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Related Concept Videos

Polar Coordinates01:24

Polar Coordinates

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The polar coordinate system offers an alternative to the Cartesian coordinate system for specifying points in a plane, using a distance and an angle instead of x and y coordinates. This system is particularly advantageous in situations involving circular or rotational symmetry, such as in physics or engineering problems involving waves, oscillations, or orbital paths.Defining Polar CoordinatesIn polar coordinates, a point is represented as P(r, ��), where r is the radial distance...
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Polar Equations of Conics01:29

Polar Equations of Conics

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A conic section can be defined in polar coordinates as the set of all points whose distance from a fixed point, known as the focus, bears a constant ratio to their distance from a fixed line, known as the directrix. This constant ratio is called the eccentricity. This definition unifies all types of conic sections—ellipses, parabolas, and hyperbolas—under a single framework. When the focus is positioned at the origin of the polar coordinate system, a single polar equation can...
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Polar and Cylindrical Coordinates01:22

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The Cartesian coordinate system is a very convenient tool to use when describing the displacements and velocities of objects and the forces acting on them. However, it becomes cumbersome when we need to describe the rotation of objects. So, when describing rotation, the polar coordinate system is generally used.
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Curvilinear Motion: Polar Coordinates01:27

Curvilinear Motion: Polar Coordinates

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In polar coordinates, the motion of a particle follows a curvilinear path. The radial coordinate symbolized as 'r,' extends outward from a fixed origin to the particle, while the angular coordinate, 'θ,' measured in radians, represents the counterclockwise angle between a fixed reference line and the radial line connecting the origin to the particle.
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Light Acquisition02:16

Light Acquisition

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In order to produce glucose, plants need to capture sufficient light energy. Many modern plants have evolved leaves specialized for light acquisition. Leaves can be only millimeters in width or tens of meters wide, depending on the environment. Due to competition for sunlight, evolution has driven the evolution of increasingly larger leaves and taller plants, to avoid shading by their neighbors with contaminant elaboration of root architecture and mechanisms to transport water and nutrients.
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Skewness01:06

Skewness

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The measures of central tendency calculated from a data set may not reveal much about its intrinsic distribution. If a plot is made of the data set’s values, the mean and the median may not only differ, but also the plot may have more values on one side of the central tendencies. Such a data set is said to be skewed towards that side.
The longer the tail of the plot on one side, the more skewed it is. The skewness of a data set’s values suggests that the measures of central tendency...
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Visualization Method for Proprioceptive Drift on a 2D Plane Using Support Vector Machine
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Polarized skylight compass based on a soft-margin support vector machine working in cloudy conditions.

Huaju Liang, Hongyang Bai, Ning Liu

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    This study introduces a novel skylight compass for bio-inspired navigation, effectively suppressing cloud interference. The method enhances heading determination accuracy under various meteorological conditions.

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    Area of Science:

    • Optics and photonics
    • Bio-inspired robotics
    • Atmospheric science

    Background:

    • Skylight polarization patterns aid insect navigation.
    • Existing polarization navigation sensors lack robustness in cloudy weather.
    • Meteorological conditions significantly impact navigation accuracy.

    Purpose of the Study:

    • To develop a bio-inspired heading determination method robust to cloud disturbances.
    • To improve navigation accuracy in challenging meteorological conditions.
    • To address limitations in current polarization-based navigation systems.

    Main Methods:

    • Designed a skylight compass method to suppress cloud disturbances.
    • Transformed heading determination into a binary classification problem via segmentation, connected component detection, and inversion.
    • Utilized a soft-margin support vector machine to solve the classification problem, accounting for noise and weather.

    Main Results:

    • Constructed a pixelated polarization compass platform for real-time data acquisition.
    • Field experiments demonstrated the method's effectiveness in suppressing cloud interference.
    • The proposed method outperformed existing techniques in navigation accuracy under adverse conditions.

    Conclusions:

    • The developed skylight compass method offers enhanced robustness for bio-inspired navigation systems.
    • This approach significantly improves heading determination accuracy despite cloud cover.
    • The study contributes a practical solution for reliable navigation in variable weather.