What's the difference between curvature and hyperbolic?

Curvature


Definition:

  • (n.) The act of curving, or the state of being bent or curved; a curving or bending, normal or abnormal, as of a line or surface from a rectilinear direction; a bend; a curve.
  • (n.) The amount of degree of bending of a mathematical curve, or the tendency at any point to depart from a tangent drawn to the curve at that point.

Example Sentences:

  • (1) Thirty-three patients with idiopathic scoliotic curvatures underwent metrizamide myelography before surgery from 1979 through 1985.
  • (2) Experiment 4 measured curvature selectivity as a function of the orientation of a curved adapting grating.
  • (3) Our analysis showed that the interpolation errors are proportional to the curvature of the dose distribution and are relatively high in regions on either side of, but not including, the steepest part of the penumbra.
  • (4) The influence of degree of hydration of the monolayers and their spontaneous curvature on conditions of monolayer fusion have been analysed.
  • (5) The radius of curvature was shorter in the former than in the latter.
  • (6) This suggests that the curvature of the xenon clearance curve is the result of recording the summation of the activities from the alveoli and the pulmonary blood and not, as previously described, due to the existence of two different sub-populations of alveoli.
  • (7) A retrospective study was performed to evaluate the effect of recipient-donor trephine disparity on refractive error and corneal curvature post-suture removal in keratoconus.
  • (8) The top of the fence can also be manipulated in certain ways such as including curvature outward at the top of the fence to make scaling it much more difficult for most.” Some critics, including Washington DC congressional delegate Eleanor Holmes Norton, have warned against excessive fortification, but the report argues: “We recognise all the competing considerations that may go into questions regarding the fence, but believe that protection of the President and the White House must be the higher priority.” “Every additional second of response time provided by a fence that is more difficult to climb makes a material difference in ensuring the President’s safety and protecting the symbol that is the White House.” The panel also urges that a new head of secret service, to replace ousted head Julia Pierson, be brought in from outside the agency, ensuring it is better staffed and trained in future.
  • (9) The EWRGP group showed a mean flattening in corneal curvature of 0.11 and 0.15 mm in the flattest and steepest corneal meridians, respectively.
  • (10) This report presents a patient with a tumor of the splenic flexure invading the diaphragm, greater curvature of the stomach, splenic hilum, and tail of the pancreas.
  • (11) Swimming in the lamprey is accomplished by the generation of a travelling wave of body curvature in which the phase coupling between segments is so controlled as to give approximately one full wavelength on the body at any swimming speed.
  • (12) Three cases are presented in which a focal concave deformity occurred along the greater curvature of the stomach on upper gastrointestinal (GI) series.
  • (13) The posterior stabilized total knee prosthesis was introduced as a modification of the total condylar design, changing the center of curvature of the femoral component to allow greater ROM.
  • (14) This change in shape varied from a slight flattening of the LV and IVS during diastole to total reversal of the normal direction of septal curvature such that the IVS became concave toward the RV and convex toward the LV.
  • (15) This effect occurs independently in both eyes and it is not due to changes in corneal curvature.
  • (16) An iterative method is presented which solves for the radius of curvature despite the variation in magnification.
  • (17) Grating phase had no effect on performance at any curvature or grating frequency, but 16.0-cpd gratings produced a threshold elevation at all curvatures by an average factor of 2.4.
  • (18) Anomalous positive curvatures in dissolution profiles suggested that calcium bilirubinate initially reduced the surface area available for cholesterol dissolution.
  • (19) This study presents in detail the exact geometry of scapula anatomy, giving precise figures for distances, angles, and radii of curvature of the scapula.
  • (20) The normal red cells were biconcave disks in which chlorpromazine induced inward (negative) curvature: deep cupping (stomatocytosis) and multiple invaginations.

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.