Symbolic Quaternion Multiplication
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It is possible to do the symbolic multiplication $qq^*$ of a quaternion $q=a+bi+cj+dk$ by its conjugate $q^*=a-bi-cj-dk$ using Mathematica? It seems that Quaternion package only works with numeric entries.
symbolic quaternions
asked Nov 19 '18 at 17:06
robson denkerobson denke
811512
$endgroup$
add a comment |
$begingroup$
It is possible to do the symbolic multiplication $qq^*$ of a quaternion $q=a+bi+cj+dk$ by its conjugate $q^*=a-bi-cj-dk$ using Mathematica? It seems that Quaternion package only works with numeric entries.
symbolic quaternions
asked Nov 19 '18 at 17:06
robson denkerobson denke
811512
$endgroup$
4
$begingroup$
Use ** instead of * to "multiply" 2 quaternions.
$endgroup$
– Carl Woll
Nov 19 '18 at 17:19
1
$begingroup$
Try a new package named GTPack.
$endgroup$
– Αλέξανδρος Ζεγγ
Nov 20 '18 at 2:53
$begingroup$
Thanks for all the relevant contributions!
$endgroup$
– robson denke
Nov 28 '18 at 20:01
add a comment |
$begingroup$
It is possible to do the symbolic multiplication $qq^*$ of a quaternion $q=a+bi+cj+dk$ by its conjugate $q^*=a-bi-cj-dk$ using Mathematica? It seems that Quaternion package only works with numeric entries.
symbolic quaternions
asked Nov 19 '18 at 17:06
robson denkerobson denke
811512
$endgroup$
It is possible to do the symbolic multiplication $qq^*$ of a quaternion $q=a+bi+cj+dk$ by its conjugate $q^*=a-bi-cj-dk$ using Mathematica? It seems that Quaternion package only works with numeric entries.
symbolic quaternions
symbolic quaternions
asked Nov 19 '18 at 17:06
robson denkerobson denke
811512
asked Nov 19 '18 at 17:06
robson denkerobson denke
811512
asked Nov 19 '18 at 17:06
robson denkerobson denke
811512
asked Nov 19 '18 at 17:06
robson denkerobson denke
811512
asked Nov 19 '18 at 17:06
robson denkerobson denke
811512
811512
4
$begingroup$
Use ** instead of * to "multiply" 2 quaternions.
$endgroup$
– Carl Woll
Nov 19 '18 at 17:19
1
$begingroup$
Try a new package named GTPack.
$endgroup$
– Αλέξανδρος Ζεγγ
Nov 20 '18 at 2:53
$begingroup$
Thanks for all the relevant contributions!
$endgroup$
– robson denke
Nov 28 '18 at 20:01
add a comment |
4
$begingroup$
Use ** instead of * to "multiply" 2 quaternions.
$endgroup$
– Carl Woll
Nov 19 '18 at 17:19
1
$begingroup$
Try a new package named GTPack.
$endgroup$
– Αλέξανδρος Ζεγγ
Nov 20 '18 at 2:53
$begingroup$
Thanks for all the relevant contributions!
$endgroup$
– robson denke
Nov 28 '18 at 20:01
4
4
$begingroup$
Use ** instead of * to "multiply" 2 quaternions.
$endgroup$
– Carl Woll
Nov 19 '18 at 17:19
$begingroup$
Use ** instead of * to "multiply" 2 quaternions.
$endgroup$
– Carl Woll
Nov 19 '18 at 17:19
1
1
$begingroup$
Try a new package named GTPack.
$endgroup$
– Αλέξανδρος Ζεγγ
Nov 20 '18 at 2:53
$begingroup$
Try a new package named GTPack.
$endgroup$
– Αλέξανδρος Ζεγγ
Nov 20 '18 at 2:53
$begingroup$
Thanks for all the relevant contributions!
$endgroup$
– robson denke
Nov 28 '18 at 20:01
$begingroup$
Thanks for all the relevant contributions!
$endgroup$
– robson denke
Nov 28 '18 at 20:01
add a comment |
2 Answers
2
active
oldest
votes
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Needs["Quaternions`"]
q = Quaternion[a, b, c, d];
q ** Conjugate[q]
Quaternion[a^2 + b^2 + c^2 + d^2, 0, 0, 0]
answered Nov 19 '18 at 17:37
Thies HeideckeThies Heidecke
6,9362638
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add a comment |
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The following links might be helpful to you:
https://www.mathematica-journal.com/2018/05/computational-aspects-of-quaternionic-polynomials/
https://www.mathematica-journal.com/2018/07/computational-aspects-of-quaternionic-polynomials-2/
http://blog.wolframalpha.com/2011/08/25/quaternion-properties-and-interactive-rotations-with-wolframalpha/
answered Nov 19 '18 at 17:20
Gilmar Rodriguez PierluissiGilmar Rodriguez Pierluissi
605212
$endgroup$
5
$begingroup$
Please keep in mind that answers which provide only links are discouraged. Try to summarized the contents of the linked articles in the answer, so that if a link ever goes dead the answer will still be of use.
