Uncertainty budget

不确定性预算
  • 文章类型: Journal Article
    报道了一种简便的NMR方法,用于分析氮的电化学还原中的氨,它比较了校准的比色法,校准的1HNMR方法和使用外部参考材料的两个1HNMR直接测量。与分光光度法不同,1HNMR需要较少的工作时间并且不需要从电解质中分离氨。一种解决NMR测量中辐射阻尼问题的新颖方法考虑了硬件调谐的特定作用。抑制了辐射阻尼,提高了信噪比和检测极限(1.5µgL-1)。证明该方法可有效地分析KOH中直接电化学氮还原产生的氨,以及在非水溶液中锂介导的氮还原。为氨的测量准备了不确定度预算。
    A facile NMR method is reported for analysis of ammonia from the electrochemical reduction of nitrogen, which compares a calibrated colorimetric method, a calibrated 1H NMR method and two 1H NMR direct measurements using external reference materials. Unlike spectrophotometric methods, 1H NMR requires less bench time and does not require separation of ammonia from the electrolyte. A novel approach to the problem of radiation damping in NMR measurements considered the specific role of hardware tuning. Radiation damping is suppressed improving signal-to-noise ratio and detection limit (1.5 µg L-1). The method is demonstrated to be effective for the analysis of ammonia from direct electrochemical nitrogen reduction in KOH, and from lithium-mediated nitrogen reduction in a non-aqueous solution. An uncertainty budget is prepared for the measurement of ammonia.
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  • 文章类型: Journal Article
    描述并测试了使用LSQ方法评估高分辨率光谱仪对伽马射线发射器进行活性测量的检测极限的计量一致程序。作为评估的投入,除了光谱通道的测量内容,峰值分析的结果,即,指示及其不确定性,使用。将感兴趣的光谱区域展开为与代表指示及其背景的峰值相对应的分量,使我们能够考虑不确定性预算,描述指示的不确定性和相应峰的形状,使得在决策阈值的计算中包括这些不确定性来源成为可能。为了评估检测极限,指示的方差是根据指示本身计算的,同时考虑转换因子的相对不确定性。观察到的指示的方差由指示的二阶多项式近似,从而可以通过分析计算检测极限。使用代表指示的峰的经验确定的光谱形状在测量的光谱上测试该方法。示出了如何在决策阈值的计算中使用根据经验确定的接近表示指示的峰的孤立的和表现的峰的形状,以及与表示指示的峰重叠的峰的存在如何影响决策阈值和检测极限。解释说,除了计数统计之外,由代表指示的峰的形状引起的不确定性的来源也有助于决策阈值。然而,将检测限提高到决策阈值以上,除了计数统计,只有转换因子的不确定性有贡献。表明,在存在指示的情况下,决策阈值和检测极限可用于量化观测值和被测对象的真实值与预定量值之间的比较,以产生第一类和第二类错误的概率。建议将决策阈值和检测极限应用于合格评定。
    A metrologically consistent procedure for assessing the detection limits of activity measurements for gamma-ray emitters with high-resolution spectrometers using the LSQ method is described and tested. As the input to the assessment, besides the measured contents of the spectral channels, the results of the peak analysis, i.e., the indication and its uncertainty, are used. The unfolding of the spectral region of interest into its components corresponding to the peak representing the indication and its background allows us to take into account the uncertainty budget, describing the uncertainty of the indication and the shape of the corresponding peak, making possible to include these sources of uncertainty in the calculation of the decision threshold. To assess the detection limit, the variance of the indication is calculated as a function of the indication itself, while considering the relative uncertainty of the conversion factor. The variance of the indication observed is approximated by a polynomial of the second order of the indication, thus making it possible to calculate the detection limit analytically. The method was tested on measured spectra using the empirically determined spectral shape of the peak representing the indication. It was shown how the empirically determined shape of an isolated and expressive peak close to the peak representing the indication can be used in the calculation of the decision threshold and how the presence of a peak overlapping with the peak representing the indication affects the decision threshold and the detection limit. It is explained that besides the counting statistics, the sources of uncertainty due to the shape of the peak representing indication also contribute to the decision threshold. However, to the increase of the detection limit over the decision threshold, besides the counting statistic, only the uncertainty of the conversion factor contributes. It is shown that in the presence of the indication, the decision threshold and the detection limit can be used to quantify the comparison between the observed value and the true value of the measurand with a predetermined quantity value in terms of the probabilities of making errors of the first and second kind. The application of the decision thresholds and detection limits to a conformity assessment is proposed.
