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Topic: Logarithmic scale


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In the News (Fri 24 Nov 17)

  
  Epic Disasters - Richter Scale
The scale is derived from astronomy's stellar magnitude scale.
The number is derived by calculating the logarithm of the combined horizontal amplitude of the largest displacement from zero on a seismogram.
The energy of the earthquake is proportional to the square root of the cube of the amplitude.
www.epicdisasters.com /richterscale.php   (230 words)

  
  Logarithmic scale - Wikipedia, the free encyclopedia
A logarithmic scale is a scale of measurement that uses the logarithm of a physical quantity instead of the quantity itself.
Logarithmic scales are either defined for ratios of the underlying quantity, or one has to agree to measure the quantity in fixed units.
A logarithmic scale is also a graphic scale on one or both sides of a graph where a number x is printed at a distance c·log(x) from the point marked with the number 1.
en.wikipedia.org /wiki/Logarithmic_scale   (421 words)

  
 Encyclopedia: Logarithmic scale
Logarithms to various bases: is to base e, is to base 10, and is to base 1.
Logarithmic units are generic mathematical units in which we can express any quantities (physical or mathematical) that are defined as being proportional to values of a logarithm function.
Logarithms Logarithmic units are generic mathematical units in which we can express any quantities (physical or mathematical) that are defined as being proportional to values of a logarithm function.
www.nationmaster.com /encyclopedia/Logarithmic-scale   (1645 words)

  
 Logarithmic timeline - Wikipedia, the free encyclopedia
A logarithmic timeline is a timeline laid out according to a logarithmic scale.
Logarithmic timelines have also been used in future studies to justify the idea of a technological singularity.
A logarithmic scale enables events throughout time to be presented accurately, but enables more events to be included closer to one end.
en.wikipedia.org /wiki/Logarithmic_timeline   (488 words)

  
 Logarithmic Scale   (Site not responding. Last check: 2007-10-09)
A logarithmic scale uses the logarithm of a physical quantity instead of the quantity itself.
Presentation of data on a logarithmic scale can be helpful when the data covers a large range of values; the logarithm reduces this to a more manageable range.
The most common form of logarithmic scale (which DPlot also uses) uses base 10 logarithms.
www.dplot.com /logarithmic.htm   (79 words)

  
 Logarithmic units - Wikipedia, the free encyclopedia
Logarithmic units are abstract mathematical units that can be used to express any quantities (physical or mathematical) that are defined on a logarithmic scale, that is, as being proportional to the value of a logarithm function.
In this article, a given logarithmic unit will be denoted using the notation [log n], where n is a positive real number, and [log ] here denotes the indefinite logarithm function Log().
The motivation behind the concept of logarithmic units is that defining a quantity on a logarithmic scale in terms of a logarithm to a specific base amounts to making a (totally arbitrary) choice of a unit of measurement for that quantity, one that corresponds to the specific (and equally arbitrary) logarithm base that was selected.
en.wikipedia.org /wiki/Logarithmic_units   (218 words)

  
 Logarithmic scale - Encyclopedia.WorldSearch   (Site not responding. Last check: 2007-10-09)
A logarithmic scale is a scale of measurement that gives the logarithm of a physical quantity instead of the quantity itself.
The base of the logarithm also has to be specified.
A History of the Logarithmic Slide Rule and Allied Instruments and on the History of Gunter's Scale and the Slide Rule During the Seventeenth Century
encyclopedia.worldsearch.com /logarithmic_scale.htm   (392 words)

  
 COM Log Graph / Chart
Logarithmic graphs are line graphs with one or both axes in a logarithmic scale.
The Y axis is a logarithmic scale, the X axis a linear (arithmetic) scale.
On a logarithmic scale, the actual distance representing a given percentage increase or decrease is the same anywhere along the scale, so a continuous percentage change shows as a straight line rather than a curve.
www.graphicsserver.com /com_products/GraphChoiceLog.aspx   (266 words)

  
 Logarithmic scale   (Site not responding. Last check: 2007-10-09)
stellar magnitude scale for brightness of star s In the first five examples small values (or ratios) of the underlying quantity will correspond to negative values of the logarithmic measure.
The Logarithmic Time Perception Hypothesis Logtime is the psychochronometric hypothesis that our age is our basis for estimating long time intervals, resulting in a perceived logarithmic shrinkage of our years as we grow older.
N Scale Collector Model railroading organization devoted to the promotion and collecting of N scale model trains.
www.serebella.com /encyclopedia/article-Logarithmic_scale.html   (819 words)

  
 MK IV.A Detail
The divided gradicule of the theodolite along with the scales provided on the slide rule allow for the use of the tail method for estimate the height of the balloon when strong winds are present (elevation angles of 40 degrees of less).
The upper part of the stock carries two pairs of sine and cosine scales, one pair extending from 0.5 ° to 90° and the other from 10° to 90°; the degrees from 0° to 20° on each cosine scale are marked on a small arc instead of being crowded together as in an ordinary slide-rule.
A logarithmic scale, twice repeated, and identical with part of the slider scales, is also provided on the upper part of the stock; this permits of the rule being used in a limited way as an ordinary slide-rule.
www.pilotballoon.com /slide1.htm   (729 words)

