Definition of logarithmic in US English:



  • 1Relating to or expressed in terms of logarithms.

    • ‘As we were walking, I tried to tune out as Trent and Tristan got into a lively conversation about logarithmic functions.’
    • ‘The logarithmic link function is a popular choice to use with this error distribution.’
    • ‘The obtained numbers do not vary much, due to the logarithmic dependence on the segment sizes.’
    • ‘During the early logarithmic phase of increase in log-likelihood, the genetic algorithm method of determining branch lengths seems to work quite well.’
    • ‘Because LOD scores are logarithmic, reducing the significance threshold by half greatly increases the power of a study.’
    • ‘All cultures were harvested in late logarithmic phase.’
    • ‘In a double logarithmic plot, the behavior is the following.’
    • ‘In these procedures, except for age, distributions of the biological measurements were normalized by logarithmic transformation.’
    • ‘Data were analyzed using Generalized Linear Models with a logarithmic link function.’
    • ‘To control for differences in the age distribution, we analysed the logarithmic transformed variables using analysis of covariance, in which we included age as a continuous covariate.’
    • ‘For each concentration, the dynamic surface tension data are simply fitted by a logarithmic function.’
    • ‘Correlations between variables were investigated by two-tailed Pearson correlation analysis of natural logarithmic transformed data.’
    • ‘Gap fraction is computed by logarithmic averaging of the transmittances of subgroups of the data.’
    • ‘A logarithmic transformation of the percentage of translocations and breaks was therefore performed, which resulted in a considerable straightening of the response curve.’
    • ‘The recent calculations reviewed in the article go beyond the valence approximation and attempt to improve the approach to continuum by a logarithmic factor relative to previous simulations.’
    • ‘Values of percentage of maximum conductance were transformed using a natural logarithmic transformation to meet normality assumptions.’
    • ‘Different numbers of PCR cycles were performed to determine the logarithmic phase of the reaction.’
    • ‘Before we get carried away in praise of ourselves, note that we gain in breadth what we lose in precision, because we register the world's stimuli in logarithmic rather than linear increments.’
    • ‘We applied logarithmic transformation to the data when needed to reduce peak intensity ranges.’
    • ‘Each culture should have been in logarithmic growth phase when loaded into the microplate.’
    1. 1.1 (of a scale) constructed so that successive points along an axis, or graduations which are an equal distance apart, represent values which are in an equal ratio.
      • ‘In a statistical sense, therefore, the multiplicative model signifies independent additive effects on a logarithmic scale.’
      • ‘The change in amino acid concentration (S / + S) is transformed to logarithmic scale for convenience of presentation.’
      • ‘Heterogeneity in the risk difference and the odds ratio on a logarithmic scale was not significant in the 10 trials that provided data on mortality.’
      • ‘Recall that decibels are on a logarithmic scale, so this 4dB increase represents more than a twofold increase in the sound level of the overall fan noise output of the test machine we used.’
      • ‘The first is that the effect is exaggerated by plotting wealth on a logarithmic scale.’
      • ‘An analog calculator designed along the principle of a slide rule, it utilizes logarithmic and inverse logarithmic scales to quickly provide you with the correct firing solution.’
      • ‘Although the scatter in information loss as a function of these simple distance element transformations appears significant on a logarithmic scale, it is much less significant on a linear scale.’
      • ‘P is given on a logarithmic scale to illustrate the range of values.’
      • ‘Another measure, the geometric mean cost, can be derived by transforming the costs onto a logarithmic scale, calculating the average, and transforming this back.’
      • ‘A complete description of our method, including graphs on logarithmic scales, will appear later this year in the new statistical journal Biostatistics.’
      • ‘The rate constants are transformed to a logarithmic scale to ensure an even distribution over the large search space.’
      • ‘The logarithmic scale of time is used to condense results into a small space.’
      • ‘The vertical axis shows decreases from the neutral value, 1 - E, on a logarithmic scale.’
      • ‘To normalize the 2 distributions, we performed the analysis with data transformed on a logarithmic scale.’
      • ‘The horizontal axis is drawn using a logarithmic scale.’
      • ‘Equal intervals on a logarithmic scale correspond to equal proportions on an arithmetic scale.’
      • ‘The scale is logarithmic so a solution with a pH value of 3 has 10 times as much hydrogen ion activity as one whose pH value is 4.’
      • ‘Under the assumptions that genes act multiplicatively (i.e., there is no epistasis on a logarithmic scale), the log of this ratio should decline linearly over time.’
      • ‘The logarithmic scale of the fresh mass and the linear scale of the dry mass together show how the initially exponential growth changes gradually into linear.’
    2. 1.2 (of a curve) forming a straight line when plotted on a logarithmic scale; exponential.
      • ‘The set of points for this scenario was best fitted by a logarithmic curve.’
      • ‘The vertical velocity profile for such channels approximates to a logarithmic curve.’
      • ‘An accretional growth system that builds the special logarithmic curve of the coiled conch requires a suite of parameters, which are maintained in a very narrow zone of tolerance.’
      • ‘This pattern suggests a logarithmic growth curve with progressively diminishing advantage in performance with age.’
      • ‘Cotes was particularly pleased with his rectification of the logarithmic curve as he makes clear in a letter to his friend William Jones in 1712.’
      • ‘Craig published several more papers on the logarithmic curve, the curve of quickest descent and quadrature of figures.’
      • ‘Indeed, the specimen itself appears to have been deformed such that it has a slight logarithmic curvature when viewed from the left lateral edge.’
      • ‘To estimate the length of the period of cell division, the increasing patterns of cell number of the mesocarp in all cultivars were fitted by logarithmic curves.’
      • ‘The regression model fitting a logarithmic curve was significant.’
      • ‘A logarithmic curve was fitted to the sampling curve in order to determine whether our standard sample size of 500 was sufficient to pass the inflection point of the diversity curve.’
      • ‘In the simplest case, skill can be considered like logarithmic curve.’