What's the difference between equation and quartic?

Equation


Definition:

  • (n.) A making equal; equal division; equality; equilibrium.
  • (n.) An expression of the condition of equality between two algebraic quantities or sets of quantities, the sign = being placed between them; as, a binomial equation; a quadratic equation; an algebraic equation; a transcendental equation; an exponential equation; a logarithmic equation; a differential equation, etc.
  • (n.) A quantity to be applied in computing the mean place or other element of a celestial body; that is, any one of the several quantities to be added to, or taken from, its position as calculated on the hypothesis of a mean uniform motion, in order to find its true position as resulting from its actual and unequal motion.

Example Sentences:

  • (1) The data show that whenever the two half components correspond to different RTs, the resulting RT equates that of the faster component.
  • (2) The deep green people who have an issue with the language of natural capital are actually making the same jump from value to commodification that they state that they don’t want ... They’ve equated one with the other,” he says.
  • (3) Compared to the SRK II-equation the results of the new programme are much more precise.
  • (4) The intensity changes seen for alpha-fucose were found to follow a reversible first-order rate-equation and the rate constants obtained from different vibrational bands were found to be consistent among themselves and in reasonable agreement with those obtained by other techniques.
  • (5) The solution of these differential equations gives the velocity of the basilar membrane and hence other related quantities, e.g., displacement, pressure, driving-point impedance at the stapes.
  • (6) The tissue and an aliquot of bathing medium were counted for 3H and 14C content and the values entered into the Wadell and Butler equation.
  • (7) The retreating rate constants deduced from the dissolution results were well coincident with the values directly determined by the needle penetration method, suggesting good applicability of the proposed equation.
  • (8) The prediction equations significantly (t = 6.59, p less than 0.01) underestimated bench press performance in the more extensively weight trained subjects.
  • (9) I have equated nationalism with racism, xenophobia, inward-looking-ness and militarism.
  • (10) But Steven Brounstein, a lawyer for one of the officers, said: 'For the DA to be equating this case to a drive-by shooting is absurd.
  • (11) A conclusion is made that it is important to examine the eye fundus periphery and equator in patients with central vitreoretinal edematous fibroplastic syndrome.
  • (12) Based on a linear combination of N possible characteristic fluorescence spectra, and using N weighting functions, this method allows the integration of fluorescence intensities over the entire fluorescence spectra and the generation of n equations with N unknowns.
  • (13) A sound source is commonly spherical, therefore solutions are found for the wave equation in spherical coordinates, giving a precise meaning to the 'azimuthal' and 'magnetic quantum number' analogy.
  • (14) The data were analysed using statistical methods that yield continuous piecewise linear regression equations and allow subjects to have repeated measures which are unequally spaced and at different times for different subjects.
  • (15) The voltage trace is then analysed with a piece of transparent paper, on which lines corresponding to solutions of the diffusion equation convert the time axis of the voltage trace into a concentration axis.
  • (16) It is shown that when a constant current is applied such that a stable equilibrium and rhythmic firing are present, the following predictions are inherent in the HH system of equations: (a) Small instantaneous voltage perturbations to the axon given at points along its firing spike result in phase resetting curves (when new phase versus old phase is plotted) with an average slope of 1.
  • (17) Therefore, gene diffusion in energy space is described by the Focker--Plank's equation.
  • (18) Based on this mechanism the rate equation for the overall reaction was deduced and the various kinetic constants estimated.
  • (19) In this study we applied two commonly used birth weight prediction equations to a sample of 121 women with prolonged pregnancies.
  • (20) The degree of quenching was accurately predicted by a simple relation derived in this paper, as well as a more complex equation previously developed by Tweet, et al.

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.