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TT_101472431-Visitor
1-Visitor
December 14, 2021
Solved

15 units rounding rule.

Can i somehow round my answers with 15 units rounding rule with mathcad prime 7?

What functions i have to use to do that if its able to do?

Werner_E
Werner_EAnswer
25-Diamond I
December 15, 2021

So here is a quick hack, a new function "Round_15" which seems to to what you are asking for.

Werner_E_1-1639529573616.png

 

I could not use "Ceil" (see "Round_15_(..) in the attached sheet) because this function would not round 1,0 up to 2. So I had to use the old method of adding 0.5 and using the normal "Round" function.

The function has no error checking, so don't feed it with arguments <=0 😉
i have the feeling that this function can be written much more compact and elegant, but...

 

Prime 6 sheet attached

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18 replies

StuartBruff23-Emerald V
23-Emerald V
December 14, 2021
@TT_10147243 wrote:

Can i somehow round my answers with 15 units rounding rule with mathcad prime 7?

What functions i have to use to do that if its able to do?

Yes, Mathcad Prime 7 has a set of rounding and truncation functions.  They are describe in this link,

 

https://support.ptc.com/help/mathcad/r7.0/en/index.html#page/PTC_Mathcad_Help%2Ftruncation_and_rounding_functions.html

 

Examples are given in:

 

https://support.ptc.com/help/mathcad/r7.0/en/index.html#page/PTC_Mathcad_Help%2Fexample_truncation_and_roundoff_functions.html%23wwID0EIJZEB

 

If you just wish to display n places without affecting the value that Mathcad stores, then use the Display Precision dropdown menu in the Math Format tab.  The default display precision is 3 decimal places, but it can be set to 15 dp.

 

Stuart

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    TT_101472431-VisitorAuthor
    1-Visitor
    December 14, 2021

    Thanks for those but i didnt found answer to my task. I have to get mathcad round my error estimate with 15 digit rule.

    Like if i have ΔF=2.1069 when its rounded its 3. 15 doesnt fit to 2, 15 fits in 21 then one number back and round upwards to 3

    And if ΔF=1.4678 its 1.5.   15 doesnt fit to 1, doesnt fit to 14, fits in 146 one number back and round upwards to 1.5

    I know how to do it on paper but how i can get mathcad to do it :DD

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    Werner_E
    Werner_E25-Diamond I
    25-Diamond I
    December 14, 2021

    Would this do the job?

    Werner_E_0-1639518793642.png

    Or are you rather looking for a custom function like

    Werner_E_1-1639519443814.png

    What should 1 be "rounded" to?

    Werner_E_2-1639519607026.png

     

     

     

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      LucMeekes23-Emerald IV
      23-Emerald IV
      December 15, 2021

      Searching on internet for the '15 unit rule' brings me:

      https://www.jyu.fi/science/en/physics/studies/student-laboratory/rules-for-presenting-the-measured-value-and-the-uncertainty

      (I have a hard time understanding that English, some sentences don't appear correct) and

      http://en.opasnet.org/w/Fifteen-unit_rule_for_rounding_numerical_results

      From what I read in both sources, you can only apply the rule to a number WITH a given measure of accuracy/uncertainty. If not, it would be really foolish to round 2.1064 to 3. E.g. if the uncertainty in it would be 0.00004.

       

      Success!
      Luc

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        Werner_E
        Werner_E25-Diamond I
        25-Diamond I
        December 15, 2021
        @LucMeekes wrote:

        Searching on internet for the '15 unit rule' brings me:

        https://www.jyu.fi/science/en/physics/studies/student-laboratory/rules-for-presenting-the-measured-value-and-the-uncertainty

        (I have a hard time understanding that English, some sentences don't appear correct) and

        http://en.opasnet.org/w/Fifteen-unit_rule_for_rounding_numerical_results

        From what I read in both sources, you can only apply the rule to a number WITH a given measure of accuracy/uncertainty. If not, it would be really foolish to round 2.1064 to 3. E.g. if the uncertainty in it would be 0.00004.

         

        Success!
        Luc

        As I understand it, it is just the uncertainty which is rounded that way, not the main, average value.

        Its interesting that this kind of rounding seems to only appear in Finnish sources. I had not heard of it until now (which actually does not mean anything, of course).

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