What's the difference between infinitesimal and number?

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.

Number


Definition:

  • (n.) That which admits of being counted or reckoned; a unit, or an aggregate of units; a numerable aggregate or collection of individuals; an assemblage made up of distinct things expressible by figures.
  • (n.) A collection of many individuals; a numerous assemblage; a multitude; many.
  • (n.) A numeral; a word or character denoting a number; as, to put a number on a door.
  • (n.) Numerousness; multitude.
  • (n.) The state or quality of being numerable or countable.
  • (n.) Quantity, regarded as made up of an aggregate of separate things.
  • (n.) That which is regulated by count; poetic measure, as divisions of time or number of syllables; hence, poetry, verse; -- chiefly used in the plural.
  • (n.) The distinction of objects, as one, or more than one (in some languages, as one, or two, or more than two), expressed (usually) by a difference in the form of a word; thus, the singular number and the plural number are the names of the forms of a word indicating the objects denoted or referred to by the word as one, or as more than one.
  • (n.) The measure of the relation between quantities or things of the same kind; that abstract species of quantity which is capable of being expressed by figures; numerical value.
  • (n.) To count; to reckon; to ascertain the units of; to enumerate.
  • (n.) To reckon as one of a collection or multitude.
  • (n.) To give or apply a number or numbers to; to assign the place of in a series by order of number; to designate the place of by a number or numeral; as, to number the houses in a street, or the apartments in a building.
  • (n.) To amount; to equal in number; to contain; to consist of; as, the army numbers fifty thousand.

Example Sentences:

  • (1) However, as other patients who lived at the periphery of the Valserine valley do not appear to be related to any patients living in the valley, and because there has been considerable immigration into the valley, a number of hypotheses to explain the distribution of the disease in the region remain possible.
  • (2) These included bringing in the A* grade, reducing the number of modules from six to four, and a greater attempt to assess the whole course at the end.
  • (3) When micF was cloned into a high-copy-number plasmid it repressed ompF gene expression, whereas when cloned into a low-copy-number plasmid it did not.
  • (4) Use of the improved operative technique contributed to reduction in number of complications.
  • (5) Nutritionally rehabilitated animals had similar numbers of nucleoli to control rats.
  • (6) Simplicity, high capacity, low cost and label stability, combined with relatively high clinical sensitivity make the method suitable for cost effective screening of large numbers of samples.
  • (7) The hemodynamic efficiency of the drive was tested in a number of in vivo experiments.
  • (8) The final number of fibers--140,000-165,000--is reached by the sixth week after birth.
  • (9) On removal of selective pressure, the His+ phenotype was lost more readily than the Ura+ Trp+ markers, with a corresponding decrease in plasmid copy number.
  • (10) This article describes a number of syndromes affecting the nail unit.
  • (11) At the time, with a regular supply of British immigrants arriving in large numbers in Australia, Biggs was able to blend in well as "Terry Cook", a carpenter, so well in fact that his wife, Charmian, was able to join him with his three sons.
  • (12) Since 1979 there has been an increase of 17,122 in the number of beds available in nursing homes.
  • (13) Other haematological parameters remained normal, with the exception of the absolute number of lymphocytes, which initially fell sharply but soon returned to, and even exceeded, control levels.
  • (14) All the twins were born in years 1973-1987, the total number was 2,226 boys and 2,302 girls.
  • (15) The number of neoplastic cells in each cell suspension was determined by cytologic criteria.
  • (16) aeruginosa and Enterococci) were significantly reduced in number during the manipulation (Fig.
  • (17) Because of the small number of patients reported in the world literature and lack of controlled studies, the treatment of small cell carcinoma of the larynx remains controversial; this retrospective analysis suggests that combination chemotherapy plus radiation offers the best chance for cure.
  • (18) Further, at the end of treatment fewer patients had depressive symptoms and the total daily number of hours of wellbeing and normal movement increased.
  • (19) The country has no offshore wind farms, though a number of projects are in the research phase to determine their profitability.
  • (20) Despite a 10-year deadline to have the same number of ethnic minority officers in the ranks as in the populations they serve, the target was missed and police are thousands of officers short.