cancel
Showing results for 
Search instead for 
Did you mean: 
cancel
Showing results for 
Search instead for 
Did you mean: 

Community Tip - Need to share some code when posting a question or reply? Make sure to use the "Insert code sample" menu option. Learn more! X

Euler spiral

ValeryOchkov
24-Ruby IV

Euler spiral

Is it my or Mathcad Prime 6 error?

Euler-spiral-limit.png

 

ACCEPTED SOLUTION

Accepted Solutions
Cornel
19-Tanzanite
(To:ValeryOchkov)

Wolfram result:
Cornel_0-1699949772614.png

Cornel_3-1699949861978.png

 



Mathcad Prime 9 result:

Cornel_2-1699949837596.png

 

Cornel_4-1699949869674.png


So, it's a Mathcad Prime error

And the problem is when taking the limit because the integrals are correctly calculated:

Cornel_5-1699950080527.png

Cornel_6-1699950089763.png

 

 

View solution in original post

7 REPLIES 7
Cornel
19-Tanzanite
(To:ValeryOchkov)

Wolfram result:
Cornel_0-1699949772614.png

Cornel_3-1699949861978.png

 



Mathcad Prime 9 result:

Cornel_2-1699949837596.png

 

Cornel_4-1699949869674.png


So, it's a Mathcad Prime error

And the problem is when taking the limit because the integrals are correctly calculated:

Cornel_5-1699950080527.png

Cornel_6-1699950089763.png

 

 


@ValeryOchkov wrote:

Is it my or Mathcad Prime 6 error?

 

 


Hmmm, that depends.

As you are using Prime 6 we could say that its you and not Prime 6,  because Prime 6 actually IS capable to return the correct result and so far is the last version of Prime able to do so.  Just switch back to the old symbolic engine 😄

Werner_E_1-1699973788111.png

 

As Cornel already wrote its the limit of the Fresnel cosine integral function which is calculated wrong (same problem with FresnelS, too)

Werner_E_1-1699975078108.png

 

 

 

 

 

Werner_E_0-1699982293803.png

🙂

 

And don't use an end value larger than 12 or the like as the numeric accuracy of the integral is rather bad.

Werner_E_0-1699984208954.png

You sure will have to increase the Integrals accuracy value from its default 100 to a much higher value. Here is what you get if you set it to 1000:

Werner_E_2-1699984504912.png

 

 

The problem - Track transition curve 

1-24-RA.png

Tube.png

1-1-Кривизна-x3.png

sin.png

1-10-Euler-spiral.png

1-22-Physic.png

Tolstoy ovalTolstoy oval

Euler target

Target.png

 

Announcements

Top Tags