What's the difference between hyperbolic and hyperboloid?

Hyperbolic


Definition:

  • (a.) Alt. of Hyperbolical

Example Sentences:

  • (1) These two types of transfer functions are appropriate to explain the transition to anaerobic metabolism (anaerobic threshold), with a hyperbolic transfer characteristic representing a graded transition; and a sigmoid transfer characteristic representing an abrupt transition.
  • (2) Yesterday's flight may not quite have been one small step for man, but the hyperbole and the sense of history weighed heavily on those involved.
  • (3) For a union that, in less than 25 years, has had to cope with the end of the cold war, the expansion from 12 to 28 members, the struggle to create a single currency and, most recently, the eurozone crisis, such a claim risks accusations of hyperbole.
  • (4) Furthermore, illustrations of the types of transfer characteristics observed in different individuals and different training regimens can be obtained, including both hyperbolic (Michaelis-Menten) and sigmoid transfer characteristics.
  • (5) Oyster adductor phosphofructokinase displays hyperbolic saturation kinetics with respect to all substrates (fructose 6-phosphate, ATP, and Mg2+) at either pH 7.9 OR PH 6.8.
  • (6) In it he translated Trump’s coarse ramblings into charming straight talk and came up with the phrase “truthful hyperbole”, which captures brilliantly an approach to business and politics in which everything is the greatest, the most beautiful.
  • (7) Sitting at the table today, Archie is doing his best to look the part – in time-honoured hip-hop style, there is an inspirational motto tattooed on his forearm in flowing script – and he and Foster have an impressive line in managerial hyperbole: "We believe that whatever record label we work for, we can change that label for the better because we understand what kids want to listen to."
  • (8) The plot is still hyperbolic in the presence of La3+, which inhibits Ca2+ transport competitively.
  • (9) -The H-3-testosterone concentration was varied from 0.17-100 times 10-8 M. Plotting the resulting 5-alpha-reduction products as a function of testosterone concentration a hyperbolic pattern of enzyme kinetics ensued.
  • (10) A similar hyperbolic decrease in stoichiometry was observed with vesicles containing 10 or 20% PS when the calcium concentration was increased from 0.4 to 10 mM.
  • (11) The antiport activity measured in this way shows a hyperbolic dependence on external Na+ or Li+ concentration when the external pH (pHo) is 7.2 or higher.
  • (12) It is shown to increase hyperbolically with the time elapsed since the nerve section.
  • (13) The 48-year-old Dubliner has since played down that outburst as the youthful hyperbole of a pilot at Aer Lingus in the early 1980s.
  • (14) When [Ca2+]i is increased, Ica is reduced disproportionately, but the effect is not hyperbolic.
  • (15) A well-defined hyperbolic relationship was found between the two variables indicating that the physiologic level of plasma renin concentration depends on the state of sodium balance.
  • (16) The dependence of DMF upon oxygen concentration in the mixture was approximated by a hyperbolic function similar to the dependence of the radiomodifying effect of circulatory hypoxia caused by radioprotective agents of the indolylalkylamine series.
  • (17) The Bayesian solution to the Behrens-Fisher problem of normal distributions with differing variances was an acceptable compromise after the data had been transformed by the inverse hyperbolic sine method applicable to negative binomials.
  • (18) Several reporter genes with estrogen response elements upstream of the herpes thymidine kinase promoter showed hyperbolic saturation kinetics with increasing ER.
  • (19) In the presence of histidine a change from hyperbolic to sigmoidal kinetics is observed.
  • (20) Binding to enterocytes isolated from both normal and chronically hypoxic mice showed a hyperbolic dependence on medium Fe(III) concentration, consistent with a single class of binding sites.

Hyperboloid


Definition:

  • (n.) A surface of the second order, which is cut by certain planes in hyperbolas; also, the solid, bounded in part by such a surface.
  • (a.) Having some property that belongs to an hyperboloid or hyperbola.

Example Sentences:

  • (1) When the myoepithelial cells contract they force the axial protrusion forward and transform the papilla into a hyperboloidal configuration.
  • (2) The cup-shaped adhesive papillae of Distaplia occidentalis evert at the onset of metamorphosis and each transforms into a hyperboloidal configuration.
  • (3) It has been shown previously that the hyperboloid can be considered as a scaffold describing the parallel beta-barrel structure.
  • (4) The sinuses are subsequently arranged into 4 classes, according to their similarity to solids of revolution such as: semi-ellipsoid (class a: 15% of specimens); paraboloid (class b: 30%); hyperboloid (class c: 47%) and cone (class d: 8%).
  • (5) We calculate values of SLk for the helical wrapping of a constant length of DNA on protein surfaces having the shapes of cylinders and of ellipsoids and hyperboloids of revolution.
  • (6) This could be demonstrated by a simple structural principle of the myocardium namely the myocardium fibres and connective tissue strands are arranged in the form of intermeshed hyperboloids.
  • (7) Eight-stranded beta-sheets in nine protein structures containing "TIM (triose phosphate isomerase) barrels" are shown to be fitted satisfactorily by hyperboloids, the generating lines of which pass through the beta-strands.
  • (8) In addition, we show how the hyperboloid model and the ensuing formalism can serve to derive useful geometric and graphic tools for computer-aided protein design de novo.
  • (9) ER binding capacity tended to be correlated with age: this correlation could be described with a hyperboloid regression curve (r = -0.5931; 0.06 > p > 0.05).
  • (10) The beta barrel fits a simple hyperboloid model as other T.I.M.
  • (11) Basic design features of the beta-sheet portion in parallel alpha beta barrels in known protein structures are analysed in the context of a model of a regular hyperboloid.
  • (12) Simple parameterizations of the hyperboloid model are then used to determine the constraints that govern key parameters, such as the number of strands in the barrel, and to rationalize the remarkable conservation of strand number, observed to be eight, in nearly all the known examples of parallel beta-barrels.
  • (13) It has been shown that the shape of the beta-sheet portion of the barrel can be approximated by a hyperboloid.
  • (14) If the equatorial radius of the protein is fixed, change in shape from a cylinder to a hyperboloid increases SLk, while the corresponding change to an ellipsoid reduces SLk.