What's the difference between infinitesimal and value?

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.

Value


Definition:

  • (n.) The property or aggregate properties of a thing by which it is rendered useful or desirable, or the degree of such property or sum of properties; worth; excellence; utility; importance.
  • (n.) Worth estimated by any standard of purchasing power, especially by the market price, or the amount of money agreed upon as an equivalent to the utility and cost of anything.
  • (n.) Precise signification; import; as, the value of a word; the value of a legal instrument
  • (n.) Esteem; regard.
  • (n.) The relative length or duration of a tone or note, answering to quantity in prosody; thus, a quarter note [/] has the value of two eighth notes [/].
  • (n.) In an artistical composition, the character of any one part in its relation to other parts and to the whole; -- often used in the plural; as, the values are well given, or well maintained.
  • (n.) Valor.
  • (v. t.) To estimate the value, or worth, of; to rate at a certain price; to appraise; to reckon with respect to number, power, importance, etc.
  • (v. t.) To rate highly; to have in high esteem; to hold in respect and estimation; to appreciate; to prize; as, to value one for his works or his virtues.
  • (v. t.) To raise to estimation; to cause to have value, either real or apparent; to enhance in value.
  • (v. t.) To be worth; to be equal to in value.

Example Sentences:

  • (1) Furthermore, it had early diagnostic (seven days) as well as prognostic value, as revealed by response to therapy and decrease in COA titer.
  • (2) Steady-state values of cell, glucose, and cellulase concentration oxygen tension, and outlet gas oxygen partial pressure were recorded.
  • (3) Although the mean values for all hemodynamic variables between the two placebo periods were minimally changed, the differences in individual patients were striking.
  • (4) 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.
  • (5) The angiographic appearances are highly characteristic and equal in value to a histological diagnosis.
  • (6) Since MIRD Committee has not published "S" values for Tl-200 and Tl-202, these have been calculated by a computer code and are reported.
  • (7) It was found that linear extrapolations of log k' versus ET(30) plots to the polarity of unmodified aqueous mobile phase gave a more reliable value of log k'w than linear regressions of log k' versus volume percent.
  • (8) Virtually every developed country has some form of property tax, so the idea that valuing residential property is uniquely difficult, or that it would be widely evaded, is nonsense.
  • (9) The goals in control patients were to attain normal values for all hemodynamic measurements.
  • (10) gamma-Aminobutyric acid (GABA) and glutamate release from the treated side was higher than the control value during the first 2-3 h, a result indicating an important role of glial cells in the inactivation of released transmitter.
  • (11) The statistical T value calculated for the LP-TAE group showed that the administration of LP, the tumor size, intrahepatic metastasis, portal vein infiltration, and serum total bilirubin and alpha-fetoprotein levels significantly (P < 0.01) affected the patients' survival.
  • (12) Among the groups investigated, the subjects with gastric tumors presented the greatest values.
  • (13) By 24 hr, rough endoplasmic reticulum in thecal cells increased from 4.2 to 7% of cell volume, while the amount in granulosa cells increased from less than 3.5% to more than 10%; the quantity remained relatively constant in the theca but declined to prestimulation values in the granulosa layer.
  • (14) Needle acupuncture did, however, increase the pain threshold compared with the initial value (alpha = 0.1%).
  • (15) When the data correlating DHT with protein synthesis using both labelling techniques were combined, the curves were parallel and a strong correlation was noted between DHT and protein synthesis over a wide range of values (P less than 0.001).
  • (16) Schneiderlin, valued at an improbable £27m, and the currently injured Jay Rodriguez are wanted by their former manager Mauricio Pochettino at Spurs, but the chairman Ralph Krueger has apparently called a halt to any more outgoings, saying: “They are part of the core that we have decided to keep at Southampton.” He added: “Jay Rodriguez and Morgan Schneiderlin are not for sale and they will be a part of our club as we enter the new season.” The new manager Ronald Koeman has begun rebuilding by bringing in Dusan Tadic and Graziano Pellè from the Dutch league and Krueger said: “We will have players coming in, we will make transfers to strengthen the squad.
  • (17) Minimal levels were evident 16 weeks after irradiation; Hct then increased, but remained below preirradiation values.
  • (18) The norepinephrine values remained constant on the three days.
  • (19) The mean and median values in the nondiabetic group are higher than in previously published reports.
  • (20) However, this predictive value disappeared when five baseline parameters found to predict the outcome (neopterin, beta 2-microglobulin, p24 antigen, anti-p18 antibody and immunoglobulin A) were adjusted.