Tang Methods Research Articles

Comment on ‘Generation of cluster-type entangled coherent states’

We rectify some errors in the scheme of generating cluster-type entangled coherent states (CTECS) proposed by Tang (2009 J. Phys. B: At. Mol. Opt. Phys. 42 085502) in this comment. Furthermore, we find that no system can successfully generate CTECS by Tang's method.

Synthesis, characterization, and thermal degradation kinetics of the copolymer poly(4‐methoxybenzyl methacrylate‐co‐isobornyl methacrylate)

AbstractA copolymer of 4‐methoxybenzyl methacrylate and isobornyl methacrylate was synthesized by atom transfer radical polymerization. The structure of poly(4‐methoxybenzyl methacrylate‐co‐isobornyl methacrylate) was confirmed by means of Fourier transform infrared, 1H‐NMR, and 13C‐NMR techniques. The molecular weight distribution values of the copolymer were determined with gel permeation chromatography. The number‐average molecular weight and polydispersity index values of poly(4‐methoxybenzyl methacrylate‐co‐isobornyl methacrylate) were found to be 12,500 and 1.5, respectively. The kinetics of the thermal degradation of the copolymer was investigated with thermogravimetric analysis at different heating rates. The activation energy values obtained with the Kissinger, Flynn–Wall–Ozawa, and Tang methods were determined to be 166.38, 167.54, and 167.47 kJ/mol, respectively. Different integral and differential methods were used, and the results were compared with these values. Doyle approximation was also used for comparing the experimental results to master plots. An analysis of the experimental results suggested that the reaction mechanism was an R1 deceleration type in the conversion range studied. © 2009 Wiley Periodicals, Inc. J Appl Polym Sci, 2010

Thermal decomposition kinetics of poly(nButMA‐b‐St) diblock copolymer synthesized by ATRP

AbstractThe reaction mechanism of decomposition process and the kinetic parameters of the poly(n‐butyl methacrylate‐b‐styrene), poly(nButMA‐b‐St), diblock copolymer synthesized by atom transfer radical polymerization (ATRP) were investigated by thermogravimetric analysis (TGA) at different heating rates. TGA curves showed that the thermal decomposition occurred in one stage. The apparent activation energies of thermal decomposition for copolymer, as determined by the Kissinger's, Flynn–Wall–Ozawa and Tang methods, which does not require knowledge of the reaction mechanism (RM), were 112.52, 116.54, and 113.41 kJ/mol, respectively. The experimental results were compared with master plots, in the range of the Doyle approximation. Analysis of experimental results suggests that in the conversion range studied, 3–18%, the actual RM is an A2 sigmoidal type. © 2009 Wiley Periodicals, Inc. J Appl Polym Sci, 2009

The influence of CaCO3 filler component on thermal decomposition process of PP/LDPE/DAP ternary blend

Polypropylene-low density polyethylene (PP-LDPE) blends involving PP-LDPE (90/10 wt%.) with (0.06 wt%) dialkyl peroxide (DAP) and different amounts (5, 10, 20 wt%) of calcium carbonate (CaCO3) were prepared by melt-blending with a single-screw extruder. The effect of addition of CaCO3 on thermal decomposition process and kinetic parameters, such as activation energy and pre-exponential factor of PP-LDPE blend with DAP matrix, was studied. The kinetics of the thermal degradation of composites was investigated by thermogravimetric analysis in dynamic nitrogen atmosphere at different heating rates. TG curves showed that the thermal decomposition of composites occurred in one weight-loss stage. The apparent activation energies of thermal decomposition for composites, as determined by the Tang method (TM), the Kissinger–Akahira–Sunose method (KAS), the Flynn–Wall–Ozawa method (FWO), and the Coats–Redfern (CR) method were 156.6, 156.0, 159.8, and 167.7 kJ.mol−1 for the thermal decomposition of composite with 5 wt% CaCO3, 191.5, 190.8, 193.1, and 196.8 kJ.mol−1 for the thermal decomposition of composite with 10 wt% CaCO3, and 206.3, 206.1, 207.5, and 203.8 kJ mol−1 for the thermal decomposition of composite with 20 wt% CaCO3, respectively. The most likely decomposition process for weight-loss stages of composites with CaCO3 content 5 and 10 wt% was an An sigmoidal type. However, the most likely decomposition process for composite with CaCO3 content 20 wt% was an Rn contracted geometry shape type in terms of the CR and master plots results. It was also found that the thermal stability, activation energy, and thermal decomposition process were changed with the increase in the CaCO3 filler weight in composite structure. Copyright © 2009 John Wiley & Sons, Ltd.

