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相关概念视频

Collisions in Multiple Dimensions: Problem Solving01:06

Collisions in Multiple Dimensions: Problem Solving

4.3K
In multiple dimensions, the conservation of momentum applies in each direction independently. Hence, to solve collisions in multiple dimensions, we should write down the momentum conservation in each direction separately. To help understand collisions in multiple dimensions, consider an example.
A small car of mass 1,200 kg traveling east at 60 km/h collides at an intersection with a truck of mass 3,000 kg traveling due north at 40 km/h. The two vehicles are locked together. What is the...
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Collisions in Multiple Dimensions: Introduction01:05

Collisions in Multiple Dimensions: Introduction

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It is far more common for collisions to occur in two dimensions; that is, the initial velocity vectors are neither parallel nor antiparallel to each other. Let's see what complications arise from this. The first idea is that momentum is a vector. Like all vectors, it can be expressed as a sum of perpendicular components (usually, though not always, an x-component and a y-component, and a z-component if necessary). Thus, when the statement of conservation of momentum is written for a...
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Woodward–Hoffmann Selection Rules and Microscopic Reversibility01:34

Woodward–Hoffmann Selection Rules and Microscopic Reversibility

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Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...
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Two-Dimensional Force System: Problem Solving01:29

Two-Dimensional Force System: Problem Solving

623
Solving problems related to two-dimensional force systems is an essential aspect of mechanics and engineering. By applying the principles of vector analysis and force equilibrium, one can determine the effect of multiple forces acting on an object in a two-dimensional space.
The first step to solving a two-dimensional force system problem is to draw a free-body diagram of the object under consideration. This diagram helps identify all the external forces acting on the object, including their...
623
Three-Dimensional Force System:Problem Solving01:30

Three-Dimensional Force System:Problem Solving

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A three-dimensional force system refers to a scenario in which three forces act simultaneously in three different directions. This type of problem is commonly encountered in physics and engineering, where it is necessary to calculate the resultant force on the system, which can then be used to predict or analyze the behavior of the object or structure under consideration.
To solve a three-dimensional force system, first resolve each force into its respective scalar components. Do this using...
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Support Reactions in Three Dimensions01:27

Support Reactions in Three Dimensions

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Support reactions in three dimensions help maintain the stability and equilibrium of various structures and systems. These reactions prevent the system from translating and rotating, ensuring the design can withstand external forces and perform its intended function efficiently and safely. Some of the supports providing support reactions in three dimensions are discussed below:
Ball and Socket Joint is one of the supports allowing free rotation about any axis. This freedom of rotation is...
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Updated: Jul 26, 2025

An Operant Intra-/Extra-dimensional Set-shift Task for Mice
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An Operant Intra-/Extra-dimensional Set-shift Task for Mice

Published on: January 22, 2016

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一个短暂的高维几何学提供了稳定的连接子空间,以实现有效的动作选择.

Atsushi Kikumoto1,2, Apoorva Bhandari1, Kazuhisa Shibata2

  • 1Department of Cognitive, Linguistic, and Psychological Sciences, Brown University, Rhode Island, U.S.

bioRxiv : the preprint server for biology
|June 19, 2023
PubMed
概括
此摘要是机器生成的。

灵活的行动选择依赖于认知控制. 这项研究揭示了神经表征的短暂扩张和稳定,这对于大脑中依赖上下文的行为和准确的动作选择至关重要.

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相关实验视频

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An Operant Intra-/Extra-dimensional Set-shift Task for Mice
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An Operant Intra-/Extra-dimensional Set-shift Task for Mice

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A Networked Desktop Virtual Reality Setup for Decision Science and Navigation Experiments with Multiple Participants
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A Networked Desktop Virtual Reality Setup for Decision Science and Navigation Experiments with Multiple Participants

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Measuring Attention and Visual Processing Speed by Model-based Analysis of Temporal-order Judgments
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科学领域:

  • 神经科学是一个神经科学.
  • 认知心理学 认知心理学
  • 计算神经科学是一种神经科学.

背景情况:

  • 灵活的行动选择对于调整行为以适应不断变化的环境至关重要.
  • 认知控制机制对于将输入映射到特定环境的输出至关重要.
  • 神经表现必须根据上下文将类似的输入分开,以便进行可靠的行动选择.

研究的目的:

  • 探究灵活的动作选择背后的神经几何和动态.
  • 了解大脑如何根据上下文分离神经状态.
  • 确定代表稳定性在时间不变的动作选择中的作用.

主要方法:

  • 使用电脑电图 (EEG) 解码方法.
  • 参与者执行了一个取决于背景的行动选择任务.
  • 采用强制反应程序来探测神经轨迹.

主要成果:

  • 在成功响应之前观察到表示维度的短暂扩展.
  • 在神经表示中证明了连接子空间的分离.
  • 发现神经动态的稳定可以预测个体试验的表现.

结论:

  • 神经几何和动态对于灵活的行为控制至关重要.
  • 暂时的代表性扩展促进了取决于背景的行动选择.
  • 稳定,高维的神经状态是强大和高效的行动选择的关键.