How Prime Numbers Are Interconnected and Built with Two Equations: Addition and Subtraction Rules the Function (6µ)

Are all prime numbers linked by four simple functions? Can we predict when a prime will appear in a sequence of primes? If we classify primes into two groups, Group 1 for all primes that appear before ζ (such that , for instance 5, ), an even number divisible by 3 and 2, and Group 2 for all primes that are after ζ (such that , for instance 7), then we find a simple function: for each prime in each group, , where n is any natural number. If we start a sequence of primes with 5 for Group 1 and 7 for Group 2, we can attribute a μ value for each prime. The μ value can be attributed to every prime greater than 7. Thus for Group 1, and . Using this formula, all the primes appear for , where μ is any natural number.

Nonclassicality and decoherence of the coherent superposition operation of photon subtraction and addition on the squeezed state

The statistical properties of m-coherent superposition operation（μa ＋ νa）^m on the single-mode squeezed vacuum state（M-SSVS） and its decoherence in a thermal environment are studied.Converting the M-SSVS to a squeezed Hermite polynomial excitation state,we obtain a compact expression for the normalization factor of M-SSVS,which is the Legendre polynomial of the squeezing parameter.We also derive the explicit expression of the Wigner function（WF） of the M-SSVS,and find the negative region of the WF in phase space.The decoherence effect on this state is then discussed by deriving the time evolution of the WF.Using the negativity of the WF,the loss of nonclassicality is then discussed.

The Treatment of Acne with the Addition and Subtraction of Loquat Qingfei Yin:A Meta-Analysis

Objective:To systematically evaluate the efficacy and safety of Loquat Qingfei Yin(LQFY)in the treatment of acne.Methods:Using computer retrieval,comprehensive collection of the full text database of Chinese journals till December 2020(CNKI),Wanfang Data Knowledge Service Platform(Wanfang),Viper Database(VIP),PubMed,Cochrane Library,Medline were included in the LQFY addition or subtraction treatment of acne randomized controlled trial(RCT).Screening of the literatures included in the Note Express 3.2.0.Assessment of the risk of bias in trials using Cochrane collaboration tools,and used Rev Man 5.3 to evaluate the curative effect.Results:25 RCT,all in Chinese,there were 2257 cases.Of the 1216 cases who were treated,control group was 1041 cases.A random effect model was used for Meta analysis.The results showed that the effective rate of the treatment group was significantly higher than that of the control group,Differences were statistically significant(P=0.94,I2==0%),RR=2.87,CI[2.25,95 per cent 3.67],P<0.00001.Conclusion:There are limited evidence that LQFY is safe and effective in treating acne.However,this conclusion needs to be confirmed by a more large-scale,multi-center,high-quality RCTs.

Calculate addition and subtraction in supply-front reform, and promote innovative development

On July 6,2016,China Textile Innovation Conference Shishi Forum was held in Shishi,Fujian,with the theme of'exploring innovative gene for textile products',focusing on the discussion of how to enhance the quality and efficiency of supply,how to activate and release effective demand;how to explore innovative gene for textile products from the nature of the product on the foundation of'ingenuity spirit',so as to boost reconstruction and

Subsurface Defect Evaluation of Selective-Laser-Melted Inconel 738LC Alloy Using Eddy Current Testing for Additive/Subtractive Hybrid Manufacturing

New materials and manufacturing technologies require applicable non-destructive techniques for quality assurance so as to achieve better performance.This study comprehensively investigated the effect of influencing factors includ-ing excitation frequency,lift-off distance,defect depth and size,residual heat,and surface roughness on the defect EC signals of an Inconel 738LC alloy produced by selective laser melting(SLM).The experimental investigations recorded the impedance amplitude and phase angle of EC signals for each defect to explore the feasibility of detecting sub-surface defects by merely analyzing these two key indicators.Overall,this study revealed preliminary qualitative and roughly quantitative relationships between influencing factors and corresponding EC signals,which provided a prac-tical reference on how to quantitively inspect subsurface defects using eddy current testing(ECT)on SLMed parts,and also made solid progress toward on-line ECT in additive/subtractive hybrid manufacturing(ASHM)for fabricating SLMed parts with enhanced quality and better performance.

