What's the difference between polynomial and quadratic?
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.
Quadratic
Definition:
(a.) Of or pertaining to a square, or to squares; resembling a quadrate, or square; square.
(a.) Tetragonal.
(a.) Pertaining to terms of the second degree; as, a quadratic equation, in which the highest power of the unknown quantity is a square.
Example Sentences:
(1) Two recent innovations in time-dose models are reviewed: the linear-quadratic (L-Q) and the variable-exponent Time-Dose Factor (TDF) models.
(2) A sample of 481 clinical isolates from nine of the most commonly isolated gram-negative groups was identified by the quadratic discriminant function technique.
(3) The reported second-order quadratic curves could be used as reference for prosthetic and orthodontic reconstructions.
(4) Egg production and egg specific gravity were correlated to D3 level in a quadratic fashion.
(5) The pattern of gastric emptying assumed the following three attitudes, that is, exponential (44%), quadratic (29%) and unclassified (27%) pattern.
(6) Plasma urea concentrations decreased linearly (P less than .01) on d 28 as lysine level increased, whereas plasma lysine and insulin were increased (quadratic, P less than .01).
(7) Sound velocities, breaking strengths calculated from velocities adjusted for estimated soft tissue cover, measured bone mediolateral diameters and cannon diameters minus estimated soft tissue increased as quadratic functions of chronologic age (r greater than .840; P less than .0001).
(8) This model corresponds to quadratic summation of the stimulus followed by a random threshold device.
(9) The growth rate of broiler chicks fed the diets increased quadratically (P less than .001) with L-threonine addition.
(10) Primitively, vibrations reached the stapes mainly via the anterior hyoid cornu, but in dicynodonts, therocephalians, and cynodants vibrations passed mainly or exclusively from mandible to quadrate to stapes and the reflected lamina was a component of the eardrum.
(11) In the 3 subsets with duration of disease less than 21 years, stepwise regression produced in the final step linear or quadratic combinations not containing duration of disease but correlating quite well with the 'Larsen index' (R = 0.64-0.96).
(12) Conduction changes were better fitted by this "quadratic model" (least sum of squared deviations 3.9 x 10(-3) by mapping in five dogs, 2.7 x 10(-2) by use of QRS duration in nine dogs) than by a monoexponential model (sum of squared deviations 5.7 x 10(-3) by mapping, 3.4 x 10(-2) with QRS; p less than 0.01 vs. quadratic model for each).
(13) The diagnosis of gravity rests on the measurement of the mean gradient by applying Bernouilli's equation and the point by point quadratic transformation of the transmitral velocity curve obtained by Doppler and the measurement of the mitral area either by measurement of the half-decrease time in pressure or by applying the continuity equation.
(14) In the case of quadratic regression, the type I error will be increased by roughly 50 per cent.
(15) Both food and water intake showed a quadratic relationship with the level of added dietary Cu.
(16) were not found to increase when tested by linear and quadratic models of time trend.
(17) Dose-effect relationships for most of the sampling times were linear and sometimes linear-quadratic concave upward or downward.
(18) The parietal, squamosal, and exoccipital bones, and the quadrate cartilage were displaced when otic capsule material was absent or oversized.
(19) In 1,071 men randomly selected from the general population and in an unrelated sample of 1,209 military men, systolic and diastolic blood pressure were correlated with urinary sodium following a model, which included both the linear and quadratic terms of urinary sodium.
(20) A quadratic discriminant analysis of morphometric-densitometric data of tumour cell nuclei and semiquantitative microscopic data gave a 94% agreement with subjective grading.