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Bode Plots Construction01:24

Bode Plots Construction

743
The Bode plot is an essential tool in control system analysis, mapping the frequency response of a system through a magnitude plot and a phase plot, both against a logarithmic frequency axis. To construct a Bode plot, consider the transfer function H(ω):
743
¹³C NMR: ¹H–¹³C Decoupling01:04

¹³C NMR: ¹H–¹³C Decoupling

1.1K
The probability of having two carbon-13 atoms next to each other is negligible because of the low natural abundance of carbon-13. Consequently, peak splitting due to carbon-carbon spin-spin coupling is not observed in spectra. However, protons up to three sigma bonds away split the carbon signal according to the n+1 rule, resulting in complicated spectra.
A broadband decoupling technique is used to simplify these complex, sometimes overlapping, signals. Broadband decoupling relies on a...
1.1K
Bandpass Sampling01:17

Bandpass Sampling

214
In signal processing, bandpass sampling is an effective technique for sampling signals that have most of their energy concentrated within a narrow frequency band. This type of signal is known as a bandpass signal. The key principle of bandpass sampling involves sampling the signal at a rate that is greater than twice the signal's bandwidth to prevent aliasing.
A bandpass signal has a spectrum with a lower frequency limit, denoted as ω1, and an upper frequency limit, denoted as ω2....
214
Transfer function and Bode Plots-II01:23

Transfer function and Bode Plots-II

387
In the standard form, the transfer function is shown in constant gain, poles/zeros at origin, simple poles/zeros, and quadratic poles/zeros; each contributing uniquely to the system's overall response. The term represents the magnitude of the simple zero:
387
Dual Nature of Electromagnetic (EM) Radiation01:10

Dual Nature of Electromagnetic (EM) Radiation

2.1K
Electromagnetic (EM) radiation consists of electric and magnetic field components oscillating in planes perpendicular to each other and mutually perpendicular to radiation propagation through space. EM radiation can be classified as a wave, characterized by the properties of waves such as wavelength (denoted as λ) and frequency (represented by ν).
Wavelength is the distance between two consecutive peaks (the highest point) or troughs (the lowest point) in the wave. Frequency is the...
2.1K
Emission Spectra02:39

Emission Spectra

56.0K
When solids, liquids, or condensed gases are heated sufficiently, they radiate some of the excess energy as light. Photons produced in this manner have a range of energies, and thereby produce a continuous spectrum in which an unbroken series of wavelengths is present.
56.0K

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相关实验视频

Updated: Jul 29, 2025

Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

8.6K

使用普朗克限制双光谱从跳跃宇宙学.

Bartjan van Tent1, Paola C M Delgado2, Ruth Durrer3

  • 1Université Paris-Saclay, CNRS/IN2P3, IJCLab, 91405 Orsay, France.

Physical review letters
|May 27, 2023
PubMed
概括

跳跃宇宙学模型,虽然可能解释宇宙微波背景 (CMB) 异常,但产生非高斯性. 普朗克数据分析显示,这些模型在很大程度上被排除在外,这挑战了它们解释CMB大规模异常的可行性.

科学领域:

  • 宇宙学的宇宙学是什么?
  • 理论物理 理论物理
  • 天体物理学 天体物理学

背景情况:

  • 跳跃宇宙学模型,包括循环量子宇宙学的模型,可以在膨胀之前产生在宇宙微波背景 (CMB) 中观察到的几乎规模不变的波动光谱.
  • 这些模型本质上产生非高斯度和双光谱,这些理论是为了减轻CMB大规模异常,因为它们的规模依赖性.

研究的目的:

  • 根据观测到的宇宙微波背景 (CMB) 数据,研究反弹宇宙学模型的可行性.
  • 确定拟用于缓解CMB大规模异常的模型是否与观测约束一致.

主要方法:

  • 分析普朗克卫星数据,重点关注宇宙微波背景 (CMB) 观测.
  • 来自反弹模型的理论预测的统计比较,特别是它们的非高斯特征,与普朗克数据相比.
  • 基于观察到的CMB特性偏差的模型排除显著性的评估.

主要成果:

  • 跳跃模型,即使是那些旨在解决CMB异常的模型,也显示出与普朗克数据的显著偏差.
  • 这些模型预测的非高斯性被限制为比减轻大规模CMB异常所需的要小得多.
  • 普朗克数据排除了具有高统计意义的特定模型,范围为5.4至14个标准偏差.

结论:

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Setting Limits on Supersymmetry Using Simplified Models

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  • 旨在解决CMB大规模异常的反弹宇宙学模型受到目前普朗克观测数据的强烈不利.
  • 这些模型中预测的非高斯度与观察到的宇宙微波背景 (CMB) 统计数据不相容.
  • 该研究显著限制了跳跃宇宙学的参数空间,突出了与观测宇宙学的紧张关系.