Approximation error: Difference between revisions

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{{broader|Approximation}}

[[File:E^x with linear approximation.png|thumb|Graph of <math>f(x) = e^x</math> (blue) with its linear approximation <math>P_1(x) = 1 + x</math> (red) at a = 0. The approximation error is the gap between the curves, and it increases for x values further from 0.]]

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googlerecaptchaipsubnetsomething on google. It does not happen on WiFi, only when I’m on the cricket LTE network. Anyone have any ideas on how to troubleshoot this?

googlerecaptchaipsubnetsomething on google. It does not happen on WiFi, only when I’m on the cricket LTE network. Anyone have any ideas on how to troubleshoot this?

googlerecaptchaipsubnetsomething on google. It does not happen on WiFi, only when I’m on the cricket LTE network. Anyone have any ideas on how to troubleshoot this?

googlerecaptchaipsubnetsomething on google. It does not happen on WiFi, only when I’m on the cricket LTE network. Anyone have any ideas on how to troubleshoot this?

googlerecaptchaipsubnetsomething on google. It does not happen on WiFi, only when I’m on the cricket LTE network. Anyone have any ideas on how to troubleshoot this?

googlerecaptchaipsubnetsomething on google. It does not happen on WiFi, only when I’m on the cricket LTE network. Anyone have any ideas on how to troubleshoot this?

googlerecaptchaipsubnetsomething on google. It does not happen on WiFi, only when I’m on the cricket LTE network. Anyone have any ideas on how to troubleshoot this?

googlerecaptchaipsubnetsomething on google. It does not happen on WiFi, only when I’m on the cricket LTE network. Anyone have any ideas on how to troubleshoot this?

googlerecaptchaipsubnet@inproceedings{40671,

title = {HyperLogLog in Practice: Algorithmic Engineering of a State of The Art Cardinality Estimation Algorithm},

author = {Stefan Heule and Marc Nunkesser and Alex Hall},

year = {2013},

booktitle = {Proceedings of the EDBT 2013 Conference},

address = {Genoa, Italy}

}

@inproceedings{40671,

title = {HyperLogLog in Practice: Algorithmic Engineering of a State of The Art Cardinality Estimation Algorithm},

author = {Stefan Heule and Marc Nunkesser and Alex Hall},

year = {2013},

booktitle = {Proceedings of the EDBT 2013 Conference},

address = {Genoa, Italy}

}

@inproceedings{40671,

title = {HyperLogLog in Practice: Algorithmic Engineering of a State of The Art Cardinality Estimation Algorithm},

author = {Stefan Heule and Marc Nunkesser and Alex Hall},

year = {2013},

booktitle = {Proceedings of the EDBT 2013 Conference},

address = {Genoa, Italy}

}

@inproceedings{40671,

title = {HyperLogLog in Practice: Algorithmic Engineering of a State of The Art Cardinality Estimation Algorithm},

author = {Stefan Heule and Marc Nunkesser and Alex Hall},

year = {2013},

booktitle = {Proceedings of the EDBT 2013 Conference},

address = {Genoa, Italy}

}

@inproceedings{40671,

title = {HyperLogLog in Practice: Algorithmic Engineering of a State of The Art Cardinality Estimation Algorithm},

author = {Stefan Heule and Marc Nunkesser and Alex Hall},

year = {2013},

booktitle = {Proceedings of the EDBT 2013 Conference},

address = {Genoa, Italy}

}

@inproceedings{40671,

title = {HyperLogLog in Practice: Algorithmic Engineering of a State of The Art Cardinality Estimation Algorithm},

author = {Stefan Heule and Marc Nunkesser and Alex Hall},

year = {2013},

booktitle = {Proceedings of the EDBT 2013 Conference},

address = {Genoa, Italy}

}

Www.bitcoin.comWww.bitcoin.comWww.bitcoin.comVaromoneyGoogle PayPalGoogle PayPalGoogle PayPalGoogle PayPalGoogle PayPalGoogle PayPalGoogle PayPalCricket wireless partner rewardsCricket wireless partner rewardsCricket wireless partner rewardsCricket wireless partner rewardsCricket wireless partner rewardsCricket wireless partner rewardsCricket wireless partner rewardsCricket wireless partner rewardsCricket wireless partner rewardsCricket wireless partner rewardsCricket wireless partner rewardsCricket wireless partner rewardsCricket wireless partner rewardsCricket wireless partner rewardsCricket wireless partner rewardsCricket wireless partner rewardsCricket wireless partner rewardsCricket wireless partner rewardsCricket wireless partner rewardsCricket wireless partner rewardsCricket wireless partner rewardssomething on google. It does not happen on WiFi, only when I’m on the cricket LTE network. Anyone have any ideas on how to troubleshoot this?

