(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.
Intersection
Definition:
(n.) The act, state, or place of intersecting.
(n.) The point or line in which one line or surface cuts another.
Example Sentences:
(1) If Cory Bernardi wasn’t currently in a period of radio silence as he contemplates his immediate political future he’d be all over this too, mining the Trumpocalypse – or in our domestic context, mining the fertile political fault line where Coalition support intersects with One Nation support.
(2) Using the intersection point of these pH-logPCO2 lines as a point of equal hemoglobin-independent "base excess" for each condition, values for true base excess were plotted.
(3) At 5 micrometer and 2.5 mM sulphanilic acid under aerobic conditions, the regression lines for the permeation from lumen to blood pass almost through the origin, while the regression lines for the permeation from blood to lumen intersect the ordinate at a positive Y-value.
(4) The two molecules in the asymmetric unit form a dimer with its 2-fold axis perpendicular to and intersecting with a crystallographic 4(1) axis.
(5) Senator Edward Kennedy lived his life precisely at the crossroads of all that he encountered – at the intersection of statesmanship, of history, of moral purpose, of tragedy, of compromise.
(6) A combination of direct measurement and point and intersection counting techniques was used.
(7) Quantitative cell types were determined by a grid intersection counting technique at x 1000.
(8) Protests on Wednesday evening continued as smaller groups marched on the city centre, temporarily shutting down traffic on some intersections.
(9) In considering hardware, the optimum detector system for cone-beam tomography is a system that satisfies the data sufficiency condition for which the scanning trajectory intersects any plane passing through the reconstructed region of interest.
(10) There is the sound of engines hissing and crackling, which have been mixed to seem as near to the ear as the camera was to the cars; there is a mostly unnoticeable rustle of leaves in the trees; periodically, so faintly that almost no one would register it consciously, there is the sound of a car rolling through an intersection a block or two over, off camera; a dog barks somewhere far away.
(11) By late afternoon, the intersection of North Avenue and Fulton Avenue had been turned into what one man – bottles of cognac in each hand – called an “open bar”.
(12) These pH-activity profiles gave an intersection at pH 6.6.
(13) Coyne said the project would “greatly enhance our understanding of the intersection of the important issues at play in contemporary Australia and internationally regarding climate change, natural resource conservation and human rights – particularly the rights of Indigenous peoples”.
(14) A projection-less strip appears at the expected retinotopic position in both grisea intersecting radially all the strata of the corresponding neuropiles.
(15) Measurements of the angle of the gibbus and the angle of intersection of the renal axes were made in 68 children with thoracolumbar meningomyelocele.
(16) Moonlight wins best picture Oscar, after Warren Beatty gives gong to La La Land Read more “Peak blackness is a rare metaphysical anomaly that can only occur when an amalgam of black excellence comes together at the same societal intersection,” he said.
(17) Rather than individual voxels, a new exact algorithm is presented that considers the CT data as consisting of the intersection volumes of three orthogonal sets of equally spaced, parallel planes.
(18) Then the intersect of regression line of food hoarded during meal time vs. body weight with the X-axis was measured.
(19) Very few input data are sufficient to enable the program to work out an optimized dose distribution; optimization is obtained by modifying the intersection point of beams and the size, the wedge and the time of each beam.
(20) The intersectional variation in the morphometrically determined collagen density within the sponges was below 20%.