(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.
Magnitude
Definition:
(n.) Extent of dimensions; size; -- applied to things that have length, breath, and thickness.
(n.) That which has one or more of the three dimensions, length, breadth, and thickness.
(n.) Anything of which greater or less can be predicated, as time, weight, force, and the like.
(n.) Greatness; grandeur.
(n.) Greatness, in reference to influence or effect; importance; as, an affair of magnitude.
Example Sentences:
(1) Multiple overlapping thin 3D slab acquisition is presented as a magnitude contrast (time of flight) technique which combines advantages from multiple thin slice 2D and direct 3D volume acquisitions to obtain high-resolution cross-sectional images of vessel detail.
(2) Thus, our study confirmed that male subjects with a history of testicular maldescent have an increased risk for testis cancer, although the magnitude of this risk was lower than suggested previously.
(3) In addition, despite the fact that the differences constitutes an information bias, the bias occurs in the same direction and magnitude in all the various subgroups and thus is nondifferential.
(4) The Pan American Health Organization, the Americas arm of the World Health Organization, estimated the deaths from Tuesday's magnitude 7 quake at between 50,000 and 100,000, but said that was a "huge guess".
(5) Problems associated with school-based clinics include vehement opposition to sex education, financing, and the sheer magnitude of the adolescents' health needs.
(6) The kinetic parameters for the hydrolysis of type I, II and III collagens have been measured and are similar in magnitude to those for the tissue collagenases.
(7) The second order rate constant for the association of Meumb-glycosides follows a pattern consistent with the magnitude of the activation energies involved therin.
(8) 3) The magnitude of K+ release is the ratio of two opposing mechanisms, a passive efflux and an active reuptake.
(9) When histamine (5 micrograms) was injected into three different levels of the ventricular system, the magnitude and duration of the resulting increases in plasma epinephrine and glucose were in the following rank order: the third ventricle greater than aqueduct much greater than fourth ventricle.
(10) The junctional currents were already constant 1 ms after step changes in the junctional voltage; this was three orders of magnitude faster than the other known examples of voltage-controlled gap junctions between embryonic cells.
(11) The magnitude and pattern of the acute-phase protein response was then compared with the local inflammatory reaction, assessed histologically, and with changes in the circulating concentration of interleukin-6, which is an important mediator of the acute-phase protein response.
(12) This lack of symmetry in shape and magnitude may be due to non-sphericity of the skull over the temporal region or to variations in conductivities of intervening tissues.
(13) The magnitude of erythropoietin-induced [Cai] increase, however, was insufficient to open Ca(2+)-activated K+ channels.
(14) The relationship existing between the magnitude of the stimulus and that of the response has been carefully studied for all the parameters.
(15) ODC attained maximum activity in controls on day 11, increasing by more than an order of magnitude above the activity found on day 9.
(16) It is suggested that this human model of unloading could serve to simulate effects of microgravity on skeletal muscle mass and function because reductions in muscle mass and strength were of similar magnitude to those produced by bed rest.
(17) The infusion of sodium acetoacetate resulted in a 10- to 15-fold increase in circulating concentrations of ketone bodies, which were similar in magnitude in normal subjects and diabetic patients.
(18) Ecological risk assessments are used by the US Environmental Protection Agency (US EPA) and other governmental agencies to assist in determining the probability and magnitude of deleterious effects of hazardous chemicals on plants and animals.
(19) The magnitude of the consequent inflammatory response was assessed by counting numbers and types of leukocytes in the bronchoalveolar lavage fluid.
(20) The program can produce solutions identical to those derived by a model-based expert system for the same domain, but with an increase of two orders of magnitude in efficiency.