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The Fano plane is an example of an (n 3)-configuration, that is, a set of n points and n lines with three points on each line and three lines through each point. The Fano plane, a (7 3)-configuration, is unique and is the smallest such configuration. [11]
In mathematics, the floor function is the function that takes as input a real number x, and gives as output the greatest integer less than or equal to x, denoted ⌊x⌋ or floor(x). Similarly, the ceiling function maps x to the least integer greater than or equal to x, denoted ⌈x⌉ or ceil(x). [1]
For an observer standing on a plane, all planes parallel to the plane they stand on meet one another at the horizon line. Algebraically, if we take e 2 {\displaystyle {\boldsymbol {e}}_{2}} to be the ground, then e 2 + 5 e 0 {\displaystyle {\boldsymbol {e}}_{2}+5{\boldsymbol {e}}_{0}} will be a plane parallel to the ground (displaced 5 meters ...
This means that a smooth plane curve is a plane curve which "locally looks like a line", in the sense that near every point, it may be mapped to a line by a smooth function. Equivalently, a smooth plane curve can be given locally by an equation (,) =, where : is a smooth function, and the partial derivatives / and / are ...
In mathematics, a plane is a two-dimensional space or flat surface that extends indefinitely. A plane is the two-dimensional analogue of a point (zero dimensions), a line (one dimension) and three-dimensional space. When working exclusively in two-dimensional Euclidean space, the definite article is used, so the Euclidean plane refers to the ...
The fundamental objects in the projective plane are points and straight lines, and as in Euclidean geometry, every pair of points determines a unique line passing through both, but unlike in the Euclidean case in projective geometry every pair of lines also determines a unique point at their intersection (in Euclidean geometry, parallel lines ...
Footage from the wreckage of Azerbaijan Airlines flight JS-8243 shows the plane’s tail peppered with holes. Thirty-eight passengers and crew died when the plane, travelling from the airline’s ...
A contour line (also isoline, isopleth, isoquant or isarithm) of a function of two variables is a curve along which the function has a constant value, so that the curve joins points of equal value. [ 1 ] [ 2 ] It is a plane section of the three-dimensional graph of the function f ( x , y ) {\displaystyle f(x,y)} parallel to the ( x , y ...