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scales not only because of the potentially large range of values but also because human perception of these phenomena is itself logarithmic. For example, doubling the amount of sound energy will not create a sound twice as loud...maybe just 150% louder...I forget the specific numbers. Some of the other phenomena, such as earthquakes, might behave similarly -- doubling the input doesn't necessarily double the output. I think it would be interesting and valuable to explain that using a logarithmic scale isn't just a matter of numerical convenience but can be directly linked to the matter at hand.
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here define the concept quite clearly enough. And actually, what it leads to is simply wrong: Boltzmann's constant is not what relates ln(W) (depending on Euler's number e) to something "more fundamental", without a particular choice of unit. No, it relates ln(W), which in itself is quite as fundamental as one would like to get, to something much more actual, namely the entropy, which you can use to construct steam engines.
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example. In engineering base ten is used far more often than base e. dB, dBm, dBmV, dBuV, dBmA, dBuA, etc. Dominate mil standards and industry standards when you are talking about cross-talk, radiated susceptibility, conducted susceptibility, radiated emissions, conducted emissions, shielding effectiveness, signal integrity, etc. --Ervin Seferi (Math, Physics major and Test
Engineer Profession)
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The lead paragraph notes that "A logarithmic scale is a nonlinear scale used when there is a large range of quantities." Even though my fundamentals of psychology classes are part of the distant past I still remember that some quantities -- such as sound and brightness -- are measured on logarithmic
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The section seems very much like how the original author personally understood this concept. It does not look like how a general interested reader would go about understanding that. Note also that there is not a single reference here. So I would strongly propose to delete that section. Can anybody
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Not True Iain if you tell that to an engineer you will most likely get laughed at. Entire engineering department depends on a base ten Log-log scale. And a Log-Log scale or semi-log can be of any base the principal is the same. I guess it just needs to be a more general explanation with a base ten
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I believe I have made the appropiate changes to the last part of the article. I haven't altered the actual content, only the writing style. I have taken out references like I and you and replaced it with adequate substitutes, I would hope the writer could check to make sure I haven't done anything
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from 2005, merged into this article in 2018. I am a physicist, Boltzmann's definition of entropy is something I am very familiar with, but I do not think that the content would contribute to anybody's understanding. I think the first paragraph (two sentences) under the heading "Logarithmic units"
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The logarithmic interpolation is very difficult to follow, both in mathematical reasoning and paragraph spacing format. Also, it only covers interpolation based on physical measurements of a graph, not coordinates, and even then only includes a worked example without a general formula or simple
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Example: What is the value that lies halfway between the 1 and 10 decades on a logarithmic axis? Since it is the halfway point that is of interest, the quotient of steps 1 and 2 is 0.5. The nearest decade line with lower value is 1, so the halfway point's value is (10^0.5)*1.
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should make it clear that the logarithm is to base e and not to base 10. I haven't corrected this because I may have misunderstood the concept. If you know more about logarithms than I please edit the text to make explicit references to the bases of the logarithms.
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A logarithmic scale is a scale of measurement where the labels are placed at distances proportional to the differences between their logarithms. Since the logarithm of 1 is zero, this implies that the distance between 1 and x is proportional to the logarithm of x.
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I've added a major section on
Logarithmic and Semi-Logarithmic Plots and Equations of Lines. The discussion and examples are from text I've developed and used a great deal in my own work and that I think further ellucidates graphing on logarithmic scales.
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A simple example is a chart whose vertical axis increments are labeled 1, 10, 100, 1000, instead of 1, 2, 3, 4. Each unit increase on the logarithmic scale thus represents an exponential increase in the underlying quantity for the given base (10, in this
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It would be great if someone could make this page more accessible to non-mathematically oriented persons by explaining in layman's terms how to calculate log points and adding a table with the correspondence between log points and percentages.
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I just cleaned up the last part of the article further in the interest of readability, spelling and grammar. I've rearranged a few sentences to be ore concise, and adjusted the maths and layout so that it's all easier to follow.
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The example given for accurate determination of values on a logarithmic axis ie, (10^0.5)*10 would be more clear if it used a number whose nearest decade line with lower value is not 10. For instance, if the example were
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section and the 1 dimensional graphs don't make any sense to me. I'm writing new text to discuss how different functions appear when plotted on the different logarithmic scale graphs:
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Also, I don't like this paragraph, I think it is confusing. What size are the increments, it doesn't mention that they are equidistant, and what exactly is a "unit increase"? :
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Can both of the statements in bold above be true? Since I don't know what applying "the logarithm of the value" actually means, I can't say for certain. To be clear:
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If this article were more elegantly written I think it would be much easier to understand. Yes, it is a difficult subject but the writing here makes it more so. SG
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Please use colors that can be distinguished. The red and greens that were chosen are hard to see. Use a bright lime color or yellow instead dark green please.
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if its possible i think a blank logarithmic and half-logarithmic pages would have been nice add to the bottom of the article, can be very handy to some.
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In the first part of this section there appears to be some confusion of the bases of logarithms. For example, I believe that this text:
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When you have finished reviewing my changes, you may follow the instructions on the template below to fix any issues with the URLs.
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I just reviewed the lede and it looks OK to me re accuracy. Perhaps could be clearer by including a simple and familiar example (
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A logarithmic scale is a scale of measurement using the logarithm of a physical quantity instead of the quantity itself.
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Does repeatedly applying the logarithm of a value plus a constant equate to multiplying the said value by a constant?
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to delete these "External links modified" talk page sections if they want to de-clutter talk pages, but see the
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Why can't I understand anything? Maybe the words used should be simplified to everyday language instead....
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there is no hyphen. Sometimes there's a hyphen and in this article there is a space. Which is correct?
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on 1 February 2018. For the contribution history and old versions of the redirected page, please see
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If you found an error with any archives or the URLs themselves, you can fix them with
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This section is in content practically unchanged from the very first version of
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there would be no confusing of the exponent base and the next lower decade line
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Logarithmic scale#Logarithmic and semi-logarithmic plots and equations of lines
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for additional information. I made the following changes:
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make an argument why it would be good to preserve it?
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Log plots are extremely common in finance as constant
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value at the previous mark multiplied by a constant
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