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Theories of wormhole metrics describe the spacetime geometry of a wormhole and serve as theoretical models for time travel. An example of a (traversable) wormhole metric is the following: [ 63 ] d s 2 = − c 2 d t 2 + d ℓ 2 + ( k 2 + ℓ 2 ) ( d θ 2 + sin 2 θ d φ 2 ) , {\displaystyle ds^{2}=-c^{2}\,dt^{2}+d\ell ^{2}+(k^{2}+\ell ^{2 ...
Chessboard paradox. The chessboard paradox [1] [2] or paradox of Loyd and Schlömilch [3] is a falsidical paradox based on an optical illusion. A chessboard or a square with a side length of 8 units is cut into four pieces. Those four pieces are used to form a rectangle with side lengths of 13 and 5 units.
Hooper's paradox is a falsidical paradox based on an optical illusion. A geometric shape with an area of 32 units is dissected into four parts, which afterwards get assembled into a rectangle with an area of only 30 units.
The term paradox is often used to describe a counter-intuitive result. However, some of these paradoxes qualify to fit into the mainstream viewpoint of a paradox, which is a self-contradictory result gained even while properly applying accepted ways of reasoning.
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 ...
The missing square puzzle is an optical illusion used in mathematics classes to help students reason about geometrical figures; or rather to teach them not to reason using figures, but to use only textual descriptions and the axioms of geometry. It depicts two arrangements made of similar shapes in slightly different configurations.
Honeywell said that it may calve its aerospace division from the conglomerate, sending shares up more than 2% before the opening bell Monday. The announcement arrives about one month after Elliott ...
This problem is treated at much greater length in the birthday paradox. A further probabilistic generalization is that when a real-valued random variable X has a finite mean E ( X ) , then the probability is nonzero that X is greater than or equal to E ( X ) , and similarly the probability is nonzero that X is less than or equal to E ( X ) .