group axiom meaning in Hindi

Examples

1. that satisfies the group axioms where those are defined.
2. 6 ) The section " Simple consequences of the group axioms " seems incoherent.
3. The study of group homomorphisms then provides a tool for studying general properties of groups and consequences of the group axioms.
4. It can be shown that all other relations among the braids and already follow from these relations and the group axioms.
5. Once you know that * is well-defined, then you need to show that it satisfies the group axioms.
6. Another way to put this is that the possible differentiability class of does not matter : the group axioms collapse the whole gamut.
7. To qualify as a group, the set and operation,, must satisfy four requirements known as the " group axioms ":
8. *An "'iteration semiring "'is a Conway semiring satisfying the Conway group axioms, associated by John Conway to groups in star-semirings.
9. IP's is just symbolic, and I'm looking for a modification of Z ( or Q or R or whatever ) that doesn't necessarily have to preserve any of the field or group axioms.
10. One of the most familiar examples of a group is the set of integers together with the addition operation, but the abstract formalization of the group axioms, detached as it is from the concrete nature of any particular group and its operation, applies much more widely.