Model-fitting and model-free analysis of thermal decomposition of palladium acetylacetonate [Pd(acac)2

The non-isothermal decomposition process of the powder sample of palladium acetylacetonate [Pd(acac)2] was investigated by thermogravimetric (TG) and the X-ray diffraction (XRD) techniques. Model-free isoconversional method of Tang, applied to the investigated decomposition process, yield practically constant apparent activation energy in the range of 0.05≤α≤0.95. It was established, that the Coats-Redfern (CR) method gives several statistically equivalent reaction models, but only for the phase-boundary reaction models (R2 and R3), the calculated value of the apparent activation energy (E) is nearest to the values of E obtained by the Tang’s and Kissinger’s methods.

Some results on 4 m 2 n designs with clear two-factor interaction components

Clear effects criterion is one of the important rules for selecting optimal fractional factorial designs, and it has become an active research issue in recent years. Tang et al. derived upper and lower bounds on the maximum number of clear two-factor interactions (2fi’s) in 2n−(n−k) fractional factorial designs of resolutions III and IV by constructing a 2n−(n−k) design for given k, which are only restricted for the symmetrical case. This paper proposes and studies the clear effects problem for the asymmetrical case. It improves the construction method of Tang et al. for 2n−(n−k) designs with resolution III and derives the upper and lower bounds on the maximum number of clear two-factor interaction components (2fic’s) in 4m2n designs with resolutions III and IV. The lower bounds are achieved by constructing specific designs. Comparisons show that the number of clear 2fic’s in the resulting design attains its maximum number in many cases, which reveals that the construction methods are satisfactory when they are used to construct 4m2n designs under the clear effects criterion.

Synthesis, characterization, and thermal degradation kinetics of poly(decamethylene 2‐oxoglutarate)

AbstractPoly(decamethylene 2‐oxoglutarate) [poly (DMOG)] was synthesized by a melt polycondensation reaction. The structure of poly(DMOG) was confirmed by means of Fourier transform infrared, 1H‐NMR, and 13C NMR spectroscopies. The molecular weight distribution values of poly(DMOG) were determined with size exclusion chromatography. The number‐average molecular weight, weight‐average molecular weight, and polydispersity index values of poly(DMOG) were found to be 13,200, 19,000, and 1.439, respectively. Also, characterization was made by thermogravimetry (TG)–dynamic thermal analysis. The kinetics of the thermal degradation of poly (DMOG) was investigated by thermogravimetric analysis at different heating rates. TG curves showed that the thermal decomposition of poly(DMOG) occurred in one stage. The apparent activation energies of thermal decomposition for poly(DMOG), as determined by the Tang method, the Flynn–Wall–Ozawa method, the Kissinger–Akahira–Sunose method, and the Coats–Redfern method were 122.5, 126.8, 121.4, and 122.9 kJ/mol, respectively. The mechanism function and pre‐exponential factor were also determined by the master plots method. © 2008 Wiley Periodicals, Inc. J Appl Polym Sci, 2008

SYNTHESIS, CHARACTERIZATION AND THERMAL DEGRADATION KINETICS OF POLY(IMINO ISOPHTHALOYL IMINO (2,4,8,10-TETRAOKSOASPIRO [5,5] UNDEKAN-3,9-DIPROPYLENE))

