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1
Content available remote Fractional integral inequalities for composite and k-composite preinvex functions
EN
In this article we found some Ostrowski inequalities for composite and k-composite preinvex functions via fractional integrals. Also some special cases will be given.
EN
In this paper an analysis is carried out to examine the effects of natural convection heat transfer for steady boundary layer flow of an Eyring Powell fluid flowing through a vertical circular cylinder. The governing partial differential equations along with the boundary conditions are reduced to dimensionless form by using the boundary layer approximation and applying suitable similarity transformations. The resulting nonlinear coupled system of ordinary differential equations subject to the appropriate boundary conditions is solved using the analytic technique homotopy analysis method (HAM). The effects of the physical parameters on the flow and heat transfer characteristics are presented. The behavior of skinfriction coefficient and Nusselt numbers are also studied for different parameters.
3
Content available remote Computing a Longest Common Palindromic Subsequence
EN
The longest common subsequence (LCS) problem is a classic and well-studied problem in computer science. Palindrome is a word which reads the same forward as it does backward. The longest common palindromic subsequence (LCPS) problem is a variant of the classic LCS problem which finds a longest common subsequence between two given strings such that the computed subsequence is also a palindrome. In this paper, we study the LCPS problem and give two novel algorithms to solve it. To the best of our knowledge, this is the first attempt to study and solve this problem.
EN
A new technique is proposed to estimate the frequency and amplitude of baseline wander in ECG signals. The estimation has been performed in two stages. In the first stage, a QRS detector detects R peaks and signal samples between consecutive R peaks are passed through a weighted average adaptive filter. The cut-off frequency and order of the filter depends upon the time domain characteristics of the input samples and is automatically updated for each RR interval. In the second stage, Lomb’s periodogram is utilized to analyse the frequency response of the resultant unevenly sampled time series for estimating the baseline frequencies. These frequencies are then used to demodulate the signal for estimation of respective amplitudes. Results have been obtained using synthetic ECG signals with artificially introduced baseline wander containing single or multiple frequencies. The performance of the technique is evaluated by extracting baseline wander through three standard techniques and comparing the estimation errors.
PL
W artykule opisano propozycje estymatora częstotliwosci i amplitudy wahań osi podstawy dla sygnałów w badaniu EKG. Estymacja przebiega w dwóch etapach. Najpierw detektor QRS wykrywa impulsy R, a próbki sygnałów poddawane są filtracji w filtrze adaptacyjnym. W drugim kroku, korzystając z periodogramu Lomb’a, analizowana jest odpowiedź częstotliwosciowa będąca w postaci nierównomiernie pobieranych próbek. Tym sposobem uzyskuje się estymację częstotliwości odniesienia. Działanie algorytmu poddano weryfikacji na bazie symulowanych sygnałów EKG i porównano z trzema standardowymi technikami.
EN
Phytochemical investigations of the whole plant of Stachys parviflora (Lamiaceae) resulted in the isolation of a new acylated flavone glycoside. The structure of the new compound, named stachyfloroside E, was established as 6,8-dihydroxy-2-(4',5'-dihydroxy)-7[-6-O-acetyl-_-Dgalactopyranosyl( 1--2)-beta-D-glucopyranosyl)oxy]-4H-1-benzopyran (1). The structure elucidation of the new compound was based primarily on 1D and 2D NMR analysis, including COSY, HMBC and HMQC correlations.
EN
Two new trans-clerodane diterpenoids pro vi sion ally named as limbatolide F (1) and limbatolide G (2) were isolated from the chloroform extract of Otostegia limbata. Both compounds 1 and 2 have a unique feature of C-4/C-6 five membered a,b-un saturated lactone. The structures of these new compounds as well as their relative configurations were determined by 1D and 2D NMR techniques including COSY, HMQC, HMBC, NOESY and NOE experiments.
EN
Phytochemical investigations of the fruits of Stocksia brauhica (Sapindaceae) resulted in the isolation of a new acylated flavone glycoside. The structure of the new compound brauhenefloroside C (1) was established as 7-[(6-O-(2E-3-(4-hydroxyphenyl)- 1-oxo-2-propenyl)-beta-D-glucopyranosyl)]-(1_2)-[(6-deoxy- alfa-L-mannopyranosyl)]-( 1_3)-[(6-deoxy-alfa -L-mannopyranosyl]-oxy)-5-hydroxy-2-(4'-hydroxy-phenyl)- 4H-1-benzopyran. The structure elucidation of the new compound was based primarily on 1D and 2D NMR analysis, including COSY, 2D J-resolved, HMBC and HMQC correlations.
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