What's the difference between degree and polynomial?
Degree
Definition:
(n.) A step, stair, or staircase.
(n.) One of a series of progressive steps upward or downward, in quality, rank, acquirement, and the like; a stage in progression; grade; gradation; as, degrees of vice and virtue; to advance by slow degrees; degree of comparison.
(n.) The point or step of progression to which a person has arrived; rank or station in life; position.
(n.) Measure of advancement; quality; extent; as, tastes differ in kind as well as in degree.
(n.) Grade or rank to which scholars are admitted by a college or university, in recognition of their attainments; as, the degree of bachelor of arts, master, doctor, etc.
(n.) A certain distance or remove in the line of descent, determining the proximity of blood; one remove in the chain of relationship; as, a relation in the third or fourth degree.
(n.) Three figures taken together in numeration; thus, 140 is one degree, 222,140 two degrees.
(n.) State as indicated by sum of exponents; more particularly, the degree of a term is indicated by the sum of the exponents of its literal factors; thus, a2b3c is a term of the sixth degree. The degree of a power, or radical, is denoted by its index, that of an equation by the greatest sum of the exponents of the unknown quantities in any term; thus, ax4 + bx2 = c, and mx2y2 + nyx = p, are both equations of the fourth degree.
(n.) A 360th part of the circumference of a circle, which part is taken as the principal unit of measure for arcs and angles. The degree is divided into 60 minutes and the minute into 60 seconds.
(n.) A division, space, or interval, marked on a mathematical or other instrument, as on a thermometer.
(n.) A line or space of the staff.
Example Sentences:
(1) Tryptic digestion of the membranes caused complete disappearance of the binding activity, but heat-treatment for 5 min at 70 degrees C caused only 40% loss of activity.
(2) A slight varus angle of 2.1 degrees became apparent.
(3) The optimal size for stimulation was between 5 degrees and 12 degrees (visual angle).
(4) Between 25 and 40 degrees C, the thermal dependencies of VR and f were approximately constant (Q10's of 1.31 and 1.36 got VR and f, respectively).
(5) Ethanol and L-ethionine induce acute steatosis without necrosis, whereas azaserine, carbon tetrachloride, and D-galactosamine are known to produce steatosis with varying degrees of hepatic necrosis.
(6) Estimations of the degree of incorporation of 14C from the radioactive labeled carbohydrate into the glycerol and fatty acid moieties were carried out.
(7) The results demonstrated that K2PtCl4 was bound to a greater degree than CDDP in this system with 3-5 and 1-2 platinum atoms respectively, bound per transferrin molecule.
(8) However, the degree of sedation caused by diphenhydramine was significantly greater than that caused by cimetidine (P = .0001).
(9) The amino acid pools in Chinese hamster lung V79 cells were measured as a function of time during hyperthermic exposure at 40.5 degrees and 45.0 degrees C. Sixteen of the 20 protein amino acids were present in sufficient quantity to measure accurately.
(10) Augmentation of transformation response was generally not seen at 40 degrees C; incubation at that temperature was associated with decreased cellular viability.
(11) Sperm were examined at 4.5 h, 8 to 9 h, and 24 to 25 h of incubation (37 degrees C, 5% CO2, and 95% air).
(12) The 40 degrees C heating induced an increase in systolic, diastolic, average and pulse pressure at rectal temperature raised to 40 degrees C. Further growth of the body temperature was accompanied by a decrease in the above parameters.
(13) It was also shown that after a shock at 44 degrees C teratocarcinoma cells were able to accumulate anomalous amounts of hsp 70 despite hsp 70 synthesis inhibition.
(14) This analysis demonstrated that more than 75% of cosmids containing a rare restriction site also contained a second rare restriction site, suggesting a high degree of CpG-rich restriction site clustering.
(15) When the eye was dissected into anterior uveal, scleral, and retinal complexes, prostaglandin D2 was formed in the highest degree in all the complexes, whereas prostaglandin E2 and F2 alpha formation was specific to given ocular regions.
(16) The tilt was reproduced with a typical spread of about 10 degrees.
(17) The degree of increase in Meth responsiveness elicited by the initial provocation is a major factor in determining the airway response to a subsequent HS challenge.
(18) In particular, inflammatory reaction was significantly more frequent and severe in ischemic groups than in controls, independent of the degree of coronary stenosis.
(19) The half-life of the enzyme at 85 degrees C was 40 min.
(20) Comparison of developmental series of D. merriami and T. bottae revealed that the decline of the artery in the latter species is preceded by a greater degree of arterial coarctation, or narrowing, as it passes though the developing stapes.
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.