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Dimensionless quantity - Wikipedia, the free encyclopedia
In dimensional analysis, a dimensionless quantity is a quantity without a physical unit and is thus a pure number. Such a number is typically defined as a product or ratio of quantities that have un...
en.wikipedia.org/wiki/Dimensionless_quantity |
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There are also a lot of dimensionless things that are used as units, but (as far as I know) don't have a named unit to go with them. These include ...
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Dimensionless physical constant - Wikipedia, the free encyclopedia
In physics, a dimensionless physical constant (sometimes fundamental physical constant ) is a universal physical constant. Because its numerical value is the same under all possible systems of uni...
en.wikipedia.org/wiki/Dimensionless_physical_constant |
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On the other hand, certain constants don't depend on the units we use - these are called "dimensionless" constants. Some of them are numbers like pi, e, and the golden ratio - purely mathematical constants, which anyone with a computer can calculate to as many decimal places as they want.
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the mathematiciansn.are distinguishing between different number series and counts, those that reflect specific aspects of spacetime, and those that do not. ... The dimensionless numbers refer to constant number series, similar to what the ancients employed in their reckoning systems. Only the ancients reversed the order...
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A selection of articles related to dimensionless ... A Wisdom Archive on dimensionless ... dimensionless: Encyclopedia II - Slope - Geometry...
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A selection of articles related to Dimensionless number ... A Wisdom Archive on Dimensionless number ... Dimensionless number: Encyclopedia II - Similitude model - An example...
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Here is a convenient input format for Mathematica ... Here is a first derivative term ... Now we do the substitutions for the derivatives as described above.
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Making a differential equation dimensionless ... I would hope that as a professional courtesy that this notice remain visible to other users. There is no charge for copying and dissemination ; Version: 11/06/00; ... Dimensionless equations...
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For example: "one out of every 10 apples I gather is rotten." -- the rotten-to-gathered ratio is (1 apple) / (10 apples) = 0.1, which is a dimensionless quantity. Another more typical example in physics and engineering is the measure of plane angles with the unit of "radian". ... ; There are infinitely many dimensionless numbers.
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