A critical case of Rallis inner product formula

Letπbe a genuine cuspidal representation of the metaplectic group of rank n.We consider the theta lifts to the orthogonal group associated to a quadratic space of dimension 2n+1.We show a case of regularised Rallis inner product formula that relates the pairing of theta lifts to the central value of the Langlands L-function ofπtwisted by a character.The bulk of this paper focuses on proving a case of regularised Siegel-Weil formula,on which the Rallis inner product formula is based and whose proof is missing in the literature.

A Survey on Occurrence of Melamine and Its Analogues in Tainted Infant Formula in China

Objective To investigate the occurrence and concentrations of melamine and its analogues in tainted infant formula and to identify the etiologic factors for the urinary stones epidemic in infants and young children in China in 2008. Methods Sanlu infant formula samples were collected from families of the affected children in Gansu province, and markets in Gansu and Hebei provinces and Beijing city. Melamine and its analogues, including cyanuric acid, ammeline, and ammelide were measured by gas chromatography/tandem mass spectrometry. Results High prevalence and concentrations of melamine were found in Sanlu infant formula samples, with low concentrations of cyanuric acid, ammeline and ammelide. Melamine were detected in 87 out of 111 Sanlu infant formula samples with a range of 118 to 4 700 mg/kg, Conclusion The results provide strong evidence for melamine as the etiological factor for the urinary stones epidemic in infants and young children in China in 2008.

A Construction That Produces Wallis-Type Formulas

Generalizations of the geometric construction that repeatedly attaches rectangles to a square, originally given by Myerson, are presented. The initial square is replaced with a rectangle, and also the dimensionality of the construction is increased. By selecting values for the various parameters, such as the lengths of the sides of the original rectangle or rectangular box in dimensions more than two and their relationships to the size of the attached rectangles or rectangular boxes, some interesting formulas are found. Examples are Wallis-type infinite-product formulas for the areas of p-circles with p > 1.

A New Approach for Machine Gauge &Production Calculation of Various Kinds of Rib and Interlock Knitted Fabric Structure

Various types of rib and interlock fabrics found in the market depend on their structure such as 1 × 1 rib, 2 × 1 rib, 2 × 2 rib, 3 × 1 rib, 3 × 2 rib, 4 × 1 rib, 4 × 4 rib and 1 × 1 interlock, 2 × 2 interlock etc. These all types of fabric can be possible to knit in circular knitting machine after machine setting. When these fabrics are knit on the machine, some needles are needed to drop or withdrawn from needle groove according to their design such as 1 × 1, 2 × 1, 2 × 2 etc. Due to needle dropping or withdrawing production per hour will changed as production per hour directly depends on the No. of active needle. No. of needle or active needle depends on machine gauge. This paper gives a new approach for machine gauge which is somewhat different from other thinking. This paper also shows the production calculation formula with their machine setting for various rib and interlock fabric with their derivation. By this paper, one can easily understood about machine gauge and calculated production of any type of rib and interlock knitted structure. Complexity of calculating production can be reduced by this paper.

Formation permeability evaluation and productivity prediction based on mobility from pressure measurement while drilling

Based on the measurement mechanism of mobility in pressure measurement while drilling, through analyzing a large number of mobility data, it is found that under the condition of water-based mud drilling, the product of mobility from pressure measurement while drilling and the viscosity of mud filtrate is infinitely close to the water phase permeability under the residual oil in relative permeability experiment. Based on this, a method converting the mobility from pressure measurement while drilling to core permeability is proposed, and the permeability based on Timur formula has been established. Application of this method in Penglai 19-9 oilfield of Bohai Sea shows:(1) Compared with the permeability calculated by the model of adjacent oilfields, the permeability calculated by this model is more consistent with the permeability calculated by core analysis.(2) Based on the new model, the correlation between the calculated mobility of well logging and the actual drilling specific productivity index bas been established. Compared with the relationship established by using the permeability model of an adjacent oilfield, the correlation of the new model is better.(3) Productivity of four directional wells was predicted, and the prediction results are in good agreement with the actual production after drilling.