googlerecaptchaipsubnetsomething on google. It does not happen on WiFi, only when I’m on the cricket LTE network. Anyone have any ideas on how to troubleshoot this?

googlerecaptchaipsubnetsomething on google. It does not happen on WiFi, only when I’m on the cricket LTE network. Anyone have any ideas on how to troubleshoot this?

googlerecaptchaipsubnetsomething on google. It does not happen on WiFi, only when I’m on the cricket LTE network. Anyone have any ideas on how to troubleshoot this?

googlerecaptchaipsubnet@inproceedings{40671,

title = {HyperLogLog in Practice: Algorithmic Engineering of a State of The Art Cardinality Estimation Algorithm},

author = {Stefan Heule and Marc Nunkesser and Alex Hall},

year = {2013},

booktitle = {Proceedings of the EDBT 2013 Conference},

address = {Genoa, Italy}

}

@inproceedings{40671,

title = {HyperLogLog in Practice: Algorithmic Engineering of a State of The Art Cardinality Estimation Algorithm},

author = {Stefan Heule and Marc Nunkesser and Alex Hall},

year = {2013},

booktitle = {Proceedings of the EDBT 2013 Conference},

address = {Genoa, Italy}

}

@inproceedings{40671,

title = {HyperLogLog in Practice: Algorithmic Engineering of a State of The Art Cardinality Estimation Algorithm},

author = {Stefan Heule and Marc Nunkesser and Alex Hall},

year = {2013},

booktitle = {Proceedings of the EDBT 2013 Conference},

address = {Genoa, Italy}

}

@inproceedings{40671,

title = {HyperLogLog in Practice: Algorithmic Engineering of a State of The Art Cardinality Estimation Algorithm},

author = {Stefan Heule and Marc Nunkesser and Alex Hall},

year = {2013},

booktitle = {Proceedings of the EDBT 2013 Conference},

address = {Genoa, Italy}

}

@inproceedings{40671,

title = {HyperLogLog in Practice: Algorithmic Engineering of a State of The Art Cardinality Estimation Algorithm},

author = {Stefan Heule and Marc Nunkesser and Alex Hall},

year = {2013},

booktitle = {Proceedings of the EDBT 2013 Conference},

address = {Genoa, Italy}

}

@inproceedings{40671,

title = {HyperLogLog in Practice: Algorithmic Engineering of a State of The Art Cardinality Estimation Algorithm},

author = {Stefan Heule and Marc Nunkesser and Alex Hall},

year = {2013},

booktitle = {Proceedings of the EDBT 2013 Conference},

address = {Genoa, Italy}

}

@inproceedings{40671,

title = {HyperLogLog in Practice: Algorithmic Engineering of a State of The Art Cardinality Estimation Algorithm},

author = {Stefan Heule and Marc Nunkesser and Alex Hall},

year = {2013},

booktitle = {Proceedings of the EDBT 2013 Conference},

address = {Genoa, Italy}

}

@inproceedings{40671,

title = {HyperLogLog in Practice: Algorithmic Engineering of a State of The Art Cardinality Estimation Algorithm},

author = {Stefan Heule and Marc Nunkesser and Alex Hall},

year = {2013},

booktitle = {Proceedings of the EDBT 2013 Conference},

address = {Genoa, Italy}

}

approximation.png|thumb|Graph of <math>f(x) = e^x</math> (blue) with its linear approximation <math>P_1(x) = 1 + x</math> (red) at a = 0. The approximation error is the gap between the curves, and it increases for x values further from 0.]]

The '''approximation error''' in some data is the discrepancy between an exact value and some approximation to it. An approximation error can occur because:

#the [[measurement]] of the [[data]] is not precise due to the instruments. (e.g., the accurate reading of a piece of paper is 4.5&nbsp;cm but since the ruler does not use decimals, you round it to 5&nbsp;cm.) or