(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.
Matrix
Definition:
(n.) The womb.
(n.) Hence, that which gives form or origin to anything
(n.) The cavity in which anything is formed, and which gives it shape; a die; a mold, as for the face of a type.
(n.) The earthy or stony substance in which metallic ores or crystallized minerals are found; the gangue.
(n.) The five simple colors, black, white, blue, red, and yellow, of which all the rest are composed.
(n.) The lifeless portion of tissue, either animal or vegetable, situated between the cells; the intercellular substance.
(n.) A rectangular arrangement of symbols in rows and columns. The symbols may express quantities or operations.
Example Sentences:
(1) Within the outflow tract wall, the labelled cells were enmeshed by strands of alcian blue-stained extracellular matrix.
(2) If ascorbic acid was omitted from the culture medium, the extensive new connective tissue matrix was not produced.
(3) These studies led to the following conclusions: (a) all the prominent NHP which remain bound to DNA are also present in somewhat similar proportions in the saline-EDTA, Tris, and 0.35 M NaCl washes of nuclei; (b) a protein comigrating with actin is prominent in the first saline-EDTA wash of nuclei, but present as only a minor band in the subsequent washes and on washed chromatin; (c) the presence of nuclear matrix proteins in all the nuclear washes and cytosol indicates that these proteins are distributed throughout the cell; (d) a histone-binding protein (J2) analogous to the HMG1 protein of K. V. Shooter, G.H.
(4) Discrimination errors were used to generate a matrix of interletter and interpattern similarities.
(5) The fibrous matrix and cartilage formed within the nonunion site transformed to osteoid and bone with increased vascularity.
(6) A complex linkage between the cytoskeleton and the extracellular matrix is illustrated both in the cord forming Sertoli and granulosa cells, and in the adjacent mesenchymal cells.
(7) Thus, our results indicate that calbindin-D28k is a useful marker for the projection system from the matrix compartment and that its expression is modified in patients with progressive supranuclear palsy and striatal degeneration.
(8) Normal cultured human epidermal melanocytes and melanoma cells derived from three different malignant melanomas were examined for synthesis of extracellular matrix components before and after treatment for one day with interferon-gamma, tumor necrosis factor-alpha, or both.
(9) To exclude potential interactions with components of the extracellular matrix which contains binding sites for PAI-1, ligand binding to HepG2 cells in suspension was assessed.
(10) This was followed by the appearance of microfibrils of various sizes and other components of the extracellular matrix.
(11) The first observable change before the acrosome reaction was a partial decondensation of the acrosomal matrix.
(12) In contrast, boundary layer diffusion is operative in the release from the matrixes prepared by compression of physical mixtures.
(13) Human Caco-2 enterocytes were cultured on matrix proteins (collagen I, laminin, fibronectin) with growth factors (epidermal growth factor [EGF] and transforming growth factor-beta 1 [TGF-beta 1]) and the tyrosine kinase and prostaglandin inhibitors genistein and indomethacin.
(14) As an extension of the previous study which indicated that mesoglea is a primitive basement membrane which has retained some characteristics of interstitial extracellular matrix, the present study was undertaken to analyze the role of mesoglea components during head regeneration in Hydra vulgaris.
(15) Its features are consistent with observed structural dimensions and the molecular periodicities related to transcription, replication and matrix attachment domains.
(16) A significant proportion of the soluble protein of the organic matrix of mollusk shells is composed of a repeating sequence of aspartic acid separated by either glycine or serine.
(17) The increased release of alkaline phosphatase from the particulate matrix by lysophosphatidylcholine was confirmed by disc electrophoresis.
(18) The cytoplasmic matrix was labelled only 30 min after injection.
(19) Type beta transforming growth factor (TGF beta) was shown to regulate the production of several extracellular matrix proteins.
(20) They strongly suggest that the ADP-carrier comes to the close neighbourhood of the ATP synthetase on the matrix side of the inner membrane.