Explicit solutions for the response probability density function of nonlinear transformations of static random inputs

This work is the second paper of two companion ones. Both of them show the use of a new version of the Probabilistic Transformation Method (PTM) for finding the probability density function (pdf) of a limited number of response quantities in the transformations of static random inputs. This is made without performing multi-dimensional integrals of the response total joint pdf for saturating the non-interested variables. While in the first paper the linear transformations have been considered, in the present one some nonlinear systems are taken into account. In particular, first the case when the loads on a linear structural system are a nonlinear combination of static random inputs is studied. Then the attention is placed on the case of nonlinear structural systems, for which the new version of the PTM allows to determine approximated, but accurate, results.     

Fertility traits of purebred Holsteins and 2- and 3-breed crossbred heifers and cows obtained from Swedish Red,Montbéliarde,and Brown Swiss sires

The objective of this study was to compare fertility traits of heifers and primiparous cows from Swedish Red × Holstein (SR × HO; n = 634 and 581, respectively), Montbéliarde × Holstein (MO × HO; n = 126 and 114, respectively), Brown Swiss × Holstein (BS × HO; n = 59 and 50, respectively), and MO × (SR × HO) (n = 241 and 139, respectively) crossbreds, versus those of Holstein heifers and cows (HO; n = 3,483 and 2,549, respectively). Animals were born between 2007 and 2011, and belonged to 4 herds located in northern Italy. Heifers were compared for age at first service (AFS), age at first conception (AFC), interval between first service and conception (IFC), nonreturn rate at 56 d after first service (NR56), conception rate at first service (CR), and number of inseminations required for conception (INS). The same traits were evaluated in primiparous cows, except that AFS and AFC were replaced with days at first service (DFS) and days open (DO). The AFS, AFC, IFC, DFS, and DO traits were continuous variables and were thus analyzed under a proportional hazards Cox model that properly accounted for censoring among cows that were culled or failed to conceive. The NR56, CR, and INS traits were analyzed as binary traits using logistic regression. Our results indicated that, among heifers, SR × HO crossbreds had a better chance of having an earlier first service and conceiving earlier than HO, with hazard ratios (HR) of 1.31 for AFS and 1.34 for AFC. Similarly, MO × (SR × HO) crossbreds differed from HO heifers in this regard (HR = 1.18 and 1.24, respectively). For the primiparous cows, all crossbreds showed significant differences for DFS, DO, and IFC relative to purebred HO, with the exception of the BS × HO crossbreds. The MO × HO, SR × HO, and MO × (SR × HO) crossbred cows showed increased chances of having fewer DFS (HR = 1.40, 1.30, and 1.27, respectively), fewer DO (HR = 1.59, 1.43, and 1.58, respectively), and fewer IFC (HR = 1.52, 1.26, and 1.39, respectively) than HO cows. All crossbred genotypes, including BS × HO cows, showed higher probabilities for higher NR56, higher CR, and lower INS than purebred HO cows. Together, these findings indicate that the studied crossbred cows have higher reproductive potential than Holsteins.     

A Two-Stage Method for an Approximate Calculation of Statically Indeterminate Trusses

The paper presents the principles of a method, which in two simple stages makes possible to carry out the statically calculation of values of forces acting in the fiat static indeterminate trusses. In each stage, it is considered the static determinate truss, scheme of which is obtained after remove the suitable number of members from the basic static indeterminate truss. The both intermediate statically determinate trusses are of the same clear span and they are loaded by forces of half values applied to the corresponding truss nodes. The method applies one of the typical procedures of calculation of the statically determinate trusses and then it is applied in an appropriate way the rule of superposition for obtaining the final values of forces acting in particular members of the basic truss. The values of forces calculated in this way are of a very close approximation to the force values determined in the special and complex ways being considered as the exact calculation methods. The proposed method can be useful mostly but not only for the initial structural design of such systems. The simplicity of the two-stage method justifies an assumption that it can be relatively easy and worthy to adjust to the requirements of the computer aided technology of statically calculation of the complex forms of trusses.     

