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相关概念视频

Vector Algebra: Graphical Method01:10

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Vectors can be multiplied by scalars, added to other vectors, or subtracted from other vectors. The vector sum of two (or more) vectors is called the resultant vector or, for short, the resultant.
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Analyzing two sinusoidal voltages with equal amplitude and period but different phases on an oscilloscope, an instrument used to display and analyze waveforms, involves a three-step process.
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The first order operators using the del operator include the gradient, divergence and curl. Certain combinations of first order operators on a scalar or vector function yield second order expressions. Second-order expressions play a very important role in mathematics and physics. Some second order expressions include the divergence and curl of a gradient function, the divergence and curl of a curl function, and the gradient of a divergence function.
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Shear Diagram01:27

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In the study of beam mechanics, shear diagrams play a crucial role in understanding the distribution of shear forces along the length of a beam. Consider a beam AB that is supported at both ends and subjected to perpendicular loads.
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In structural analysis, singularity functions are crucial in simplifying the representation of shear forces in beams under discontinuous loading. These functions describe discontinuous  variations in shear force across a beam with varying loads by using a single mathematical expression, regardless of the complexity of the loading conditions. The singularity functions are derived from creating a free-body diagram of the beam and then making conceptual cuts at specific points to examine the...
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相关实验视频

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Quantifying Intermembrane Distances with Serial Image Dilations
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使用内核函数平滑 Lexis 图:一种当代的方法.

Philip S Rosenberg1, Adalberto Miranda Filho1, Julia Elrod1

  • 1Biostatistics Branch, National Cancer Institute, Division of Cancer Epidemiology and Genetics, Rockville, MD, USA.

Statistical methods in medical research
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概括

这项研究引入了一种新的双变核光滑器,用于分析癌症发病率数据. 新的截断模型平均方法提高了Lexis图表中的模式清晰度和趋势估计.

关键词:
流行病学 流行病学这是一个lexis图.监督监督监督监督监督监督监督监督监督监督监督监督和最终结果 计划结果.癌症监测研究 癌症监测研究核心方法 核心方法非参数的平滑方式.

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科学领域:

  • 流行病学 流行病学
  • 生物统计学 生物统计学
  • 癌症监测 癌症监测

背景情况:

  • 莱克西斯图对于癌症监测研究至关重要,它显示了按年龄和时期的事件率.
  • 通过各种因素对Lexis图进行分层,可以减少信息内容,因此需要平滑方法.
  • 目前用于光滑Lexis图的现有方法存在局限性.

研究的目的:

  • 开发一种基于双变核的新型平滑器,用于分析Lexis图.
  • 提高分层癌症数据中的模式和总结估计的清晰度.
  • 为癌症监测提供强大而自动的平滑方法.

主要方法:

  • 开发了一个双变量内核平滑器,包含单数值分解和偏差纠正的Akaike信息标准,以实现最佳的截断.
  • 采用了一个模型,在一个具有不同形状和带宽的候选内核面板中平均.
  • 通过对侵袭性雌激素受体阴性乳腺癌发病率的案例研究和对20种癌症的模拟来验证该方法.

主要成果:

  • 这种新型的截断模型平均方法与任何固定的内核相比,显示出更高的性能.
  • 该方法是快速的,自动的,并提供一个对模型选择的方差-共方差矩阵.
  • 在各种癌症类型中观察到一致的超越性.

结论:

  • 截断模型平均方法是描述性癌症监测研究的可靠和有效工具.
  • 这种方法增强了Lexis图的分析,特别是在分层数据集中.
  • 支持在癌症研究中采用这种先进的光滑技术.