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Julia bindings for various mathematical libraries (including flint2)
Nemo is a computer algebra package for the Julia programming language. It aims to cover commutative algebra, number theory and grouptheory. Julia bindings for various mathematical libraries (including flint2)
Complex quaternion calculator with Lorentz boosts and rotations
C++ code to perform the Lorentz boosts and rotations of special relativity using complex quaternions The interface is a complex quaternion console-based calculator with operations + - * / and functions for Lorentz boosts and rotations.
THEORY
Complex quaternions have form
q = A + B * I + C * J + D * K
A, B, C, D complex
I * I = -1
J * J = -1
K * K = -1
I * J = K
J * I = -K
J * K = I
K * J = -I
K * I = J
I * K = -J
Transpose T takes I into -I, J into -J, K into -K...
GroupExplorer is mathematical visualization software for the abstract algebra classroom.
Users can explore dozens of finite groups (and morphisms among them) visually and interactively.