(n.) A line which approaches nearer to some curve than assignable distance, but, though infinitely extended, would never meet it. Asymptotes may be straight lines or curves. A rectilinear asymptote may be conceived as a tangent to the curve at an infinite distance.
Example Sentences:
(1) Temporary threshold shifts increased for the first eight hours of exposure and then were asymptotic.
(2) To evaluate threshold estimates under these conditions, computer simulations of experiments with small numbers of trials were performed by using psychometric functions based on a model of two types of noise: stimulus-related noise (affecting slope) and extraneous noise (affecting upper asymptote).
(3) The proposed fit asymptotically agrees with Mie's set of equations for the low and the high collection efficiency regions.
(4) Experiment 2 showed that although equivalent performance was obtained from extensive conditioning with a weak shock or limited conditioning with strong shock, only extensive conditioning with weak shock resulted in retarded acquisition of an association between that same CS and a footshock level perceived as midway between the two initial training shock intensities as implied by asymptotic performance in Experiment 1.
(5) This finding is contradictory to the generally held view that antagonist-induced opioid receptor up-regulation in brain increases asymptotically, leveling off after a relatively brief treatment period.
(6) One parameter of this equation represents the estimated response rate asymptote.
(7) Accurate to first-order in the reciprocal of the radial distance from the axis of symmetry, the asymptotic solution obtained here can be employed for future comparison with measured experimental distributions.
(8) The asymptotic kinetics of lipoamide oxidoreductions switch between the ping pong and ordered mechanisms by varying pH of the reactions.
(9) The fitting of a curve indicated an asymptote of 0.721.
(10) Thresholds fell asymptotically to a Weber fraction around 0.06 over a period of approx.
(11) This program utilizes both exact and asymptotic methods to provide point estimates, P values, and confidence intervals.
(12) The statistical properties of the estimated asymptotic multiplication rate, stage, or age stable structures and mean generation time are inspected by both a theoretical approach and a simulation procedure.
(13) For biological populations the precise asymptotic behavior of the corresponding dynamic system is probably less important than the question of extinction and survival of species.
(14) In this paper, asymptotic and iterative methods are developed for the solution of such equations.
(15) The ratio of the extravascular lung water measured in this way to that measured gravimetrically also increased, to reach an asymptotic proportion of close to 100%.
(16) After continuous sinusoidal training for 4 h, VOR gain reached an asymptotic level 5% away from perfect suppression in the low-gain training, but 19% away from the actual performance in the high-gain paradigm.
(17) When a function is expressed as an infinite series of spherical harmonics the convergence can be accelerated by subtracting its asymptotic expansion and adding it in analytically closed form.
(18) Confidence limits for low-dose extrapolation are based on the asymptotic distribution of the likelihood ratio.
(19) For stimulation-bound feeding, increases in intensity raise asymptotic ingestion rate, but do not always appreciably change the location of the curve along the frequency axis.
(20) We conclude that the asymptotic behavior of whole body VO2 at maximal WRs is a direct reflection of the VO2 profile at the exercising legs.
Infinity
Definition:
(n.) Unlimited extent of time, space, or quantity; eternity; boundlessness; immensity.
(n.) Unlimited capacity, energy, excellence, or knowledge; as, the infinity of God and his perfections.
(n.) Endless or indefinite number; great multitude; as an infinity of beauties.
(n.) A quantity greater than any assignable quantity of the same kind.
(n.) That part of a line, or of a plane, or of space, which is infinitely distant. In modern geometry, parallel lines or planes are sometimes treated as lines or planes meeting at infinity.
Example Sentences:
(1) Multiple doses of cholestyramine significantly altered HCTZ kinetics, including reductions in Ae(0-24) by 35% (P less than 0.02), AUC(0-infinity) by 32% (P less than 0.01), and Cmax by 31% (P less than 0.01).
(2) The Infinity towel comes in colours more vibrant than one might expect from an eco-friendly product, including coral, green, blue and violet.
(3) In the interim, Gough had also played a devious old friend of the Doctor – by now, Peter Davison – in the 1983 story Arc of Infinity.
(4) The rate constants and steady-state values for m were in agreement with the Hodgkin-Huxley equations except that the experimental relationship of m(infinity) (3) against V was shifted 10-15 mV in the negative direction.
(5) 115 mM-TEA reduced the amplitude of [I(m)(0) - I(m)(infinity)] by about 85%.3.
(6) Some spoke of access to on-site rooftop infinity swimming pools and top of the range company cars.
(7) The final expression is mathematically accurate to 1% and is valid for image radii ranging from 20 to 500 mum and for exposure times from 30 ms to infinity.
(8) The data from the other 15 subjects showed small differences, which did not achieve statistical significance between the formulations with respect to Cmax, Tpeak and AUC0-infinity.
(9) We introduce the following functions of alpha m and beta m. (sequence in text) where VH, td and tau p stand for holding potential, constant delay time of 10 microseconds, and transit time of the transition velocity of alpha m (or beta m) from its initial value alpha om (or beta om) to its final steady value alpha infinity m (or beta infinity m), respectively.
(10) A second technician was arranged and claimed that BT often sells Infinity 2 for lines that can’t support the guaranteed speed.
(11) In adult myocytes, when EGTA (10 or 20 mM) or bis(o-aminophenoxy)ethane-N,N,N',N'-tetraacetic acid (BAPTA, 10 mM) were included in the pipette solution, contractions were rapidly abolished, while a small (4 mV) shift of f infinity to more positive potentials was seen.
(12) By contrast, BT signed up 400,000 subscribers to its fibre product, Infinity, with 95,000 added in the last quarter.
(13) In the time-dependent transfer of a lipid from a donor to an acceptor vesicle population a(t) is the amount transferred to the acceptor vesicles at time t, a infinity is the equilibrium transfer value and a0 is the value at zero time.
(14) In the last quarter, 131,000 signed up for the BT Infinity fibre-to-the-cabinet product, which offers speeds of up to 76mbps and is being priced on a par with the fastest copper lines, meaning BT now has more than half a million fibre customers.
(15) We’re focusing on that right now with Infinity War while we’re breaking into those movies, [to see] which characters we can pull to the forefront who potentially haven’t had their own ‘A’ story arc to this point.
(16) After pulsed excitation with a polarized light, the fluorescence anisotropy ratio of DPH in membranes rapidly decreased and gave a final value (r infinity).
(17) The area under the plasma concentration-time curve from t = 0 to infinity (AUC infinity) of S(-)-mepivacaine was almost double that of R(+)-mepivacaine.
(18) From the results of intravenous injections one can deduce linear ibuprofen pharmacokinetics within the considered dosage range, with corresponding AUC0-infinity values of 3786 micrograms * min ml-1 and 7260 micrograms * min ml-1 for the 200 mg and 400 mg doses, respectively.
(19) The voltage dependence of the use-dependent block produced by cocaine isomers did not overlap with the activation of Na+ channels but did overlap with the steady-state inactivation (h infinity), indicating that cocaine can bind directly to the inactivated state of Na+ channels before channel opening.
(20) Following administration of 1000 mg MPA the areas under the plasma concentration-time curves (AUC 0-infinity) were calculated to (mean and S.E.