The objective behind the “TWIN SORT” technique is to sort the list of unordered data elements efficiently and to allow efficient and simple arrangement of data elements within the data structure with optimization of comparisons and iterations in the sorting method. This sorting technique is effectively terminates the iterations when there is no need of comparison if the elements are all sorted ...

iochemical and kinetic studies have failed to provide a unified view on how the Arp2/3 complex nucleates actin filaments. Does the complex, which mediates actin filament nucleation and branch formation at the leading edge of motile cells, bind to the side of an older actin filament, or does it become incorporated into that filament? B Structural studies now add a new dimension to the discourse,...

The goal of this article is to examine the effectiveness of “forloop” and “while-loop” statements on SCMPDS by insert sort. In this article, first of all, we present an approach to compute the execution result of “for-loop” program by “loop-invariant”, based on Hoare’s axioms for program verification. Secondly, we extend the fundamental properties of the finite sequence and complex instructions...

In this paper, we propose a useful replacement for quicksort-style utility functions. The replacement is called Symmetry Partition Sort, which has essentially the same principle as Proportion Extend Sort. The maximal difference between them is that the new algorithm always places already partially sorted inputs (used as a basis for the proportional extension) on both ends when entering the part...

Given an array with n elements, we want to rearrange them in ascending order. Sorting algorithms such as the Bubble, Insertion and Selection Sort all have a quadratic time complexity that limits their use when the number of elements is very big. In this paper, we introduce Merge Sort, a divide-andconquer algorithm to sort an N element array. We evaluate the O(NlogN) time complexity of merge sor...

We discuss how string sorting algorithms can be parallelized on modern multi-core shared memory machines. As a synthesis of the best sequential string sorting algorithms and successful parallel sorting algorithms for atomic objects, we propose string sample sort. The algorithm makes effective use of the memory hierarchy, uses additional word level parallelism, and largely avoids branch mispredi...

We present the bubble sorting algorithm using macro instructions such as the if-Macro (conditional branch macro instructions) and the TimesMacro (for-loop macro instructions) etc. The correctness proof of the program should include the proof of autonomic, halting and the correctness of the program result. In the three terms, we justify rigorously the correctness of the bubble sorting algorithm....

To minimize data movement, state-of-the-art parallel sorting algorithms use sampling and histogramming techniques to partition keys prior to redistribution. Samples enable partitioning to be done using representative subset of the keys, while histogramming enables evaluation and iterative improvement of a given partitioning. We introduce Histogram sort with sampling (HSS), which combines sampli...

The theory of serializability for concurrency control of databases has been extensively studied I: ESWA-76, STEA-76, BERN-79, PAPA-79, SETH-8 11. In this paper, we introduce a unifying concept in the theory, called disjoint-interval topological sort (DITS, for short), -and discuss its applications, including a number of new results. We prove that the existence of a DITS for the transaction IO g...