A new polymer, poly(imino isophthaloyl imino (2,4,8,10-tetraoksoaspiro [5,5] undekan-3,9-dipropylene)) [poly(IPIT)] was synthesized by an interfacial polycondensation reaction. The characterization of poly(IPIT) was conducted by using FT-IR, 13C-NMR, TG and DTA techniques. The kinetics of the thermal degradation of poly(IPIT) was investigated by thermogravimetric analysis at different heating rates. TG curves showed that the thermal decomposition of poly(IPIT) occurred in three stages. The apparent activation energies of thermal decomposition for poly(IPIT), as determined by the Tang method (TM), the Flynn-Wall-Ozawa method (FWO) and the Kissinger-Akahira-Sunose method (KAS) are 58.09, 57.7 and 61.0 kJ/mol for the first stage decomposition, 106.1, 105.6 and 109.8 kJ/mol for the second stage decomposition, and 138.1, 137.5 and 141.4 kJ/mol for the third stage decomposition, respectively.

Biomechanical Evaluation of a Four-Strand Modification of the Tang Method of Tendon Repair

We report a four-strand modification of the Tang technique of tendon repair that uses fewer sutures and fewer knots on the tendon surface. This repair consists of four longitudinal and two horizontal strands that form a "U" configuration within the tendon made with a single looped suture. Thirty-four fresh pig flexor tendons were divided into 3 groups and repaired with the four-strand modified Tang method, a double-looped four-strand method or a double Kessler repair (four-strand). The tendons were subjected to a single cycle of load-to-failure test in a tensile testing machine. The initial force, 2-mm gap formation force and ultimate strength of the four-strand modified Tang repair were statistically identical to those of the double looped suture and were superior to those of the double Kessler repair. Ultimate strength was 43.4+/-4.3N for the four-strand modified Tang method, 45.2+/-4.0N for the double-looped method and 39.1+/-4.0N for the double Kessler repair. The four-strand modification of the Tang method appears to have strength sufficient for protected active finger motion. Given our preliminary clinical experience with this method, we recommend this new and simplified technique for clinical flexor tendon repairs.

Biomechanical Analysis of A Modification of Tang Method of Tendon Repair

We report a modification of the original Tang technique of tendon repair which uses fewer sutures and has fewer knots on the tendon surface. The modified method consists of six longitudinal and two horizontal strands that form an “M” configuration within the tendon and four dorsal longitudinal strands made with a single looped suture. Thirty-six fresh pig flexor tendons were divided and repaired with either the modified Tang or the Tang method. The tendons were subjected to linear or 90° angular loading in an Instron tensile machine. The gap formation strength and ultimate strength of the modified Tang repair was statistically identical to those of the Tang method under linear tension. Under angular tension, the ultimate strength of the modified Tang method was greater than that of the Tang method.

DORSAL-ENHANCED SUTURES IMPROVE TENSION RESISTANCE OF TENDON REPAIR

Thirty-six fresh pig flexor tendons were repaired using either the modified Kessler method or the Tang method. Nine tendons from each group were tested in an Instron tensile testing machine with the tendons passing 90° around a pulley. The other nine tendons from each group were pulled linearly by the testing machine. The 2 mm gap formation force of the tendons repaired with the modified Kessler and Tang methods and pulled at 90° were 64%±5% and 79%±9% respectively of those forces recorded during linear testing. The ultimate strengths of tendons repaired by the modified Kessler and Tang methods and pulled at 90° were 76%±6% and 81%±8% respectively of the forces measured during linear testing. The percentage gap formation and ultimate strength of the Tang method was significantly higher than that of the modified Kessler suture when the tendons were pulled around a pulley. This demonstrates that the Tang suture, with its main components in the dorsal part of the repaired tendon, has greater tension resistance capacity than conventional tendon sutures which are placed in the middle of the tendon. This study suggests that dorsally-enhanced multiple tendon sutures are better placed to sustain the tension generated during active finger flexion.

