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相关概念视频

Methods of Obtaining Topography01:25

Methods of Obtaining Topography

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Topography involves measuring and mapping land elevations, natural features, and artificial structures to create accurate representations of the terrain. Topographic surveying relies on traditional and modern methods, each with distinct advantages and limitations.Traditional Surveying Methods:Transit stadia surveys and plane table surveys were widely used traditional surveying methods. These techniques relied on instruments like theodolites and stadia rods for measuring distances and angles,...
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Area Computation by the Alternative Coordinate Method01:24

Area Computation by the Alternative Coordinate Method

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The alternative coordinate method, also known as the Shoelace Formula, is a technique for determining the area of a traverse using Cartesian coordinates. This method relies on the sequential arrangement of x and y coordinates for each point of the shape, ensuring accuracy and ease of application.In this approach, each corner's x and y coordinates are listed as fractions, with the x-coordinate as the numerator and the y-coordinate as the denominator. These coordinates are arranged sequentially...
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State Space Representation01:27

State Space Representation

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The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
Consider an RLC circuit, a...
232
State Space to Transfer Function01:21

State Space to Transfer Function

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The conversion of state-space representation to a transfer function is a fundamental process in system analysis. It provides a method for transitioning from a time-domain description to a frequency-domain representation, which is crucial for simplifying the analysis and design of control systems.
The transformation process begins with the state-space representation, characterized by the state equation and the output equation. These equations are typically represented as:
229
Collisions in Multiple Dimensions: Problem Solving01:06

Collisions in Multiple Dimensions: Problem Solving

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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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Hydraulic Jump: Problem Solving01:16

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To analyze a hydraulic jump in a rectangular channel with a flow speed of 6 meters per second, follow these steps:Calculate Effective Upstream Velocity:When the downstream gate closes, a hydraulic jump forms, traveling upstream at 2 meters per second. This wave speed combines with the initial channel flow velocity, creating an effective upstream velocity.Identify Flow Velocities Before and After the Hydraulic Jump:Upstream of the hydraulic jump, the effective flow velocity includes both the...
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Non-Invasive Modulation and Robotic Mapping of Motor Cortex in the Developing Brain
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一个多状态映射方法来进行表面跳跃.

Johan E Runeson1, David E Manolopoulos1

  • 1Department of Chemistry, University of Oxford, Physical and Theoretical Chemistry Laboratory, South Parks Road, Oxford OX1 3QZ, United Kingdom.

The Journal of chemical physics
|September 7, 2023
PubMed
概括
此摘要是机器生成的。

这项研究引入了用于表面跳跃的增强映射方法,提高了量子-经典系统的准确性. 新方法准确地模拟了复杂系统中的电子群体和连贯性.

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科学领域:

  • 量子化学 是一个量子化学.
  • 理论化学 理论化学
  • 化学物理 化学物理

背景情况:

  • 表面跳跃方法对于模拟分子系统中的非adiabatic动态至关重要.
  • 现有的方法,如最少开关表面跳跃 (FSSH),在准确描述电子连贯和群体方面存在局限性.
  • 表面跳跃 (MASH) 的映射方法为半经典模拟提供了一个有希望的替代方案.

研究的目的:

  • 开发和验证曼努奇-理查德森映射方法的多个电子状态适应.
  • 为了提高电子非adiabatic过程的半经典模拟的准确性.
  • 为计算电子群体和连贯性提供更强大的方法.

主要方法:

  • 适应曼努奇-理查德森映射方法来处理多个电子状态.
  • 在平等的基础上对待电子群体和连贯性.
  • 与Fenna-Matthews-Olson (FMO) 综合体的三态和七态模型的准确基准结果进行比较.
  • 与最少开关表面跳跃 (FSSH) 和其他半经典方法进行基准测试.

主要成果:

  • 与FSSH相比,适应的映射方法产生了明显更准确的电子群体和连贯性.
  • 该方法的准确性与FMO模型的现有半经典技术相当或超过.
  • 与原始的曼努奇-理查德森方法进行比较,显示了可比的准确性,新方法在多态系统中表现出色.

结论:

  • 开发的多重电子状态映射方法为模拟非adiabatic动态提供了一个高度准确和多功能工具.
  • 这种方法克服了FSSH的局限性,为复杂的量子-经典系统提供了可靠的替代方案.
  • 该方法适用于更广泛的电子非adiabatic系统,包括具有多个激发状态的系统.