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相关概念视频

Design Example: Marking Boundaries of a Site Using a Compass01:12

Design Example: Marking Boundaries of a Site Using a Compass

39
Marking site boundaries using a compass is a precise surveying technique that ensures the accuracy of boundary delineation. The process begins by using provided site details, including the bearings and lengths of each boundary line. The initial step involves calculating latitudes and departures for all sides of the site. This computation verifies that the traverse is free of errors, ensuring a closed and accurate boundary.The process starts at a known point, such as Point A, which is often...
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Bewley Lattice Diagram01:12

Bewley Lattice Diagram

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The Bewley lattice diagram, developed by L. V. Bewley, effectively organizes the reflections occurring during transmission-line transients. It visually represents how voltage waves propagate and reflect within a transmission line, making it easier to understand the complex interactions that occur.
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Magnetic Declination01:19

Magnetic Declination

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Magnetic declination is the angle between true north, which aligns with the Earth's rotational axis, and magnetic north, which follows the direction of the Earth's magnetic field. This discrepancy exists because the magnetic poles do not coincide with the geographic poles. The value of magnetic declination depends on the observer's location on Earth and is subject to changes over time due to the dynamic nature of the Earth's magnetic field.The declination is called eastern when magnetic north...
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Plotting of Topographic Maps01:29

Plotting of Topographic Maps

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Topographic maps represent the Earth's surface features using contour lines, which connect points of equal elevation to create a two-dimensional representation of three-dimensional terrain. Creating a topographic map requires a systematic approach.Begin by plotting a scaled grid and marking intersections corresponding to the survey's elevation data points. Assign elevation values at these intersections to build the base map. Next, determine contour levels using a consistent contour interval,...
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Hückel's Rule Diagram of π MOs: Frost Circle01:08

Hückel's Rule Diagram of π MOs: Frost Circle

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The Frost circle or the inscribed polygon method is a graphical method for determining the relative energies of π molecular orbitals (MOs) for planar, fully conjugated, and monocyclic compounds. This method was first described by A. A. Frost and Boris Musulin in 1953.
A Frost circle is constructed by drawing a polygon whose number of edges is equal to the number of carbons of the given cyclic system, with one of the vertices pointing down. Then, a circle is drawn enclosing the polygon so...
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Coordinates and Map Projections01:29

Coordinates and Map Projections

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Coordinates and map projections are essential tools in accurately representing the Earth's surface for various applications, ranging from navigation to spatial analysis. The latitude and longitude coordinate system is a universally recognized framework for defining locations. Latitude specifies the distance of a point north or south of the equator, measured in degrees from 0° at the equator to 90° at the poles. Longitude indicates a location's position east or west of the prime meridian,...
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相关实验视频

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Using the Horseshoe Crab, Limulus Polyphemus, in Vision Research
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Using the Horseshoe Crab, Limulus Polyphemus, in Vision Research

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一个"可观察"的马地图.

Xu Zhang1, Yukai Wang1, Guanrong Chen2

  • 1Department of Mathematics, Shandong University, Weihai, Shandong 264209, China.

Chaos (Woodbury, N.Y.)
|February 29, 2024
PubMed
概括

研究人员介绍了一种新的差异形态家族,其中包括在全球吸引区域内生长的马. 随着参数的变化,这些结构呈现出越来越多的复杂性,导致可观察到类似马的吸引力.

科学领域:

  • 动态系统 动态系统
  • 混沌理论 混沌理论

背景情况:

  • 在研究数学中连续转换时,diffeomorphisms是基本的.
  • 马是理解混乱动态和奇怪吸引力的关键结构.

研究的目的:

  • 介绍和分析一种新的二元形态家族.
  • 为了研究在全球吸引区域内种植马的现象.
  • 探索在哪些条件下出现类似马的吸引力.

主要方法:

  • 构建一个参数化家族的diffeomorphisms.
  • 对这些地图的几何和拓属性的分析.
  • 调查不变集合作为参数的行为是多样化的.

主要成果:

  • 呈现了一个带有生长马的二形形态家族.
  • 不稳定方向的维度可以是任何固定的整数.
  • 马状的吸引子被证明可以观察到特定的参数值.

结论:

  • 该研究扩大了对参数化系统中混乱动态的理解.
  • 种植马的存在为吸引力形成提供了新的见解.

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  • 可以观察到的马状吸引器证明了这些数学结构的实际相关性.