On the assessment of tolerance limits under inverse gaussian distribution

Inverse Gaussian distribution has been used in a wide range of applications in modeling duration and failure phenomena. In these applications, one-sided lower tolerance limits are employed, for instance, for designing safety limits of medical devices. Tang and Chang (1994) proposed lowersided tolerance limits via Bonferroni inequality when parameters in the inverse Gaussian distribution are unknown. However, their simulation results showed conservative coverage probabilities, and consequently larger interval width. In their paper, they also proposed an alternative to construct lesser conservative limits. But simulation results yielded unsatisfactory coverage probabilities in many cases. In this article, the exact lower-sided tolerance limit is proposed. The proposed limit has a similar form to that of the confidence interval for mean under inverse Gaussian. The comparison between the proposed limit and Tang and Chang's method is compared via extensive Monte Carlo simulations. Simulation results suggest that the proposed limit is superior to Tang and Chang's method in terms of narrower interval width and approximate to nominal level of coverage probability. Similar argument can be applied to the formulation of two-sided tolerance limits. A summary and conclusion of the proposed limits is included.

On the Li and Tang's isoconversional method for kinetic analysis of solid-state reactions from thermoanalytical data

A criterion for the reaction mechanism as expressed by differential conversion function based on the Li and Tang's isoconversional method is suggested. The suitability of the use of Li and Tang's method for the estimation of a conversion dependent activation energy is discussed.

Coding of Run-Length-Limited Sequences

We suggest a method of enumerative block encoding for sequences with constrained length of a run of zeros. Though the algorithm obtained coincides in form with the classical Bahl–Tang method, its application is extended to sequences with a wider class of constraints. We obtain recursion formulas for bit weights.

A biomechanical study of Tang's multiple locking techniques for flexor tendon repair

This study was designed to biomechanically compare Tang's multiple looped locking techniques with various suture techniques for flexor tendon repair in the hand. Fifty flexor digitorum profondus tendons taken from pig toes were used as models; The tendons were transected in the middle part of zone 2 defined as the area beneath bifurcation of the flexor digitorum superficialis tendons, and were repaired by five different suture methods: (1) modified Kessler, (2) Tsuge's suture, (3) double Kessler, (4) modified Kessler plus Tsuge, and (5) Tang's suture. The repaired tendons were placed in an Instron tensile testing machine to determine the tensile properties of the repair. 2 mm gap formation force and ultimate tensile strength were measured during the test. Maximal work to failure were calculated according to area under the load-displacement curve of the test. 2 mm gap formation force was 21.5 N for the Kessler, 20.6 N for the Tsuge, 31.6 N for double Kessler, 30.9 N for the Kessler plus Tsuge and 41.4 N for the Tang. Ultimate tensile strength was 23.5 N for the Kessler, 22.9 N for the Tsuge, 34.5 N for the Kessler plus Tsuge and 45.6 N for the Tang. Statistically, Tang's suture had the greatest gap formation force, ultimate strength and energy for failure among the five techniques (p < 0.01 or p < 0.001). Gap formation force, ultimate strength and energy to failure for double Kessler or the Kessler plus Tsuge were significantly greater than those for the Kessler or the Tsuge (p < 0.05 or < 0.01). The tendons repaired by Tang's method tolerated a significantly higher tensile load (133 to 198% of the other techniques) than the other methods. Among the methods tested, Tang's multiple looped locking suture provides sufficient gap resistance and tensile strength that may be able to withstand early active mobilization after primary flexor tendon repair.

Catalytic Determination of Iron by a Fixed-Time Method Using the Oxidation Reaction of Chlorpromazine with Hydrogen Peroxide.

hydrogen peroxide reaction. The detection limit of the method is 0.5 µg 1-1 iron, and therefore achieves a l0-fold increase in sensitivity over the tan a method. The proposed method has been successfully applied to the determination of the total iron in tap- and ground-water samples; the iron concentration in the ground water was <5 µg 1-1, and could not be determined by means of the tang method. Experimental

