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

Community Tip - When posting, your subject should be specific and summarize your question. Here are some additional tips on asking a great question. X

Simplify ?

lvl107
20-Turquoise

Simplify ?

Hello Everyone.
From :

1.png2.png

But :

3.png4.png

To : So now the question is : " How to simplify A ? "
Thanks in advance for your time and help.
Best Regards.
Loi

ACCEPTED SOLUTION

Accepted Solutions
Werner_E
25-Diamond I
(To:LucMeekes)

The two expressions definitely are equivalent.

With a little help even Mathcad can show this:

Werner_E_0-1719854471241.png

The numerical evaluations are just done to check if I made any typing errors 😉

 

But its interesting that MC11 returns 0 when we compare the expressions while MC15 returns 1.

It may have to do with the principal value of the third root ? Not sure, though.

Are the results the same in MC11 ?

Werner_E_1-1719855115968.png

 

 

 

View solution in original post

14 REPLIES 14
Werner_E
25-Diamond I
(To:lvl107)

You have to face the truth - the symbolics in MC15 seems not to be capable enough to do the simplification you want to see.

Neither is the symbolics in Prime 10 - see here:

Werner_E_0-1719342863938.png

 

Only way to achieve the result you are looking for in MC15 seems to be as in attached, but I am sure you won't like it 🙂

Werner_E_1-1719342972043.png

 

Attached Sheet is in MC11 format, maybe @LucMeekes  would like to give it a try with MC11/Maple.

 

 

lvl107
20-Turquoise
(To:Werner_E)

   I guess my MC15's symbolic engine is less powerful than your .mcd file. But I guess I should like your own mcd. file :

5.PNG

   Best Regards.

Cornel
19-Tanzanite
(To:Werner_E)

It seems that prime 10 cannot do this:
Cornel_0-1719385014205.png

 

LucMeekes
23-Emerald III
(To:Werner_E)

Mathcad11/Maple:

LucMeekes_2-1719823878050.png

LucMeekes_4-1719823941024.png

Which means the two expressions are NOT equal.

The reason you get:

LucMeekes_5-1719823982859.png

is because there's a hidden assignment (Note the redefinition indicator on A below):

LucMeekes_6-1719824008494.png

behind the

LucMeekes_7-1719824026434.png

The first assignment to A (very first at the top) also has a redefinition indicator, due to A redefining the unit Ampere.

 

Success!
Luc

 

 

 

 

Werner_E
25-Diamond I
(To:LucMeekes)

The redefinition in the hidden area was meant as a joke of mine an I also had written that MC seems to be unable to do the desired simplification and that I am sure that the only 'solution' I could think of won't make @lvl107  happy 🙂

His reply showed that he discovered the hidden area ...

 

Nonetheless MC15 actually claims the two expressions to be equal, even though its not able to simplify accordingly.

 

Find attached the original unchanged sheet of @lvl107  in MC11 format.

 

P.S.: Calculating the difference of the expressions seem to throw just numerical round-off errors.

Interesting is that when I use "float,200" I again get a tiny difference of about -1.6*10^201

Werner_E_0-1719847193708.png

 

 

lvl107
20-Turquoise
(To:LucMeekes)

Interesting.PNG

   

    It's very interesting to me !

        Best Regards

             Loi.

Hi @lvl107,

 

I wanted to follow up with you on your post to see if your question has been answered. 
If so, please mark the appropriate reply as the Accepted Solution. 

 

Thanks,
Anurag

Werner_E
25-Diamond I
(To:LucMeekes)

The two expressions definitely are equivalent.

With a little help even Mathcad can show this:

Werner_E_0-1719854471241.png

The numerical evaluations are just done to check if I made any typing errors 😉

 

But its interesting that MC11 returns 0 when we compare the expressions while MC15 returns 1.

It may have to do with the principal value of the third root ? Not sure, though.

Are the results the same in MC11 ?

Werner_E_1-1719855115968.png

 

 

 

LucMeekes
23-Emerald III
(To:Werner_E)

They're different, because Mathcad 11 doesn't support 'rectangular':

LucMeekes_0-1719948937986.png

 

Regarding the simplification. I guess the challenge is to find the right symbolic keyword:

LucMeekes_0-1719942964386.png

Note that with 'simplify' and 'expand' I just get a big expression.

However, Mathcad11/Maple will not simplify A to the other expression. Guess that's down to the basic problem: It's hard, to impossible, to control the output of the symbolic processor.

 

Success!
Luc

Where does this task come from? Please name the source.
Sunday greetings, thank you.

Hello, AlfredFlaßhaar.

Snub Cube.PNG

   

   Regards.

Thank you very much. I suspected one of the many identities on the topic of "Tribonacci". OEIS is full of them. But now the solution depends on the elaborate system of equations in x and y. How did you come up with this approach?

BTW
In the graph in MC14, the green point for Y is not shown.


@AlfredFlaßhaar wrote:

In the graph in MC14, the green point for Y is not shown.

  The file was "Save As" as "Snub Cube _ MC13" :

A.PNG

D.PNG

B.PNG

C.PNG

___

E.PNG

F.PNG

 

Regards.


 

Please cite the source for the term A:= ... in your original post.
Sunday greetings 😉

Announcements

Top Tags