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  • 文章类型: Journal Article
    公海中颗粒有机碳(POC)的测量为估算海洋碳预算和模拟碳循环提供了依据。大多数已发布的POC测量值都是在海面收集的。因此,水柱上层的POC库存受到相对较好的约束。然而,由于POC测量不足,我们对POC分布及其在更深地区的动态的理解仍然不大。此外,公布的POC估计的不确定性并不总是量化的,也没有完全理解。在这项研究中,我们确定了在大西洋经向截面期间在500m上收集的样品的POC浓度,并描述了一种使用重复测量来量化其实验不确定性的方法。分析显示,与我们的POC浓度相关的总实验不确定性的中位数分别为2(±2)mg/m3和3(±1)mg/m3。相对而言,这些不确定性相当于POC浓度的12%和35%,分别。我们对POC不确定性进行了建模,以确定其主要原因。然而,这个模型只能解释19%的实验POC不确定性。讨论了无法解释的不确定性的潜在来源。
    Measurements of particulate organic carbon (POC) in the open ocean provide grounds for estimating oceanic carbon budgets and for modelling carbon cycling. The majority of the published POC measurements have been collected at the sea surface. Thus, POC stocks in the upper layer of the water column are relatively well constrained. However, our understanding of the POC distribution and its dynamics in deeper areas is still modest due to insufficient POC measurements. Moreover, the uncertainty of published POC estimates is not always quantified, and neither is it fully understood. In this study, we determined the POC concentrations of samples collected in the upper 500 m during an Atlantic Meridional Transect and described a method for quantifying its experimental uncertainties using duplicate measurements. The analysis revealed that the medians of the total experimental uncertainties associated with our POC concentrations in the productive and mesopelagic zones were 2(±2) mg/m 3 and 3(±1) mg/m 3, respectively. In relative terms, these uncertainties corresponded to ∼12% and ∼35% of POC concentrations, respectively. We modelled the POC uncertainty in order to identify its main causes. This model however could explain only ∼19% of the experimental POC uncertainty. Potential sources of the unexplained uncertainty are discussed.
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  • 文章类型: Journal Article
    路灯杆的结构倒塌代表了一个经常被低估和不可预测的方面,但对人和事物的安全具有重要意义。这些事件的评估是复杂的,因为涉及几个来源的损害。此外,传统的检查方法无效,不要正确量化极点的剩余寿命,效率低下,需要与大量要调查的元素相关的巨大成本。有利的替代方案是采用基于物联网(IoT)的分布式类型的结构健康监测(SHM)技术。本文提出了一种低成本系统的设计方案,这也很容易集成到当前的基础设施中,用于监控智慧城市中路灯杆的结构行为。同时,该设备收集以前的结构信息,并提供一些与其应用相关的次要功能,比如气象信息。此外,本文旨在为开发一种能够避免两极崩溃的方法奠定基础。具体来说,在有关低成本设备和传感器的数据采集和传输以及信息技术(IT)策略的方面描述了实施阶段,例如云/边缘方法,用于存储,处理和呈现实现的测量。最后,报告了该系统传感特征的计量性能的实验评估。主要结果突出表明,使用低成本设备和开源软件具有双重含义。一方面,它们具有有限的成本和灵活性等优势,以适应感兴趣的用户的特定需求。另一方面,由于遇到与校准有关的问题,使用的传感器需要对其性能进行不可或缺的计量评估,可靠性和不确定性。
    The structural collapse of a street lighting pole represents an aspect that is often underestimated and unpredictable, but of relevant importance for the safety of people and things. These events are complex to evaluate since several sources of damage are involved. In addition, traditional inspection methods are ineffective, do not correctly quantify the residual life of poles, and are inefficient, requiring enormous costs associated with the vastness of elements to be investigated. An advantageous alternative is to adopt a distributed type of Structural Health Monitoring (SHM) technique based on the Internet of Things (IoT). This paper proposes the design of a low-cost system, which is also easy to integrate in current infrastructures, for monitoring the structural behavior of street lighting poles in Smart Cities. At the same time, this device collects previous structural information and offers some secondary functionalities related to its application, such as meteorological information. Furthermore, this paper intends to lay the foundations for the development of a method that is able to avoid the collapse of the poles. Specifically, the implementation phase is described in the aspects concerning low-cost devices and sensors for data acquisition and transmission and the strategies of information technologies (ITs), such as Cloud/Edge approaches, for storing, processing and presenting the achieved measurements. Finally, an experimental evaluation of the metrological performance of the sensing features of this system is reported. The main results highlight that the employment of low-cost equipment and open-source software has a double implication. On one hand, they entail advantages such as limited costs and flexibility to accommodate the specific necessities of the interested user. On the other hand, the used sensors require an indispensable metrological evaluation of their performance due to encountered issues relating to calibration, reliability and uncertainty.
