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* The genus of a curve given by the transversal intersection of two smooth surfaces <math>S,T\subset\mathbb{P}^3</math>: let the degrees ...h> are a quadric and a cubic then the degree of the canonical sheaf of the intersection is 6, and so the genus of the interssection curve is 4.

* The [[intersection]] of transitive relations is transitive. That is, if ''R'' and ''S'' are t The '''transitive closure''' of a relation ''R'' may be defined as the intersection ''R''* of all transitive relations containing ''R'' (one always exists, nam

{{r|Intersection}}

In [[group theory]], the '''Frattini subgroup''' is the intersection of all maximal [[subgroup]]s of a group.

* A [[complete intersection]] of a quadric and a cubic hyper-surfaces in <math>\mathbb{P}^4</math> * A [[complete intersection]] of three quadric hypersurfaces in <math>\mathbb{P}^5</math>

While it is in a capital district, it is at the intersection of [[Punjab Province]] and the [[North-West Frontier Province]] (NWFP), in

{{r|Intersection (set theory)}}

...'''essential''' if whenever ''H'' is a non-trivial subgroup of ''G'', the intersection of ''S'' and ''H'' is non-trivial: here "non-trivial" means "containing an

* The [[empty set]] is the absorbing element for [[intersection]] of sets.[[Category:Suggestion Bot Tag]]

A '''great circle''' of a sphere is the intersection of the surface of the sphere with a plane passing through the center ''C'' A great circle cuts a sphere into two equal hemispheres. An intersection plane that does not pass through the center of the sphere cuts off a circle

* In [[set theory]], [[intersection]] and [[union]];

{{r|Intersection}}

...ges of the triangle. The pedal triangle is defined by the three points of intersection. If the edges of the original triangle are produced, the definition makes

A local ring ''A'' is '''complete''' if the intersection <math>\bigcap_n m^n = \{0\}</math> and ''A'' is complete with respect to th

* Interior [[distributivity|distributes]] over finite [[intersection]]: <math>(A \cap B)^{\circ} = A^{\circ} \cap B^{\circ}</math>.

...linear combination]]s of that set: it may equivalently be defined as the [[intersection]] of all [[submodule]]s or [[subspace]]s containing the given set.

...hin the [[triangle]] and [[tangent]] to its three sides. It is the common intersection of the three angle bisectors, which form a [[Cevian line]] system. The '''

...of A are as the smallest [[closed set]] in ''X'' containing ''A'', or the intersection of all closed sets in ''X'' containing ''A''.

* Eisen JA, Fraser CM (2003) Viewpoint phylogenomics: intersection of evolution and genomics. ''Science'' '''300''':1706-7 PMID 12805538

Its geographic description is: "that part of Toronto commencing at the intersection of the Humber River with Dundas Street West; thence southwesterly along sai