Factorial regular representation of groups in complete graphs

A necessary and sufficient condition for the group of isomorphisms involved in a factorization of a complete graph into isomorphic factors is established.     

A theoretical analysis of modulation noise and dc erased noise in magnetic recording

The modulation noise and the special case, dc erased noise in magnetic recording are discussed theoretically, taking account of two main causes at the same stage, i.e. the magnetic properties such as the inhomogeneous distribution of the particles on the tape, and the mechanical properties such as the head-to-tape space variations arising from the tape surface roughness. We derive the signal as well as the noise power spectrum of the induced voltage at the read head. This is done by generalizing the theory of the signal behaviour. The theoretical result turned out to agree quite well with the experimental one. The modulation noise power spectrum can be interpreted to consist of two parts, i.e. the steep peak due to the mechanical causes near the recorded signal wavenumber and the broad peak due to magnetic causes.Nomenclature A(k) variable defined by(Km_av L _g L _d)² - d head-to-tape spacing [m] - d _av average value ofd [m] - d variance ofd [m] - D variable defined by (8) - e(t) induced voltage at the read head [V] - g gap length [m] - H the Karlqvist head field excited by a current uniti [A/m] - i a curren unit [A] - j –1 - k=¦k¦ wavenumber [m^–1] - k _c wavenumber of recorded signal [m^–1] - K constant which includes the number of turn of head, the read head efficiency and the permeability ₀[Vs/Am] - l _d correlation length of the variationd [m] - l _m correlation length of the variationm [m] - L _d (k) spacing loss defined by exp(–kd_av) - L _g (k) gap loss defined by sin(gk/2)/(gk/2) - M magnetization of the tape [A/m] - M variable defined by (8) - m amplitude of the magnetization of the signal pattern [A/m] - m _av average value ofm [A/m] - m variance ofd [A/m] - P(k) power spectrum [V²/Hz] - P _dc(k) noise power spectrum [V²/Hz] - S signal pattern of the tape - v relative velocity between the head and the tape [m/s] - x _t =(x _t ,y_t) coordinate on the tape - (x ₀,y₀) coordinate fixed on the read head - (x ₁,y₁) coordinate defined by (10) - tape thickness [m] - _d random phase variable defined by (8) - _m random phase variable defined by (8) - _O permeability [Vs/Am] - read-head detected flux [Wb]     

On bounds for the range of ordered variates II

Letx ₁, ,x _n be real numbers with ₁ ⁿ x _j =0, |x ₁ ||x ₂ ||x _n |, and ₁ ⁿ f(|x _i |)=A>0, wheref is a continuous, strictly increasing function on [0, ) withf(0)=0. Using a generalized Chebycheff inequality (or directly) it is easy to see that an upper bound for |x _m | isf ^–1 (A/(n–m+1)). If (n–m+1) is even, this bound is best possible, but not otherwise. Best upper bounds are obtained in case (n–m+1) is odd provided either (i)f is strictly convex on [0, ), or (ii)f is strictly concave on [0, ). Explicit best bounds are given as examples of (i) and (ii), namely the casesf(x)=x ^p forp>1 and 0<p<1 respectively.     

Production and Purification of Pectinase from Bacillus subtilis 15A-B92 and Its Biotechnological Applications

Enzymes that degrade pectin are called pectinases. Pectinases of microbial origin are used in juice clarification as the process is cost-effective. This study screened a pectinase-producing bacterium isolated from soil and identified as Bacillus subtilis 15A B-92 based on the 16S rRNA molecular technique. The purified pectinase from the isolate showed 99.6 U/mg specific activity and 11.6-fold purity. The molecular weight of the purified bacterial pectinase was 14.41 ± 1 kD. Optimum pectinase activity was found at pH 4.5 and 50 °C, and the enzyme was 100% stable for 3.5 h in these conditions. No enzymatic inhibition or activation effect was seen with Fe²⁺, Ca²⁺, or Mg²⁺. However, a slight inhibition was seen with Cu²⁺, Mn²⁺, and Zn²⁺. Tween 20 and 80 slightly inhibited the pectinase, whereas iodoacetic acid (IAA), ethylenediaminetetraacetate (EDTA), urea, and sodium dodecyl sulfate (SDS) showed potent inhibition. The bacterial pectinase degraded citrus pectin (100%); however, it was inactive in the presence of galactose. With citrus pectin as the substrate, the Km and Vmax were calculated as 1.72 mg/mL and 1609 U/g, respectively. The high affinity of pectinase for its substrate makes the process cost-effective when utilized in food industries. The obtained pectinase was able to clarify orange and apple juices, justifying its application in the food industry.     

