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So the counting measure has only one null set, which is the empty set. That is, N μ = { ∅ } . {\displaystyle {\mathcal {N}}_{\mu }=\{\varnothing \}.} So by the second definition, any other measure ν {\displaystyle \nu } is equivalent to the counting measure if and only if it also has just the empty set as the only ν {\displaystyle \nu ...
{{Math templates | state = collapsed}} will show the template collapsed, i.e. hidden apart from its title bar. {{ Math templates | state = autocollapse }} will show the template autocollapsed, i.e. if there is another collapsible item on the page (a navbox, sidebar , or table with the collapsible attribute ), it is hidden apart from its title ...
Excel maintains 15 figures in its numbers, but they are not always accurate; mathematically, the bottom line should be the same as the top line, in 'fp-math' the step '1 + 1/9000' leads to a rounding up as the first bit of the 14 bit tail '10111000110010' of the mantissa falling off the table when adding 1 is a '1', this up-rounding is not undone when subtracting the 1 again, since there is no ...
a measure in measure theory; micro-, an SI prefix denoting 10 −6 (one millionth) Micrometre or micron (retired in 1967 as a standalone symbol, replaced by "μm" using the standard SI meaning) the coefficient of friction in physics; the service rate in queueing theory; the dynamic viscosity in physics; magnetic permeability in electromagnetics ...
Two metrics and on X are strongly or bilipschitz equivalent or uniformly equivalent if and only if there exist positive constants and such that, for every ,, (,) (,) (,).In contrast to the sufficient condition for topological equivalence listed above, strong equivalence requires that there is a single set of constants that holds for every pair of points in , rather than potentially different ...
[[Category:Mathematics templates]] to the <includeonly> section at the bottom of that page. Otherwise, add <noinclude>[[Category:Mathematics templates]]</noinclude> to the end of the template code, making sure it starts on the same line as the code's last character.
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Conversion of units is the conversion of the unit of measurement in which a quantity is expressed, typically through a multiplicative conversion factor that changes the unit without changing the quantity. This is also often loosely taken to include replacement of a quantity with a corresponding quantity that describes the same physical property.
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