(1) Ruminal digestion (% of intake) of neutral detergent fiber (NDF) and hemicellulose decreased linearly (P less than .05), whereas acid detergent fiber (ADF) digestion responded in a cubic (P less than .05) fashion to increasing concentrate level; NaHCO3 improved ruminal digestion of NDF (P less than .10) and ADF (P less than .05), but not hemicellulose.
(2) Synchronization of spontaneous otoacoustic emissions to a cubic distortion frequency fs = 2f1-f2 has been studied.
(3) In trial 1, weight gains of pigs increased linearly (P less than .005) while feed conversion improved cubically (P less than .05) as dietary tryptophan increased from .14 to .22%.
(4) The isolated and perfused dog heart was placed in a cubic container filled with Tyrode's solution.
(5) Each member of the team has a narrow bed and only three cubic metres of personal space.
(6) Forage contents of CP and ash showed a cubic (P less than .05) response to advancing stage of regrowth, with highest (23.6 and 11.0%, respectively) and lowest (14.7 and 9.1%, respectively) values for both fractions occurring at wk 1 and 5, respectively.
(7) This paper addresses the latter assumption by applying a direct and flexible approach, cubic spline functions, to two widely used models: the logistic regression model for binary responses and the Cox proportional hazards regression model for survival time data.
(8) Detailed analysis of microsphere distribution in a cubic centimeter of normal liver and the calculation of dose to a 3-dimensional fine grid has shown that the radiation distribution created by the finite size and distribution of the microspheres results in an highly heterogeneous dose pattern.
(9) There was a cubic response for mean concentrations of LH and amplitudes of LH pulses across the dosages of E2 administered; lower concentrations of E2 had little effect, whereas higher concentrations of E2 suppressed both mean LH and amplitude of LH pulses.
(10) If you squat in the corner of a big cube ( a cubical room, say), you can see at least a floor, a ceiling and three walls.
(11) The theoretically increased lifetime carcinogenic risk from a continuous lifetime exposure to hexavalent chromium fell within the range 12-146 cancer cases per nanogram hexavalent chromium per cubic meter of air per million people exposed, depending on the potency estimate used.
(12) Trend analysis of the fatigue patterns revealed that a cubic orthogonal polynomial equation was sufficient to describe the profile of MVC decrement for all conditions.
(13) The crystals are cubic, space group I23 or I2(1)3; the axial length is 151.1(2) A.
(14) On computer screens, the plume showed up as a patch of sky where levels of ash were above 200 micrograms per cubic metre.
(15) Six measures of asbestos-in-air concentration were considered: (1) total asbestos structures per cubic centimeter: (2) chrysotile structures per cubic centimeter; (3) amphibole structures per cubic centimeter; (4) structures per cubic centimeter at least 0.5 micron long and at least five times wide; (5) structures per cubic centimeter at least 5 microns long; and (6) structures per cubic centimeter at least 5 microns long and at least 0.2 micron wide.
(16) Administration of dexamethasone to the mother significantly increased total leukocyte and neutrophil counts (leukocytes per cubic millimeter blood) and decreased lymphocyte and eosinophil counts, but it did not change monocyte counts.
(17) Redwoods are taller, but giant sequoias win for sheer mass: the General Sherman's trunk has a volume of 1,487 cubic metres and is estimated to weigh over 2,000 tonnes.
(18) The cerebrospinal fluid (CSF) cell count ranged from 150 to 1500 leukocytes per cubic millimeter, with a mean eosinophil percentage of 38.
(19) However, after 50% stenosis, the data had a cubic relationship, the reduction of pressure occurring only in the middle range of mean arterial pressure.
(20) Pyramidal, cubical or hexagonal magnetic grains could be seen in different species of bacteria.
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.