What's the difference between hyperboloid and quadratic?

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.

Quadratic


Definition:

  • (a.) Of or pertaining to a square, or to squares; resembling a quadrate, or square; square.
  • (a.) Tetragonal.
  • (a.) Pertaining to terms of the second degree; as, a quadratic equation, in which the highest power of the unknown quantity is a square.

Example Sentences:

  • (1) Two recent innovations in time-dose models are reviewed: the linear-quadratic (L-Q) and the variable-exponent Time-Dose Factor (TDF) models.
  • (2) A sample of 481 clinical isolates from nine of the most commonly isolated gram-negative groups was identified by the quadratic discriminant function technique.
  • (3) The reported second-order quadratic curves could be used as reference for prosthetic and orthodontic reconstructions.
  • (4) Egg production and egg specific gravity were correlated to D3 level in a quadratic fashion.
  • (5) The pattern of gastric emptying assumed the following three attitudes, that is, exponential (44%), quadratic (29%) and unclassified (27%) pattern.
  • (6) Plasma urea concentrations decreased linearly (P less than .01) on d 28 as lysine level increased, whereas plasma lysine and insulin were increased (quadratic, P less than .01).
  • (7) Sound velocities, breaking strengths calculated from velocities adjusted for estimated soft tissue cover, measured bone mediolateral diameters and cannon diameters minus estimated soft tissue increased as quadratic functions of chronologic age (r greater than .840; P less than .0001).
  • (8) This model corresponds to quadratic summation of the stimulus followed by a random threshold device.
  • (9) The growth rate of broiler chicks fed the diets increased quadratically (P less than .001) with L-threonine addition.
  • (10) Primitively, vibrations reached the stapes mainly via the anterior hyoid cornu, but in dicynodonts, therocephalians, and cynodants vibrations passed mainly or exclusively from mandible to quadrate to stapes and the reflected lamina was a component of the eardrum.
  • (11) In the 3 subsets with duration of disease less than 21 years, stepwise regression produced in the final step linear or quadratic combinations not containing duration of disease but correlating quite well with the 'Larsen index' (R = 0.64-0.96).
  • (12) Conduction changes were better fitted by this "quadratic model" (least sum of squared deviations 3.9 x 10(-3) by mapping in five dogs, 2.7 x 10(-2) by use of QRS duration in nine dogs) than by a monoexponential model (sum of squared deviations 5.7 x 10(-3) by mapping, 3.4 x 10(-2) with QRS; p less than 0.01 vs. quadratic model for each).
  • (13) The diagnosis of gravity rests on the measurement of the mean gradient by applying Bernouilli's equation and the point by point quadratic transformation of the transmitral velocity curve obtained by Doppler and the measurement of the mitral area either by measurement of the half-decrease time in pressure or by applying the continuity equation.
  • (14) In the case of quadratic regression, the type I error will be increased by roughly 50 per cent.
  • (15) Both food and water intake showed a quadratic relationship with the level of added dietary Cu.
  • (16) were not found to increase when tested by linear and quadratic models of time trend.
  • (17) Dose-effect relationships for most of the sampling times were linear and sometimes linear-quadratic concave upward or downward.
  • (18) The parietal, squamosal, and exoccipital bones, and the quadrate cartilage were displaced when otic capsule material was absent or oversized.
  • (19) In 1,071 men randomly selected from the general population and in an unrelated sample of 1,209 military men, systolic and diastolic blood pressure were correlated with urinary sodium following a model, which included both the linear and quadratic terms of urinary sodium.
  • (20) A quadratic discriminant analysis of morphometric-densitometric data of tumour cell nuclei and semiquantitative microscopic data gave a 94% agreement with subjective grading.