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相关概念视频

Basic Plant Anatomy: Roots, Stems, and Leaves02:27

Basic Plant Anatomy: Roots, Stems, and Leaves

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The primary organs of vascular plants are roots, stems, and leaves, but these structures can be highly variable, adapted for the specific needs and environment of different plant species.
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Survival Tree01:19

Survival Tree

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Survival trees are a non-parametric method used in survival analysis to model the relationship between a set of covariates and the time until an event of interest occurs, often referred to as the "time-to-event" or "survival time." This method is particularly useful when dealing with censored data, where the event has not occurred for some individuals by the end of the study period, or when the exact time of the event is unknown.
 Building a Survival Tree
Constructing a...
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Construction of Root Locus01:15

Construction of Root Locus

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The construction of a root locus involves several key steps to analyze and visualize the behavior of a system's poles with varying gain. The number of branches in the root locus equals the number of closed-loop poles and is symmetrical about the real axis.
For positive gain values, the root locus exists on the real axis to the left of an odd number of finite open-loop poles or zeros. The root locus starts at the open-loop poles and traces the paths of the closed-loop poles as the gain...
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Root Loci for Positive-Feedback Systems01:23

Root Loci for Positive-Feedback Systems

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The Hartley oscillator is a positive feedback system that sustains oscillations by feeding the output back to the input in phase, thereby reinforcing the signal. Positive feedback systems can be viewed as negative feedback systems with inverted feedback signals. In these systems, the root locus encompasses all points on the s-plane where the angle of the system transfer function equals 360 degrees.
The construction rules for the root locus in positive feedback systems are similar to those in...
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Plotting and Calibrating the Root Locus01:19

Plotting and Calibrating the Root Locus

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Root loci often diverge as system poles shift from the real axis to the complex plane. Key points in this transition are the breakaway and break-in points, indicating where the root locus leaves and reenters the real axis. The branches of the root locus form an angle of 180/n degrees with the real axis, where n is the number of branches at a breakaway or break-in point.
The maximum gain occurs at the breakaway points between open-loop poles on the real axis, while the minimum gain is...
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Phylogenetic Trees03:21

Phylogenetic Trees

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Phylogenetic trees come in many forms. It matters in which sequence the organisms are arranged from the bottom to the top of the tree, but the branches can rotate at their nodes without altering the information. The lines connecting individual nodes can be straight, angled, or even curved.
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Updated: Sep 10, 2025

A Modified Lean and Release Technique to Emphasize Response Inhibition and Action Selection in Reactive Balance
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根植树平衡的元概念

Mareike Fischer1, Tom Niklas Hamann2, Kristina Wicke3

  • 1Institute of Mathematics and Computer Science, University of Greifswald, Greifswald, Germany. mareike.fischer@uni-greifswald.de.

Bulletin of mathematical biology
|August 22, 2025
PubMed
概括

这项研究介绍了树平衡元概念,这是一个统一和扩展树平衡指数分析的新框架. 这种方法可以更深入地了解各种科学领域的树状特征.

科学领域:

  • 数学遗传学
  • 理论计算机科学
  • 网络理论
  • 数据结构

背景情况:

  • 树木平衡在各种科学领域至关重要,包括遗传学和计算机科学.
  • 现有的树平衡指数通常依赖于树的结构性质,如树群大小和叶子深度.
  • 目前的方法是单独分析指数,限制了对树木平衡的全面理解.

研究的目的:

  • 为了解树木平衡和不平衡指数制定统一的框架.
  • 引入"元概念"作为量化树木平衡的通用方法.
  • 能够系统地研究指数家族,并揭示树状的更深入的洞察力.

主要方法:

  • 将元概念定义为取决于底层树状特征的函数 (例如,类大小,叶子深度).
  • 证明现有的指数可以作为这些元概念的具体实例.
  • 分析和比较树平衡指标的通用框架的开发.

主要成果:

  • 超概念为广泛的树平衡指数提供了统一的理论结构.
  • 这一框架包括已有的指数 (例如,Sackin,总Cophenetic,S-hat) 并允许创建新的指数.
  • 超概念的普遍性使得整个索引家族的研究更容易,揭示了潜在的关系.
关键词:
没有COLLESS的指数有根的树萨金指数总的共性指数树木平衡

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The Calibration and Use of Capacitance Sensors to Monitor Stem Water Content in Trees

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结论:

  • 超概念为推进树木平衡研究提供了强大而多用途的工具.
  • 这种通用方法提供了对树形状属性的更深入,更系统的理解.
  • 该框架在依赖树结构分析的领域具有广泛的适用性.