What's the difference between irreducible and polynomial?
Irreducible
Definition:
(a.) Incapable of being reduced, or brought into a different state; incapable of restoration to its proper or normal condition; as, an irreducible hernia.
(a.) Incapable of being reduced to a simpler form of expression; as, an irreducible formula.
Example Sentences:
(1) This, in principle, is similar to creating an irreducible hernia.
(2) Three infants presented with acute scrotal swelling, erythema, and a tender irreducible firm mass within the scrotum.
(3) IVP in both the cases of irreducible prolapse and retention of urine revealed hydroureter and hydronephrosis bilaterally.
(4) Among the problems that have arisen in testing for pregnancy by hCG determination are the interference of proteinuria with urine pregnancy tests, an irreducible level of technical error, the tendency of certain drugs to produce a false-positive result, and quality control.
(5) The authors present a case report of a 65-year-old male with a two-day history of a painful irreducible right inguinal mass; he denied abdominal pain, nausea, vomiting, fever, or chills.
(6) This severe spasticity was associated with irreducible flexion contracture in 49 cases and hyperextension in 3 others.
(7) An exact understanding of the damaged structures and causes of irreducibility frequently makes this an injury often requiring open reduction and selective repair of damaged soft tissue structures.
(8) The case is different from the classic picture in that it is revealed late, by its cardiac manifestations which dominate the clinical picture and lead to an irreducible cardiac insufficiency requiring a heart transplant.
(9) This essay argues that gender is an irreducible category of clinical observation and theorizing, as crucial to the family therapy paradigm as the concept of "generation."
(10) A case of irreducible complete dorsoulnar dislocation of the proximal phalanx of the thumb is presented.
(11) In the paper, the errors in diagnosis of strangulated irreducible hernias are analysed.
(12) The second neurovascular glaucoma, an irreducible complication of the ischemic capillaropathy was for 22% of the studied cases.
(13) Operation was reserved, in general, for patients with irreducible dislocations and incomplete neurological lesions, open reduction and internal fixation being the commonest procedure.
(14) An irreducible sacroiliac dislocation of the pelvic ring with resultant caudal displacement of the injured hemipelvis occurred in a 15-year-old female.
(15) These lesions progress slowly and may eventually result in complete and irreducible trismus.
(16) Of the 50 joints assessed, arthrography demonstrated 39 (78%) with irreducible meniscal displacement and 11 (22%) with reducible displacement.
(17) Irreducible intussusceptions were created in eight adult mongrel dogs.
(18) We report a case of an irreducible volar dislocation of the distal radioulnar joint following open anatomic reduction of the radius.
(19) Four patients in the enteric group had resection; one for neoplasm and three for irreducibility.
(20) As far as irreducible tinnitus are concerned, as anxiety is the most pejorative parameter, not discouraging the patient is very important.
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.