User:Peter Schmitt/Notes: Difference between revisions

From Citizendium
Jump to navigation Jump to search
imported>Peter Schmitt
mNo edit summary
No edit summary
 
(5 intermediate revisions by one other user not shown)
Line 1: Line 1:
{{AccountNotLive}}
<noinclude>
<noinclude>


Line 55: Line 56:
:: [ {{r|sufficient condition||}} ]
:: [ {{r|sufficient condition||}} ]
: {{r|if and only if||}}  
: {{r|if and only if||}}  
:: [ {{r|iff (mathemaics)||}} ]
:: [ {{r|iff (mathematics)||}} ]
: {{r|criterion (mathematics)||}}
: {{r|characterization (mathematics)||}}
 
----
 
Ludwig Boltzmann
{|class=wikitable
|[[Image:Ludwig Boltzmann - Grave.jpg|150px]]    <br> Grave
|[[Image:Ludwig Boltzmann - Grave T.jpg|150px]]  <br> Grave T
|[[Image:Ludwig Boltzmann - Grave B.jpg|150px]]  <br> Grave B
|[[Image:Ludwig Boltzmann - Grave BI.jpg|150px]] <br> Grave BI
|}


</noinclude>
</noinclude>

Latest revision as of 03:32, 22 November 2023


The account of this former contributor was not re-activated after the server upgrade of March 2022.



  • 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]: 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 [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

Ludwig Boltzmann - Grave.jpg
Grave
Ludwig Boltzmann - Grave T.jpg
Grave T
Ludwig Boltzmann - Grave B.jpg
Grave B
Ludwig Boltzmann - Grave BI.jpg
Grave BI