What's the difference between polynomial and reducible?
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.
Reducible
Definition:
(a.) Capable of being reduced.
Example Sentences:
(1) There was appreciable variation in toothbrush wear among subjects, some reducing their brush to a poor state in 2 weeks whereas with others the brush was rated as "good" after 10 weeks.
(2) Disease stabilisation was associated with prolonged periods of comparatively high plasma levels of drug, which appeared to be determined primarily by reduced drug clearance.
(3) These included bringing in the A* grade, reducing the number of modules from six to four, and a greater attempt to assess the whole course at the end.
(4) It is concluded that amlodipine reduces myocardial ischemic injury by mechanism(s) that may involve a reduction in myocardial oxygen demand as well as by positively influencing transmembrane Ca2+ fluxes during ischemia and reperfusion.
(5) Open field behaviors and isolation-induced aggression were reduced by anxiolytics, at doses which may be within the sedative-hypnotic range.
(6) With aging, the blood vessel wall becomes hyperreactive--presumably because of an augmented vasoconstrictor and a reduced vasodilator responsiveness.
(7) In addition, DDT blocked succinate dehydrogenase and the cytochrome b-c span of the electron transport chain, which also secondarily reduced ATP synthesis.
(8) Although Jeggo's Chinese hamster ovary cells were more responsive to mAMSA, novo still abrogated mAMSA toxicity in the mutant cells as well as in the parental Chinese hamster ovary cells 2,4-Dinitrophenol acted similarly to novo with respect to mAMSA killing, but neither compound reduced the ATP content of V79 cells.
(9) At pH 7.0, reduction is complete after 6 to 10 h. These results together with an earlier study concerning the positions of the two most readily reduced bonds (Cornell J.S., and Pierce, J.G.
(10) Methanosphaera stadtmanae reduces methanol to CH4 in a similar way as Methanosarcina barkeri.
(11) There is no evidence that health-maintenance organizations reduce admissions in discretionary or "unnecessary" categories; instead, the data suggest lower admission rates across the board.
(12) In schizophrenic patients the density of dopamine uptake sites in the basal ganglia was slightly reduced, mainly in the middle third of putamen.
(13) During recovery glucose uptake was reduced and citrate release was unaffected.
(14) The difference in BP between a hospital casual reading and the mean 24 hour ambulatory reading was reduced only by atenolol.
(15) Based on several previous studies, which demonstrated that sorbitol accumulation in human red blood cells (RBCs) was a function of ambient glucose concentrations, either in vitro or in vivo, our investigations were conducted to determine if RBC sorbitol accumulation would correlate with sorbitol accumulation in lens and nerve tissue of diabetic rats; the effect of sorbinil in reducing sorbitol levels in lens and nerve tissue of diabetic rats would be reflected by changes in RBC sorbitol; and sorbinil would reduce RBC sorbitol in diabetic man.
(16) This was unlike the action of the calcium channel blocker, cadmium, which reduced the calcium action potential and the a.h.p.
(17) aeruginosa and Enterococci) were significantly reduced in number during the manipulation (Fig.
(18) Arginine vasopressin further reduced papillary flow in kidneys perfused with high viscosity artificial plasma.
(19) Epidermal growth factor reduced plating efficiency by about 50% for A431 cells in different cell cycle phases whereas a slight increase in plating efficiency was seen for SiHa cells.
(20) Nicardipine lowered systolic and diastolic blood pressure to normal, plasma aldosterone was reduced and serum potassium levels were increased.