What's the difference between asymptote and curve?

Asymptote


Definition:

  • (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.

Curve


Definition:

  • (a.) Bent without angles; crooked; curved; as, a curve line; a curve surface.
  • (a.) A bending without angles; that which is bent; a flexure; as, a curve in a railway or canal.
  • (a.) A line described according to some low, and having no finite portion of it a straight line.
  • (a.) To bend; to crook; as, to curve a line; to curve a pipe; to cause to swerve from a straight course; as, to curve a ball in pitching it.
  • (v. i.) To bend or turn gradually from a given direction; as, the road curves to the right.

Example Sentences:

  • (1) As a consequence, similar response curves were obtained for urine specimens containing morphine or barbiturates.
  • (2) When the data correlating DHT with protein synthesis using both labelling techniques were combined, the curves were parallel and a strong correlation was noted between DHT and protein synthesis over a wide range of values (P less than 0.001).
  • (3) These observations were confirmed by the killing curves in pooled serum obtained at peak and trough levels.
  • (4) However, there was no statistically significant difference in mean areas under the LH and FSH curves in the GnRH-treated groups.
  • (5) Regression curves indicate that although all three types of pulmonary edema can be characterized by slightly different slopes, the differences are statistically insignificant.
  • (6) In the cannulated group, significant decreases (P less than 0.05) in the area under the elimination curve (AUC), the volume of distribution at steady-state (Vdss) and the mean residence time (MRT) were observed.
  • (7) The reproducibility of the killing-curve method suggests that at least two different concentrations should be used and that a decrease in viable counts below 2 log10 after 24 hours does not exclude a synergistic action.
  • (8) The curve of mitoses peaked at the same time as that of TK activity but was only 68% as extensive.
  • (9) The effect of these drugs was estimated from the cell growth curve and DNA histogram determined by flow cytometry.
  • (10) However, there was not a relationship between the contraction curve of the gallbladder and the bile flow into the duodenum.
  • (11) The total "dose" to the tissue of individual metabolites was determined by the area under the curve (AUC).
  • (12) However, those studies used partial maximal expiratory flow volume (PMEFV) curves to assess lung function.
  • (13) Blood gas variables produced from a computed in vivo oxygen dissociation curve, PaeO2, P95 and C(a-x)O2, were introduced in the University Hospital of Wales in 1986.
  • (14) They were more irregularly curved and consisted of various substances.
  • (15) The duration of action correlated with the elimination half-life of the drug (r = 0.87; P less than 0.003) and area under the plasma concentration curve (r = 0.72; P less than 0.03).
  • (16) The slope of the thermal inactivation curve of enterotoxin A in beef bouillon (initial pH 6.2) was found to be approximately 27.8 C (50 F) with three different concentrations of toxin.
  • (17) A relatively new method of estimating that date and constructing a corresponding Kaplan Meier curve is presented.
  • (18) To know the relation between the signal intensity and sodium concentration, sodium concentration--signal intensity curve was obtained using phantoms with various sodium concentrations (0.05-1.0%).
  • (19) In testing the contribution of the long, curved stem to the torsional stability of uncemented prostheses by comparing it with other stems, the long, curved stem was the most stable, followed by a shorter straight stem, and a short, proximally curved stem.
  • (20) After using the OK method to obtain a distance curve for height, we introduce a new method (VADK) to derive velocity and acceleration curves from the fitted distance curve.

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