# User:Peter Schmitt/Notes

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Revision as of 05:00, 28 April 2010 by imported>Peter Schmitt (format)

- 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]}

- Countable [r]: In mathematics, a property of sets — see: Countable set (A set with as many elements as there are natural numbers, or less.)

- 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]}

- Ordinal number [r]: The generalization of natural numbers (as means to order sets by size) to infinite sets.
^{[e]} - Infinity [r]:
*Add brief definition or description*

- 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 and infinite [r]: The distinction between
*bounded*and*unbounded*in size (number of elements, length, area, etc.)^{[e]} - Hilbert's hotel [r]: A fictional story which illustrates certain properties of infinite sets.
^{[e]} - Galileo's paradox [r]: The observation that there are fewer perfect squares than natural numbers but also equally many.
^{[e]} - Continuum hypothesis [r]: A statement about the size of the continuum, i.e., the number of elements in the set of real numbers.
^{[e]} - Zero (mathematics) [r]: The number of elements in an empty set, and a digit or symbol.
^{[e]}0 0 (number) zero zero (disambiguation)

- 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
**clo**sed and**open**(*clopen*set).^{[e]} - Clopen set [r]: In topology, a set with empty boundary which therefore is both
**clo**sed 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]}

- 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.

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*

- Decile [r]:

- If and only if [r]:
*Add brief definition or description* - Criterion (mathematics) [r]:
*Add brief definition or description* - Characterization (mathematics) [r]:
*Add brief definition or description*

Ludwig Boltzmann

Grave |
Grave T |
Grave B |
Grave BI |