  
 [No title]
The most common other scale is the logarithmic scale in which the numbers are spaced according to their logarithms.
A logarithmic scale allows us to plot a large range of values without losing the distinction between small values - if our values range over two or more orders of magnitude, but we want to be able to tell 10 from 30 as well as 100 from 300 2.
With a logarithmic scale, numbers are spaced according to the percentage change between values (the change from 20 to 30 is a 50% increase - so is the change from 150 to 225 - the spacing will be the same with a logarithmic scale) 3.
www.saintmarys.edu /~cpeltier/MATH115docs/Logscalepages.doc   (801 words)

  
 Lead calculator - Patent 4329570
In accordance with the principal embodiments of the invention, cooperating logarithmic scales with indicia corresponding to the parameters target speed, range, projectile speed and lead are horizontally or circularly displayed on a horizontal or circular slide rule type device, the particular indicia and scale units being those most commonly known for the particular parameter.
The arrangements of logarithmic scales and markers which permit successive multiplication and division to be carried out on a slide type calculation are well known in the calculator art and all such arrangements are deemed to be within the scope of the present invention.
The projectile speed scale 212 is disposed along the second circumferential edge 224 of the slide member 206 and the reference scale 216 is disposed on the fixed member at such a distance from axle 214 that the second circumferential edge 224 may be rotated immediately inside the reference scale 216.
www.freepatentsonline.com /4329570.html   (4568 words)

  
 Logarithmic 3-Band Color Encoding: ...
Logarithmic multiband color encoding permits direct comparisons of maps, such as maps of different elements in the same field of view or maps of the same element in different areas, because the color scale is identical for all maps.
Logarithmic multiband color encoding is a pseudocolor scale in which three distinct color bands are defined to correspond to major, minor, and trace constituent levels, with a lower threshold of 0.001 used for the trace band since zero must be excluded from a logarithmic scale.
Logarithmic multiband color encoding achieves a strong and easily recognizable color contrast between the classifications, and since no color repeats within the scale, there is never an ambiguity as to which class is depicted at any pixel.
www.nist.gov /lispix/doc/references/log-3-band/3-band-paper.html   (5108 words)

  
 Logarithmic scale   (Site not responding. Last check: 2007-10-09)
Logarithmic scales give the logarithm of a quantity insteadof the quantity itself.
Some of our senses operate in a logarithmic fashion (doubling the input strength adds a constantto the subjective signal strength), which makes logarithmic scales for these input quantities especially appropriate.
Logarithmic scales are either defined for ratios of the underlying quantity, or one has to agree to measure thequantity in fixed units.
www.therfcc.org /logarithmic-scale-103251.html   (252 words)

  
 Introduction to Logarithmic Scales   (Site not responding. Last check: 2007-10-09)
The purpose of this series of web pages is to introduce you to the concept of logarithmic scales, and in particular to the decibel scales commonly used in acoustics to measure loudness.
The purpose of the following paragraphs is to explain the difference between a linear and a logarithmic scale and to indicate conceptually why we use logarithmic scales as the measurement method in stimuli/sensation situations such as quantifying loudness.
The key point to understand from the previous example is that the difference between a logarithmic and a linear scale rests on whether the natural steps increase in an additive fashion (linear scale) or in a multiplicative fashion (logarithmic scale).
physics.mtsu.edu /~wmr/log_1.htm   (974 words)

  
 Speech & Hearing - Frequently Asked Questions 1-2
A logarithmic scale is different in that the ratio of successive intervals is not equal to one.
The decibel scale is a logarithmic ratio scale: we start with a ratio of pressures, then take the logarithm and finally multiply by 20.
Thus the zero point on the decibel scale is simply the point at which the measured amplitude is equal to the reference amplitude.
www.speechandhearing.net /faq/faq1-2.htm   (680 words)

  
 logarithmic scale   (Site not responding. Last check: 2007-10-09)
Logarithmic scales give the logarithm of a quantity instead of the quantity itself.
In particular our sense of "audition", i.e., hearing, is naturally designed to perceive equal ratios of frequencies as equal differences in pitch.
In the last two examples large values (or ratios) of the underlying quantity will correspond to negative values of the logarithmic measure, because of reversal of the scale by a minus sign in the definition.
www.yourencyclopedia.net /logarithmic_scale.html   (317 words)

  
 Decirisk Meaning
A problem with creating a scale of risk is that many risks are very small; risks of the order of one in a million or less being very common.
The best known logarithmic scale is the decibel scale, but logarithmic scales are also used in photography and elsewhere.
The trouble with logarithmic scales is that people tend to interpret them linearly.
www.historyoftheuniverse.com /dr_meaning.html   (578 words)

  
 IQ Chart - Real-Time Technical Stock Charts   (Site not responding. Last check: 2007-10-09)
Linear Scale: A scale where distances on the vertical axis represent equal net changes.
Logarithmic Scale: A scale where distances on the vertical axis represent equal percentage changes.
The linear scale in the weekly chart of Microsoft (above) makes the price advances over the past five years look rounded, with nearly all of the gain occurring in the last two years.
www.iqc.com /education/patterns_linear.asp   (171 words)

