What's the difference between polynomial and tractable?
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.
Tractable
Definition:
(v. t.) Capable of being easily led, taught, or managed; docile; manageable; governable; as, tractable children; a tractable learner.
(v. t.) Capable of being handled; palpable; practicable; feasible; as, tractable measures.
Example Sentences:
(1) The estimators are tractable even when there are incomplete observations.
(2) A smooth isolated, axisymmetric occlusion in a straight vascular tube is a tractable problem for pulsatile flow calculations via finite-difference approximations to the Navier-Stokes equation.
(3) Factor analysis was used as a statistical means to make the complex variables generated by the system more tractable to analysis.
(4) Evolutionary effects such as linkage disequilibrium and conservation of exons (DNA encoding structural proteins) as well as the fact that there are a tractable number of gene clusters involved, tend to make it quite likely that DNA pathology or DNA variation (polymorphism) predisposing to mental illness can be detected.
(5) Furthermore, the recognition of disseminated intravascular coagulation (DIC) in an early, tractable phase may be a matter of life and death.
(6) The model is distinctive in its ability to capture a significant broadening of auditory-nerve fiber frequency selectivity as a function of increasing sound-pressure level within a computationally tractable time-invariant structure.
(7) It is suggested that the use of biomarkers for persistent chemicals may be useful to mitigate the difficulty of determining exposure, while the use of more prevalent and timely end points, such as carcinogen-DNA adducts or oncogene proteins, may make the latency and rarity problems more tractable.
(8) Of particular interest to plant developmental biologists is the phenomenon of somatic embryogenesis in cultures of the domesticated carrot which, because of its tractable nature in experimental manipulations, is presently regarded as a suitable model for studying pattern formation in plants.
(9) The chain statistics problem is treated in an approximate manner using an approach motivated by scaled particle theory to describe the inter-chain steric repulsions in a mathematically tractable way.
(10) By ignoring cognitive factors and memory, a first-order Markov approach is taken, which is tractable for spatially homogeneous stimuli.
(11) The LI during the healing stage was higher than that during the active stage in both the tractable and intractable cases.
(12) In those cases where tractable models of heterogeneous systems can be developed, the experimental data are consistent with drops in PO2 on the order of a few hundredths of a Torr between cytosol and mitochondrion.
(13) In the world view Rubio outlined Wednesday, which he billed as a new doctrine, certain regional conflicts that look very difficult – the ongoing war in Syria, the failed state of Libya – in fact began as tractable problems that spun out of control due to tragic US negligence.
(14) Mathematically tractable alternatives are the linear formalism and the power-law formalism.
(15) With improvements in anaerobic handling procedures, this is beginning to change, and several experimentally tractable regulated systems of gene expression in methanogens are discussed.
(16) The main goals of the analysis are: to provide improved understanding of biochemical dynamics and their physiological significance, and to yield reduced dynamic models that are physiologically realistic but tractable for practical use.
(17) Results of this investigation suggest that bulimia displays a chronic but tractable course in that the majority of the patients continued to report bulimic behaviors at follow-up but the symptom intensity was greatly reduced from admission.
(18) Therefore, this review summarizes the rationale behind various experimental approaches, the nature and tractability of limitations, and the results which can be safely drawn from experimental studies to date.
(19) This approximation often makes the governing equations tractable, and analytical solutions may then be obtained.
(20) As a non-obligate metazoan, Dictyostelium discoideum has proven a particularly tractable system in which to identify and characterize cellular morphogens.