Symbolic Quaternion Multiplication
up vote
6
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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 yesterday
robson denke
799411
add a comment |
up vote
6
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 yesterday
robson denke
799411
3
Use ** instead of * to "multiply" 2 quaternions.
– Carl Woll
yesterday
Try a new package named GTPack.
– Αλέξανδρος Ζεγγ
yesterday
add a comment |
up vote
6
down vote
favorite
up vote
6
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 yesterday
robson denke
799411
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 yesterday
robson denke
799411
asked yesterday
robson denke
799411
asked yesterday
robson denke
799411
asked yesterday
robson denke
799411
asked yesterday
robson denke
799411
799411
3
Use ** instead of * to "multiply" 2 quaternions.
– Carl Woll
yesterday
Try a new package named GTPack.
– Αλέξανδρος Ζεγγ
yesterday
add a comment |
3
Use ** instead of * to "multiply" 2 quaternions.
– Carl Woll
yesterday
Try a new package named GTPack.
– Αλέξανδρος Ζεγγ
yesterday
3
3
Use ** instead of * to "multiply" 2 quaternions.
– Carl Woll
yesterday
Use ** instead of * to "multiply" 2 quaternions.
– Carl Woll
yesterday
Try a new package named GTPack.
– Αλέξανδρος Ζεγγ
yesterday
Try a new package named GTPack.
– Αλέξανδρος Ζεγγ
yesterday
add a comment |
2 Answers
2
active
oldest
votes
up vote
7
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 yesterday
Thies Heidecke
6,6862438
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 yesterday
Gilmar Rodriguez Pierluissi
590212
4
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
yesterday
add a comment |
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
7
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 yesterday
Thies Heidecke
6,6862438
add a comment |
up vote
7
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 yesterday
Thies Heidecke
6,6862438
add a comment |
up vote
7
down vote
up vote
7
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 yesterday
Thies Heidecke
6,6862438
Needs["Quaternions`"]
q = Quaternion[a, b, c, d];
q ** Conjugate[q]
Quaternion[a^2 + b^2 + c^2 + d^2, 0, 0, 0]
answered yesterday
Thies Heidecke
6,6862438
answered yesterday
Thies Heidecke
6,6862438
answered yesterday
Thies Heidecke
6,6862438
answered yesterday
Thies Heidecke
6,6862438
6,6862438
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 yesterday
Gilmar Rodriguez Pierluissi
590212
4
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
yesterday
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 yesterday
Gilmar Rodriguez Pierluissi
590212
4
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
yesterday
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 yesterday
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 yesterday
Gilmar Rodriguez Pierluissi
590212
answered yesterday
Gilmar Rodriguez Pierluissi
590212
answered yesterday
Gilmar Rodriguez Pierluissi
590212
answered yesterday
Gilmar Rodriguez Pierluissi
590212
590212
4
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
yesterday
add a comment |
4
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
yesterday
4
4
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
yesterday
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
yesterday
add a comment |
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3
Use ** instead of * to "multiply" 2 quaternions.
– Carl Woll
yesterday
Try a new package named GTPack.
– Αλέξανδρος Ζεγγ
yesterday