ]
[ Sufficient condition [r]: Add brief definition or description ]
If and only if [r]: Add brief definition or description
[ Iff (mathematics) [r]: Add brief definition or description ]
Criterion (mathematics) [r]: Add brief definition or description
Characterization (mathematics) [r]: Add brief definition or description

Ludwig Boltzmann

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