What's the difference between integer and integral?

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.

Integral


Definition:

  • (a.) Lacking nothing of completeness; complete; perfect; uninjured; whole; entire.
  • (a.) Essential to completeness; constituent, as a part; pertaining to, or serving to form, an integer; integrant.
  • (a.) Of, pertaining to, or being, a whole number or undivided quantity; not fractional.
  • (a.) Pertaining to, or proceeding by, integration; as, the integral calculus.
  • (n.) A whole; an entire thing; a whole number; an individual.
  • (n.) An expression which, being differentiated, will produce a given differential. See differential Differential, and Integration. Cf. Fluent.

Example Sentences:

  • (1) Some common eye movement deficits, and concepts such as 'the neural integrator' and the 'velocity storage mechanism', for which anatomical substrates are still sought, are introduced.
  • (2) The influence of the various concepts for the induction of lateral structure formation in lipid membranes on integral functional units like ionophores is demonstrated by analysing the single channel current fluctuations of gramicidin in bimolecular lipid membranes.
  • (3) "As the investigation remains live and in order to preserve the integrity of that investigation, it would not be appropriate to offer further comment."
  • (4) The data on mapping the episomal plasmid integration sites in yeast chromosomes I, III, IV, V, VII, XV are presented.
  • (5) The coefficient of variation in the integrated area of a single peak is 16%.
  • (6) It is likely that trunk mobility is necessary to maintain integrity of SI joint and that absence of such mobility compromises SI joint structure in many paraplegics.
  • (7) The purpose of this paper is to discuss the potential for integrating surveillance techniques in reproductive epidemiology with geographic information system technology in order to identify populations at risk around hazardous waste sites.
  • (8) Breast reconstruction should not be limited to the requiring patients, but should represent, in selected cases with favourable prognosis, an integrative and complementary procedure of the treatment.
  • (9) The authors conclude that H. pylori alone causes little or no effect on an intact gastric mucosa in the rat, that either intact organisms or bacteria-free filtrates cause similar prolongation and delayed healing of pre-existing ulcers with active chronic inflammation, and that the presence of predisposing factors leading to disruption of gastric mucosal integrity may be required for the H. pylori enhancement of inflammation and tissue damage in the stomach.
  • (10) We conclude that neuronal activities in the region of the retrofacial nucleus are important both in the integration of stimuli from the central chemoreceptors and in defining the discharge patterns of respiratory neurons.
  • (11) Only Arteparon had a favorable effect on the integrity of the articular surface.
  • (12) The process of integrating the two banks is expected to take three years, with predictions that up to 25,000 roles could eventually be eliminated.
  • (13) Angus (A), Charolais (C), Hereford (H), Limousin (L), and Simmental (S) breeds were included in deterministic computer models simulating integrated cow-calf-feedlot production systems.
  • (14) Their levels in urine are a useful indicator of the integrity of membrane barriers of the kidney glomerular capillary wall.
  • (15) The resistance of GSA 65 to proteolytic degradation, together with previous immunofluorescence data that indicate the antigen is an integral part of the G. lamblia cyst wall, suggests that this molecule may play a role in maintaining the integrity of the cyst in vivo.
  • (16) It is intended to aid in finding the appropriate PI (proportional-integral) controller settings by means of computer simulation instead of real experiments with the system.
  • (17) Coup leader Captain Amadou Sanogo on Friday pleaded for foreign help to preserve the territorial integrity of the former French colony, a major gold and cotton producer.
  • (18) The problem-based system provides a unique integration of acquiring theoretical knowledge in the basic sciences through clinical problem solving which was highly rated in all analysed phases.
  • (19) These included: 1) association of infectious processes with other laboratory results; 2) a feeling of integration with the patient and health care team; and 3) the introduction of medical terminology.
  • (20) Based on the results of the Community AIM Exploratory Action, further collaborative work is required at EEC level to create an Integrated Health Information Environment (IHE) allowing essentially for integration, modularity and security.