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hyperbola
hyperbola
The Oxford Pocket Dictionary of Current English
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2009
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© The Oxford Pocket Dictionary of Current English 2009, originally published by Oxford University Press 2009. (Hide copyright information)
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hy·per·bo·la
/ hīˈpərbələ/
•
n.
(pl. -bo·las
or -bo·lae
/ -bəlē/
)
a symmetrical open curve formed by the intersection of a cone with a plane at a smaller angle with its axis than the side of the cone.
∎ Math.
the pair of such curves formed by the intersection of a plane with two equal cones on opposites of the same vertex.
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hyperbola
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Y = Arctg X; the hyperbola of the world order.(Brief article)(Book review)
Magazine article from: Reference & Research Book News; 5/1/2007; 512 words
; 9780761834991 Y = Arctg X; the hyperbola of the world order. Ostrovosky, Max...mathematical formula y = arctg x describes a hyperbola with near zero initial curve, gradually...Hebrew U. of Jerusalem, Israel) this hyperbola aptly describes a corresponding and inexorably...
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The role of the element rhodium in the hyperbolic law of the periodic table of elements.(Formula)
Magazine article from: Progress in Physics; 7/1/2008; ; 700+ words
; ...secants intersect a direct hyperbola in two points, with gradual...virtual axis of adjacent hyperbolas the secants cut a direct hyperbola in only one point; * In...point of intersection of hyperbolas on the line Y = 0.5, also...
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Emitter Location -- Location Errors in precision location systems. (EW 101).
Magazine article from: Journal of Electronic Defense; 4/1/2003; ; 700+ words
; ...standard deviation of the accuracy with which this hyperbola is drawn, assuming that the site locations are...error of the offset (in kin) of the erroneous hyperbola from the true hyperbola that passes through the emitter. (The offset...
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Upper limit in the periodic table of elements.
Magazine article from: Progress in Physics; 1/1/2007; ; 700+ words
; ...but must be on the relevant hyperbola in terms of X. Consequently...mass. Fig. 1 depicts the hyperbola (the value of the approximation...on which the peaks of all hyperbolas of the Periodic Table are...mass the curvature of the hyperbola decreases (the radius of...
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Using a distribution glide path; The allocation strategies of target date funds may work well in the distribution phase.(Retirement Watch)
Magazine article from: Investment News; 4/28/2008; 700+ words
; ...reduced by 10% every 10 years; a convex hyperbola strategy, where the equity allocation...at a decreasing rate; and a concave hyperbola strategy, where the equity allocation...the distribution period, the concave hyperbola proved to be the best allocation model...
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Precision emitter-location techniques. (EW 101).
Magazine article from: Journal of Electronic Defense; 12/1/2002; ; 700+ words
; ...to the line, but since a hyperbola is an infinite curve, the...of the infinite number of hyperbolas. Each curve represents a...hyperbolic isochrone. These two hyperbolas cross at the emitter location...ambiguity in that the two hyperbolas may cross in two locations...
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Descartes' and Hessian Foliums.(geometric exercises)
Magazine article from: The Texas Journal of Science; 11/1/2002; ; 700+ words
; ...Imaginary intersecting lines, IV. The hyperbola, V. Real intersecting lines, VI...when [b.sup.2] - 4ac = 0, (iii) Hyperbola, when [b.sup.2] - 4ac > 0...intersecting lines is a special case of hyperbola and satisfies (iii). For this study...
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 "The Economist (US)")
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Statistics.(biometric estimate of 47 undiscovered marine species of 2m. of longer, 'sea monsters' )(Brief Article)
Magazine article from: The Economist (US); 11/28/1998; 700+ words
; ...correspond to a mathematical curve called a hyperbola. Because there are only so many kinds of chocolate available for discovery, the hyperbola rises rapidly, but tends towards a fixed...had dropped dramatically. By fitting a hyperbola to the data for the period 1830-1995...
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Publication No. WO/2009/142963 Published on Nov. 26, Assigned to CommScope for Locating Worldwide Interoperability For Microwave Access/Long Term Evolution Subscriber Station System, Method (American Inventors)
News Wire article from: US Fed News Service, Including US State News; 11/30/2009; 463 words
; ...the first information. A location hyperbola may be determined using the second information wherein the location hyperbola has the first and second base stations...using the range ring and the location hyperbola." The invention carries International...
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 "International Journal of Communications, Network and Systems Sciences (IJCNS)")
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A quadratic constraint total least-squares algorithm for hyperbolic location.(Technical report)
Magazine article from: International Journal of Communications, Network and Systems Sciences (IJCNS); 6/1/2008; ; 700+ words
; ...the source as the intersection of hyperbolae for TDOA. For each TDOA measurement, the source lies on a hyperbola with a constant range difference between...occur in TDOA measurements and the hyperbolae no longer intersect at a single point...
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Hyperbola
Encyclopedia entry from: The Gale Encyclopedia of Science
...also represents a hyperbola, but of eccentricity...equations can represent hyperbolas, but these two...tangent to the hyperbola at point P will bisect that angle. Hyperbolas can be sketched...are given above. Hyperbolas have many uses...practical. The hyperbola y = 1/x is sometimes...
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hyperbola
Book article from: The Columbia Encyclopedia, Sixth Edition
...equilateral, or rectangular, hyperbola is one whose asymptotes...perpendicular. A second hyperbola may be drawn whose asymptotes...with those of the given hyperbola and whose principal axis...the center; the two hyperbolas thus related are called...
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Conic Sections
Encyclopedia entry from: The Gale Encyclopedia of Science
...plane cuts both nappes, the section is a hyperbola, a curve with two parts, called branches...line called the directrix (Figure 7). Hyperbola: The set of points P such that PF 1...If e > 1, then the section is a hyperbola. The constant e is called the eccentricity...
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John of Palermo
Dictionary entry from: Complete Dictionary of Scientific Biography
...translation of an Arabic tract on the hyperbola entitled, in Latin, De duabus lineis...overall objective is to show that the hyperbola and one of its asymptotes have the desired...demonstrate the asymptotic property of the hyperbola. The author makes free use of Apollonius...
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Dionysodorus
Dictionary entry from: Complete Dictionary of Scientific Biography
...the intersection of a parabola and a hyperbola, the cubic equation to which (in effect...to AB . Through G let there be drawn a hyperbola having FB and BK as asymptotes. Let...intersection of the parabola and the hyperbola. It seems probable (despite Schmidt...
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