What's the difference between circle and hyperbola?

Circle


Definition:

  • (n.) A plane figure, bounded by a single curve line called its circumference, every part of which is equally distant from a point within it, called the center.
  • (n.) The line that bounds such a figure; a circumference; a ring.
  • (n.) An instrument of observation, the graduated limb of which consists of an entire circle.
  • (n.) A round body; a sphere; an orb.
  • (n.) Compass; circuit; inclosure.
  • (n.) A company assembled, or conceived to assemble, about a central point of interest, or bound by a common tie; a class or division of society; a coterie; a set.
  • (n.) A circular group of persons; a ring.
  • (n.) A series ending where it begins, and repeating itself.
  • (n.) A form of argument in which two or more unproved statements are used to prove each other; inconclusive reasoning.
  • (n.) Indirect form of words; circumlocution.
  • (n.) A territorial division or district.
  • (n.) To move around; to revolve around.
  • (n.) To encompass, as by a circle; to surround; to inclose; to encircle.
  • (v. i.) To move circularly; to form a circle; to circulate.

Example Sentences:

  • (1) Variables included an ego-delay measure obtained from temporal estimations, perceptions of temporal dominance and relatedness obtained from Cottle's Circles Test, Ss' ages, and a measure of long-term posthospital adjustment.
  • (2) These findings suggest that conditioned circling is mediated by a bilateral involvement of the mesotelencephalic dopaminergic systems.
  • (3) The circle rate correlated with the extent of mural invasion.
  • (4) Single-stranded circles did not form if a limited number of nucleotides were removed from the 3' ends of native molecules by Escherichia coli exonuclease III digestion prior to denaturation and annealing.
  • (5) Possible explanations of the clinical gains include 1) psychological encouragement, 2) improvements of mechanical efficiency, 3) restoration of cardiovascular fitness, thus breaking a vicous circle of dyspnoea, inactivity and worsening dyspnoea, 4) strengthening of the body musculature, thus reducing the proportion of anaerobic work, 5) biochemical adaptations reducing glycolysis in the active tissues, and 6) indirect responses to such factors as group support, with advice on smoking habits, breathing patterns and bronchial hygiene.
  • (6) Single-stranded linear DNAs were prepared by separating strands of duplex molecules or by cleaving single-stranded circles at a unique restriction site created by annealing a short defined oligonucleotide to the circle.
  • (7) Rolling-circle replicating structures which represent late stage lambda DNA replication can be detected among intracellular phage lambda DNA molecules under recombination deficient conditions as well as in wild-type infections.
  • (8) One of these models, the cognitivo-behavioural approach developed by Beck since 1963, seems to be gaining a renewed interest in psychiatric circles, especially in North America.
  • (9) With Schirren's circle the obtained mean value was even higher (+ 52%) in comparison to the "real" volume by Archimedes' principle with a random mean error of 19%.
  • (10) In the beginning the only patient and his family circle are able to do something.
  • (11) In earlier studies with the SV40-transformed hamster cell line Elona two different types of DNA amplification could be identified: (i) Bidirectional overreplication of chromosomally integrated SV40 DNA expanding into the flanking cellular sequences ("onion skin" type) and (ii) highly efficient synthesis of extremely large head-to-tail concatemers containing exclusively SV40 DNA ("rolling circle" type).
  • (12) A week after the New York Film Critics Circle gave the movie its top award, a liberal political commentator wrote: "I'm betting that Dick Cheney will love [the film, which is] a far, far cry from the rousing piece of pro-Obama propaganda that some conservatives feared it would be."
  • (13) TRP1 RI circle (now designated YARp1, yeast acentric ring plasmid 1) is a 1,453-base-pair artificial plasmid composed exclusively of Saccharomyces cerevisiae chromosomal DNA.
  • (14) Thus did Dominic Cummings, former special adviser to Michael Gove , deliver to his prime minister what is, in certain Tory circles, the most crushing of insults.
  • (15) Two of Miliband’s inner circle – his director of strategy Tom Baldwin, and speechwriter Marc Stears – had suggested that the party seek out £3 supporters before 7 May in an attempt to engage people with the Labour party.
  • (16) Geometrical stimuli (48 6-item arrays of familiar forms, e.g., circle), tachistoscopically presented in the right or left visual field, were more accurately perceived in the right than left visual field by 15 college students.
  • (17) Both larval stages had an inner circle of 6 labial papillae, an outer circle of 6 labial papillae and 4 somatic papillae, and lateral amphidial pits.
  • (18) This vicious circle should be broken rather by finding optimal conditions than by a middle course determined by experimental requirements, economical frames and general notions about what may be good for the animal.
  • (19) Dimeric and oligomeric circles were present in the kDNA of the blood and intracellular stages in much greater proportion than in culture epimastigote stages.
  • (20) In spite of the relatively large sample and the given number of variables the problem of the vicious circle might occur.

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.