Introduction To Probability and Statistical Decision Theory

A nonparametric sequential rank correlation test for independence consisting of a generalized sequential probability ratio test is investigated through the Monte Carlo method. The test is found to be satisfactory in terms of the power function. Comparison of the expected sample size of the test and three other tests including the fixed sample size test suggests that the sequential rank test is also efficient.     

基于聚类分析的宇航元器件模糊综合评价

为确保宇航元器件应用的准确性，提出采用模糊综合评价的方法来实现对宇航元器件的有效评价。在调研数据的基础上，首次选用聚类分析方法对原始数据进行区分与摒除，保证了数据的可靠性，并结合宇航元器件评价的特点选用模糊综合评价作为主要的评价方法，最后以BXRA元器件为例进行了实证分析，结果表明了模糊综合评价方法在宇航元器件评价中的实用性。     

Validation of analytical methods for nuclear spent fuel reprocessing

For more than 50 years, CETAMA, the Commission for establishment of analytical methods from the French Alternative Energies and Atomic Energy Commission, has provided Certified Reference Materials and Interlaboratory Comparisons for the development and validation of analytical methods in the nuclear field. In the future, the nuclear spent fuel reprocessing industry will require new standards and methods to comply with high content plutonium fuel and new extraction solvents. These standards and methods will have to be fully validated in order to ensure the quality of the analytical results obtained by the laboratories.In this context, a new ²⁴²Pu reference material, certified for its isotopic composition, has been recently produced. A novel statistical approach for data processing has been used and has led to a certified value of 0.985459 ± 0.000052 for the n(²⁴²Pu)/n(Pu) atomic ratio. In addition, an interlaboratory comparison has also been organized for the validation of a method for the analysis of DMDOHEMA, and its degradation products. This compound is considered as a new extractant candidate in the frame of separation processes for transmutation of long-lived radionuclides. The methodology and results obtained in both cases are presented.     

逆作法施工技术在大型深基坑工程中的应用

针对处于特殊地质条件或建设环境以及城市密集区的地下工程施工特点,结合上海某深基坑工程典型实例,分析了逆作法施工技术在大型深基坑工程中的应用和发展。     

图形电镀夹膜修理方法

图形电镀已经是PCB制造加厚铜的主要方式,夹膜问题是此工艺流程的一大顽疾,本文为各位同仁介绍一种有效、简便、实用的修理夹膜的方法.     

Statistical Validation of Reproducibility of HPLC Peptide Mapping for the Identity of an Investigational Drug Compound Based on Principal Component Analysis

Peptide mapping is a key analytical method for studying the primary structure of proteins. The sensitivity of the peptide map to even the smallest change in the covalent structure of the protein makes it a valuable “fingerprint” for identity testing and process monitoring. We recently conducted a full method validation study of an optimized reverse-phase high-performance liquid chromatography (RP-HPLC) tryptic map of a therapeutic anti-CD4 monoclonal antibody. We have used this method routinely for over a year to test production lots for clinical trials and to support bioprocess development. One of the difficulties in the validation of the peptide mapping method is the lack of proper quantitative measures of its reproducibility. A reproducibility study may include method and system precision study, ruggedness study, and robustness study. In this paper, we discuss the use of principal component analysis (PCA) to quantitate peptide maps properly using its projected scores on the reduced dimensions. This approach allowed us not only to summarize the reproducibility study properly, but also to use the method as a diagnostic tool to investigate any troubles in the reproducibility validation process.     

The method of separation for evolutionary spectral density estimation of multi-variate and multi-dimensional non-stationary stochastic processes

The method of separation can be used as a non-parametric estimation technique, especially suitable for evolutionary spectral density functions of uniformly modulated and strongly narrow-band stochastic processes. The paper at hand provides a consistent derivation of method of separation based spectrum estimation for the general multi-variate and multi-dimensional case. The validity of the method is demonstrated by benchmark tests with uniformly modulated spectra, for which convergence to the analytical solution is demonstrated. The key advantage of the method of separation is the minimization of spectral dispersion due to optimum time- or space–frequency localization. This is illustrated by the calibration of multi-dimensional and multi-variate geometric imperfection models from strongly narrow-band measurements in I-beams and cylindrical shells. Finally, the application of the method of separation based estimates for the stochastic buckling analysis of the example structures is briefly discussed.