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Space-Time Curvature and the General Theory of Relativity01:17

Space-Time Curvature and the General Theory of Relativity

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In 1905, Albert Einstein published his special theory of relativity. According to this theory, no matter in the universe can attain a speed greater than the speed of light in a vacuum, which thus serves as the speed limit of the universe.
This has been verified in many experiments. However, space and time are no longer absolute. Two observers moving relative to one another do not agree on the length of objects or the passage of time. The mechanics of objects based on Newton's laws of...
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Space Trusses01:25

Space Trusses

1.3K
A space truss is a three-dimensional counterpart of a planar truss. These structures consist of members connected at their ends, often utilizing ball-and-socket joints to create a stable and versatile framework. The space truss is widely used in various construction projects due to its adaptability and capacity to withstand complex loads.
At the core of a space truss lies the fundamental unit known as the tetrahedron. This structure is composed of six members that form a three-dimensional shape...
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State Space Representation01:27

State Space Representation

573
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...
573
Space Trusses: Problem Solving01:29

Space Trusses: Problem Solving

909
A space truss is a three-dimensional counterpart of a planar truss. These structures consist of members connected at their ends, often utilizing ball-and-socket joints to create a stable and versatile framework. Due to its adaptability and capacity to withstand complex loads, the space truss is widely used in various construction projects.
Consider a tripod consisting of a tetrahedral space truss with a ball-and-socket joint at C. Suppose the height and lengths of the horizontal and vertical...
909
Transfer Function to State Space01:23

Transfer Function to State Space

803
State-space representation is a powerful tool for simulating physical systems on digital computers, necessitating the conversion of the transfer function into state-space form. Consider an nth-order linear differential equation with constant coefficients, like those encountered in an RLC circuit. The state variables are selected as the output and its n−1 derivatives. Differentiating these variables and substituting them back into the original equation produces the state equations.
In an RLC...
803
State Space to Transfer Function01:21

State Space to Transfer Function

581
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:
581

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相关实验视频

Updated: Feb 4, 2026

Trajectory Data Analyses for Pedestrian Space-time Activity Study
16:14

Trajectory Data Analyses for Pedestrian Space-time Activity Study

Published on: February 25, 2013

14.2K

时空超振荡是超振荡.

Yijie Shen1,2, Nikitas Papasimakis3, Nikolay I Zheludev3,4

  • 1Centre for Disruptive Photonic Technologies, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, Singapore. yijie.shen@ntu.edu.sg.

Nature communications
|February 2, 2026
PubMed
概括
此摘要是机器生成的。

科学家们展示了时空超振荡 (STSO),其中空间和时间超振荡同时发生. 这一突破使得极端时空场结构能够用于光学和光子学中的先进应用.

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An Automated Method to Determine the Performance of Drosophila in Response to Temperature Changes in Space and Time
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An Automated Method to Determine the Performance of Drosophila in Response to Temperature Changes in Space and Time

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In vitro Synthesis of Native, Fibrous Long Spacing and Segmental Long Spacing Collagen
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In vitro Synthesis of Native, Fibrous Long Spacing and Segmental Long Spacing Collagen

Published on: September 20, 2012

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相关实验视频

Last Updated: Feb 4, 2026

Trajectory Data Analyses for Pedestrian Space-time Activity Study
16:14

Trajectory Data Analyses for Pedestrian Space-time Activity Study

Published on: February 25, 2013

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An Automated Method to Determine the Performance of Drosophila in Response to Temperature Changes in Space and Time
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An Automated Method to Determine the Performance of Drosophila in Response to Temperature Changes in Space and Time

Published on: October 12, 2018

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In vitro Synthesis of Native, Fibrous Long Spacing and Segmental Long Spacing Collagen
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In vitro Synthesis of Native, Fibrous Long Spacing and Segmental Long Spacing Collagen

Published on: September 20, 2012

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科学领域:

  • 光学和光子学 在光学和光子学.
  • 波浪现象是一种波浪现象.
  • 电磁主义 电磁主义

背景情况:

  • 超振荡 (SO) 允许波场在局部振荡的速度比它们的最高里埃元件更快.
  • SO对于超分辨率成像和计量学至关重要,超过了衍射极限.
  • 之前的研究集中在空间或时间SO独立.

研究的目的:

  • 为了研究空间和时间超振荡的同时发生.
  • 为了介绍和演示时空超振荡 (STSO).
  • 探索STSO在极端时空场结构中的潜力.

主要方法:

  • 采用了超多角光脉冲的带限版本.
  • 运用麦克斯韦方程来建模不可分割的有限能量解决方案.
  • 通过实验证明了STSO现象.

主要成果:

  • 成功证明了同时发生的空间和时间超振荡 (STSO).
  • 在超 toroidal 光脉冲中观察到的 STSO.
  • 揭示了极端时空场结构的新制度.

结论:

  • 时空超振荡 (STSO) 是波物理学的新奇现象.
  • STSO对超快测量学和轻物质相互作用有重大影响.
  • 这项工作为电磁波的深度亚波长控制开辟了新的途径.