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  • 文章类型: Journal Article
    背景:磁共振(MR)引导的放射治疗提供了在治疗之前和治疗期间利用高分辨率和实时MR成像的能力,这对适应性放疗至关重要。在适应参考剂量测定形式主义之前,这种新兴的方式已在临床环境中得到迅速采用,而参考剂量测定形式主义是考虑到强磁场的存在所必需的。特别是,需要确定磁场对参考剂量测定方程中参数不确定性的影响,以便充分表征MR引导放射治疗系统中参考剂量测定的不确定性预算。
    目的:在强磁场存在的情况下,识别和量化外部高能放射治疗束的参考剂量测定中不确定性的关键来源。
    方法:在没有关于MR集成直线加速器参考剂量测定的正式任务组报告的情况下,目前建议的形式主义遵循TG-51协议,增加了质量转换因子kBQ,考虑了磁场对电离室响应的影响.在这项工作中,我们量化了影响形式主义中每个参数的各种不确定性来源,并评估它们对最终剂量的总体贡献。测量在1.5TMR直线加速器中完成(Unity,ElektaAB,斯德哥尔摩,瑞典)集成了1.5T飞利浦MR扫描仪和7MVFFF直线加速器。几个参考类小体积电离室的响应(Exradin:A1SL,在整个过程中评估了IBA:CC13,PTW:Semiflex-3D)和Farmer型电离室(Exradin:A19,IBA:FC65-G)。光束质量的长期再现性和稳定性,TPR1020${\\mathrm{TPR}}_{10}^{20}$,也是用内部建造的幻影测量的。
    结果:相对于传统的外部高能直线加速器,MR直线加速器中总参考剂量的不确定性受腔室设置的影响更大:沿y轴±3mm的平移位移导致剂量变化<|0.20|±0.02%(k=1),在相对于磁场方向的水平和垂直平行平面中旋转±5°时,所有5个电离室的变化不超过<|0.44|±0.02%。我们测量到xy平面(水平)旋转(<|0.44|±0.02%(k=1))比yz平面(垂直)旋转(<||0.28|±0.02%(k=1))更大的剂量变化,我们将其与kB的梯度相关联,Q作为相对于B0场方向的腔室取向的函数。Pion的不确定性(对于两个深度),Ppol(具有各种子研究,包括电缆长度的影响,MRgRT孔中的电缆循环,磁环境中的连接器类型),并确定了Prp。综合换算系数kQ×kB,在四个基本角度方向上为两个参考深度提供了Q。在两年的时间里,光束质量相当稳定,TPR1020${\\mathrm{TPR}}_{10}^{20}$为0.669±0.01%。使用相同的设备测量TPR1020${\\mathrm{TPR}}_{10}^{20}$的实际大小,并在两个不同的ElektaUnityMR-Linacs之间进行比较,结果一致在0.21%以内。
    结论:在这项工作中,对影响参考剂量测定的多个参数的不确定性进行了量化.这项工作的结果可用于确定在存在磁场的情况下参考剂量测定的最佳实践指南,并评估MR-直线加速器未来参考剂量测定协议的不确定性预算。
    BACKGROUND: Magnetic resonance (MR)-guided radiation therapy provides capabilities to utilize high-resolution and real-time MR imaging before and during treatment, which is critical for adaptive radiotherapy. This emerging modality has been promptly adopted in the clinic settings in advance of adaptations to reference dosimetry formalism that are needed to account for the presence of strong magnetic fields. In particular, the influence of magnetic field on the uncertainty of parameters in the reference dosimetry equation needs to be determined in order to fully characterize the uncertainty budget for reference dosimetry in MR-guided radiation therapy systems.
