What's the difference between algebraic and quartic?

Algebraic


Definition:

  • (a.) Alt. of Algebraical

Example Sentences:

  • (1) Alphaxalone and endogenous steroid hormone metabolites inhibit the binding of [35S]-t-butyl bicyclophosphorothionate in some regions, enhance it in others and give biphasic concentration-dependence in others, apparently the result of algebraic summation of two effects involving regional-dependent enhancement or inhibition.
  • (2) When likelihood ratios are expressed as an algebraic function, maximum values are easily determined, hence fixing the limits of DNA analysis.
  • (3) Older subjects gave higher absolute error correction scores especially at the low error discriminability level, and the younger subjects did not show the negative correction bias (algebraic error) as suggested by the performance of the two older groups.
  • (4) Many tasks (e.g., solving algebraic equations and running errands) require the execution of several component processes in an unconstrained order.
  • (5) algebraic sum of these three cosine functions yielded a circadian waveform with peak-times occurring near 0300 and 1130 hr and a trough-time about 2200 hr.
  • (6) Parameters of quantitative genetic models have traditionally been estimated by either algebraic manipulation of familial correlations (or familial mean squares), biometric model fitting, or multiple-group covariance structure analysis.
  • (7) The slight diminution of this increase when (+)-erythro-DOPS was administered after inhibition of peripheral decarboxylase, might result from the algebraic sum of two inversely acting processes: suppression of NE synthesis in the capillary walls and enhancement of parenchymatous NE in some brain areas.
  • (8) The effect of self fertilization on the distribution of genetic types in a population can be represented algebraically by a linear transformation.
  • (9) Theories of denture retention have suffered from confusion of model, algebraic errors, and misapprehension of the physics of capillarity, adhesion and cohesion, as well as the role of atmospheric pressure.
  • (10) This derivation, stemming from first principles and founded on experimental data, does not quantitatively specify the additive (K'1) or multiplicative constant (K'2), but constrains the algebraic relationship of QT as a function of R-R.
  • (11) An algebraic analysis of patterns of hospitalization and case-control selection demonstrates that Berkson's bias will be avoided if both cases and controls are chosen from the community or if he = 0.
  • (12) By simple algebraic manipulation, Zelman introduced a pair of new reflection coefficients, and a third new parameter gamma which he misleadingly calls the "deviation from the dilute solution approximation."
  • (13) He merely wanted to highlight how Islam, which produced algebra and kept safe the Greek philosophers of antiquity in the middle ages, had lost its way scientifically by focusing too much on the study of religion.
  • (14) The graphic representation of family data for the computation of the coefficients of inbreeding [F] and relationship [r] can be replaced by an algebraic method.
  • (15) Traditional "stimulus-time-locked signal averaging" of human EEG, as usually practiced in both clinical and basic contexts, assumes the superposition principle of algebraic summation for a linear time series.
  • (16) Analysis of an algebraic model of multi-level exposure misclassification reveals that all odds ratios based on the misclassified data are constrained between the nonmisclassified odds ratio for the most extreme category and the inverse of this value.
  • (17) Then the integral equation is reduced to a system of algebraic equations of z - 1th degree with N + 1 unknowns.
  • (18) In the Appendix to this paper an algebraic relation is given which must be satisfied for two cysteine residues to make a disulfide bond.
  • (19) Understanding patterns that are associated with survival or death may require alternative mathematic approaches, such as group and set theory manipulated by principles of Boolean algebra.
  • (20) Concordance-dependent ascertainment is easily modeled algebraically; non-independent ascertainment is more complex and we here propose a model based on survival analysis.

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.