  
 COMPANY REFS :: Company Refs Help - Logarithmic scale or 'log scale'   (Site not responding. Last check: 2007-10-09)
Thus a graph with a scale ranging from 240p down to 60p is comparable with another ranging from 720p down to 180p.
Company REFS therefore employs Scale 4 as a standard log scale in around 70% of the graphs whilst, for the remainder, the log scale is compressed to accommodate the full range of movement required.
When Scale 4 is insufficient to accommodate the extremes of movement, it is multiplied to the next appropriate higher value (e.g.
companyrefs.com /Refshelp/helpfileLogarithmic_scale_or_log_scale.htm   (463 words)

  
 SEMI-LOG PLOTS
Scaling the axes on the semi-log paper is exactly the same as what you are used to doing for the horizontal quadrille ruled scale.
Scaling the log axis is almost as easy, maybe more so, since part of the numbers that will be used are already printed on the log axis.
On the scales on each of these cycles the appropriate number of zeroes must be placed to encompass the data to be graphed.
www.umd.umich.edu /casl/natsci/slc/slconline/SEMI   (3848 words)

  
 Scales
Two notes which are adjacent in a scale are said to be a "semitone" apart.
In a 12-note logarithmic scale, the ratio is a constant and must be the twelfth root of two (= 1.05946).
The logarithmic 7-note scale in this demonstration is the "major" scale of Western music comprised of notes generated by multiplying the starting frequency by 1.05946 raised to the 0, 2, 4, 5, 7, 9, 11, and 12 (to complete the octave) powers.
webphysics.davidson.edu /faculty/dmb/Scales/Scales.html   (216 words)

  
 Logarithmic scale   (Site not responding. Last check: 2007-10-09)
Logarithmic scales give the logarithm of a quantity instead of the itself.
Some of our senses operate a logarithmic fashion (doubling the input strength a constant to the subjective signal strength) makes logarithmic scales for these input quantities appropriate.
Logarithmic scales are either defined for ratios of the underlying quantity or one to agree to measure the quantity in units.
www.freeglossary.com /Log_scale   (545 words)

  
 Student Worksheet: Reading Graphs with a Logarithmic Scale
The x-axis is a logarithmic scale, which means that each number is ten times greater than the one before it.
Logarithmic scales do NOT display equal intervals, as do non-logarithmic scales.
You will need to keep this spacing of a logarithmic scale in mind as you complete data tables in two other lessons: "Graphs and the Composition of the Earth’s Thermosphere" and "Graphs and the Composition of the Earth’s Ionosphere".
www.windows.ucar.edu /tour/link=/teacher_resources/graphs/worksheet_logarithmic_scale.html   (400 words)

  
 Scale
The price scale is set by an instrument's trading units, and the bar plots linearly along the scale.
Plotting prices on a logarithmic scale allows the presentation of a uniform picture of performance and permits the easy comparison of instruments that differ widely in dollar amount.
Logarithmic scaling is most appropriate when comparing long term charts that cover a wide range of price levels.
www.aspenres.com /Documents/AspenGraphics4.0/Chart_Properties_Scale.htm   (591 words)

  
 Logtime: Logarithmic Time Perception With Aging
The logarithmic scale of time perception presented by this model may be only a rough approximation of actual human perception, but is probably a much closer one than the linear scale usually assumed.
The simple premise of Logtime, from which the logarithmic relationship can be derived (see Appendix), is that the human mind judges the length of a long period of time, such as a year, by comparing it with current age.
A consequence of the logarithmic function is that it is the ratio of the years defining an interval of time that we use to judge the duration of that interval, not the absolute magnitudes of those years.
ourworld.compuserve.com /homepages/jmkenney   (5086 words)

  
 Tools of the Trade - Arithmetic vs. Logarithmic Line Charts
A logarithmic or semi-logarithmic line chart has a logarithmic scale on the y (vertical) axis and an arithmetic scale on the x (horizontal) axis.
In this chart, the female rates for the younger age groups seem somewhat higher compared to the male rates and the percentage differences in the rates for the older age groups are not as evident as in the arithmetic line chart.
In other words, the logarithmic chart points to a possible significant difference between the rates at the younger age groups, whereas in the arithmetic line chart the difference at the younger age groups is lost in the plotting of the higher absolute values for the older age groups.
www.health.state.pa.us /hpa/stats/techassist/arithlog.htm   (923 words)

  
 Armagh Astropark: Hypercube   (Site not responding. Last check: 2007-10-09)
Logarithmic scales allow a large range of numbers to be compressed into a much smaller one.
Mathematicians express this on a logarithmic scale, which when plotted as a graph is called a "leaning curve".
Just like space, time is often best represented on a logarithmic scale: we know a lot about different decades in the present century, but (to us) one decade in the Jurassic era would be much the same as any other.
star.arm.ac.uk /astropark/hypercube.htm   (1021 words)

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