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.

Picard-Reproducing Kernel Hilbert Space Method for Solving Generalized Singular Nonlinear Lane-Emden Type Equations

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).

Using GPS multipath for snow depth sensing--first experience with data from permanent stations in Slovakia

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.

Sinc-Chebyshev collocation method for a class of fractional diffusion-wave equations

(5,7) The BI was calculated according to Ridley's logarithmic scale from 0 to 6.

Bacterial load in the nose and its correlation to the immune response in leprosy patients

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).

Uncovering the secrets of grinding: the secret to achieving optimal extraction from coffee-grounds is precise and consistent particles size distribution

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 volume and value of information

The left figure employs a logarithmic scale and the right figure employs a linear scale.

LLD for LEDs

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).

A perspective on frugality in growing economies: triggering a virtuous cycle between consumption propensity and growth

Users can rotate and zoom 3D charts, change fonts and colors, view data on a logarithmic scale and make many other customizations as needed.

Synopsys' LightTools Delivers Illumination Analysis

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.

Outcome measurement and the use of Rasch analysis, a statistics-free introduction