What's the difference between infinitesimal and unit?

Infinitesimal


Definition:

  • (a.) Infinitely or indefinitely small; less than any assignable quantity or value; very small.
  • (n.) An infinitely small quantity; that which is less than any assignable quantity.

Example Sentences:

  • (1) The first 2 ms of these transients were described by a linear model in which the fibre is regarded as a rod composed of infinitesimally small, identical segments containing a mass, one undamped elastic element and in the case of relaxed fibres two damped elastic elements in series, or in the case of activated fibres three such elastic elements in series.
  • (2) These equations can be solved easily by stepwise numerical integration involving sucessive infinitesimal rotations (SIR).
  • (3) The present day IBV might be progeny from a unique pool of primordial genome via mutation and host-induced variation, or even persistence of primordial virus as an infinitesimal portion of the population.
  • (4) Examples of current input considered are (1) an infinitesimally brief (Dirac delta function) pulse and (2) a step pulse.
  • (5) Pickup, now 71, recalls the "horrible, infinitesimal detail of how accurate you had to be, partly because you didn't want stones bouncing off the pram into the audience".
  • (6) The chances of Keeler being installed in Downing Street were infinitesimal.
  • (7) For infinitesimal steps the eigen-functions of the diffusion operator are known analytically, while for random motion of arbitrary step size they are determined by diagonalizing the transition matrix appropriate for the step model used.
  • (8) The two principal plasminogen activators (PA) and the two PA-inhibitors are present in infinitesimal concentrations in blood (pM to microM range) and in tissues.
  • (9) Experimental spectra are compared with computer simulations of spectra carried out for isotropic Brownian (limit of infinitesimal step size) and free diffusion (arbitrary step size) models.
  • (10) The infinitesimal change in entropy of a system (dS) is calculated by measuring how much heat has entered a closed system (δQ) divided by the common temperature (T) at the point where the heat transfer took place.
  • (11) However, incidence data indicate the chance of disclosing tumors, non-inflammatory cysts or other serious bone disease in the asymptomatic patient by screening jaw films is infinitesimal.
  • (12) Statistical analysis permitted empirical evaluation of creep of the cellular membrane within the range of infinitesimal stress.
  • (13) "The chances of each of us coming into existence are infinitesimally small," he argues, "and even though we shall all die some day, we should count ourselves fantastically lucky to get our decades in the sun."
  • (14) Of course, fear of risk is actually the bestselling tool of all: it is the basis of the entire insurance industry, whose profit base is predicated on the fact that fear is a very real emotion selling the product, but the statistical probability of anything actually happening, well, that is infinitesimal.
  • (15) The armed seizure of the Crimean parliament, the cynical insistence that Russian troops were not operating in Crimea when they clearly were, and the breakneck speed and flagrant violations involved in organising the Crimean referendum at short notice have been hidden behind a thread of plausible deniability stretched infinitesimally thin – and a knowing smirk on Putin's face.
  • (16) It is shown that the behavior of these waves may be explained, to a large extent, by considering the effect of the continuous stream of infinitesimal reflections that is set up whenever any wave travels in a region of vessel where the local impedance, (that is, the ratio of elastic wavespeed to tube area) is not constant.
  • (17) These changes could not be attributed to the effects of inbreeding or of selection in an infinitesimal model and suggested that some change in variance due to change in gene frequency had occurred during the course of the experiment.
  • (18) Ten healthy subjects received two treatments: a single 1 g oral dose of nalidixic acid (NA) followed 1 h later by either an infinitesimal dilution of the drug (NA 7CH) or by succussed water which served as placebo.
  • (19) The finite deformation theory describes the large strain behavior of cartilage observed in one-dimensional confined compression experiments at equilibrium, and it reduces to the linear biphasic theory under infinitesimal strain and slow strain rate conditions.
  • (20) Watson jokes that he has worked out that his Luton Town has an infinitesimally small chance of making it to the Premier League in time for matches to be aired on BT Vision before the end of the three-year deal in 2016.

Unit


Definition:

  • (n.) A single thing or person.
  • (n.) The least whole number; one.
  • (n.) A gold coin of the reign of James I., of the value of twenty shillings.
  • (n.) Any determinate amount or quantity (as of length, time, heat, value) adopted as a standard of measurement for other amounts or quantities of the same kind.
  • (n.) A single thing, as a magnitude or number, regarded as an undivided whole.

Example Sentences:

  • (1) The findings indicate that there is still a significant incongruence between the value structure of most family practice units and that of their institutions but that many family practice units are beginning to achieve parity of promotion and tenure with other departments in their institutions.
  • (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) Microionophoretically applied excitatory amino acids induced firing of extracellularly recorded single units in a tissue slice preparation of the mouse cochlear nucleus, and the similarly applied antagonist 2-amino-5-phosphonovalerate (2APV) was demonstrated to be a selective N-methyl-D-aspartate (NMDA) receptor antagonist.
  • (4) The Frenchman’s 65th-minute goal was a fifth for United and redemptive after he conceded the penalty from which CSKA Moscow took a first-half lead.
  • (5) This article describes a number of syndromes affecting the nail unit.
  • (6) The small units described here could be inhibitory interneurons which convert the excitatory response of large units into inhibition.
  • (7) The program met with continued support and enthusiasm from nurse administrators, nursing unit managers, clinical educators, ward staff and course participants.
  • (8) No significant change occurred in the bacterial population of our hospital unit during the period of the study (more than 3 years).
  • (9) Pokeweed mitogen-stimulated rat spleen cells were identified as a reliable source of rat burst-promoting activity (PBA), which permitted development of a reproducible assay for rat bone marrow erythroid burst-forming units (BFU-E).
  • (10) Twitch-tetanus ratios were calculated and found not to be related to unit contraction time.6.
  • (11) The hospital whose A&E unit has been threatened with closure on safety grounds has admitted that four patients died after errors by staff in the emergency department and other areas.
  • (12) High-grade and low-grade candidemia were defined as 25 colony-forming units or more per 10 ml and 10 colony-forming units or fewer per 10 ml of blood, respectively.
  • (13) Writing in the Observer , Schmidt said his company's accounts were complicated but complied with international taxation treaties that allowed it to pay most of its tax in the United States.
  • (14) The level of significance of the statistical estimate of the change in the number of phonoreactive units (its increase due to deprivation) amounts to 92%.
  • (15) the class- and specificity-restricted antigen-sensitive units.
  • (16) This article reviews the care of the chest-injured patient during the intensive care unit phase of his or her recovery.
  • (17) Focusing on two prospective payment systems that operated concurrently in New Jersey, this study employs the hospital department as the unit of analysis and compares the effects of the all-payer DRG system with those of the SHARE program on hospitals.
  • (18) Asthma is probably the commonest chronic disease in the United Kingdom, and its attendant morbidity extends outside the possible scope of the hospital sector.
  • (19) Gallic wine sales in the UK have been tumbling for the past 20 years, but the news that France, once the largest exporter to these shores, has slipped behind Australia, the United States, Italy and now South Africa will have producers gnawing their knuckles in frustration.
  • (20) The committee reviewed the history, original intent, current purpose, and effectiveness of meetings held on the unit; when problems were identified, suggestions for change were formulated.