Difference between revisions of "Intersect"
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Mathematical objects '''intersect''' when they have something in common. For example, the sets {1,2,3,4} and {2,4,6} intersect as {2,4}. | Mathematical objects '''intersect''' when they have something in common. For example, the sets {1,2,3,4} and {2,4,6} intersect as {2,4}. | ||
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| + | For two sets A and B, their '''intersection''' is written as A∩B and is formally defined as A∩B = {x|xϵA AND xϵB}. | ||
From geometry we have another example. [[Euclid]] postulated that: | From geometry we have another example. [[Euclid]] postulated that: | ||
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When two lines are not parallel, they must intersect. | When two lines are not parallel, they must intersect. | ||
</blockquote> | </blockquote> | ||
| − | [[ | + | [[Non-Euclidean geometry]] concerns [[Geometry|geometries]] where the conclusion need not hold. |
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| + | [[Category:Mathematics]] | ||
Latest revision as of 14:24, July 13, 2016
Mathematical objects intersect when they have something in common. For example, the sets {1,2,3,4} and {2,4,6} intersect as {2,4}.
For two sets A and B, their intersection is written as Aâ©B and is formally defined as Aâ©B = {x|xϵA AND xϵB}.
From geometry we have another example. Euclid postulated that:
When two lines are not parallel, they must intersect.
Non-Euclidean geometry concerns geometries where the conclusion need not hold.