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India. 22°14′50″N 84°49′09″E / 22.247186°N 84.819203°E / 22.247186; 84.819203. Campus. Urban, 125 acres. Website. www.bput.ac.in. BPUT Campus. Biju Patnaik University of Technology (BPUT) is a public state university located in Rourkela, Odisha, India. It was established on 21 November 2002 and was named after Biju ...
Then, in 2011, [3] Rom Pinchasi proved that the complexity of the zone of a line in an arrangement is at most ⌊ ⌋, and this is a tight bound. Some paradigms used in the different proofs of the theorem are induction , [ 1 ] sweep technique, [ 2 ] [ 4 ] tree construction, [ 5 ] and Davenport-Schinzel sequences .
A simplicial line arrangement (left) and a simple line arrangement (right). In geometry, an arrangement of lines is the subdivision of the Euclidean plane formed by a finite set of lines. An arrangement consists of bounded and unbounded convex polygons, the cells of the arrangment, line segments and rays, the edges of the arrangement, and ...
Note-taking (sometimes written as notetaking or note taking) is the practice of recording information from different sources and platforms. By taking notes, the writer records the essence of the information, freeing their mind from having to recall everything. [1] Notes are commonly drawn from a transient source, such as an oral discussion at a ...
Self-dual. In finite geometry, the Fano plane (named after Gino Fano) is a finite projective plane with the smallest possible number of points and lines: 7 points and 7 lines, with 3 points on every line and 3 lines through every point. These points and lines cannot exist with this pattern of incidences in Euclidean geometry, but they can be ...
Intersection problems between a line and a conic section (circle, ellipse, parabola, etc.) or a quadric (sphere, cylinder, hyperboloid, etc.) lead to quadratic equations that can be easily solved. Intersections between quadrics lead to quartic equations that can be solved algebraically.
Barbara McClintock delivers her Nobel lecture. A lecture (from Latin: lectura 'reading') is an oral presentation intended to present information or teach people about a particular subject, for example by a university or college teacher. Lectures are used to convey critical information, history, background, theories, and equations.
A set of 20 points in a 10 × 10 grid, with no three points in a line. The no-three-in-line problem in discrete geometry asks how many points can be placed in the grid so that no three points lie on the same line. The problem concerns lines of all slopes, not only those aligned with the grid. It was introduced by Henry Dudeney in 1900.