An Encryption Algorithm for Region of Interest in Medical DICOM Based on One-Dimensional eλ-cos-cot Map

Today, with the rapid development of the Internet, improving image security becomes more and more important. To improve image encryption efficiency, a novel region of interest (ROI) encryption algorithm based on a chaotic system was proposed. First, a new 1D eλ-cos-cot (1D-ECC) with better chaotic performance than the traditional chaotic system is proposed. Second, the chaotic system is used to generate a plaintext-relate keystream based on the label information of a medical image DICOM (Digital Imaging and Communications in Medicine) file, the medical image is segmented using an adaptive threshold, and the segmented region of interest is encrypted. The encryption process is divided into two stages: scrambling and diffusion. In the scrambling stage, helical scanning and index scrambling are combined to scramble. In the diffusion stage, two-dimensional bi-directional diffusion is adopted, that is, the image is bi-directionally diffused row by column to make image security better. The algorithm offers good encryption speed and security performance, according to simulation results and security analysis.     

Effect of Different Processing Methods on the Chemical Constituents of Scrophulariae Radix as Revealed by 2D NMR-Based Metabolomics

Scrophulariae Radix (SR) is one of the oldest and most frequently used Chinese herbs for oriental medicine in China. Before clinical use, the SR should be processed using different methods after harvest, such as steaming, “sweating”, and traditional fire-drying. In order to investigate the difference in chemical constituents using different processing methods, the two-dimensional (2D) ¹H-¹³C heteronuclear single quantum correlation (¹H-¹³C HSQC)-based metabolomics approach was applied to extensively characterize the difference in the chemical components in the extracts of SR processed using different processing methods. In total, 20 compounds were identified as potential chemical markers that changed significantly with different steaming durations. Seven compounds can be used as potential chemical markers to differentiate processing by sweating, hot-air drying, and steaming for 4 h. These findings could elucidate the change of chemical constituents of the processed SR and provide a guide for the processing. In addition, our protocol may represent a general approach to characterizing chemical compounds of traditional Chinese medicine (TCM) and therefore might be considered as a promising approach to exploring the scientific basis of traditional processing of TCM.     

创新导向减税与就业结构升级—基于研发费用加计扣除的检验

创新在中国经济社会发展中的作用愈发突出,如何促进高技能劳动力向创新主体部门集聚,值得深入探索。基于2018年企业所得税研发费用加计扣除比例提升冲击,利用A股上市公司2016−2019年数据,本文研究了创新导向减税对就业结构的影响。研究发现,加计扣除比例提升显著提高了企业雇佣劳动力中研究生所占比例,促进了企业创新人力资本积累。异质性分析显示,政策在非公有制企业、主板上市企业中效果更明显。对企业各层次雇佣规模的评估表明,雇佣总量及研究生、本科生雇佣数均有所提高,同时本科以下学历人员并未明显减少,这意味着政策未产生明显的挤出效应,高技能劳动力雇佣的增加并不以低技能劳动力的减少为代价。综合来看,政策不但能促进企业加大研发投入,还有助于提高全要素生产率和盈利水平。本文结论为通过实施结构性减税,推动创新驱动发展提供了经验支撑。     

Obituary: Professor Dr.-Ing. Justus Mühlenpfordt

Abstract

The dose-dependent isotope fractionation during decarboxylation (¹³C/¹²C) amplifies the radiation effect in the relatively low dose range. The fractionation of the nitrogen isotopes during deamination (¹⁵N/¹⁴N) at the dose of 17 Gy was found to be smaller than that of decarboxylation.     

Stickstoffisotopenanalysen an Pyrimidinderivaten mittles Protonenresonanz

Die in hochaufgelösten Protonenresonanzspektren von ¹⁵N-markierten Pyrimidinderivaten infolge der indirekten Spin-Spin-Kopplung zwischen ¹⁵N und dem um zwei Bindungen entfernten Proton auftretenden Aufspaltungen liefern Aussagen über den Ort der Markierung im Pyrimidinring. Quantitative Angaben über die relative Häufigkeiten von ¹⁵N in diesen Positionen werden unter Verwendung der Rechentechnik erhalten. Die Ergebnisse über die relative Häufigkeiten von ¹⁵N im gesamten Molekül stimmen gut mit den massenspektrometrischen Werten überein.     

Füllstandsmessung mit Streustrahlungssonden

Es wird die Abhängigkeit der Impulsdichte vom Füllstand bei Meßanordnungen mit γ-Streustrahlungssonden verschiedener Länge untersucht. Verwendet werden die Nuklide ⁶⁰Co und ¹³⁷Cs. Ein nahezu linearer Anstieg der Impulsdichte mit dem Füllstand wird bei Füllgütern kleiner Ordnungszahl nur bei Sondenlängen L ≥ μ₀ ^?1.erzielt. Der Einfluß des Schüttwinkels und der Dichte des Füllgutes wird diskutiert.