Additivity rule for electron-molecule total cross section calculations at 50-5000 eV: a new geometrical approach

Taking into consideration the changes of the geometric shielding effect in a molecule as the energy of incident electrons varies, this paper presents an empirical fraction, which depends on the energy of incident electrons, the target＇s molecular dimension and the atomic and electronic numbers in the molecule. Using this empirical fraction, it proposes a new formulation of the additivity rule. Employing the new additivity rule, it calculates the total cross sections of electron scattering by C2H4, C6H6, C6H14 and C8H18 over the energy range from 50 to 5000eV. In order to exclude the calculation deviations caused by solving the radial Schrodinger equation of electron scattering by atoms, here the atomic cross sections are derived from the experimental total cross section results of simple molecules （H2, O2, CO） via the inversion algorithm. The quantitative total cross sections are compared with those obtained by experiments and other theories, and good agreement is obtained over a wide energy range, even at energy of several tens of eV.

Total cross sections for electron scattering from fluoromethanes:A revised additivity rule method

The additivity rule for electron-molecule scattering is revised by considering the difference between the free atom and the bound atom in the molecule. The total cross sections for electron scattering from fluoromethanes （CF4, CF3H, CF2H2, and CFH3） are calculated in an energy range from 100 eV to 1500 eV by the revised additivity rule. The present calculations are compared with the original additivity rule results and the available experimental data. Better agreement with each other is obtained.

A Novel Multilevel Inverter Employing Additive and Subtractive Topology

As the demand for high voltage, high power inverters are increasing and there is a problem of connecting a power semiconductor switch directly to a high voltage network. As a part of this the multilevel inverters had been introduced. As a part of this, several researches had been done for the development of multilevel inverters. The commercially available and extensively studied topologies for multilevel voltage output are Neutral Point Clamped (NPC), Cascaded Half Bridge (CHB) and Flying Capacitor (FC) converters. However, with these existing topologies, there is a significant increase in the number of power switches and passive components. Thus it leads to more complex control circuitry and overall cost of the system increase with increase in the output levels. In this paper, a novel multilevel inverter is proposed in which it employs additive and subtractive topology to get higher output levels. This approach significantly reduces the number of power switches needed as compared to existing topology. The present developed multilevel inverter can generate only five voltage levels. With this proposed topology the multilevel inverter can be modified to nine-level inverter. Moreover modified hybrid multicarrier Pulse Width Modulation (PWM) technique can be implemented in the proposed multilevel inverter in order to obtain uniform switch utilization and lower THD. An appropriate modulation scheme is presented and also the proposed concept is analyzed through simulation studies.

采用增减材复合制造技术的模具修复工艺研究

激光金属沉积增减材复合制造技术是实现模具等高附加值部件修复与再制造的理想候选工艺之一。为了提高模具修复的效率和精度,本文将增减材复合制造技术应用于模具修复领域,并且对修复工艺进行研究。首先根据具体使用工况和材料性能要求,确定了最佳模具修复参数,随后讨论了该模具修复工艺的应用条件和应用范围。实验结果表明:利用本文提出工艺方案进行模具修复时可以实现修复区域无拼接痕迹,并且修复区域硬度提升7.4 HRC,能够有效提升模具的使用性能。

电弧熔丝增材制造控形技术研究现状与展望

金属增材制造是制造强国战略下推动我国高端装备制造业转型升级的重点发展方向。电弧增材制造以其高沉积效率、低成本、可进行复杂结构直接成形等优势受到了广泛的关注。但增材过程中涉及的物理过程复杂,成形质量与精度面临很大挑战。针对电弧增材制造技术短流程、长周期的制造特征,讨论如何从热源上降低成形偏差、从过程上降低制造误差、从结果上改善成形精度,介绍了一系列创新的热源调制、过程控制与结果优化的方法策略,总结了现有技术存在的问题与面临的挑战,为如何进一步提升电弧增材过程的成形控制效果提出了几点思考。

叶轮零件增减材复合加工工艺规划及虚拟仿真加工研究

针对叶轮零件结构复杂、加工难度大等问题,对其结构及工艺特点进行分析,制定增减材复合加工工艺规划,并基于NX软件设计增材和减材加工的刀具轨迹,最后通过在VERICUT中构建的虚拟仿真系统对加工过程进行仿真,验证增减材复合加工工艺及NC程序的正确性。虚拟仿真加工结果表明,该方法可为复杂零件高效、高质量加工提供一种新的思路和参考。

