Artificial intelligent assistant

polaric

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1
polaric
poˈlaric, a. [f. polar + -ic.] = polar a. 4.1863 Atlantic Monthly Oct. 499 The currents of that polaric opposition. 1864 in Webster. Oxford English Dictionary
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polaristic
polaˈristic, a. rare—0. [erron. f. polarize: see -istic.] = polaric.1864 Webster, Polaristic, pertaining to or exhibiting poles; having a polar arrangement or disposition; arising from, or dependent upon, the possession of poles or polar characteristics; as polaristic antagonism. Oxford English Dictionary
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Time and Again (Star Trek: Voyager)
Janeway and Paris become caught up with a group of saboteurs threatening to compromise one of the polaric power plants. The saboteurs use Janeway and Paris as a diversion to allow them access to the polaric plant, during which Paris is shot and wounded. wikipedia.org
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Romantic medicine
Through their work, a fundamental set of dynamic polarities emerged with which to understand the essential polaric nature of life itself: sustentive and wikipedia.org
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Find $\lim\limits_{(x,y) \to (0,0)} \frac{e^{-\frac{1}{x^2+y^2}}}{x^4+y^4} $ I'm trying to find $$\lim\limits_{(x,y) \to (0,0)} \frac{e^{-\frac{1}{x^2+y^2}}}{x^4+y^4} .$$ After I tried couple of algebraic manipulation...
You are almost done! $$\lim_{r\to 0}\frac{e^{-\frac{1}{r^2}}}{r^4(\cos^4\theta+\sin^4\theta)}=\frac 1{\cos^4\theta+\sin^4\theta}\lim_{r\to 0}\frac{e^{-\frac{1}{r^2}}}{r^4}.$$ For the last limit you can use L'Hopital's rule.
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Star Trek: Legacy
In another system, T'Uerell harnesses polaric ion energy from a nebula to provide a massive boost to her shields. This pulse destabilizes the polaric ion energy string, disabling T'Uerell's ability to harness its energy for her shields and the conduit. wikipedia.org
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Emergent evolution
(p. 42) Alexander and the emergence of mind Morgan's idea of a polaric relationship between lower and higher, was taken up by Samuel Alexander, who wikipedia.org
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Romantic epistemology
Coleridge speaks of "the feminine mind and imagination," and provides the polaric example of the two giants of English literature, Shakespeare ("darts wikipedia.org
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