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lvl10720-Turquoise
20-Turquoise
June 25, 2024
Solved

Simplify ?

  • June 25, 2024
  • 3 replies
  • 5025 views

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

Best answer by Werner_E

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

 

 

 

3 replies

W
Werner_E25-Diamond I
25-Diamond I
June 25, 2024

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.

 

 

L
lvl10720-TurquoiseAuthor
20-Turquoise
June 25, 2024

   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.

A
AlfredFlaßhaar15-Moonstone
15-Moonstone
July 14, 2024

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

L
lvl10720-TurquoiseAuthor
20-Turquoise
July 14, 2024

Hello, AlfredFlaßhaar.

Snub Cube.PNG

   

   Regards.

A
AlfredFlaßhaar15-Moonstone
15-Moonstone
July 15, 2024

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.

A
AlfredFlaßhaar15-Moonstone
15-Moonstone
July 21, 2024

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

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