(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.
Plane
Definition:
(n.) Any tree of the genus Platanus.
(a.) Without elevations or depressions; even; level; flat; lying in, or constituting, a plane; as, a plane surface.
(a.) A surface, real or imaginary, in which, if any two points are taken, the straight line which joins them lies wholly in that surface; or a surface, any section of which by a like surface is a straight line; a surface without curvature.
(a.) An ideal surface, conceived as coinciding with, or containing, some designated astronomical line, circle, or other curve; as, the plane of an orbit; the plane of the ecliptic, or of the equator.
(a.) A block or plate having a perfectly flat surface, used as a standard of flatness; a surface plate.
(a.) A tool for smoothing boards or other surfaces of wood, for forming moldings, etc. It consists of a smooth-soled stock, usually of wood, from the under side or face of which projects slightly the steel cutting edge of a chisel, called the iron, which inclines backward, with an apperture in front for the escape of shavings; as, the jack plane; the smoothing plane; the molding plane, etc.
(a.) To make smooth; to level; to pare off the inequalities of the surface of, as of a board or other piece of wood, by the use of a plane; as, to plane a plank.
(a.) To efface or remove.
(a.) Figuratively, to make plain or smooth.
Example Sentences:
(1) "This is the third event in the last few days following An-26 and SU-25 planes being brought down.
(2) The Ta loop was a smooth, elongated ellipse in configuration and showed clockwise rotation in all planes, as did the P loop.
(3) Typically the iron-iron axis (gz) of the binuclear iron-sulfur clusters is in the membrane plane.
(4) (4) Despite the removal of the cruciate ligaments and capsulo-ligamentous slide, no significant residual instability was found in either plane.
(5) "I was eight in 1983, but I remember a plane that flew low over our Bulawayo suburb and army loud-hailers screaming: 'You are surrounded.'
(6) Deviations in two planes simultaneously cause less error than deviation in one plane.
(7) Other fusiform cells of the cPVN are oriented in a rostral-caudal plane and are situated more medially in this subdivision.
(8) We set a new basic plane on an orthopantomogram in order to measure the gonial angle and obtained the following: 1) Usable error difference in ordinary clinical setting ranged from 0.5 degrees-1.0 degree.
(9) All the wounded Britons have been repatriated , including four severely injured people who were brought back by an RAF C-17 transport plane.
(10) The relapse was 80% in the sagittal plane, 70% in the transverse plane, and 12% in the vertical plane.
(11) They operate on a mystical and symbolic plane, which is foreign to the practice of "Western" medicine.
(12) A technique is therefore described using 3-D images and reconstruction of high-resolution films, which allows rapid examination of the menisci in optimal planes.
(13) The technique of two-plane angiography of femoro-popliteal bypasses with 90 degrees knee flexion is described.
(14) Right ventricular volumes were determined in 12 patients with different levels of right and left ventricular function by magnetic resonance imaging (MRI) using an ECG gated multisection technique in planes perpendicular to the diastolic position of the interventricular septum.
(15) This provides a direct display, in the viewing plane, of the slice profile.
(16) The resistance is a complex function of the perfusion pressure and the cross-sectional area of the stenosis and cannot be accurately predicted from a single plane angiographic image.
(17) After 1 month, scaling and root planing had effected significant clinical improvement and significant shifts in the subgingival flora to a pattern more consistent with periodontal health; these changes were still evident at 3 months.
(18) Subsequently, due to the rotation of the original polar axis in one hemisphere, the third cleavage plane through one half of the egg is transverse to the third cleavage plane through the other half.
(19) Manchester United 3-1 Barcelona | match report Read more While, according to Louis van Gaal , Rojo was not on the flight because of an issue with his travel documents, the manager was unsure why Di María had failed to board the plane.
(20) The lower neck flexion is 35 degrees and extension of the plane of the face 15 degrees, each angle measured relative to horizontal.