    OBJECTIVE: To identify and quantify key sources of uncertainty in the reference dosimetry of external high energy radiotherapy beams in the presence of a strong magnetic field.
    METHODS: In the absence of a formalized Task Group report for reference dosimetry in MR-integrated linacs, the currently suggested formalism follows the TG-51 protocol with the addition of a quality conversion factor kBQ accounting for the effects of the magnetic field on ionization chamber response. In this work, we quantify various sources of uncertainty that impact each of the parameters in the formalism, and evaluate their overall contribution to the final dose. Measurements are done in a 1.5 T MR-Linac (Unity, Elekta AB, Stockholm, Sweden) which integrates a 1.5 T Philips MR scanner and a 7 MVFFF linac. The responses of several reference-class small volume ionization chambers (Exradin:A1SL, IBA:CC13, PTW:Semiflex-3D) and Farmer type ionization chambers (Exradin:A19, IBA:FC65-G) were evaluated throughout this process. Long-term reproducibility and stability of beam quality, TPR 10 20 ${\\mathrm{TPR}}_{10}^{20}$ , was also measured with an in-house built phantom.
    RESULTS: Relative to the conventional external high energy linacs, the uncertainty on overall reference dose in MR-linac is more significantly affected by the chamber setup: A translational displacement along y-axis of ± 3 mm results in dose variation of < |0.20| ± 0.02% (k = 1), while rotation of ± 5° in horizontal and vertical parallel planes relative to relative to the direction of magnetic field, did not exceed variation of < |0.44| ± 0.02% for all 5 ionization chambers. We measured a larger dose variation for xy-plane (horizontal) rotations (< |0.44| ± 0.02% (k = 1)) than for yz-plane (vertical) rotations (< ||0.28| ± 0.02% (k = 1)), which we associate with the gradient of kB,Q as a function of chamber orientation with respect to direction of the B0 -field. Uncertainty in Pion (for two depths), Ppol (with various sub-studies including effects of cable length, cable looping in the MRgRT bore, connector type in magnetic environment), and Prp were determined. Combined conversion factor kQ × kB,Q was provided for two reference depths at four cardinal angle orientations. Over a two-year period, beam quality was quite stable with TPR 10 20 ${\\mathrm{TPR}}_{10}^{20}$ being 0.669 ± 0.01%. The actual magnitude of TPR 10 20 ${\\mathrm{TPR}}_{10}^{20}$ was measured using identical equipment and compared between two different Elekta Unity MR-Linacs with results agreeing to within 0.21%.
    CONCLUSIONS: In this work, the uncertainty of a number of parameters influencing reference dosimetry was quantified. The results of this work can be used to identify best practice guidelines for reference dosimetry in the presence of magnetic fields, and to evaluate an uncertainty budget for future reference dosimetry protocols for MR-linac.
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  • 文章类型: Journal Article
    ISO/IEC17025标准要求所有重要贡献都必须传播到测量不确定度,还包括抽样不确定性。我们使用内部和分样方法评估了伽马射线光谱法的土壤采样不确定性。通过内部方法,通过比较测量结果的标准偏差和平均分析不确定度确定采样不确定度.采用分样法,它是使用样本间和分析间方差计算的。如果可靠地确定了分析不确定性,建议采用内部方法,因为需要更少的测量。
    The ISO/IEC 17025 standard requires that all significant contributions have to be propagated to the measurement uncertainty, including also sampling uncertainties. We evaluated soil sampling uncertainties for gamma-ray spectrometry by using in-house and split-sample methods. By in-house method, the sampling uncertainty was determined by comparing standard deviations of measurement results and average analytical uncertainty. With split-sample method, it was calculated using between-sample and between-analysis variances. If analytical uncertainty is reliably determined, the in-house method is recommended because fewer measurements are needed.
