What's the difference between quadratic and quartic?

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.

Quartic


Definition:

  • (a.) Of the fourth degree.
  • (n.) A quantic of the fourth degree. See Quantic.
  • (n.) A curve or surface whose equation is of the fourth degree in the variables.

Example Sentences:

  • (1) To calculate NEmkg, dietary intake must be known or estimated, or it can be calculated using a complicated quartic equation.
  • (2) The patterns comprised linear, quadratic, cubic, and quartic mathematical functions and varied in spatial complexity.
  • (3) The transformed values of the third and fourth methods are obtained as the numerical solutions of quartic equations.
  • (4) The analysis of obtained expression for the repressor--operator system showed that binary code would preferable than quartic one.
  • (5) The associated Rs were: linear 0.966, quadratic 0.971, cubic 0.971, and quartic 0.977.
  • (6) By explicitly constructing this region, we derive a quartic equation that gives the largest measured calcium for which aequorin can be assumed to give an overestimate, as a function of the maximum calcium fluctuation.
  • (7) Post hoc analysis revealed a significant quartic trend for age.
  • (8) This quartic equation, when solved, gives the percentages of selected feedstuffs necessary to balance a diet.
  • (9) Since in many models it is necessary to go beyond linear terms, quadratic, cubic and quartic terms are also derived explicitly and details given of their extension to higher degrees.
  • (10) The polynomial coefficients provided an accurate description of dental arch morphology with the quadratic (chi 2) and quartic (chi 4) terms reflecting arch shape and the linear (chi) and cubic (chi 3) terms summarizing asymmetry.
  • (11) There were no significant differences between the groups in either the quadratic or quartic terms.
  • (12) It remains a quartic equation, but the coefficients for the first three factors of the equation are fixed, with only the unary X term and the coefficient containing variables.
  • (13) Distribution of ambient SO2, and IP concentrations were described using a quartic trend surface simulation.
  • (14) In each case, the audiogram could be approximated by a quartic equation.
  • (15) The quartic equation may be simplified by inserting imaginary nutrient values that optimize the equation for simplicity.
  • (16) However, when the antibody titers of individual hens were measured, their titers regressed on time in a significant quartic curvilinear fashion.
  • (17) The bile acid pool half-life remained constant until 28 days of age when it increased significantly and then held steady until it increased again at 8 wk of age following a quartic trend.
  • (18) The mean difference between actual thresholds and those predicted by the best-fit quartic did not exceed 7.72 dB and was less than 5 dB for eight of the 11 frequencies for which comparisons were made.