fix docs
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@ -1,8 +1,8 @@
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USING: help.markup help.syntax math.functions ;
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USING: help.markup help.syntax math math.functions ;
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IN: math.derivatives
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HELP: derivative ( x function -- m )
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{ $values { "x" "a position on the function" } { "function" "a differentiable function" } }
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{ $values { "x" "a position on the function" } { "function" "a differentiable function" } { "m" number } }
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{ $description
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"Approximates the slope of the tangent line by using Ridders' "
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"method of computing derivatives, from the chapter \"Accurate computation "
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@ -11,7 +11,7 @@ HELP: derivative ( x function -- m )
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{ $examples
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{ $example
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"USING: math math.derivatives prettyprint ;"
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"[ sq ] 4 derivative ."
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"4 [ sq ] derivative >integer ."
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"8"
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}
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{ $notes
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@ -20,10 +20,10 @@ HELP: derivative ( x function -- m )
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}
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} ;
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HELP: (derivative) ( x function h err -- m )
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HELP: (derivative)
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{ $values
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{ "x" "a position on the function" }
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{ "function" "a differentiable function" }
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{ "func" "a differentiable function" }
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{
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"h" "distance between the points of the first secant line used for "
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"approximation of the tangent. This distance will be divided "
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@ -41,6 +41,8 @@ HELP: (derivative) ( x function h err -- m )
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"when the error multiplies by 2. See " { $link check-safe } " for "
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"the enforcing code."
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}
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{ "ans" number }
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{ "error" number }
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}
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{ $description
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"Approximates the slope of the tangent line by using Ridders' "
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@ -51,7 +53,7 @@ HELP: (derivative) ( x function h err -- m )
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{ $examples
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{ $example
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"USING: math math.derivatives prettyprint ;"
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"[ sq ] 4 derivative ."
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"4 [ sq ] derivative >integer ."
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"8"
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}
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{ $notes
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@ -60,7 +62,7 @@ HELP: (derivative) ( x function h err -- m )
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}
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} ;
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HELP: derivative-func ( function -- der )
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HELP: derivative-func
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{ $values { "func" "a differentiable function" } { "der" "the derivative" } }
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{ $description
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"Provides the derivative of the function. The implementation simply "
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@ -68,7 +70,7 @@ HELP: derivative-func ( function -- der )
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}
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{ $examples
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{ $example
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"USING: math.derivatives math.trig prettyprint ;"
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"USING: kernel math.derivatives math.functions math.trig prettyprint ;"
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"60 deg>rad [ sin ] derivative-func call ."
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"0.5000000000000173"
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}
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