Unifying the theory of integration within normal-,Weyl- and antinormal-ordering of operators and the s-ordered operator expansion formula of density operators

By introducing the s-parameterized generalized Wigner operator into phase-space quantum mechanics we invent the technique of integration within s-ordered product of operators （which considers normally ordered, antinormally ordered and Weyl ordered product of operators as its special cases）. The s-ordered operator expansion （denoted by s…s ） formula of density operators is derived, which isρ=2/1-s∫d^2β/π〈-β｜ρ｜β〉sexp{2/s-1（s｜β｜^2-β＊α＋βa-αα）}s The s-parameterized quantization scheme is thus completely established.

卷烟配方模块价值计量分析模型研究

针对传统配方模块质量评价方法存在主观性、盲目性等缺点,以及其所造成的配方模块质量与其实际生产、使用存在较大偏差,提出了一种基于历史生产数据的配方模块价值计算方案,挖掘由配方模块实际使用情况衡量配方模块价值与配方模块质量的关系,以该方案计算结果作为表征配方模块综合质量的指标,并运用BP神经网络算法和统计分析方法验证计算结果的合理性。结果表明,感官指标(香气、烟气、味感、香型)与档次显著正相关,化学指标(烟碱CV、糖碱比)与档次无显著相关性,档次作为配方模块质量的评估方案太过主观。而配方模块价值与感官指标、化学指标均显著相关,说明配方模块价值是结合了主观指标与客观指标的综合体现,因此更适合用来代表配方模块的质量;配方模块价值计算方案充分考虑了卷烟实际生产运作的特点,更加贴合生产实际,能够更好地为卷烟配方模块的生产和使用提供指导。

即食金鲳鱼干生产工艺研究

以金鲳鱼为主要原料制备即食金鲳鱼干,以感官评分为指标,在单因素试验和预试验的基础上通过正交试验优化调味配方和调味生产工艺,并对产品的理化指标、微生物及主要风味成分进行测定。结果表明:以金鲳鱼肉质量为基准,最佳调味配方为食盐添加量8%、麻辣粉添加量11%、味精添加量2.5%、白糖添加量5%、白酒与鱼肉液料比25:1(mL/kg);最佳调味生产工艺为鱼肉与调味液料液比1:3(g/mL)、腌制温度25℃、腌制时间2h;在此条件下生产的即食金鲳鱼干的理化指标和微生物指标均符合相关标准,主要挥发性成分为硫化物、醇类和芳香化合物。

滇黄精酸奶的配方优化及品质评价

以奶粉、滇黄精膏、蔗糖为主要原料,发酵研制滇黄精酸奶。通过感官审评、单因素实验结合响应面试验,优化得到滇黄精酸奶的最佳配方。此外,以优化后的配方制备酸奶,比较滇黄精酸奶与原味酸奶(未添加滇黄精)的理化指标、微生物指标及抗氧化能力。结果表明,滇黄精酸奶的最佳配方为滇黄精膏添加量1.5%,蔗糖添加量10%,发酵剂添加量0.02%。滇黄精酸奶口感细腻,酸甜比适中,带有清淡的滇黄精风味,感官评分为87.62分。各项理化指标和微生物指标均符合国家标准。抗氧化能力与质构分析表明,与原味酸奶相比,添加滇黄精膏显著提升了酸奶的抗氧化能力与稳定性。微观结构分析表明,滇黄精膏与乳蛋白紧密结合,形成了结构致密的乳凝胶,改善了酸奶的黏度值。综上,复配滇黄精膏开发了一种功能酸奶,具有一定的市场价值。

