A new sorting algorithm is presented. Its running time is O(n(1+10g(F/n)) where F = I{(f,j); i < j and xi < xj}1 is the total number of inversions in the input sequence xn xn_1 xn_2 ... x2 xl· In other words, presorted sequences are sorted quickly, and completely unsorted sequences are sorted in O(n log n) steps. Note that F < n2/2 always. Furthermore, the constant of proportionality is fairly ...

The inverse of Fedou’s insertion-shift bijection is used to deduce a general form for the q-exponential generating function for permutations by consecutive patterns (overlaps allowed) and inversion number from a result due to Jackson and Goulden for enumerating words by distinguished factors. Explicit q-exponential generating functions are then derived for permutations by the consecutive patter...

CONTEXT Posterior calf stretching is believed to improve active ankle dorsiflexion range of motion (AADFROM) after acute ankle-inversion sprain. OBJECTIVE To describe AADFROM at baseline (postinjury) and at 2-wk time periods for 6 wk after acute inversion sprain. DESIGN Randomized trial. SETTING Sports clinic. PARTICIPANTS 11 men and 11 women (age range 11-54 y) with acute inversion spr...

The imitation of spoken stop consonants by an articulatory synthesizer using only general learning principles addresses significant issues in speech inversion and speech acquisition. Stop consonants are relatively large, complex acoustic events resulting from discrete articulations, so inversion based on the use of small time windows or based on the minimisation of average articulatory error ac...

High-resolution infrared spectra from aircraft and space-based observations contain information about tropospheric carbon monoxide (CO) as well as other trace species. A methodology for retrieving tropospheric CO from such remotely sensed spectral data has been developed for the National Polar-Orbiting Operational Environmental Satellite System's Airborne Sounder Testbed-Interferometer (NAST-I)...

Time-lapse seismic data is used to monitor subsurface changes occurring between consecutive surveys. One way to look at the differences is to create images from each survey and simply subtract them to obtain a difference. It is possible to model image differences directly from the slowness change between two surveys: this leads to a forward modeling operator that essentially performs differenti...

air pollution is one of the most important problems in urban areas that always threaten citizen's health. photochemical smog is one of the main factors of air pollution in large cities like tehran. usually smog is not only a part of nature, but is being analyzed as an independent matter, which highly affects on the nature. it has been used as relationship between atmospheric elements such as te...

The purpose of this investigation was to determine the effect of different types of ankle sprains on the response latency of the peroneus longus and peroneus brevis to an inversion perturbation, as well as the time to complete the perturbation (time to maximum inversion). To create a forced inversion moment of the ankle, an outer sole with fulcrum was used to cause 25 degrees of inversion at th...