multiplicative group उदाहरण वाक्य

उदाहरण वाक्य

1. All left-isoclinic rotations form a noncommutative subgroup S 3 L of SO ( 4 ), which is isomorphic to the multiplicative group S 3 of unit quaternions.
2. The Artin reciprocity law, which is a high level generalisation of the Gauss quadratic reciprocity law, states that the product vanishes on the multiplicative group of the number field.
3. The case of 2-cocycles for the multiplicative group is that of the Brauer group, and the implications seem to have been well known to algebraists of the 1930s.
4. The "'Fiat Shamir heuristic "'is a technique in cryptography for taking an multiplicative groups of integers modulo n with prime " n ".
5. Compare the values 6 and 4 for Euler's totient function, the multiplicative group of integers modulo n for " n " = 9 and 10, respectively.
6. Thus the multiplicative group of non-zero quaternions acts by conjugation on the copy of "'R "'3 consisting of quaternions with real part equal to zero.
7. In this way, the function mapping each triangle to its area or perimeter can be seen as equivariant for a multiplicative group action of the scaling transformations on the positive real numbers.
8. This follows from the fact that belongs to the multiplicative group ( \ mathbb { Z } / m \ mathbb { Z } ) ?if and only if is coprime to.
9. If the matrix entries come from a field, the scalar matrices form a group, under matrix multiplication, that is isomorphic to the multiplicative group of nonzero elements of the field.
10. The connecting homomorphism from, which is simply the group of-valued points, to is essentially the spinor norm, because is isomorphic to the multiplicative group of the field modulo squares.