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In mathematical analysis, the staircase paradox is a pathological example showing that limits of curves do not necessarily preserve their length. [1] It consists of a sequence of "staircase" polygonal chains in a unit square , formed from horizontal and vertical line segments of decreasing length, so that these staircases converge uniformly to ...
In mathematics, and especially in category theory, a commutative diagram is a diagram of objects, also known as vertices, and morphisms, also known as arrows or edges, such that when selecting two objects any directed path through the diagram leads to the same result by composition.
Spandrels of a Tudor arch Spandrels of a circle within a square Spandrel figures of winged victories, Arc de Triomphe du Carrousel, Paris Spandrel panels. A spandrel [1] is a roughly triangular space, usually found in pairs, between the top of an arch and a rectangular frame, between the tops of two adjacent arches, [2] or one of the four spaces between a circle within a square.
In mathematics, the moving sofa problem or sofa problem is a two-dimensional idealization of real-life furniture-moving problems and asks for the rigid two-dimensional shape of the largest area that can be maneuvered through an L-shaped planar region with legs of unit width. [1] The area thus obtained is referred to as the sofa constant.
An affidavit previously obtained by the local news stations stated that Jacob left his girlfriend's house, saying he was going to have dinner with his family.
A New York teenager is spreading holiday cheer in an inspiring and sustainable way this Christmas. For the fourth year running, Andrew Reid, 19, has constructed a giant dazzling holiday light ...
The U.S Capitol is seen after U.S, President-elect Donald Trump called on U.S. lawmakers to reject a stopgap bill to keep the government funded past Friday, raising the likelihood of a partial ...
[The stairs] form a closed, circular construction, rather like a snake biting its own tail. And yet they can be drawn in correct perspective: each step higher (or lower) than the previous one. I discovered the principle in an article which was sent to me, and in which I myself was named as the maker of various 'impossible objects'.
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