Difference between revisions of "Category:Venn diagrams"
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− | + | *These are comics that relate to {{w|Venn diagram}}s. | |
− | + | **They should not be confused with [[:Category:Euler diagrams|Euler diagrams]] although some of the comic that mention Venn diagrams actually shows Euler diagrams instead. | |
− | In a Venn diagram every possible intersection must be shown. In general for an n component Venn diagram there are 2<sup>n</sup> hypothetically possible zones, corresponding to some combination of inclusion or exclusion in each of the component sets. A Venn diagram with 2 circles, see [[668: Pandora]], has 2<sup>2</sup> = 4 zones; one overlap zone, two zones without overlap and one outside zone. | + | **If Venn diagrams are mentioned, even though it is an Euler diagram, not a Venn diagram, then they will still be included here. |
− | + | *[[Randall]] seems to have made mistakes, or maybe done this on purpose as indicated with the comic [[2721: Euler Diagrams]]. | |
− | [[2122: Size Venn Diagram]] is the first comic to include five components, previously only Venn diagrams with two or three circles have been used in xkcd. | + | **A Venn diagram shows all possible combinations of two or more sets, including those with no elements, and therefore all of the circles must intersect. |
+ | **An Euler diagram only depicts the non-empty combinations, and therefore does not have this constraint. | ||
+ | ***All Venn diagrams are also Euler diagrams, but not the other way around! | ||
+ | *In a Venn diagram every possible intersection must be shown. | ||
+ | **In general for an n component Venn diagram there are 2<sup>n</sup> hypothetically possible zones, corresponding to some combination of inclusion or exclusion in each of the component sets. | ||
+ | **A Venn diagram with 2 circles, see [[668: Pandora]], has 2<sup>2</sup> = 4 zones; one overlap zone, two zones without overlap and one outside zone. | ||
+ | **[[2122: Size Venn Diagram]] is the first comic to include five components, previously only Venn diagrams with two or three circles have been used in xkcd. | ||
[[Category:Charts]] | [[Category:Charts]] | ||
[[Category:Euler diagrams]] | [[Category:Euler diagrams]] |
Revision as of 09:06, 9 January 2023
- These are comics that relate to Venn diagrams.
- They should not be confused with Euler diagrams although some of the comic that mention Venn diagrams actually shows Euler diagrams instead.
- If Venn diagrams are mentioned, even though it is an Euler diagram, not a Venn diagram, then they will still be included here.
- Randall seems to have made mistakes, or maybe done this on purpose as indicated with the comic 2721: Euler Diagrams.
- A Venn diagram shows all possible combinations of two or more sets, including those with no elements, and therefore all of the circles must intersect.
- An Euler diagram only depicts the non-empty combinations, and therefore does not have this constraint.
- All Venn diagrams are also Euler diagrams, but not the other way around!
- In a Venn diagram every possible intersection must be shown.
- In general for an n component Venn diagram there are 2n hypothetically possible zones, corresponding to some combination of inclusion or exclusion in each of the component sets.
- A Venn diagram with 2 circles, see 668: Pandora, has 22 = 4 zones; one overlap zone, two zones without overlap and one outside zone.
- 2122: Size Venn Diagram is the first comic to include five components, previously only Venn diagrams with two or three circles have been used in xkcd.
Pages in category "Venn diagrams"
The following 14 pages are in this category, out of 14 total.