What's the difference between algebraic and polynomial?
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.
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.