糖尿病肾病患者以参芪地黄汤辨证加减治疗的预后质量分析

目的探讨糖尿病肾病患者以参芪地黄汤辨证加减治疗的预后质量。方法选取2023年1月—2024年1月济南市历城区中医医院诊治的75例糖尿病肾病患者为研究对象,根据不同治疗方法分为两组,对照组(38例)以盐酸贝那普利片+恩格列净片治疗;研究组(37例)在对照组基础上加用参芪地黄汤治疗。比较两组用药疗效、血糖、肾功能指标改变情况。结果研究组治疗有效率为91.89%(34/37),高于对照组的73.68%(28/38),差异有统计学意义(χ^(2)=4.337,P<0.05)。用药后,两组空腹血糖、餐后2 h血糖、糖化血红蛋白均较用药前降低,且研究组均低于对照组,差异有统计学意义(P均<0.05)。用药后,两组血肌酐、胱抑素C、血尿素氮、肾损伤分子-1均较用药前降低,且研究组均低于对照组,差异有统计学意义(P均<0.05)。结论糖尿病肾病以参芪地黄汤进行辨证治疗,对血糖、肾功能的调控效果更理想,可强化临床整体治疗效果。

止血组方加减治疗功能失调性子宫出血患者的效果及对性激素水平的影响

目的:探讨止血组方加减治疗功能失调性子宫出血(DUB)患者的效果及对性激素水平的影响。方法:选择2021年9月~2022年9月来本院就诊的DUB患者150例进行研究,用随机数表法将患者分两组各75例。对照组给予妈富隆治疗,观察组给予止血组方加减治疗。治疗3个月经周期,比较两组疗效,记录治疗前后月经量、子宫内膜厚度、血红蛋白及性激素[(雌二醇(E_(2))、孕酮(P)、促卵泡生产数(FSH)、促黄体生成素(LH)]水平变化,并统计患者不良反应。结果:观察组的总有效率(93.33%)高于对照组(77.33,P<0.05);治疗后,两组的月经量、子宫内膜厚度均降低,且观察组低于对照组,而血红蛋白升高,观察组高于对照组(P<0.05);治疗后,两组的E2、P水平升高,观察组高于对照组,而FSH、LH将治疗前降低,观察组低于对照组(P<0.05);观察组不良反应发生率为4.00%,明显低于对照组(17.33%,P<0.05)。结论:止血组方加减治疗DUB效果理想,可有效调节性激素水平,加速病情优化,具有较高的用药安全性,可在临床推广运用。

颧骨颧弓区射频溶脂辅助吸脂联合局部脂肪填充行面部轮廓重塑

目的:探讨在面部审美设计基础上采用颧骨、颧弓区域射频溶脂联合吸脂在面部轮廓塑形中的重要作用。方法:2021年1月-2022年1月,笔者对76例颧骨及颧弓区域明显凸起的女性就医者,首先进行面部审美设计,用“先吸脂后填充”的方式,即先用射频设备对颧骨及颧弓区域皮下脂肪进行溶脂操作,随后进行脂肪抽吸,最后对额部、中面部、颞区、颊区凹陷进行多部位的脂肪填充。结果:本组76例就医者,颧骨及颧弓区域吸脂量(5.5±2.4)ml,其中71例行一次填充术,5例行二次填充术,就医者满意率达90.7%,所有患者均未发生严重并发症。结论:在面部审美设计的基础上,颧骨及颧弓区域明显凸起者,可利用面部“加减法”技术联合局部射频溶脂处理,进行面部轮廓塑形,满意率高,并发症发生率低,临床上可借鉴。

基于UG软件刀路仿真设计的叶轮增减材制造工艺研究

为了研究增减材复合制造技术在叶轮等工业零件加工制造中的应用,通过使用UG/NX软件建立模型并定义每个加工特征,同时编制了增材与三种减材的刀轨轨迹路径,并优化了切削参数。采用五轴激光沉积增材/高速减材复合制造设备进行了试验验证。结果表明,结合增材制造和减材制造的优势,显著提高了零件的表面质量、加工效率和综合性能。未进行面铣加工的叶片表面粗糙,经过面铣和型腔铣削加工后的叶片表面光洁度显著提高,内部型腔的表面质量亦明显改善。增减材复合加工不仅提高了零件的表面质量,还有效提升了加工效率和材料利用率,降低了生产成本。证明了增减材复合加工技术在复杂零件制造中的巨大潜力,为高质量工业零件的生产提供了可靠的技术途径,为增减材复合制造技术领域提供参考。

