What's the difference between linear and quadratic?

Linear


Definition:

  • (a.) Of or pertaining to a line; consisting of lines; in a straight direction; lineal.
  • (a.) Like a line; narrow; of the same breadth throughout, except at the extremities; as, a linear leaf.

Example Sentences:

  • (1) It was found that linear extrapolations of log k' versus ET(30) plots to the polarity of unmodified aqueous mobile phase gave a more reliable value of log k'w than linear regressions of log k' versus volume percent.
  • (2) There was a linear increase in the dimensions of these zones after the chewing.
  • (3) Photoirradiation of F1 in the presence of the analog leads to inactivation depending linearly on the incorporation of label.
  • (4) Using multiple regression, a linear correlation was established between the cardiac index and the arterial-venous pH and PCO2 differences throughout shock and resuscitation (r2 = .91).
  • (5) Linear and annular gap junctions between neighbouring cells were present, particularly in Group 1.
  • (6) The ED50 and ED95 of mivacurium in each group were estimated from linear regression plots of log dose vs probit of maximum percentage depression of neuromuscular function.
  • (7) Their receptive fields comprise a temporally and spatially linear mechanism (center plus antagonistic surround) that responds to relatively low spatial frequency stimuli, and a temporally nonlinear mechanism, coextensive with the linear mechanism, that--though broad in extent--responds best to high spatial-frequency stimuli.
  • (8) A significant linear correlation was found between the effect in this test and plasma and overall brain levels of metapramine.
  • (9) Under standardized conditions, the relationship between antigen content and inhibition of chromium release was linear in a semilogarithmic plot, indicating that the antigen content can be determined from testing two dilutions of a given preparation.
  • (10) The authors used a linear multivariate regression to evaluate the effects of distance from the highway, age and sex of the child, and housing condition.
  • (11) Equal numbers of handled and unhandled puparia were planted out at different densities (1, 2, 4 or 8 per linear metre) in fifty-one natural puparial sites in four major vegetation types.
  • (12) The data collection scheme for the scanner uses multiple rotations of a linearly shifted, asymmetric fan beam permitting user-defined variable resolution.
  • (13) The substructural units, 5-14 linear and 5-14 cyclic, have been used as models for MCH-- H-Asp1-Thr-Met-Arg-Cys-Met-Val-Gly-Arg HO-Val17-Glu-Trp-Cys-Pro-Arg-Tyr-Val in 1H-nmr conformational studies.
  • (14) In application to most proteins, this plot is linear and computer programs exist to evaluate it.
  • (15) The method described uses film DOT-I and DOT-II by Dupont, whereby the exposure of the step wedge takes place on a linear accelerator with a photo energy of 10 MeV.
  • (16) Production of glucose was a linear function of time for up to 120 min of incubation at 37 degrees C under a variety of conditions.
  • (17) The pattern of day to day variability in egg counts from individuals can be characterized by the linear relationship between the logarithms of the variances and means.
  • (18) Light-induced cone shortening provides a useful model for stuying nonmuscle contraction because it is linear, slow, and repetitive.
  • (19) Theoretical 13C NMR spectra for all possible structures of some linear polysaccharides were calculated by using additive scheme of glycosidation effects.
  • (20) The baseline serum hyaluronate (HA) concentration from samples obtained five to seven hours after mobilization of the patient was quantified using a radiometric 125I-HA binding method in 58 patients with rheumatoid arthritis and compared with several clinical and laboratory parameters by means of stepwise multiple linear regression.

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.