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differentiation [Tue May 11 23:41:46 2010] Alexander |
differentiation [Thu Jan 14 17:14:01 2021] (current) Alexander |
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====== Differentiation ===== | ====== Differentiation ===== | ||
- | Open Table or Figure or Plot with initial data and use '' | + | Open Table or Figure or Plot with initial data and use '' |
- | {{:diff1.png|}} {{:diff2.png|}} | + | {{:differentiate.png?nolink|}} |
- | ===== Formula | + | ===== Algorithm |
To perform differentiation you should specify two columns: //x// and //y//. Missing values are ignored. | To perform differentiation you should specify two columns: //x// and //y//. Missing values are ignored. | ||
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First and last points (//i//=1 and //i=N//) are computed as follows: | First and last points (//i//=1 and //i=N//) are computed as follows: | ||
- | <m>{y prime}_1 = {y_2 − y_1}/{x_2 − x_1} ,~ {y prime}_N = {y_N − y_{N − 1}}/{x_N − x_{N − 1}}</ | + | <m>{y prime}_1 = {y_2 − y_1}/{x_2 − x_1} ,~~ {y prime}_N = {y_N − y_{N − 1}}/{x_N − x_{N − 1}}</ |
+ | ===== See Also ===== | ||
+ | * [[processing]] | ||
+ | * [[Integration]] |