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Closely affiliated with IUPUI, Indiana University–Purdue University Columbus was established in 1970 and is located one hour south of Indianapolis in Columbus, Indiana—an area known for its collection of modern architecture [73] with an estimated population of more than 45,000. The growing campus serves more than 1,700 undergraduate and ...
In differential geometry, the Gauss map of a surface is a function that maps each point in the surface to a unit vector that is orthogonal to the surface at that point. Namely, given a surface X in Euclidean space R 3 , the Gauss map is a map N : X → S 2 (where S 2 is the unit sphere ) such that for each p in X , the function value N ( p ) is ...
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Indiana University Indianapolis (IU Indianapolis or IU Indy) is an urban public research university located in Indianapolis, Indiana, and is a core campus of the Indiana University system. It was founded on July 1, 2024 after its predecessor institution, Indiana University–Purdue University Indianapolis (IUPUI), split into IU Indianapolis and ...
The sum of the angles of a spherical triangle is not equal to 180°. A sphere is a curved surface, but locally the laws of the flat (planar) Euclidean geometry are good approximations. In a small triangle on the face of the earth, the sum of the angles is only slightly more than 180 degrees. A sphere with a spherical triangle on it.
Purdue University is a public land-grant research university in West Lafayette, Indiana, United States, and the flagship campus of the Purdue University system. [7] The university was founded in 1869 after Lafayette businessman John Purdue donated land and money to establish a college of science, technology, and agriculture; [8] the first classes were held on September 16, 1874.
Indiana University–Purdue University Indianapolis — in Indianapolis, Indiana. Subcategories This category has the following 3 subcategories, out of 3 total.
An open ball excludes the sphere itself, while a closed ball includes the sphere: a closed ball is the union of the open ball and the sphere, and a sphere is the boundary of a (closed or open) ball. The distinction between ball and sphere has not always been maintained and especially older mathematical references talk about a sphere as a solid.