What's the difference between polynomial and variable?
Polynomial
Definition:
(n.) An expression composed of two or more terms, connected by the signs plus or minus; as, a2 - 2ab + b2.
(a.) Containing many names or terms; multinominal; as, the polynomial theorem.
(a.) Consisting of two or more words; having names consisting of two or more words; as, a polynomial name; polynomial nomenclature.
Example Sentences:
(1) The dual-line and polynomial regression techniques fit the data better (mean residual square deviation 0.024 and 0.031, respectively) than the single-regression line approach (0.110).
(2) The N2O dose-response data for each animal were fit by a second-order polynomial equation to estimate the value of a second-order coefficient.
(3) The calculation is made from a newly derived third-degree polynomial reflecting the ratio of the optic densities of whole nonstabilized blood hemoglobin aqueous solution in the 560-580 and 535-560 nm bands.
(4) Relative dose functions for 125I for these phantom media are fitted to second-degree polynomials.
(5) For this purpose we employed a third-degree polynomial regression analysis which showed a better fit of the data.
(6) Changes in pressures (IAP, CVP) and shunt flow were tabulated and analyzed with linear and polynomial regression.
(7) 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.
(8) The superiority of the R3SSE over two related equations--a simple second-degree polynomial equation and a simplified form of the R3SSE which neglects contributions to solubility from the solvent mixture--is also demonstrated for a number of solutes.
(9) The polynomial logit-log procedure gave the best fit, but this was probably due to the inherent flexibility of this curve-fitting process since the analytical precision achieved with it was not better than what was obtained with most of the other procedures.
(10) A theorem about correspondence of the graph constructed and coefficients of the characteristic polynomial of linearized kinetic equations is proved.
(11) A tabulation is given of the polynomials for all possible stereoisomers of many of the knotted and catenated forms that are found in DNA.
(12) We present a polynomial algorithm (O(n X L4), where n is the number of sequences) for generating strings related to the LCS and constructed with the sequence alphabet and an indetermination symbol.
(13) The LV volume curve was smoothed by fitting a fourth order polynomial curve of Fourier's analysis.
(14) This case reduces to Wyman's binding polynomial analysis.
(15) Hence, the dose response relationship for the trophic effect of gastrin on the enterochromaffin like cells seems to follow a polynomial rather than a linear function.
(16) Polynomial curves were fitted to each race and sex group and, from these, estimates were made of the 3rd, 50th, and 97th percentiles for height and weight.
(17) The H-H rate constants, alpha and beta, are approximated by polynomial functions rather than exponential functions, since the former are handled more efficiently by SPICE.
(18) A third-order polynomial function would theoretically explain better than a linear relation or a parabolic fit the curved shape of experimentally obtained P-Q relationships.
(19) A polynomial regression fits the best the results: the speed of acquisition of this kind of learning decreases between the ages of 3 and 35 days, a plateau being observed in flies older than 35 days.
(20) It involves a conceptual dissection of the polypeptide chain into interacting blocks; the behavior of any block with side-chain interactions is treated then with conventional binding polynomial techniques.
Variable
Definition:
(a.) Having the capacity of varying or changing; capable of alternation in any manner; changeable; as, variable winds or seasons; a variable quantity.
(a.) Liable to vary; too susceptible of change; mutable; fickle; unsteady; inconstant; as, the affections of men are variable; passions are variable.
(n.) That which is variable; that which varies, or is subject to change.
(n.) A quantity which may increase or decrease; a quantity which admits of an infinite number of values in the same expression; a variable quantity; as, in the equation x2 - y2 = R2, x and y are variables.
(n.) A shifting wind, or one that varies in force.
(n.) Those parts of the sea where a steady wind is not expected, especially the parts between the trade-wind belts.
Example Sentences:
(1) Although the mean values for all hemodynamic variables between the two placebo periods were minimally changed, the differences in individual patients were striking.
(2) Single-case experimental designs are presented and discussed from several points of view: Historical antecedents, assessment of the dependent variable, internal and external validity and pre-experimental vs experimental single-case designs.
(3) We have examined overlapping octapeptides from the kappa IIIb light chain variable region and show that some framework peptides have the ability to bind aggregated IgG.
(4) The family comprises at least three variable (V) gene segments, three constant (C) gene segments, and three junction (J) gene segments.
(5) Altogether 47 variables were investigated, and of these 34 gave results which were statistically significant.
(6) Variables included an ego-delay measure obtained from temporal estimations, perceptions of temporal dominance and relatedness obtained from Cottle's Circles Test, Ss' ages, and a measure of long-term posthospital adjustment.
(7) However, it is easier for them to cope with anxiety because premedication pacifies the patients, whereas each of the dependent variables, such as apprehension, is influenced differently.
(8) The half-life was very variable between subjects [2-8 hours], but less variable within subjects and it was unaffected by the formulation.
(9) Since 1979, patients started on long-term lithium treatment at the Psychiatric Hospital in Risskov have been followed systematically with recording of clinical and laboratory variables before the start of treatment, after 6 and 12 months of treatment, and thereafter at yearly intervals.
(10) Aside from these characteristic findings of HCC, it was important to reveal the following features for the diagnosis of well differentiated type of small HCC: variable thickening or distortion of trabecular structure in association with nuclear crowding, acinar formation, selective cytoplasmic accumulation of Mallory bodies, nuclear abnormalities consisting of thickening of nucleolus, hepatic cords in close contact with bile ducts or blood vessels, and hepatocytes growing in a fibrous environment.
(11) Examined specific relationships, as they occur in nature, between particular dietary variables or groups of variables and specific MMPI subscales.
(12) Excretion of inactive kallikrein again correlated with urine flow rate but the regression relationship between the two variables was different for water-load-induced and frusemide-induced diuresis.
(13) Our prospective study has defined a number of important variables in patients with clinical evidence of mast cell proliferation that can predict both the presence of SMCD and the likelihood of fatal disease.
(14) The dilemmas faced by the genetic counsellor are discussed in this variable autosomal dominant condition.
(15) Regression analysis on the 21 clinical or laboratory parameters studied showed that the only variable independently associated with CSF-FN was the total protein concentration in the CSF; this, however, explained only 14% of the observed variation in the CSF-FN concentration and did not show any correlation with CNS involvement.
(16) A number of variables which could influence the test has been evaluated and standardized in a way suitable for the routinary use of the technique described.
(17) There is a considerably larger variability of the mercury levels in urine than in blood.
(18) Blood gas variables produced from a computed in vivo oxygen dissociation curve, PaeO2, P95 and C(a-x)O2, were introduced in the University Hospital of Wales in 1986.
(19) Variability (CV = 0.7%) in body volume of a 45-year-old reference man measured by SH method was very similar to variation (CV = 0.6%) in mass volume of the 60-1 prototype.
(20) Both demographically and clinically assessed behavioral variables were related to a number of outcome measures, including days in the community, clinical ratings, and family assessment.