kvaterniooni
Kvaterniooni is a mathematical concept that extends complex numbers. While complex numbers have a real part and an imaginary part represented by 'i', where i squared equals -1, quaternions introduce two additional imaginary units, 'j' and 'k'. A quaternion can be written in the form a + bi + cj + dk, where a, b, c, and d are real numbers. The multiplication rules for these units are: i squared = j squared = k squared = ijk = -1, and also ij = k, ji = -k, jk = i, kj = -i, ki = j, ik = -j.
This system of multiplication is non-commutative, meaning the order of multiplication matters, unlike with real or
The algebra of quaternions is a four-dimensional division algebra over the real numbers. This means that every