"Lemniscate " was released through No Pain In Pop ( EU ) and Williams'own Salonislam imprint ( US ) on November 12, 2012.
22.
The first elliptic functions were found by Carl Friedrich Gauss around 1795 in connection with his calculation of the lemniscate arc length, but first published after his death.
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Vinyl Williams track " Harmonious Change " premiered at The FADER ahead of the " Lemniscate " release . and Williams'own Salonislam label ( US ).
24.
Entry 146, dated 1814 July 9, is the last entry, and records an observation relating biquadratic residues and the lemniscate functions, later proved by Gauss and by.
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Perlas was a professor at the accredited Doctoral program on Applied Cosmic Anthropology of the Asian Social Institute, where he gave in depth theoretical and practical elaborations of the Lemniscate Process.
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This is a generalization of the integral which gives the arc length of the lemniscate corresponding to the special values " e " 1 } } and investigated by Carl Friedrich Gauss.
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Available formats included 12 " vinyl album, CD and download . " Lemniscate " features a mix of genres including electronic, krautrock, psychedelia, rock, shoegaze, pop and chillwave.
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In algebraic geometry, a "'lemniscate "'is any of several figure-eight or-shaped curves . or alternatively may refer to the wool from which the ribbons were made.
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In the special case 1 } } and 0 } } the integral gives the arc length of a circle, while for e " 1 } } it leads to the arc length of the lemniscate.
30.
In particular, the arc lengths of ellipses and of the lemniscate, which are curves defined by algebraic equations, are given by elliptic integrals that in special cases can be evaluated in terms of the gamma function.
