Further comments on ‘Comments on “On an estimate of the decay rate for stable linear delay systems”’

It is pointed out by a simple counterexample that the theorem derived in the above note is erroneous.     

Number of positive eigenvalues of the solution to the discrete Lyapunov matrix equation

It is known that the discrete Lyapunov matrix equation has a positive semidefinite symmetric solution under an appropriate condition. This note proves the fact that the number of positive eigenvalues of the solution is equal to the rank of the controllability matrix formed from the coefficient matrices.     

Convergence property of interval matrices and interval polynomials

In association with robust control-system design and analysis, the Hurwitz property of interval matrices and interval polynomials has recently been actively investigated. However, its discrete counterpart, the convergence property, has seemingly not been much discussed. In this paper, this property is studied in comparison with the Hurwitz counterpart. Some conditions under which interval matrices or interval polynomials are convergent are derived.     

Window functions obtained by convolution integrals of rectangular windows

The rectangular, triangular, and Parzen windows, which have been defined independently of each other, are obtained by repeating convolution integrals of the rectangular window with itself. They are extended to make a series of window functions. This series has the advantage that the sidelobe fall-off is variable though it has the disadvantage that the mainlobe band-width for the same highest sidelobe level is 1–1·3 times those of the gaussian, Kaiser, Dolph–Chebyshev or Blackman–Harris windows. Moreover, this series has a desirable mainlobe bandwidth of 0·85–1 times that of cos^x x windows for the same highest sidelobe level and sidelobe fall-off. Thus, this series is useful in designing window functions whose mainlobe bandwidth is in between that of the gaussian or Kaiser windows and that of cos^x x windows and whose sidelobe fall-off is as good as that of the cos^x x windows.     

P53蛋白的原核表达及纯化

目的构建P53基因重组原核表达质粒,在大肠杆菌中表达融合蛋白并进行纯化。方法以pBabe-P53R质粒为模板,PCR扩增P53基因全序列,克隆至pGEX-4T-1载体中,构建重组原核表达质粒pGEX-4T-1-P53,转化大肠杆菌BL21(DE3),IPTG诱导表达。表达产物经不同配比的去垢剂复性后,用GlutathioneSepharose4Bgel亲和层析纯化。结果重组原核表达质粒pGEX-4T-1-P53经双酶切鉴定,表明构建正确。表达的GST-P53融合蛋白相对分子质量约80000,IPTG诱导时间以1h为宜。1%TritonX-100和1mmol/LEDTA为蛋白复性的最佳去垢剂。纯化的GST-P53融合蛋白可与羊抗人GST抗体和鼠抗人P53抗体发生特异性反应。500ml菌液可获得1mg纯化蛋白。结论已成功构建了P53基因重组原核表达质粒,表达并纯化了GST-P53融合蛋白,为研究NIRF与P53基因之间的相互关系奠定了基础。     

配煤对降低高灰熔融性煤的三元相图分析

采用2种低灰熔融性温度煤对一种高灰熔融性温度煤进行配煤降低煤灰熔融性温度的研究。依据相平衡理论分析了配煤降低高灰熔融性温度煤的熔融特性。研究表明:配煤可以有效的降低高灰熔融性温度煤的灰熔融性温度,其灰熔融性温度变化并不与配煤比例成线性关系,而与相应的三元相图液相线温度具有很好的相似性,三元相图同样适用于混煤灰的熔融特性研究。在相图的三元低温共晶点和二元共晶线附近灰的熔融温度随灰成分的变化比较显著,且低于周围灰成分的灰熔融性温度,相图理论可以很好的对配煤降低高灰熔融性温度煤的灰熔融性温度进行理论分析。     

SAFETY EXAMINATION OF SOME EDIBLE OR MEDICINAL PLANTS AND PLANT CONSTITUENTS, PART 3

The carcinogenicity of vicia, galanga, lathyrus and lycium, which are plants used as human food or in folk medicine, and of caffeic acid and prunasin, which are plant constituents, was examined in an inbred strain of ACI rats. Fresh plant materials were dried, milled and mixed with the rat basal diet in the ratio of 16% and 33% of the total. The plant constituents, caffeic acid and prunasin, were mixed with the basal diet in the ratio of 0.5% and 0.03%, respectively. These diets were administered to rats for periods ranging upward from 180 days. Carcinogenic activity was not observed with any of the plants or plant constituents.     

Deformation behaviors of magnesium alloy AZ31 sheet in cold deep drawing

To investigate how the popular magnesium alloy AZ31 sheet （aluminum 3%, zinc 1%） behaves in cold working, deep drawing experiments at room temperature, along with finite element（FE） simulation, were performed on the cold forming sheet of the AZ31 alloy after being annealed under various conditions. The activities were focused on the fracture pattern, limit drawing ratio（LDR）, deformation load, thickness distribution, anisotropic effect, as well as the influences of the annealing conditions and tool configuration on them. The results display that punch shoulder radius instead of die clearance, has much influence on the thickness distribution. The anisotropy is remarkable in cold working, which adversely impacts the LDR. The fracture often happens on the side wall at an angle to axis of the deformed specimen. The results also imply that the LDR for the material under present experimental conditions is 1.72, and annealing the material at 450 ℃ for 1 h may be preferable for the cold deep drawing.     

High Precision On‐Line Offset Correction for Motor Angle Sensors

In this paper, an angle detecting system is proposed that calculates the offset correction values for the sine and cosine signals of angle sensors. The offset correction values are calculated not from the offset errors of the sine and cosine signals but from the 1f angle error (the fundamental frequency component of the sine and cosine signals) of the angle signals. Therefore, the system can correct the 1f angle error even when the sine and cosine signals contain the double‐frequency components of the sine and cosine signals, as well as the dc offset errors. Moreover, it is possible to use low‐cost microcomputers with low computing speed, because the offset correction values are dc quantities.     

Formation of Anthocyanins from Cells Cultured from Different Parts of Strawberry Plants

Anthocyanin formation and structural identification were investigated in the cultured strawberry, Fragaria unannssa cv Shikinari. Friable callus tissues were obtained from apical meristems, leafs, and petioles grown on LS agar medium with 2,4-dichlorophenoxyacetic acid and benzyladenine. Using these calli, effects of auxins and cell inoculum size on pigment production were studied in suspension culture. Anthocyanin was produced under 8000 lux after preculture for 3 wk under 800 Iux in suspension culture. The main extracted pigment was identified as a peonidin-3-glucoside and the second major pigment was a cyanidin-3-glucoside by FABMS and NMR. Anthocyanin production was stimulated by 2,4-dichlorophenoxyacetic acid and its yield was about three times that of indole-3-acetic acid. An inoculum rate of 2g (fresh weight)/100 mL LS medium resulted in highest pigment production. The callus derived from the leaf was much higher in anthocyanin production than the others tissues of strawberry.