# Finding charactersitic time in decaying dataset

**URL:** <https://discourse.julialang.org/t/finding-charactersitic-time-in-decaying-dataset/88849>\
**Category:** General Usage\
**Tags:** interpolations, plots\
**Created:** [October 17, 2022, 1:28pm UTC](https://discourse.julialang.org/t/finding-charactersitic-time-in-decaying-dataset/88849 "2022-10-17T13:28:57Z")\
**Posts on this page:** 1\
**Page:** 1

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**Author:** ![greivin](https://avatars.discourse-cdn.com/v4/letter/g/a6a055/32.png) [@greivin](https://discourse.julialang.org/u/greivin)\
**Post date:** [October 17, 2022, 1:28pm UTC](https://discourse.julialang.org/t/finding-charactersitic-time-in-decaying-dataset/88849/1 "2022-10-17T13:28:57Z")

</div>

Hello!

I have a dataset of N points with the x-axis in a log scale, representing time and the y-axis a correlation. The correlation decays and I want to interpolate, somehow, and find the value of t for which C has decay to C/N (N being any number \>1, normally is “e” Euler’s constant, as it is the usual definition of the characteristic time-scale) i.e. interpolate the data and find the pre-image (t\_c) of a given value C(t\_c) = C(0)/N.