What's the difference between infinitesimal and quantity?

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.

Quantity


Definition:

  • (v. t.) To modify or qualify with respect to quantity; to fix or express the quantity of; to rate.
  • (n.) The attribute of being so much, and not more or less; the property of being measurable, or capable of increase and decrease, multiplication and division; greatness; and more concretely, that which answers the question "How much?"; measure in regard to bulk or amount; determinate or comparative dimensions; measure; amount; bulk; extent; size.
  • (n.) The extent or extension of a general conception, that is, the number of species or individuals to which it may be applied; also, its content or comprehension, that is, the number of its constituent qualities, attributes, or relations.
  • (n.) The measure of a syllable; that which determines the time in which it is pronounced; as, the long or short quantity of a vowel or syllable.
  • (n.) The relative duration of a tone.
  • (n.) That which can be increased, diminished, or measured; especially (Math.), anything to which mathematical processes are applicable.
  • (n.) A determinate or estimated amount; a sum or bulk; a certain portion or part; sometimes, a considerable amount; a large portion, bulk, or sum; as, a medicine taken in quantities, that is, in large quantities.

Example Sentences:

  • (1) 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.
  • (2) The amino acid pools in Chinese hamster lung V79 cells were measured as a function of time during hyperthermic exposure at 40.5 degrees and 45.0 degrees C. Sixteen of the 20 protein amino acids were present in sufficient quantity to measure accurately.
  • (3) The influence of calcium ions on the electrophoretic properties of phospholipid stabilized emulsions containing various quantities of the sodium salts of oleic acid (SO), phosphatidic acid (SPA), phosphatidylinositol (SPI), and phosphatidylserine (SPS) was examined.
  • (4) The quantity of social ties, the quality of relationships as modified by type of intimate, and the baseline level of symptoms measured five years earlier were significant predictors of psychosomatic symptoms among this sample of women.
  • (5) It is an intriguing moment: the new culture secretary, Sajid Javid, who was brought in to replace Maria Miller last month, is something of an unknown quantity.
  • (6) Lipoprotein electrophoresis on agarose gel has been modified to allow estimation of the absolute quantity of each fraction.
  • (7) Throughout the entire cultivation cytidyl derivatives occurred in trace quantities.
  • (8) However, in this last group, a significant negative relationship between the quantity of acetaldehyde bound to microsomal proteins and the monooxygenase-catalyzed transformation of butanol by liver microsomes was demonstrated (r = -0.79, P less than 0.01).
  • (9) With an increased quantity o blood per taking by blood bactericidia a decreased contamination rate is to be expected.
  • (10) The relative quantities of specific HLA-A and -B antigens on lymphocytes were also noted to be the same as those on platelets.
  • (11) Based on the economics of most countries in Africa, their Health Budgets can afford mostly the non-opioid and strong opioid drugs in more or less adequate quantities.
  • (12) On the other hand, the injection of minute quantities of endotoxin into PbAc(2)-sensitized rats invariably resulted in disseminated intravascular coagulation, apparently via a complete activation of the intrinsic pathway.
  • (13) The department of dietetics at a large teaching hospital has substantially reduced its food and labor costs through use of computerized systems that ensure efficient inventory management, recipe standardization, ingredient control, quantity and quality control, and identification of productive man-hours and appropriate staffing levels.
  • (14) The quantity of immunoreactive insulin found in the urine is believed to reflect the level of free insulin in the serum.
  • (15) At first Kupffer cells and liver fibroblasts were taken on the equal quantity.
  • (16) As monitored by in vivo near-infrared spectroscopy (NIR), no improvement was noted after 50% O2 whereas 50% O2-5% CO2 resulted in increased perfusion, an oxidation of cytochrome a,a3, an increase in oxyhemoglobin, and reduced quantities of de-oxyhemoglobin (p less than 0.01) despite a further increase in intracranial pressure.
  • (17) Measurable quantities of temefos were found in the snails within 1 day after the first treatment with a 2% granular formulation but 3 weeks elapsed before uptake occurred following treatment with a temefos emulsion.
  • (18) By contrast, SAP-35, the major surfactant-associated glycoprotein of molecular weight = 35,000, and other higher molecular weight proteins were not detected in significant quantities in the CLSE or surfactant-TA replacement surfactants, either by highly sensitive silver stain analysis or by immunoblot using monospecific antisera generated against bovine SAP-35.
  • (19) Healthbars such as Nakd fit this category and promise to deliver one of your five a day, based on the quantity of freeze-dried date paste used.
  • (20) The fact that it is still used is regrettable yet unavoidable at present, but the average quantity is three times less than the mercury released into the atmosphere by burning the extra coal need to power equivalent incandescent bulbs.