$endgroup$
– silvascientist
Nov 19 '18 at 23:55
add a comment |
Your Answer
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2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
Needs["Quaternions`"]
q = Quaternion[a, b, c, d];
q ** Conjugate[q]
Quaternion[a^2 + b^2 + c^2 + d^2, 0, 0, 0]
answered Nov 19 '18 at 17:37
Thies HeideckeThies Heidecke
6,9362638
$endgroup$
add a comment |
$begingroup$
Needs["Quaternions`"]
q = Quaternion[a, b, c, d];
q ** Conjugate[q]
Quaternion[a^2 + b^2 + c^2 + d^2, 0, 0, 0]
answered Nov 19 '18 at 17:37
Thies HeideckeThies Heidecke
6,9362638
$endgroup$
add a comment |
$begingroup$
Needs["Quaternions`"]
q = Quaternion[a, b, c, d];
q ** Conjugate[q]
Quaternion[a^2 + b^2 + c^2 + d^2, 0, 0, 0]
answered Nov 19 '18 at 17:37
Thies HeideckeThies Heidecke
6,9362638
$endgroup$
Needs["Quaternions`"]
q = Quaternion[a, b, c, d];
q ** Conjugate[q]
Quaternion[a^2 + b^2 + c^2 + d^2, 0, 0, 0]
answered Nov 19 '18 at 17:37
Thies HeideckeThies Heidecke
6,9362638
answered Nov 19 '18 at 17:37
Thies HeideckeThies Heidecke
6,9362638
answered Nov 19 '18 at 17:37
Thies HeideckeThies Heidecke
6,9362638
answered Nov 19 '18 at 17:37
Thies HeideckeThies Heidecke
6,9362638
6,9362638
add a comment |
add a comment |
$begingroup$
The following links might be helpful to you:
https://www.mathematica-journal.com/2018/05/computational-aspects-of-quaternionic-polynomials/
https://www.mathematica-journal.com/2018/07/computational-aspects-of-quaternionic-polynomials-2/
http://blog.wolframalpha.com/2011/08/25/quaternion-properties-and-interactive-rotations-with-wolframalpha/
answered Nov 19 '18 at 17:20
Gilmar Rodriguez PierluissiGilmar Rodriguez Pierluissi
605212
$endgroup$
5
$begingroup$
Please keep in mind that answers which provide only links are discouraged. Try to summarized the contents of the linked articles in the answer, so that if a link ever goes dead the answer will still be of use.
$endgroup$
– silvascientist
Nov 19 '18 at 23:55
add a comment |
$begingroup$
The following links might be helpful to you:
https://www.mathematica-journal.com/2018/05/computational-aspects-of-quaternionic-polynomials/
https://www.mathematica-journal.com/2018/07/computational-aspects-of-quaternionic-polynomials-2/
http://blog.wolframalpha.com/2011/08/25/quaternion-properties-and-interactive-rotations-with-wolframalpha/
answered Nov 19 '18 at 17:20
Gilmar Rodriguez PierluissiGilmar Rodriguez Pierluissi
605212
$endgroup$
5
$begingroup$
Please keep in mind that answers which provide only links are discouraged. Try to summarized the contents of the linked articles in the answer, so that if a link ever goes dead the answer will still be of use.
$endgroup$
– silvascientist
Nov 19 '18 at 23:55
add a comment |
$begingroup$
The following links might be helpful to you:
https://www.mathematica-journal.com/2018/05/computational-aspects-of-quaternionic-polynomials/
https://www.mathematica-journal.com/2018/07/computational-aspects-of-quaternionic-polynomials-2/
http://blog.wolframalpha.com/2011/08/25/quaternion-properties-and-interactive-rotations-with-wolframalpha/
answered Nov 19 '18 at 17:20
Gilmar Rodriguez PierluissiGilmar Rodriguez Pierluissi
605212
$endgroup$
The following links might be helpful to you:
https://www.mathematica-journal.com/2018/05/computational-aspects-of-quaternionic-polynomials/
https://www.mathematica-journal.com/2018/07/computational-aspects-of-quaternionic-polynomials-2/
http://blog.wolframalpha.com/2011/08/25/quaternion-properties-and-interactive-rotations-with-wolframalpha/
answered Nov 19 '18 at 17:20
Gilmar Rodriguez PierluissiGilmar Rodriguez Pierluissi
605212
answered Nov 19 '18 at 17:20
Gilmar Rodriguez PierluissiGilmar Rodriguez Pierluissi
605212
answered Nov 19 '18 at 17:20
Gilmar Rodriguez PierluissiGilmar Rodriguez Pierluissi
605212
answered Nov 19 '18 at 17:20
Gilmar Rodriguez PierluissiGilmar Rodriguez Pierluissi
605212
605212
5
$begingroup$
Please keep in mind that answers which provide only links are discouraged. Try to summarized the contents of the linked articles in the answer, so that if a link ever goes dead the answer will still be of use.
$endgroup$
– silvascientist
Nov 19 '18 at 23:55
add a comment |
5
$begingroup$
Please keep in mind that answers which provide only links are discouraged. Try to summarized the contents of the linked articles in the answer, so that if a link ever goes dead the answer will still be of use.
$endgroup$
– silvascientist
Nov 19 '18 at 23:55
5
5
$begingroup$
Please keep in mind that answers which provide only links are discouraged. Try to summarized the contents of the linked articles in the answer, so that if a link ever goes dead the answer will still be of use.
$endgroup$
– silvascientist
Nov 19 '18 at 23:55
$begingroup$
Please keep in mind that answers which provide only links are discouraged. Try to summarized the contents of the linked articles in the answer, so that if a link ever goes dead the answer will still be of use.
$endgroup$
– silvascientist
Nov 19 '18 at 23:55
add a comment |
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4
$begingroup$
Use ** instead of * to "multiply" 2 quaternions.
$endgroup$
– Carl Woll
Nov 19 '18 at 17:19
1
$begingroup$
Try a new package named GTPack.
$endgroup$
– Αλέξανδρος Ζεγγ
Nov 20 '18 at 2:53
$begingroup$
Thanks for all the relevant contributions!
$endgroup$
– robson denke
Nov 28 '18 at 20:01