Sentence examples for elements of a group from inspiring English sources
However, such a notion cannot be applied directly to elements of a group manifold.
Supporting decision-making processes when the elements of a group are geographically dispersed and on a tight schedule is a complex task.
More precisely, we are going to study natural linear representations of self-similar groups over finite fields, and show that matrices associated with elements of a group generated by a finite automaton are automatic.
There is also the educational aspect of having a tool that can aid in spatial visualisation of molecular symmetry since the ability to internally visualise all symmetry elements of a group may vary between students.
In other words, the question is, how can you have structure without individuals, or, in particular, how can we talk about a group without talking about the elements of a group?
If (x, ldots, y) are elements of a group (H), we denote by (langle x, ldots, y rangle _H) the subgroup of (H) they generate, and by (langle langle x, ldots, y rangle rangle _H) the normal subgroup of (H) they generate.
The Hyksos may have included elements of a grouping of people, largely Semitic, called the Habiru or Hapiru (Egyptian ʿApiru).
The axioms of group theory, for instance, characterize what it means for a mathematical structure to count as a group, what it takes for a particular element to be the identity element of a group, and what counts as the inverse of a particular element.
For Rosch [20], a prototype is the element of a group that is the most similar to all items inside the group and, at the same time, that is on average the most different from items of all the other groups.
Similarly, to prove that the identity element of a group is unique, assume G is a group with two identity elements e and f.
Vocabulary for today is as follows: order-a condition of logical, harmonious, or comprehensible arrangement in which each element of a group is properly disposed with reference to other elements and to its purpose.