考虑启动压力的非牛顿幂律流体产能计算新方法

针对现有稠油油藏非牛顿幂律流体的产能计算方法缺乏实用性的问题,基于非牛顿幂律流体的产能公式,考虑非牛顿幂律流体特性和启动压力梯度,建立了稠油油藏产能计算新方法。根据幂律流体径向稳定渗流模型建立定向井产量模型,结合Joshi水平井产能公式,利用儒柯夫斯基变换将平面椭圆流变换为平面径向流,并根据水电相似原理的等值渗流阻力法,推导建立了考虑启动压力梯度的非牛顿幂律流体的水平井产能新公式。矿场应用表明,新方法计算结果与现场实际生产结果对比,误差均小于10%,在允许误差范围内,满足生产需求,具有较好的实用性。新方法为同类型油藏的产能评价提供了一定的技术借鉴。

3-PUU并联机构运动副间隙耦合误差特性分析

并联机构运动副间隙直接影响机构的运动精度,导致末端输出特性产生差异。为了探究并联机构运动副耦合特性对末端输出精度的影响,以3-PUU并联机构为研究对象,设置运动副间隙误差为0.05、0.1、0.15、0.2 mm,利用单开链-局部指数积公式法对其进行耦合误差建模,从理论上推导运动副耦合特性与末端输出精度之间的关系,采用MATLAB对运动副耦合误差进行仿真分析,并制作样机进行试验。结果表明:当并联机构不同支链运动副存在误差时,机构末端沿x轴位置偏差随机构运动时间和关节间隙误差的增大呈现波动且伴随拐点和曲线分离;y轴位置偏差波动较大,在运动中轨迹拐点、折点和分离点相继出现,运动不平稳且超出运动空间,当并联机构双支链运动副误差为0.2 mm时,超工作空间达到-5.31 mm;机构末端沿z轴的位置偏差随着运动时间和关节间隙的增大呈现轨迹相互交错,与仿真分析一致。

响应面法优化无锡酱排骨制作工艺

以猪肋排为原料,加入多种配料后经煮制得到无锡酱排骨。以感官评分为指标,通过单因素试验和响应面试验构建Box-Behnken多元回归模型,对无锡酱排骨制作工艺进行优化,得到无锡酱排骨的最佳制作工艺配方为:猪肋排500 g,水1500 g,南乳红烧汁102 g,大豆油50 g,小葱30 g,白砂糖31 g,姜15 g,腌料5 g,桂皮0.7 g,八角0.7 g,红曲红0.3 g,香叶0.2 g,加热时间60 min,采用此工艺制作的产品感官评分为92.8分,脂肪含量为13.45 g/100 g,蛋白质含量为23.26 g/100 g。该研究成果可为无锡酱排骨的工艺优化及相关预制菜的工业化生产提供理论参考。

关于空间向量外积的教学思考

空间向量的外积是解析几何教学的难点.这篇文章首先证明外积的代数定义与几何定义等价,然后给出不依赖坐标系选取的双重外积公式证明.这种方法揭示了公式的发现过程,希望对教学有帮助.

夹心海苔副产物高值化制备冲调粉

该研究以夹心海苔碎料副产物粉为主料,藕粉、大米粉、燕麦粉、炒米粉为辅料,开发夹心海苔副产物冲调粉产品。结果表明,夹心海苔副产物冲调粉的最优配方为夹心海苔副产物粉52.5 g、藕粉添加量20 g、大米粉添加量10 g、燕麦粉添加量10 g、炒米粉添加量7.5 g。该冲调粉的适宜冲调参数为冲调水温100℃、料液比1∶10(g/mL)(冲调粉/水)。利用最优配方制备的冲调粉感官品质高,色泽均匀,冲调后清香味纯正、甜淡适中、口感细腻、流动性好。与市售黄豆冲调粉和黑豆冲调粉相比,该冲调粉在水中的分散性更优,冲调后的稳定性更高,冲调后能够耐受更高的离心力作用而不分层、沉淀。

