How Accurate Should my Computer be?

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Temperature compensation is not for the variations in water density. It's because the sensors, or more importantly the electronics reading them, can be significantly non-linear with temperature. When I get a chance, I'll see if I can dig something out specifically about miniature semiconductor pressure transducers, but it's not uncommon for a lot of sensors (pressure, temperature, strain, etc.) to see fourth or sixth-order equations (i.e. polynomials that include terms up to x^6) before compensation, even for just a few digits accuracy.
 
Temperature compensation is not for the variations in water density. It's because the sensors, or more importantly the electronics reading them, can be significantly non-linear with temperature. When I get a chance, I'll see if I can dig something out specifically about miniature semiconductor pressure transducers, but it's not uncommon for a lot of sensors (pressure, temperature, strain, etc.) to see fourth or sixth-order equations (i.e. polynomials that include terms up to x^6) before compensation, even for just a few digits accuracy.
What he said.

By how much? 0.01% maybe??
It's been a long time since I looked at that question, my memory from the early days (e.g., EDGE) is on the order of 10%.
 
https://www.shearwater.com/products/teric/

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