What's the difference between boundary and irreducible?

Boundary


Definition:

  • (n.) That which indicates or fixes a limit or extent, or marks a bound, as of a territory; a bounding or separating line; a real or imaginary limit.

Example Sentences:

  • (1) Patients with papillary carcinoma with a good cell-mediated immune response occurred with much lower infiltration of the tumor boundary with lymphocyte whereas the follicular carcinoma less cell-mediated immunity was associated with dense lymphocytic infiltration, suggesting the biological relevance of lymphocytic infiltration may be different for the two histologic variants.
  • (2) In contrast, boundary layer diffusion is operative in the release from the matrixes prepared by compression of physical mixtures.
  • (3) The review will now be delayed for five years, leaving the next election to be fought on the existing constituency boundaries, and seriously damaging David Cameron's chances of winning an overall majority in 2015.
  • (4) In Europe such escapees often find themselves recaptured by boundary adjustments.
  • (5) This gene was previously shown to have a DNase I- and S1-sensitive site for which the boundaries varied with the cell cycle, and we have now precisely mapped these modifications.
  • (6) Past measurements have shown that the intensity range is reduced at the extremes of the F0 range, that there is a gradual upward tilt of the high- and low-intensity boundaries with increasing F0, and that a ripple exists at the boundaries.
  • (7) The problem, however, is that this scale of economic planning and management is entirely outside the boundaries of our reigning ideology.
  • (8) His first ball reaches Ali at hip height and he flicks him to fine leg for a boundary that takes him to a quite epic century.
  • (9) Upon estimation of 5' and 3' boundaries, a 497 base stretch of homology with the TOP1 mRNA was found.
  • (10) Responses above the associated boundary decreased stimulus intensity, responses below the associated boundary increased stimulus intensity.
  • (11) The position of the sedimenting boundary can be observed at any time during the run, and up to six 'photographs' can be recorded for subsequent analysis.
  • (12) If figurative language is defined as involving intentional violation of conceptual boundaries in order to highlight some correspondence, one must be sure that children credited with that competence have (1) the metacognitive and metalinguistic abilities to understand at least some of the implications of such language (Lakoff & Johnson, 1980; Nelson, 1974; Nelson & Nelson, 1978), (2) a conceptual organization that entails the purportedly violated conceptual boundaries (Lange, 1978), and (3) some notion of metaphoric tension as well as ground.
  • (13) First, chains are constrained by their inability to penetrate the boundary.
  • (14) Within the developing CNS of mouse embryos the anterior boundaries of expression are specific for each gene.
  • (15) Cities and counties across the US have also passed laws that prohibit such performances from occurring within their boundaries.
  • (16) The rate of forward patch movement was generally greater at positions further behind the boundary.
  • (17) He said the proposals had been directed at seats that have not changed hands for many years, but said with the redrawing of the constituency boundaries required by David Cameron's desire to cut the number of constituencies no safe seats as previously defined would exist.
  • (18) A line iterative technique is described to solve numerically the resulting coupled system of nonlinear partial differential equations with physiologically relevant boundary and entrance conditions.
  • (19) Many Iranian women are already pushing the boundaries , and observers in Tehran say women who drive with their headscarves resting on their shoulders are becoming a familiar sight.
  • (20) And then, as the Guardian revealed at the weekend, there is the potentially devastating effect of the boundary changes, which can’t really be brought in before an early election but will radically tilt the field by 2020.

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.