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Ingy döt Net 2023-07-01 11:58:00 -04:00
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Task/Numerical-integration/Ursala/numerical-integration-1.ursala Normal file
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#import std
#import nat
#import flo
(integral_by "m") ("f","a","b","n") =
iprod ^(* ! div\float"n" minus/"b" "a",~&) ("m" "f")*ytp (ari successor "n")/"a" "b"

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Task/Numerical-integration/Ursala/numerical-integration-2.ursala Normal file
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(integral_by "m") ("f","a","b","n") =
iprod ^(* ! div\float"n" minus/"b" "a",~&) ^H(*+ "m"+ -:"f"+ * ^/~& "f",~&ytp) (ari successor "n")/"a" "b"

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Task/Numerical-integration/Ursala/numerical-integration-3.ursala Normal file
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left = integral_by "f". ("l","r"). "f" "l"
right = integral_by "f". ("l","r"). "f" "r"
midpoint = integral_by "f". ("l","r"). "f" div\2. plus/"l" "r"
trapezium = integral_by "f". ("l","r"). div\2. plus "f"~~/"l" "r"
simpson = integral_by "f". ("l","r"). div\6. plus:-0. <"f" "l",times/4. "f" div\2. plus/"l" "r","f" "r">

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Task/Numerical-integration/Ursala/numerical-integration-4.ursala Normal file
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#cast %eL
examples = <.left,midpoint,rignt,trapezium,simpson> (sqr,0.,pi,10)