Logarithmic scale


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Logarithmic Scale

A scale where the same percentage of change between two data points (with respect to two other data points) may represent different, raw amounts of change. For example, a logarithmic scale of a stock may show a graph where a change from $4 per share to $8 per share is the same distance as a change from $40 per share to $80.

Logarithmic scale.

On a logarithmic scale or graph, comparable percentage changes in the value of an investment, index, or average appear to be similar. However, the actual underlying change in value may be significantly different.

For example, a stock whose price increases during the year from $25 to $50 a share has the same percentage change as a stock whose price increases from $100 to $200 a share.

On a logarithmic scale, it's irrelevant that the dollar value of the second stock is four times the value of the first.

Similarly, the percentage change in the Dow Jones Industrial Average (DJIA) as it rose from 1,000 to 2,000 is comparable to the percentage change when it moved from 4,000 to 8,000.

References in periodicals archive ?
Absolute errors (in logarithmic scale) of approximations, for Example 1 with n = 5, m=10 iterations and N = 10, 25, 50,100.
The SNR values given in RINEX files expressing the ratio of signal power to power of noise are in logarithmic scale in dB (Gurtner, 1994, Misra and Enge, 2001).
We present the error as a function of the shifted Chebyshev polynomial degree n in Figure 5, where a logarithmic scale is now used for the temporal-error-axis.
(5,7) The BI was calculated according to Ridley's logarithmic scale from 0 to 6.
the curing energy (in a logarithmic scale) were plotted for all the light source-shade combinations.
If we draw the frequency of particles in relation to size over a logarithmic scale we obtain the characteristic frequency curve of the Particles Size Distribution (PSD).
But there is clearly a diminishing marginal utility to the explosion of information, and the suggestion here is that as a rough approximation it should be valued on a logarithmic scale.
The left figure employs a logarithmic scale and the right figure employs a linear scale.
By looking at the data from all the lists to date and assuming that performance increases would continue as before, the editors extrapolated the performance of future systems using linear regression on the logarithmic scale. They fit exponential growth to these three levels of performance, the sum of all 500 systems, the number one system and the entry level system.
where Y: the size of investment per capita in logarithmic scale (ln i); X: the level of GDP per capita in logarithmic scale (ln v); a: velocity of diffusion of investment per capita; and [bar.Y] : carrying capacity of investment per capita (also in logarithmic scale).
Users can rotate and zoom 3D charts, change fonts and colors, view data on a logarithmic scale and make many other customizations as needed.
Using data from a group of people completing the measure, it is possible to estimate this level of item difficulty (the item parameter) and place this along an interval logarithmic scale. The statistic that is needed to work this out during the Rasch analysis is the total score each item achieves.