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  • 文章类型: Journal Article
    161Tb在靶向放射性核素治疗和核法医学中具有潜在的应用。然而,在以前的研究中,161Tb的半衰期显示出差异。在这项研究中,161Tb样品是通过用热中子通量辐照160Gd2O3来生产的。应用一系列程序来提取纯的161Tb溶液并制备三个固体样品。已使用高纯度锗(HPGe)检测器测量了161Tb的半衰期。在161Tb活性的时间依赖性之后,评估了33-43天内在48.9keV和74.6keV的特征伽马射线发射的计数率。详细讨论了实验和不确定度预算。不同的不确定性传播方程应用于随机不确定性,中频偏差和潜在的系统误差。161Tb半衰期为6.967(11)d的结果由三个样品的半衰期加权平均值确定,这证实了半衰期比当前评估的半衰期6.89(2)d更长。从所有可用的引用实验值,通过功率调节法(PMM)确定的推荐半衰期为6.934(14)d.根据最近公布的四个半衰期值,通过PMM分析确定161Tb的半衰期为6.9582(33)d。
    161Tb has potential applications in targeted radionuclide therapy and nuclear forensic science. However, the half-lives of 161Tb in previous studies show a discrepancy. In this study, 161Tb samples were produced by irradiating 160Gd2O3 with thermal neutron flux. A series of procedures were applied to extract a pure 161Tb solution and three solid samples were prepared. The half-life of 161Tb has been measured with a high-purity germanium (HPGe) detector. The time-dependency of the 161Tb activity was followed by assessing the count rate of their characteristic gamma-ray emissions at 48.9 keV and 74.6 keV over a period of 33-43 days. The experiment and uncertainty budget are discussed in detail. Different uncertainty propagation equations were applied for random uncertainties, medium-frequency deviations and potential systematic errors. The result for the 161Tb half-life of 6.967 (11) d was determined by the weighted mean of half-lives from three samples, which confirms that the half-life is longer than the of the current evaluated half-life of 6.89 (2) d. From all available quoted experimental values, a recommended half-life of 6.934 (14) d was determined by the power-moderated method (PMM). Based on recent four published half-life values, a half-life of 161Tb of 6.9582 (33) d was determined by the PMM analysis.
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  • 文章类型: Journal Article
    由于纳米颗粒的尺寸和形状都具有定量测量的挑战性,可追踪的3D测量现在是一个问题。3D纳米计量学在降低测量不确定度方面起着至关重要的作用,改进样品的可追溯校准并实施新方法,模型,纳米材料研究中的方法。由于与尖端的有限尺寸的卷积,具有不寻常形状的纳米颗粒的AFM测量代表了不平凡的挑战。在这项工作中,描述了用于确定TiO2锐钛矿双锥体和纳米片的临界尺寸的几何方法。估计每个纳米颗粒尺寸的不确定性预算,目的是评估不同的误差来源,以获得更可靠和一致的结果。组合的标准不确定度分别小于双锥体和纳米片的尺寸的5%和10%。由于其临界尺寸的稳定性和单峰分布,双锥体和纳米片适合用作纳米级的候选参考材料。此外,为了了解合成批次的质量,讨论了形状和纹理描述符的定量测量。
    Since both size and shape of nanoparticles are challenging to be quantitatively measured, traceable 3D measurements are nowadays an issue. 3D nanometrology plays a crucial role to reduce the uncertainty of measurements, improve traceable calibration of samples and implement new approaches, models, and methodologies in the study of the nanomaterials. AFM measurement of nanoparticles with unusual shape represent a non-trivial challenge due to the convolution with the finite size of the tip. In this work, geometric approaches for the determination of critical sizes of TiO2 anatase bipyramids and nanosheets are described. An uncertainty budget is estimated for each nanoparticle size with the aim of assessing the different sources of error to obtain a more reliable and consistent result. The combined standard uncertainties are respectively less than 5% and 10% of the dimensions of bipyramids and nanosheets. Due to the stability and monomodal distribution of their critical sizes, bipyramids and nanosheets are suitable to apply as candidate reference materials at the nanoscale. Moreover, quantitative measurements of shape and texture descriptors are discussed in order to understand the quality of the synthetized batch.
