What's the difference between infinitesimal and vanish?

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.

Vanish


Definition:

  • (v. i.) To pass from a visible to an invisible state; to go out of sight; to disappear; to fade; as, vapor vanishes from the sight by being dissipated; a ship vanishes from the sight of spectators on land.
  • (v. i.) To be annihilated or lost; to pass away.
  • (n.) The brief terminal part of vowel or vocal element, differing more or less in quality from the main part; as, a as in ale ordinarily ends with a vanish of i as in ill, o as in old with a vanish of oo as in foot.

Example Sentences:

  • (1) In goldfish intestine (perfused unstripped segments and mucosal strips) the serosal addition of ouabain (10(-4) M) resulted in a vanishment of the transepithelial potential difference and in a continuous increase in transepithelial resistance.
  • (2) Nevertheless, Richard Bacon MP, a member of the Public Accounts Committee, who has tirelessly tracked failings in NHS IT, said last night: "I think the chances that Lorenzo will be turned into a credible and popular product are vanishingly small.
  • (3) During the latest phase the periequatorial material is vanishing, the hyaloid capillaries disappear, the density of the posterior granular substance decreases.
  • (4) Peak pressures measured with the RP probe decreased to congruent with50 mm Hg and radial pressure asymmetry vanished.
  • (5) My scepticism has not vanished overnight and I cannot help but still be haunted by certain fears.
  • (6) In the case of 5-iminodaunomycin, a less cardiotoxic analogue, three-exponential decay is never observed and a fast-decaying component, pi approximately 0.2 ns, is already present at low r and vanishes for r greater than 0.5.
  • (7) Only 4 women had side-effects during the first weeks of treatment, and these vanished despite continued cabergoline administration at the same or reduced, but still effective, doses.
  • (8) The concept of the vanishing optotype chart offers alternative test targets, while utilizing the technique of preferential looking.
  • (9) And this isn’t a thrill confined to some mythical vanished golden age.
  • (10) He also thought autism was “vanishingly rare”, and affected only children – “he didn’t even consider the existence of autistic adults”.
  • (11) Does this count as campaigning?” “When was the last time you flipped a steak?” “What does it feel like to be in Iowa?” “Can you bring the reporters some meat?” “Are you running, Hillary,” one reporter shouted, finally, “from us?” Then Bill and Hillary disappeared around the corner; three quarters of the media scrum vanished, deflated.
  • (12) Intermediate-sized filaments which had been clearly shown in aged transparent normal cortices, virtually vanished in the opacified nuclei in contrast to microfilaments.
  • (13) The cuts affect a wide spectrum of projects: youth offending teams will shrink, probation staff numbers will dwindle, refugee advice centres will halve in size, Sure Start services will disappear, domestic violence centres will have to restrict the number of people they can help, HIV-prevention schemes will end, lollipop wardens will no longer be funded, help for women with postnatal depression will vanish, a work scheme for people who are registered blind will be wound down, day centres for street drinkers will close their doors, theatres will get less money, debt advice services will have fewer people available to help, fire stations will shut.
  • (14) A total vanishing of cargilage and a partial vanishing of bone, resulting from the lysis of their own fundamental substance.
  • (15) Leyland’s account had a mere 182 followers by the time it suddenly vanished.
  • (16) From the injection level to the other levels, the proximity effect rapidly vanishes while the modulus effect does not disappear until grounded level is reached.
  • (17) Intracellular lipids and cell alterations vanish more readily than extracellular lipids and alterations of connective and matrical tissues.
  • (18) We report 17 cases of a vanishing fetus in a multiple gestation of greater than twins.
  • (19) Reduction in the amount of carbohydrate material in the epithelial cells of the mid-gut is associated with change in intracellular localization (by vanishing from definite sites, not by migration).
  • (20) They are Edwardian reconstructions of earlier (mainly goldsmiths’) signs, reappropriated by early 20th-century banks, though the signs of the black eagle and the black horse, which became the logos for Barclays and Lloyd’s, have vanished.