Element order is always important in XML, except when it isn't

"Which came first," begins an old joke. But the more interesting question might be, "does it even matter?" There are many obvious and several not-so-obvious ways in which the order of items (be they XML elements or attributes, or JSON maps or arrays) can be understood to be significant or insignificant. These are not new questions and how they’re answered plays out across vocabulary design, schema design, and individual documents. They are important questions when it comes deciding if two documents are “the same” or “different” and to what extent. This paper challenges the one-size-fits-all decree in XML that order needs to be preserved and reviews the implications of 'order'. When ordered elements can be moved then we have something that has some common ground with orderless. This paper establishes a continuum between ordered information and orderless information and proposes that these are not as far apart as they might at first appear.

Recognition of the Simple Groups 2D8((2n)2)

One of the important problems in finite groups theory is group characterization by specific property. Properties, such as element orders, set of elements with the same order, the largest element order, etc. In this paper, we prove that the simple groups 2 D 8((2 n )2)where, 28 n + 1 is a prime number are uniquely determined by its order and the largest elements order.

A New Characterization of Simple K3-Groups and Some L2(p)

A finite simple group G is called a simple K3-group if |G| has exactly three distinct prime divisors. In this paper, we characterize the finite simple K3-groups and some L2(p) only by using the group order and maximal element order, which generalize some known results.