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  • 文章类型: Journal Article
    OBJECTIVE: The aim of this study is to reduce the uncertainty associated with determining dose-to-water using an amorphous silicon electronic portal imaging detector (EPID) under reference conditions by developing a direct calibration formalism based on radiochromic film measurements made within the EPID panel and detailed Monte Carlo simulations. To our knowledge, this is the first EPID-based dosimetry study reporting an uncertain budget METHODS: Pixel sensitivity and relative off-axis response were mapped by simultaneously irradiating film contained within the imager panel and acquiring an EPID image set. The detector panel was disassembled for the purpose of modeling the EPID in detail using the EGSnrc DOSXYZnrc usercode, which was in turn used to calculate dose-to-film in the EPID and dose-to-water in water conversion factors RESULTS: A direct comparison of the two correction methodologies investigated in this work, the previously established empirical method and the proposed simultaneous measurement approach involving in-EPID film dosimetry, produced an agreement with an RMS deviation of 1.4% overall. A combined standard relative uncertainty of 3.3% (k = 1) was estimated for the determination of absorbed dose to water at the position of the EPID using the proposed calibration methodology CONCLUSIONS: This work describes a direct method of calibrating EPID response in terms of absorbed dose to water requiring fewer measurements than other empirical approaches, and without 2D spatial interpolation of correction factors.
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  • 文章类型: Journal Article
    现代放射治疗模式,例如强度调制放射治疗和体积调制电弧治疗涉及复杂的剂量递送。剂量输送是复杂的,因为它涉及光束调制,因此,这些技术的手动剂量计算是不可能的。由于与之相关的优点,胶片剂量测定是用于这些模态的常用剂量验证方法。与临床使用下的胶片剂量测定系统相关的不确定性的量化对于准确的剂量测定变得很重要。被照射的膜的像素值(PV)的分布的扩展有助于不确定性。对于6、10和15MV的临床光子束能量,研究了PV的概率分布(PD)。
    GafchromeEBT3胶片和EPSON10000XL平板扫描仪用于此目的,并使用所得的PD,这些红色能量的不确定性预算,绿色和蓝色通道进行了估计。
    所研究的能量的曝光膜的PV遵循t分布,测量数据与拟合值的偏差的平方和为10-7,这表明拟合优度。曝光胶片和200cGy剂量测量在1σ置信水平下的“t”值校正组合标准不确定度(CSU)为1.42%,1.48%,和1.63%和1.99%,3.23%,6、10和15MV能量为5.08%,分别,在红色通道。
    在数量有限的情况下,必须使用“t”值更正SU值,以获得正确的CSU。
    OBJECTIVE: Modern radiotherapy modalities, such as Intensity-Modulated Radiotherapy and Volumetric Modulated Arc Therapy involve complex dose delivery. The dose delivery is complex as it involves beam modulation, hence, manual dose calculations for these techniques are not possible. Film dosimetry is commonly used method of dose verification for these modalities because of the advantages associated with it. The quantification of uncertainty associated with a film dosimetry system under clinical use becomes important for accurate dosimetry. The spread in the distribution of the pixel values (PV) of the irradiated film contributes to the uncertainty. The probability distribution (PD) of the PV was studied for the clinical photon beam energies of 6, 10, and 15 MV.
    METHODS: Gafchromic EBT3 film and EPSON 10000XL flatbed scanner were used for this purpose and using the resulting PD, the uncertainty budgets for these energies in the red, green and blue color channels were estimated.
    RESULTS: The PV of exposed films for the energies studied follows t-distribution, the sum of the squares of the deviation of the measured data from the fitted value was of the order of 10-7, this indicates the goodness of fit. The \"t\" value corrected combined standard uncertainty (CSU) at 1σ confidence level for exposed film and dose measurement at 200 cGy were 1.42%, 1.48%, and 1.63% and 1.99%, 3.23%, and 5.08% for 6, 10, and 15 MV energies, respectively, in the red colour channel.
    CONCLUSIONS: In the case of the limited number of measurements of a quantity, the SU values must be corrected using the \"t\" value to get the correct CSU.
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