What's the difference between infinitesimal and ultrasmall?
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.
Ultrasmall
Definition:
Example Sentences:
(1) Another group of 36 persons was patch-tested with ultrasmall glass globes with a diameter of 10 to 15 microns.
(2) The potential of ultrasmall gold particles for the light microscopical detection of leukocyte cell surface differentiation antigens was investigated.
(3) Results obtained from these experiments show that these sensors are suitable for glucose monitoring in ultrasmall environments.
(4) Naflon-coated ultrasmall platinum ring electrodes have been implanted in the giant dopamine neuron of the pond snail Planorbis corneus, and the oxygen concentration inside these single neurons has been estimated.
(5) X-ray microanalysis of the content of Na, K, Cl, Ca, P, S and Mg has been made in ultrasmall samples of haemolymph of the mussel Mytilus edulis living in habitats with lowered salinity.
(6) High-resolution microscopic magnetic resonance (MR) images of rodent lymph nodes were directly correlated with sections obtained for histologic study to determine the microstructural anatomy of lymph nodes seen at MR imaging and to evaluate signal intensity changes induced by a novel intravenous lymphotropic MR contrast agent (ultrasmall superparamagnetic iron oxide [USPIO]).
(7) An arabinogalactan-coated ultrasmall superparamagnetic iron oxide (AG-USPIO) preparation specific for asialoglycoprotein (ASG) receptors on hepatocytes was used as a magnetic resonance (MR) imaging contrast agent in the evaluation of a spectrum of benign liver diseases in animal models.
(8) An ultrasmall superparamagnetic iron oxide (USPIO) preparation was evaluated as a potential intravenous contrast agent for lymph nodes.
(9) Capillary electrophoresis with electrochemical detection in 2- and 5-micron capillaries has been developed to study ultrasmall biological environments.
(10) Finally, the ability to use ultrasmall-volume samples makes capillary electrophoresis ideal for the development of separations-based sensors for the analysis of microenvironments.
(11) An ultrasmall superparamagnetic iron oxide (USPIO) preparation was developed that is small enough to migrate across the capillary wall, a prerequisite in the design of targetable particulate pharmaceuticals.
(12) Ultrasmall superparamagnetic (mean size, 12 nm) particles of iron oxide (USPIOs) were targeted to ASG receptors by coating particles with arabinogalactan (AG).
(13) Ultrasmall glucose sensors have been constructed by using platinum-deposited carbon ring microelectrodes with glucose oxidase.
(14) Different nutrient media for additional cultivation and isolation of revertants from ultrasmall mycobacteria were compared.
(15) High dilutions of the ultrasmall gold probe could be used to detect all antigen expressing cells in the samples.
(16) Eighty seven patients with sarcoidosis of the respiratory organs were subjected to complex microbiological investigation and ultrasmall forms of tubercle bacilli were detected in BALF of 67 (77 per cent) of them.
(17) Previously we have reported that ultrasmall superparamagnetic iron oxide (USPIO) particles migrate across capillary endothelium, a prerequisite for the design of particulate pharmaceuticals for MR receptor imaging.
(18) An ultrasmall superparamagnetic iron oxide (USPIO) preparation was evaluated as a potential intravenous contrast agent for magnetic resonance (MR) imaging of bone marrow.
(19) The Dorozhkova medium provided reversion of the ultrasmall mycobacterial L-forms in 12 per cent of the cases.
(20) The contrast agents were (a) USPIO (ultrasmall superparamagnetic iron oxide), which has a long blood half-life and was developed for MR imaging of lymph nodes and bone marrow; (b) AG (arabinogalactan)-USPIO, an asialoglycoprotein receptor--directed iron oxide with hepatocyte uptake; and (c) AMI-25, a conventional reticuloendothelial iron oxide agent.