A famous algorithm is the Fast Fourier Transform, or FFT. An efficient iterative version of the FFT algorithm performs as a first step a bit-reversal permutation of the input list. The bit-reversal permutation swaps elements whose indices have binary representations that are the reverse of each

A famous algorithm is the Fast Fourier Transform, or FFT. An ecient iterative version of the FFT algorithm performs as a rst step a bit-reversal permutation of the input list. The bit-reversal permutation swaps elements whose indices have binary representations that are the reverse of each other

and reversals occur in (sufficiently) low numbers in comparison with the characters that identify edges of the tree (a more precise formulation is given by the lemma given in section (a) of the appendix). The main problem with such simple criteria is that they are very unlikely to be satisfied for most real

with binary labels, ROC optimization, AUC criterion, tree-based ranking rules, bootstrap, bagging, rank aggregation, median procedure, feature randomization. hal-00452577, version 1- 2 Feb 2010

Macro forest transducers (mfts) extend macro tree transducers (mtts) from ranked to unranked trees. Mfts are more powerful than mtts (operating on binary tree encodings) because they support sequence concatenation of output trees as build-in operation. Surprisingly, inverse type inference for mfts

circuits in quantum walk on sparse graphs, and the well-known MCNC benchmarks. Keywords-Lookup tables; Logic synthesis; Reversible circuits; Shor’s quantum number-factoring algorithm; Binary welded tree.

One of the pressing open problems of computational systems biology is the elucidation of the topology of genetic regulatory networks (GRNs) using high throughput genomic data, in particular microarray gene expression data. The Dialogue for Reverse Engineering Assessments and Methods (DREAM

to different channels, including binary erasure channels, binary symmetric channels, binary additive white Gaussian noise channels, etc. This paper generalizes density evolution for non-symmetric memoryless channels, which in turn broadens the applications to general memoryless channels, e.g. z

We study highly expressive query languages for unordered data trees, using as formal vehicles Active XML and extensions of languages in the while family. All languages may be seen as adding some form of control on top of a set of basic pattern queries. The results highlight the impact and interplay

of the multiplier, which can implement the multiplication of two 5-bit binary signed numbers. Simulation and evaluation results indicate that the multiplier logic structure is correct with excellent performance. Key words: Parity preserving reversible gate, fault tolerant, five variables parity preserving gate (F2