A comment on star-ordering and tail-ordering

Comment on "Orientational ordering transition in solid C60"

A Comment on the Letter by P. A. Heiney et al., Phys. Rev. Lett. 66, 2911 (1991).

Co-ordering and Type 2 co-ordering

In [arXiv:1006.4939] the enumeration order reducibility is defined on natural numbers. For a c.e. set A, [A] denoted the class of all subsets of natural numbers which are co-order with A. In definition 5 we redefine co-ordering for rational numbers. One of the main questions there, was:"For a specific c.e. set A, consider set of all enumerations of it which is generated by some Turing machine {...

Reply to “Comment on ‘Temperature- dependent orientational ordering on a spherical surface modeled with a lattice

On Lexical Aggregation and Ordering

Aggregation is the process of removing redundant information during language generation while preserving the information to be conveyed. Aggregation is an important component of text or sentence planning. Without aggregation, automated language generation systems would not be able to p roduce f luent text f rom real -wor ld databases and knowledge bases, since information is rarely stored in co...

On Ordering of Bags

The following propositions are true: (1) For all sets x, y, z such that z ∈ x and z ∈ y holds x \ {z} = y \ {z} iff x = y. (2) For all natural numbers n, k holds k ∈ Seg n iff k−1 is a natural number and k − 1 < n. Let f be a natural-yielding function and let X be a set. One can verify that f↾X is natural-yielding. Let f be a finite-support function and let X be a set. One can check that f↾X is...