(n.) An oval or oblong figure, bounded by a regular curve, which corresponds to an oblique projection of a circle, or an oblique section of a cone through its opposite sides. The greatest diameter of the ellipse is the major axis, and the least diameter is the minor axis. See Conic section, under Conic, and cf. Focus.
(n.) Omission. See Ellipsis.
(n.) The elliptical orbit of a planet.
Example Sentences:
(1) The authors have presented in two previous articles the graphic solutions resembling Tscherning ellipses, for spherical as well as for aspherical ophthalmic lenses free of astigmatism or power error.
(2) The Ta loop was a smooth, elongated ellipse in configuration and showed clockwise rotation in all planes, as did the P loop.
(3) Eighty degrees further forward, along the minor axis, was the crank arm orientation for the second ellipse, Eng90.
(4) A calculation for the correct circumference of an ellipse is proposed using the simple formula for a circle times a correction factor.
(5) Results show that the 3-D disc is mostly preceded by impressions of elastic amoeba-like deformations, whereas the 3-D egg is mostly preceded by the percept of a rotating flat ellipse.
(6) The lumina of most nonrespiratory bronchioles from normal lungs conformed closely to their respective ellipses, thus corroborating previous observations that they are normally cylindroid.
(7) Using a carbon dioxide laser, an ellipse of conjunctival-tarsal-inferior muscle tissue was excised from the inner surface of the ectropic lid inferior to the punctum.
(8) The lateral margins and base of transverse sections through the ellipse were free of tumor.
(9) Three commonly used prostate volume measurement techniques were analyzed: planimetry, prolate ellipse volume calculation (HWL), and an ellipsoid volume measurement technique.
(10) In this article four additional ideas are reviewed to improve the final cosmetic result of the ellipse.
(11) The shapes of the ellipses obtained characterized the rheological properties of each bronchial mucus sample before and after treatment.
(12) The long-term surgical outcome as determined by sexual function indicated that the penile prosthesis group remained the most sexually active, followed by the Nesbit ellipse group with the tunica vaginalis graft group being the least sexually active.
(13) With a set of discrete basic elements (cell nuclei) having several measurable features (area, surface, main and minor axis of best-fitting ellipses) a graph is defined as having attributes associated with edges.
(14) In all cases significant variations of the posturographic parameters regarding in a particular way the total tracing length, the ellipse surface and the mean speed have been recorded.
(15) The corneo-limbal ring (CLR) is defined here as the best fitting ellipse within the limbal region and characterized by the horizontal diameter (Dh), the vertical diameter (Dv), the eccentricity (e), and the circumference (O).
(16) These solutions, as expected, resemble the Tscherning ellipses, but strongly deformed.
(17) Two-year-old children received intradimensional discrimination training at initially distant points on a circle-ellipse continuum.
(18) Genioglossal muscle shortening increases pharyngeal area and reduces pharyngeal resistance more effectively when the pharynx is elliptical, with the long axis of the ellipse oriented laterally.
(19) The area of the stenosis by the edge detection method was calculated by analyzing two orthogonal projections for irregular stenoses and with use of the formula for the area of an ellipse (ellipse method).
(20) In children aged 3 years the shape of the upper dental arch was in most cases similar to a semi-ellipse and that of the lower arch approached parabole.
Hyperbola
Definition:
(n.) A curve formed by a section of a cone, when the cutting plane makes a greater angle with the base than the side of the cone makes. It is a plane curve such that the difference of the distances from any point of it to two fixed points, called foci, is equal to a given distance. See Focus. If the cutting plane be produced so as to cut the opposite cone, another curve will be formed, which is also an hyperbola. Both curves are regarded as branches of the same hyperbola. See Illust. of Conic section, and Focus.
Example Sentences:
(1) After covalent inactivation of a variable proportion of the receptors with I-PTA-PON3, the occupancy-response relationship for platelet aggregation resulted in a similar hyperbola indicating an excess of low-affinity receptors coupled to aggregation (spare receptors).
(2) When phenylalanine was present, a pronounced deviation from the Michaelis-Menten hyperbola occurred.
(3) Flow-insensitive ranges of tcpO2-vs-flow hyperbolas were reduced by both leg lowering and moving the electrode towards proximal measuring sites.
(4) This logistic relationship is more general than the rectangular hyperbola or linear methods, provides excellent goodness of fit, and can be used as a "global" method for the entire calibration curve, rather than as a "local" method for small segments of the curve.
(5) Hill's rectangular hyperbola fitted the force-velocity data if the load during shortening was less than 70% of Fo.
(6) One parameter of the hyperbola is equivalent to the asymptotic response rate and the other parameter is equivalent to the rate of reinforcement that maintains a one-half asymptotic response rate.
(7) Analysis of these inhibition curves as double hyperbolae revealed two binding sites in the presence of DTT and only one low affinity site in the absence of DTT.
(8) The maximum velocity of shortening (Vm), determined by extrapolation from a hyperbola that is fitted to force-velocity data at finite loads, is substantially lower than V0.
(9) In contrast to hog kidney D-amino acid oxidase, the v vs s plots of D-amino acid oxidase in homogenized rat kidney did not have the form of a rectangular hyperbola, and showed an apparent negative cooperativity.
(10) The ligand self-association alone can cause deviation of the profile of the binding curve (r vs Lft plot) from a hyperbola, resulting in a nonlinear Scatchard plot.
(11) Binding was found to be saturable at higher membrane concentrations when using a fixed amount of ligand and showed a hyperbola analogous to enzyme-substrate binding.
(12) Then, we compared G to the conventional slope of the CO2-ventilation response line (S) and that of the metabolic hyperbola (SL).
(13) The difference in estimates of V0 and Vm is a function of: (i) the degree of heterogeneity of the muscle with respect to Vmax(i) and the curvature of the force-velocity relationship of the individual fibres, and (ii) the force range used to establish the hyperbola from which Vm is derived.
(14) The relationship between the slope of the plot and the substrate concentration shows characteristic features depending on the inhibition type: for partial competitive inhibition, the straight line converging on the abscissa at--Ks, the dissociation constant of the enzyme-substrate complex; for non-competitive inhibition, a constant slope independent of the substrate concentration; for uncompetitive inhibition, a hyperbola decreasing with the increase in the substrate concentration; for mixed-type inhibition, a hyperbola increasing with the increase in the substrate concentration.
(15) The data were in reasonable agreement with the theoretical hyperbola.
(16) It was established that there was a relationship between the half-life and the initial titre of antibody of each specificity which could be described by a rectangular hyperbola.
(17) A robust modified hyperbola was found to be superior for determining molecular weights and base-pair numbers for a set of known standards when compared with the conventional log transformation and a similar hyperbolic model.
(18) At low concentrations (42-1260 microM), the relationship between linoleic acid concentration and its absorption rate fitted best to a rectangular hyperbola.
(19) Likewise, the relationship could be described by a hyperbola with a linear relationship between intrapulmonary pressure and the inverse of breath duration.
(20) On the other hand, when mannosylphosphoryldolichol synthase activity was measured in the presence of amphomycin and as a function of dolichylmonophosphate (Dol-P) concentrations, the shape of the substrate velocity curve changed from a rectangular hyperbola to a sigmoid.