# lemniscate

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Related to lemniscate: lemniscus

## lemniscate

(ˈlɛmnɪskɪt)
n
(Mathematics) a closed plane curve consisting of two symmetrical loops meeting at a node. Equation: (x2 + y2)2 = a2(x2y2), where a is the greatest distance from the curve to the origin. The symbol for infinity (∞) is an example
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
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Local buckling for triangular and lemniscate delaminations near the surface of laminated cylindrical shells under hygrothermal effects.
She covers actual infinities: Cantor's proofs and modern fiction, Jorge Luis Borges and the measure of prose supplanting the symbol for the thing itself: Borges' ultraist beginnings, the lemniscate: infinite shapes in te work of Samuel Beckett, and one: J.
Now, for [alpha] = -1/4, we get 8/5L + 1 [approximately equal to] 1.6102078108, where L is the Lemniscate constant; that is, L = (1/2 [square root of 2[pi]])[GAMMA][(1/4).sup.2].
Caption: FIGURE 2: Lemniscate path following with the predictive control joined with the kinematic model.
Since a solution of the Cauchy problem x(0) = 0, x'(0) = [gamma] is known analytically, that is, x(t; [gamma]) = [square root of ([gamma])] sl([square root of ([gamma])t), where sl t is the lemniscate sine function (computable by Mathematica) both curves [Z.sub.1](1) and [Z.sub.2](1) can be constructed and visualized as [Z.sub.1](1) = {([[gamma].sub.1], [[gamma].sub.2]) [member of] (0, 27.514) x (0, 27.514), [[gamma].sub.1] > [[gamma].sub.2] : the difference x(t, [[gamma].sub.1]) -x(t, [[gamma].sub.1]) has the first zero at t = 1}.
Based on Bohm's implicate and explicate orders in which mind-matter interaction unfolds and enfolds, illustrated below is the lemniscate curve, the mathematical symbol for infinity.
The function [psi] : L [right arrow] K can be continued analytically (but not conformally) to a full neighbourhood of the lemniscate [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
Corvonato set up a model to describe debris cloud shape use bernoulli lemniscate, as shown in equation 2
The horizontal print, mesmerising in its illusionistic play of light over azure limpidity, serves as a stage for a procession of ceramic fish and automobiles that circulates counterclockwise in a large lemniscate (infinity symbol).

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