What's the difference between integer and irrational?

Integer


Definition:

  • (n.) A complete entity; a whole number, in contradistinction to a fraction or a mixed number.

Example Sentences:

  • (1) Slope conductances, determinable for substates II, V and VI (4.8, 11.7 and 14.0, respectively), are also consistent with six conductance substates which are integer multiples of a smallest conductance (state I).
  • (2) It is clear from these measurements (1) that there is no primary kinetic isotope effect and hence that hydrogen abstraction is not rate determining to the exchange and (2) that only one (as the closest integer) methyl hydrogen exchanges per turnover.
  • (3) For the normal ears, the psychometric functions were nonmonotonic, showing minima for gap durations corresponding to integer multiples of the signal period (n ms, where n is a positive integer) and maxima for durations corresponding to (n - 0.5) ms. For the impaired ears, the psychometric functions showed only small (nonsignificant) nonmonotonicities.
  • (4) The molecular weight of izupeptin A was determined to be 1,475 by SI (secondary ion)-MS (integer molecular weight, 1,473), and it contains two chlorine atoms.
  • (5) The first study used binary integer programming with a sample of 2343 children evaluated with the DDST in Denver's Neighborhood Health Program.
  • (6) The insertion, which splits the original telomere and causes a significant reduction in the size of the telomeric structure, is shown to consist of an integer number of subtelomeric repeats typical of P.berghei, flanked on both sides by telomere-derived motifs.
  • (7) It was found that the duration of short pauses was a multiple integer of the mean interspike interval of surrounding discharges.
  • (8) The development of a method for dialysis planning serves as a platform to demonstrate the use of integer programming to support decision making.
  • (9) For systematic sectioning with a random start, it has been recently shown that V is unbiased when m, the ratio between projected object length and section distance, is an integer number (Cruz-Orive 1985).
  • (10) Among test integers 6 through 33, the number 30, approximating the 29.53-day lunar-synodic month, was consistently and statistically a best-fit multiple to the data.
  • (11) The results support those of simplified models in showing that drug toxicity to the host may be minimized when the dosing interval is an integer multiple of the average cycle time of the host susceptible cells.
  • (12) A formal approach to incorporating travel times into dialysis planning, based on the formulation and solution of a mixed-integer programming model, is presented.
  • (13) Each subject's data were analyzed by spectral analysis (based on the fast Fourier transform), which detected apparent LRC (rates within 1% of a single-digit integer ratio) in 12 (40%) of the 30 test settings.
  • (14) We also show how the two-dimensional distribution of the noise variance in a CT image is a weighted superposition of images obtained by backprojecting integer powers of the noiseless projection data corresponding to the scanned object.
  • (15) For the integer data, there were no significant differences in speech intelligibility for 8- to 16-bit conversion.
  • (16) A non-linear integer programming procedure is used to find reasonable solutions to this problem.
  • (17) We have combined these results into a Law of Mortality, based on a Weibull function containing only integer parameters and constants, which is valid for all human age-related disease mortality.
  • (18) For instance, eye movements were made across an integer and odd number of checks in order to mimic the pattern reversal.
  • (19) minimal nonrandomness) composition, admitting non-integer values of ni; the integer level with optimal integer composition; the noise level, represented by a typical random cain; and the real protein level.
  • (20) These models predict that toxicity to the host of cell-cycle-phase-specific drugs can be minimised if the dosing interval is an integer multiple of the average intermitotic interval of the susceptible host cells.

Irrational


Definition:

  • (a.) Not rational; void of reason or understanding; as, brutes are irrational animals.
  • (a.) Not according to reason; absurd; foolish.
  • (a.) Not capable of being exactly expressed by an integral number, or by a vulgar fraction; surd; -- said especially of roots. See Surd.

Example Sentences:

  • (1) Take-out: Apple can still innovate and Apple can still generate irrational lust out of thin air.
  • (2) Irrational fear, anxiety and prejudice are not less common among health professionals than in the community generally; they require attention in HIV-related educational programs.
  • (3) This is the latest rejection for an irrational bully whose brand is increasingly toxic.” Referring to earlier controversial comments made on the US campaign trail, Salmond also said of Trump: His behaviour and comments are unlikely to attract the votes of many Mexican Americans or Muslim Americans.
  • (4) The high prevalence of harmful habits in the young families and also some unfavourable features of their lifestyle were detected (low physical activity, irrational diet, etc).
  • (5) Sure enough, the rowdy crowd in the Fox News audience gave him a lusty boo - the loudest of a rambunctious night and maybe of the entire primary season so far - while Gingrich called him "utterly irrational" for questioning the manner of Bin Laden's killing.
  • (6) There are rationally treatable fears arising from the acute situation (especially in rehabilitation patients) as well as the irrational anxieties of the mainly endogenous depressive.
  • (7) The irrational motivations of refusal (particularly, denial and delusional ideation) have been evoked much more often then rational motivations (therapeutic inefficiency, secondary effects).
  • (8) Although critics have argued that psychiatric medications in correctional settings are often prescribed in a clinically irrational manner, without adequate diagnostic criteria, and for the purposes of coercive control rather than treatment, there has been no systematic research in an attempt to validate these claims.
  • (9) And they should be able to "tolerate high levels of ambiguity and uncertainty and rapid change – and at times irrational political demands".
  • (10) He described Anderson as “highly intelligent,” “irrational,” and “calculated” in the violence he carried out against his former partner, Rosie Batty and their son.
  • (11) The danger is that it will leave their irrational aspects intact, while stripping away the essential protections they offer to our wildlife.
  • (12) In general, providing up-to-date information in a small group setting can effectively reduce irrational fears.
  • (13) People are dying to get into this company because they are on Facebook, it's irrational if you look at the numbers.
  • (14) Debating issues such as unemployment benefits and the rehabilitation of prisoners, I was suddenly propelled into the role of standalone lefty whose views were brandished "dreamy" and "irrational".
  • (15) The most frequent causes for destabilization of the remission were bronchopulmonary infections, incorrect reduction or discontinuing of the medication, formal supportive therapy, psychologic demobilization and irrational supportive therapy.
  • (16) I assert that this state of biological psychiatry is due to its violation of an epistemological criterion of rationality, i.e., the relevance criterion; that is, contemporary biological psychiatry is irrational as it adopts a conception irrelevant to the psychobiological domain.
  • (17) It is contended that these deviations, rather than representing irrational biases, could be due to (a) unspecified information over which causal inferences are computed and (b) the questionable normativeness of the models against which these deviations have been measured.
  • (18) But only now, when the world's biggest economies have been lashed by the fallout from the irrational exuberance of the markets, has the idea captured the imagination of their leaders, including Gordon Brown , right.
  • (19) The combined application of clonidine and prazosin in antihypertensive treatment is probably not only irrational but ought to be discouraged in view of the interaction between the drugs, which leads to a reduced antihypertensive potency of clonidine.
  • (20) He said Iran's enemies had understood the message of the naval exercises, saying: "We have no plan to begin any irrational act but we are ready against any threat."