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相关概念视频

Vector Algebra: Method of Components01:08

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It is cumbersome to find the magnitudes of vectors using the parallelogram rule or using the graphical method to perform mathematical operations like addition, subtraction, and multiplication. There are two ways to circumvent this algebraic complexity. One way is to draw the vectors to scale, as in navigation, and read approximate vector lengths and angles (directions) from the graphs. The other way is to use the method of components.
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Vectors are usually described in terms of their components in a coordinate system. Even in everyday life, we naturally invoke the concept of orthogonal projections in a rectangular coordinate system. For example, if someone gives you directions for a particular location, you will be told to go a few km in a direction like east, west, north, or south, along with the angle in which you are supposed to move. In a rectangular (Cartesian) xy-coordinate system in a plane, a point in a plane is...
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In everyday conversation, accelerating means speeding up. Acceleration is a vector in the same direction as the change in velocity, Δv, therefore the greater the acceleration, the greater the change in velocity over a given time. Since velocity is a vector, it can change in magnitude, direction, or both. Thus acceleration is a change in speed or direction, or both. For example, if a runner traveling at 10 km/h due east slows to a stop, reverses direction, and continues their run at 10 km/h...
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使用以圆为基础的向量编码方法的取决于速度的多变量协调变量.

Hwigeum Jeong1, Hyunsun Lee2,3, Richard van Emmerik1

  • 1Department of Kinesiology, University of Massachusetts Amherst, MA, USA.

Journal of motor behavior
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概括
此摘要是机器生成的。

走得更快会增加下肢协调的变化. 这项研究使用基于圆的向量编码来分析部,膝盖和脚的运动,发现脚在运动变化中起着关键作用.

关键词:
协调的可变性 协调的可变性交叉相关性 交叉相关性统计非参数映射的统计绘制.矢量编码是指向量编码.

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科学领域:

  • 生物力学 生物力学
  • 运动科学 运动科学
  • 运动学 运动学

背景情况:

  • 矢量编码是运动分析的标准,但通常仅限于两个关节.
  • 人类运动涉及多个关节的复杂相互作用.
  • 基于圆的向量编码允许进行更高维的协调分析.

研究的目的:

  • 为了检查跨行走速度的下肢的双变和三变协调变化.
  • 使用基于圆的矢量编码来比较慢步和快步之间的协调动态.
  • 确定特定关节 (部,膝盖,脚) 在协调变化中的作用.

主要方法:

  • 采用基于圆的向量编码方法来分析下肢协调.
  • 在立场和摇摆阶段周期间的计算平均变化.
  • 使用统计非参数映射和交叉相关性分析.

主要成果:

  • 协调变化 (双变和三变) 在更快的步行速度时增加.
  • 在涉及脚的两种和三种合之间发现了高交叉相关性 (0.820.96).
  • 脚关节在驱动协调变化方面发挥了重要作用.

结论:

  • 走得更快会改变下肢协调的动态,增加变异性.
  • 涉及脚的两种合器有效地代表了行走期间的三种协调模式.
  • 这些发现强调了脚在调节步态变化的重要性.