Symbolic Quaternion Multiplication
up vote
7
down vote
favorite
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 at 17:06
robson denke
804512
add a comment |
up vote
7
down vote
favorite
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 at 17:06
robson denke
804512
4
Use ** instead of * to "multiply" 2 quaternions.
– Carl Woll
Nov 19 at 17:19
1
Try a new package named GTPack.
– Αλέξανδρος Ζεγγ
Nov 20 at 2:53
Thanks for all the relevant contributions!
– robson denke
5 hours ago
add a comment |
up vote
7
down vote
favorite
up vote
7
down vote
favorite
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 at 17:06
robson denke
804512
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 at 17:06
robson denke
804512
asked Nov 19 at 17:06
robson denke
804512
asked Nov 19 at 17:06
robson denke
804512
asked Nov 19 at 17:06
robson denke
804512
asked Nov 19 at 17:06
robson denke
804512
804512
4
Use ** instead of * to "multiply" 2 quaternions.
– Carl Woll
Nov 19 at 17:19
1
Try a new package named GTPack.
– Αλέξανδρος Ζεγγ
Nov 20 at 2:53
Thanks for all the relevant contributions!
– robson denke
5 hours ago
add a comment |
4
Use ** instead of * to "multiply" 2 quaternions.
– Carl Woll
Nov 19 at 17:19
1
Try a new package named GTPack.
– Αλέξανδρος Ζεγγ
Nov 20 at 2:53
Thanks for all the relevant contributions!
– robson denke
5 hours ago
4
4
Use ** instead of * to "multiply" 2 quaternions.
– Carl Woll
Nov 19 at 17:19
Use ** instead of * to "multiply" 2 quaternions.
– Carl Woll
Nov 19 at 17:19
1
1
Try a new package named GTPack.
– Αλέξανδρος Ζεγγ
Nov 20 at 2:53
Try a new package named GTPack.
– Αλέξανδρος Ζεγγ
Nov 20 at 2:53
Thanks for all the relevant contributions!
– robson denke
5 hours ago
Thanks for all the relevant contributions!
– robson denke
5 hours ago
add a comment |
2 Answers
2
active
oldest
votes
up vote
8
down vote
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 at 17:37
Thies Heidecke
6,7162438
add a comment |
up vote
2
down vote
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 at 17:20
Gilmar Rodriguez Pierluissi
590212
5
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.
– silvascientist
Nov 19 at 23:55
add a comment |
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
8
down vote
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 at 17:37
Thies Heidecke
6,7162438
add a comment |
up vote
8
down vote
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 at 17:37
Thies Heidecke
6,7162438
add a comment |
up vote
8
down vote
up vote
8
down vote
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 at 17:37
Thies Heidecke
6,7162438
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 at 17:37
Thies Heidecke
6,7162438
answered Nov 19 at 17:37
Thies Heidecke
6,7162438
answered Nov 19 at 17:37
Thies Heidecke
6,7162438
answered Nov 19 at 17:37
Thies Heidecke
6,7162438
6,7162438
add a comment |
add a comment |
up vote
2
down vote
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 at 17:20
Gilmar Rodriguez Pierluissi
590212
5
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.
– silvascientist
Nov 19 at 23:55
add a comment |
up vote
2
down vote
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 at 17:20
Gilmar Rodriguez Pierluissi
590212
5
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.
– silvascientist
Nov 19 at 23:55
add a comment |
up vote
2
down vote
up vote
2
down vote
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 at 17:20
Gilmar Rodriguez Pierluissi
590212
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 at 17:20
Gilmar Rodriguez Pierluissi
590212
answered Nov 19 at 17:20
Gilmar Rodriguez Pierluissi
590212
answered Nov 19 at 17:20
Gilmar Rodriguez Pierluissi
590212
answered Nov 19 at 17:20
Gilmar Rodriguez Pierluissi
590212
590212
5
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.
– silvascientist
Nov 19 at 23:55
add a comment |
5
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.
– silvascientist
Nov 19 at 23:55
5
5
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.
– silvascientist
Nov 19 at 23:55
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.
– silvascientist
Nov 19 at 23:55
add a comment |
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4
Use ** instead of * to "multiply" 2 quaternions.
– Carl Woll
Nov 19 at 17:19
1
Try a new package named GTPack.
– Αλέξανδρος Ζεγγ
Nov 20 at 2:53
Thanks for all the relevant contributions!
– robson denke
5 hours ago