“口诀法”记忆提升“服装工艺制作”课程学习效率分析

在“服装工艺制作”课程中,学生经常面临记忆困难,因此,需要寻找有效的记忆方法,以提高学习效率。有效的记忆方法可以帮助学生更好地掌握知识和技能,基于此,文章分析记忆方法在学习中的重要性,介绍“口诀法”记忆的理论基础和优势,结合实际教学案例,说明在“服装工艺制作”课程中应用“口诀法”记忆的具体方法和效果,通过与传统教学方法的对比,验证“口诀法”记忆在提高学生记忆效果和学习效率方面的优势,证明“口诀法”记忆在“服装工艺制作”课程中对于提升学生学习效率的有效性。

母婴源益生菌的研究与开发进展

益生菌对人体有多种健康益处,在食品行业中的应用较为广泛。益生菌对婴幼儿健康具有明显的改善效果,在婴幼儿配方产品中备受青睐。母婴源益生菌在促进婴幼儿免疫发育、预防和治疗结肠炎、缓解婴儿肠绞痛以及预防婴儿反流等方面效果显著,有助于推动婴幼儿配方产品向多元化、高质量化的方向发展,以满足消费者对婴幼儿产品的需求。

新西兰乳制品法规标准监管体系及其借鉴意义

新西兰是一个畜牧业极为发达的国家,其乳制品畅销全球,有着很好的声誉。这是因为新西兰不仅有丰富的原料乳资源,而且极其重视乳制品的安全管理。新西兰通过制定一系列标准法规,从牧草种植、饲料加工、奶牛养殖、生乳管理到乳制品生产加工的各个环节加强控制,从而保障乳制品的安全。本文介绍新西兰乳制品基本监管情况和贸易情况,并分析新西兰乳品行业创新技术对我国的借鉴意义。

CCM法膜电极设备用热转移橡胶压辊的研制

以内-外套筒特殊双重结构为辊芯,硅橡胶为基胶,采用辊芯、界面粘合层、过渡底胶层和功能面胶层结构,通过金属辊体表面处理、混炼、成型、硫化和车磨等工艺,制备了CCM法膜电极设备用热转移橡胶压辊。结果表明,该橡胶压辊能满足CCM膜电极制造热转移工艺要求。

高分子预铺防水卷材主体材料拉伸强度影响因素探讨

通过试验分析探讨了主体材料配方及生产工艺参数(模具模口开度、三辊温度、三辊机与模具间距、挤出速度与三辊速度差等)对P类高分子预铺防水卷材主体材料拉伸强度的影响。在本研究范围内,主体材料配方中适量引入茂金属聚乙烯、模具模口开度设为0.90 mm、三辊温度选择方案3、三辊机与模具间距为12 cm、挤出速度与三辊机速度差为13%时可制得性价比良好的0.90 mm厚高分子预铺防水卷材主体材料聚乙烯片材。

基于输出转矩的同轴式磁齿轮设计

同轴式磁齿轮以极高的转矩密度成为机械齿轮的最佳替代。针对同轴式磁齿轮产业化过程中缺乏设计理论的现状,本文提出了基于输出转矩的磁齿轮设计公式。首先,依据输出转矩随各主要设计参数的环比增长率变化规律确定了不同尺寸系列磁齿轮的最佳尺寸值;其次,明确了最大磁能积、调磁环内径平方等与输出转矩间的线性变化关系;最后,通过分析输出转矩随调磁环内径平方变化的斜率、截距受永磁体极对数的影响规律,得到了基于永磁体最大磁能积、气隙系数、气隙长度、漏磁系数、调磁环内径和外磁环永磁体极对数的磁齿轮设计公式。三维有限元仿真算例表明该公式误差不大于5%,三种不同尺寸系列的样机转矩试验也表明该公式计算误差具有较高的精度。基于输出转矩的设计理论可极大地缩短磁齿轮设计周期。