What's the difference between linear and quartic?

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.

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.