(50g, 49g) ArcLength v1.1  The lenght of arch of given function

06062018, 04:36 PM
(This post was last modified: 06062018 05:05 PM by Vtile.)
Post: #3




RE: (50g, 49g) ArcLength  The lenght of arch of given function
Hello Dieter!
I also think that the integration accuracy is dependent on the selected display format. I normally use ENG 3 format. That display format dependency is also what J. Horn did mention on some old post I did find at the morning. Weren't the 15C (and maybe other classic machines) like that also? With ENG 6 mode, the above code indeed does give answer (50g): ArcLength(2x*sin(10x)) = 19.6287926576 IERR = 1.962879...E5 So it does agree with the wolfram alpha in 7 decimals, but it takes a while (coffee break) to calculate. ...a surprise is that WA refuges to go above integer value 3 (upper integration limit), it seems. XCAS (MODE: exact,real,RAD,16,MAPLE) as a whole calculation in a worksheet does give a value: 19.628792649016e0 simultaneously when I hit run (Intel i54690K Stock). For ENG 4 mode, the given value (50g) is : ArcLength(2x*sin(10x)) = 19.6287694327 IERR = 1.96E3 (takes somewhat long) For ENG 3 mode, the given value (50g) is: ArcLength(2x*sin(10x)) = 19.6416300627 IERR = 19.6404..E3 For FIX 3 mode, the given value (50g) is the same as above. Standard mode the answer is (after a lunch): ArcLength(2x*sin(10x)) = 19.628792649 IERR = 1.9.628..E10 So summa summarum, the above code do give correct numerical approximations. PS. here is the results as a table like format: 19.628792649016e0 XCAS 19.628792649... Wo.Al. 19.628792649 50g Standard mode 19.6287926576 50g ENG 6 19.6287694327 50g ENG 4 19.6416300627 50g ENG 3 

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Messages In This Thread 
(50g, 49g) ArcLength v1.1  The lenght of arch of given function  Vtile  06052018, 07:51 PM
RE: (50g, 49g) ArcLength  The lenght of arch of given function  Dieter  06062018, 11:40 AM
RE: (50g, 49g) ArcLength  The lenght of arch of given function  Vtile  06062018 04:36 PM
RE: (50g, 49g) ArcLength  The lenght of arch of given function  Carsen  06062018, 04:44 PM
RE: (50g, 49g) ArcLength v1.1  The lenght of arch of given function  Vtile  06062018, 05:03 PM
RE: (50g, 49g) ArcLength v1.1  The lenght of arch of given function  Carsen  06112018, 03:32 AM

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