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Topic: Cauchy horizon

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	Time Travel [Internet Encyclopedia of Philosophy]
		If an intrepid astronaut were to position herself near the horizon of the rapidly spinning center of a fl hole (without falling into its center and possibly being annihilated), she would be treated to a most remarkable form of time travel.
		To enter the region where time travel might be possible, one would have to cross the Cauchy horizon, the hourglass-shaped (for two crossing cosmic strings) boundary of the singularity in which the laws of physics are unknown.
		In closed spacetime, the Cauchy horizon of a CTC acts as an impenetrable barrier to a timelike worldline for objects.
	www.iep.utm.edu /t/timetrav.htm (7856 words)

	Encyclopedia :: encyclopedia : Cauchy product (Site not responding. Last check: 2007-10-24)
		In mathematics, the Cauchy product of two sequences of real or complex numbers, named in honor of Augustin Louis Cauchy, is a discrete convolution given as follows.
		If one works with convergent power series rather than formal power series, does Cauchy multiplication give correct results, i.e., does the product of the two series converge, and is the scalar to which it converges equal to the product of the sums of the other two series?
		A partial answer is this: If one series of complex numbers converges, and the other converges absolutely, then the answer to both questions is "yes".
	www.hallencyclopedia.com /Cauchy_product (235 words)

	SERIES (a Latin word f... - Online Information article about SERIES (a Latin word f...
		If na„ approaches a limit 1, the series converges for 1> I and diverges for 1< I. For 1= i nothing is settled except for the case where 1 remains constantly_Iess than unity as it approaches it; in this case the series diverges.
		If f(n) is positive and decreases as n increases, the series If(n) is convergent or divergent with the series Za'f(a") where a is any number >2 (Cauchy's condensation test).
		This was shown by Cauchy, who also showed that the series nu, where w„=uiv,.+u2vs-i+..
	encyclopedia.jrank.org /SCY_SHA/SERIES_a_Latin_word_from_serere.html (5488 words)

	Time Machines
		Imposing the requirement of a compactly generated future Cauchy horizon has not only the negative virtue of excluding some unsuited candidate time machine spacetimes but a positive virtue as well.
		Next, identify a range of conditions on or near the partial Cauchy surface that are naturally construed as settings of a device that is a would-be probabilistic cause of CTCs, and show that the subset of models satisfying these conditions has non-zero measure.
		Chrusciel, P.T. and J. Isenberg, 1993, “Compact Cauchy Horizons and Cauchy Surfaces,” in B.L. Hu and T.A. Jacobson (eds.), Papers in Honor of Dieter Brill: Directions in General Relativity, Vol.
	plato.stanford.edu /entries/time-machine (7988 words)

	Glossary of research economics
		Contexts: IO basin of attraction: the region of states, in a dynamical system, around a particular stable steady state, that lead to trajectories going to the stable steady state.
		Cauchy distribution: Has thicker tails than a normal distribution.
		Cauchy sequence: A sequence satisfies the Cauchy criterion iff for each positive real epsilon there exists a natural number N such that the distance between any two elements of the sequence past the Nth element is less than epsilon.
	www.econterms.com /econtent.html (14590 words)

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