An adaptive filter for steady-state evoked responses

A 2-weight adaptive filter that determines the amplitude and phase of steady-state evoked potentials is presented. Reference signals are derived from the visual stimulator that are related to corresponding harmonics of the response and the filter weights are adjusted so as to minimize the squared estimation error between the reference and the recorded signal using the recursive least squares (RLS) method. The filter, which acts as an adaptive bandpass filter, is followed by a detector based on the T circ 2 statistic. The performance of the RLS adaptive filter was compared to that of the conventional Discrete Fourier Transform (DFT) and the filtered DFT of Tang and Norcia in a series of simulations with known sinusoids buried in Gaussian noise and in EEG noise. In the simulations, the RLS adaptive filter detected signals at about 3–4 times lower signal to noise ratios than did the DFT. The RLS filter also outperformed the filtered DFT. Qualitatively similar results were obtained with human visual evoked potential recordings. The adaptive RLS filter significantly outperforms both the DFT and filtered DFT and is much simpler to implement than the filtered DFT method of Tang and Norcia.

Theory of quasiperiodic lattices. II. Generic trace map and invariant surface.

The generic trace map is established for binary quasiperiodic lattices represented by any irrational number. This is a generalization of the renormalization-group method of Kohmoto, Kadanoff, and Tang (KKT) for the Fibonacci lattice. All the trace maps for any quasiperiodic lattice preserve the same invariant surface first discovered by KKT. There is a special set of points on the invariant surface, which we call the invariant six-cycle. These are fixed points of the trace maps. We are able to obtain representations of the trace maps or scaling transformations on the invariant six-cycle. This enables us to determine the periods of the trace maps, which are very important in order to know the scaling property of the electronic wave function and energy spectrum at the band center.

The interaction potential and diffusion coefficients of sodium in neon

We have calculated the ground state potential energy curve of the Na-Ne interaction using the method of Tang and Toennies. It is the sum of the SCF repulsion and the properly damped dispersion energies. The spectroscopically determined well location is used to select the leading dispersion coefficients between its upper and lower bounds. The resulting potential is compared with previous experimental and theoretical potentials. Diffusion coefficients are calculated from the present as well as previous potentials. Compared with experiment, results from the present potential are in best agreement.

Reaction mechanism of 21S dynein ATPase from sea urchin sperm. I. Kinetic properties in the steady state.

21S Dynein ATPase [EC 3.6.1.3] from axonemes of a Japanese sea urchin, Pseudocentrotus depressus, and its subunit fractions were studied to determine their kinetic properties in the steady state, using [gamma-32P]ATP at various concentrations, 5 mM divalent cations, and 20 mM imidazole at pH 7.0 and 0 degrees C. The following results were obtained. 1. 21S Dynein had a latent ATPase activity of about 0.63 mumol Pi/(mg . min) in 1 mM ATP, 100 mM KCl, 4 mM MgSO4, 0.5 mM EDTA, and 30 mM Tris-HCl at pH 8.0 and 25 degrees C. Its exposure to 0.1% Triton X-100 for 5 min at 25 degrees C induced an increase in the ATPase activity to about 3.75 mumol Pi/(mg . min) and treatment at 40 degrees C for 5 min also induced a similar activation. 2. The double-reciprocal plot for the ATPase activity of dynein activated by the treatment at 40 degrees C consisted of two straight lines, while that of nonactivated 21S dynein fitted a single straight line. 3. In low ionic strength solution, the Mg- and Mn-ATPase of 21S dynein showed substrate inhibition at ATP concentrations above 0.1 mM; the inhibition decreased with increasing ionic strength. Ca- and Sr-ATPase showed no substrate inhibition. 4. Both the Vmax and Km values of dynein ATPase decreased reversibly upon addition of about 40% (v/v) glycerol. In the presence of glycerol, the dynein ATPase showed an initial burst of Pi liberation. The apparent Pi-burst size was 1.0 mol/(10(6) g protein) and the true size was calculated to be 1.6 mol/1,250 K after correcting for the effect of Pi liberation in the steady state and the purity of our preparation. 5. One of the subunit fractions of 21S dynein which was obtained by the method of Tang et al. showed substrate inhibition and an initial burst of Pi liberation of 1.4 mol/(10(6) g protein) in the presence of 54% (v/v) glycerol.