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and give a general scale for the rate of growth for this function. Curiously, note that the function is not centered on the zero axis, but seems to be closer to the upper curve. Although the graph appears to be noisy, notice that it is less noisy than the corresponding graph for smaller
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730:== Divisor summatory function== This graph illustrates the ] with the leading asymptotic terms subtracted. That is, it is a graph of :<math>D(x)-x\log x - x(2\gamma-1)</math> where <math>D(x)</math> is the divisor summatory
622:– You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
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This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.
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with the leading asymptotic terms subtracted. That is, it is a graph of
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Click on a date/time to view the file as it appeared at that time.
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This licensing tag was added to this file as part of the GFDL
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Transferred from en.wikipedia: see original upload log above
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Transferred from en.wikipedia: see original upload log above
79:(SVG file, nominally 600 × 480 pixels, file size: 35 KB)
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Add a one-line explanation of what this file represents
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Creative
Commons Attribution-ShareAlike 3.0 Unported
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Commons is a freely licensed media file repository.
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690:. All following user names refer to en.wikipedia.
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655:Creative Commons Attribution-Share Alike 3.0
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215:{\displaystyle D(x)-x\log x-x(2\gamma -1)}
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310:{\displaystyle D(x)=\sum _{n\leq x}d(n)}
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374:{\displaystyle \gamma =0.577\ldots }
962:) // Editing SVG source code using
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254:is the divisor summatory function
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149:divisor summatory function
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495:Created by Linas Vepstas
383:Euler-Mascheroni constant
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411:{\displaystyle x=10^{7}}
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341:{\displaystyle d(n)}
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247:{\displaystyle D(x)}
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936:10:30, 3 April 2016
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1031:File usage
945:600 × 480
921:Dimensions
717:w:en:Linas
699:Dimensions
497:User:Linas
27:File usage
918:Thumbnail
915:Date/Time
873:inception
696:Date/Time
586:license.
507:Licensing
142:English:
1071:Metadata
743:Captions
725:contribs
705:Comment
609:to remix
603:to share
352:. Here,
37:Metadata
1014:(35 KB)
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960:COM:GVP
947:(35 KB)
932:current
927:Comment
767:depicts
747:English
381:is the
348:is the
125:Summary
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1100:Height
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492:Author
482:Source
225:where
1092:Width
953:SiBr4
366:0.577
924:User
721:talk
702:User
688:here
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542:GFDL
474:Date
319:and
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360:γ
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Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
