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Diff — Integral

Revision #1835 → #2993 · back to history

modifiedIndefinite integral / antiderivativef78185eb80d5
FieldFrom #1835To #2993
noteMathlib has no named `antiderivative` definition; antiderivatives are stated via `HasDerivAt F' = f` hypotheses.Mathlib has no named `antiderivative` constant; antiderivatives are expressed via `HasDerivAt F (f x) x` hypotheses.
modifiedLine integral4ab2c3ff01e4
FieldFrom #1835To #2993
noteNo general line integral over a curve is defined in Mathlib (no `curveIntegral` decl exists); only `intervalIntegral` over an interval and `circleIntegral` for circles.No general line integral over a curve exists in Mathlib; only `intervalIntegral` (over an interval) and `circleIntegral` (over a circle).
addedSum of fourth powers formulada366a44c436
modifiedMesh of a partition7b6ae7fbe1f8
FieldFrom #1835To #2993
noteMathlib's BoxIntegral uses `distortion` and `isSubordinate` rather than a scalar mesh.Mathlib's `BoxIntegral` uses `distortion` and `isSubordinate` rather than a scalar mesh.
modifiedHenstock–Kurzweil integrale47c3630a08d
FieldFrom #1835To #2993
noteBoxIntegral with the Henstock filter is the gauge / Henstock–Kurzweil integral.`BoxIntegral` with the Henstock filter is the gauge / Henstock–Kurzweil integral.
addedRectangle methode66d3a3dc4ad
addedClenshaw–Curtis quadrature467876f01846
addedMonte Carlo integrationaea08a28a728