济川煎加减结合穴位埋线治疗对老年功能性便秘临床疗效、症状积分及复发率的影响

目的:分析济川煎加减结合穴位埋线治疗对老年功能性便秘临床疗效、症状积分及复发率的影响。方法:选取2020年7月~2023年1月本院治疗的老年功能性便秘患者122例,根据治疗手段分为对照组61例(济川煎加减治疗)、观察组61例(济川煎加减+穴位埋线)。两组均持续治疗1个月后,比较两组临床疗效、症状积分、完全自主排便次数(CSBMs)、血清肠神经递质水平[血管活性肠肽(VIP)、5-羟色胺(5-HT)]、血清水平[P物质(SP)、一氧化氮(NO)]安全性及复发率。结果:观察组总疗效率高于对照组(P<0.05)。两组治疗后,排便频率、粪便性状、排便费力程度、腹胀及腹痛症候积分均下降,但观察组排便频率、粪便性状、排便费力程度、腹胀及腹痛症候积分下降幅度更大(P<0.05)。两组治疗后,CSBMs均增加,且观察组CSBMs多于对照组(P<0.05)。观察组VIP水平低于对照组;5-HT水平高于对照组(P<0.05)。两组治疗后,血清SP水平均上升,NO水平均下降,且观察组SP、NO水平分别高、低于对照组(P<0.05)。3个月后,观察组复发率低于对照组(P<0.05)。结论:老年功能性便秘应用济川煎加减结合穴位埋线治疗疗效较为显著,对降低症状积分、复发率具有优势,且能进一步改善肠道功能,为老年功能性便秘治疗提供一定新思路。

2319铝合金电弧增材制造归一化评价

为了对2319铝合金电弧增材制造构件各项指标做出定量化分析,拟合出不同工艺参数、试样孔隙率与抗拉强度值之间的空间曲面表达式,构建电弧增材制造“工艺-组织-性能”对应法则。基于广义模糊合成运算法则,建立工艺参数、组织缺陷和力学性能之间的归一化模糊评定模型,获取2319铝合金电弧增材制造最优工艺参数。结果表明:随着送丝速度增加,孔隙率基本呈上升趋势;随着扫描速度的降低,孔隙率基本呈下降的趋势。当扫描速度为0.035 m/s时,孔隙率与抗拉强度的关联性最低,拟合曲线的决定系数(coefficient of determination,COD)仅为0.6。当送丝速度为5.0 m/min且扫描速度为0.025 m/s时,专家综合评分值最高,说明该工艺参数组合最优。

气阴两虚型消渴病痹症应用补阳还五汤加减治疗的临床效果

目的探讨应用补阳还五汤加减治疗气阴两虚型消渴病痹症的临床价值。方法单纯随机选取2021年4月—2023年4月潍坊市中医院收治的80例气阴两虚型消渴病痹症患者为研究对象,按照不同治疗方法分为对照组、观察组,每组40例。对照组行针灸治疗,观察组在对照组基础上采用补阳还五汤加减治疗,对比两组患者的中医证候评分、糖尿病周围神经病变程度、治疗有效率以及神经传导速度。结果治疗后,观察组中医证候评分较对照组更低,两组患者的中医证候评分较用药前均更低,差异有统计学意义(P均<0.05)。治疗后,观察组密歇根州糖尿病周围神经病变评分(Michigan Diabetic Neuropathy Score,MDNS)较对照组更低,两组患者的MDNS评分较治疗前均更低,差异有统计学意义(P均<0.05)。治疗后,观察组的正中神经、腓总神经的运动传导速度(motor nerve conduction velocity,MNCV)与感觉传导速度(sensory nerve conduction ve-locity,SNCV)较对照组均更高,两组患者的正中神经、腓总神经的MNCV、SNCV较治疗前均更高,差异有统计学意义(P均<0.05)。观察组的治疗总有效率[100.00%(40/40)]较对照组[85.00%(34/40)]更高,差异有统计学意义(χ^(2)=4.505,P=0.034)。结论在气阴两虚型消渴病痹症的治疗中,可选择中药方补阳还五汤加减治疗,临床效果显著,可改善神经传导速度,提高疗效。

一种应用于椭圆曲线密码的双域模加减运算的优化设计

椭圆曲线密码算法由于其安全特性被广泛应用于各种领域,当前支持多协议和多域的ECC算法成为研究的热点。围绕素数域和二元域下的ECC算法展开研究,对双域模加减运算进行了优化设计。针对素数域模加减运算中加法器计算延时较大的问题,设计素数域的模加和模减运算使用同一个运算通路,使用进位保留加法器和加法器组合对电路结构进行优化,缩短素数域模加减运算时间。