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Related Concept Videos

Locus of Control01:26

Locus of Control

16
Locus of control describes how individuals perceive the causes of events in their lives, influencing motivation and well-being. Introduced by Julian Rotter in 1954, it is categorized into internal and external locus of control.Internal Locus of ControlIndividuals with an internal locus of control believe their actions determine outcomes, fostering responsibility, self-efficacy, and motivation. For example, an employee may attribute career success to hard work. Research links this mindset to...
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Properties of the Root Locus01:05

Properties of the Root Locus

170
The root locus method is an invaluable tool for analyzing higher-order systems without needing to factor the denominator of the transfer function. A pole of the system is identified when the characteristic polynomial in the transfer function's denominator equals zero.
To determine if a point lies on the root locus, the criterion involves the sum of angles contributed by all poles and zeros to that point. Specifically, this sum must be an odd multiple of 180 degrees. The gain at any point on...
170
Root-Locus Method01:19

Root-Locus Method

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A cruise control system in a car is designed to maintain a specified speed automatically by adjusting the gas pedal. The system continuously measures the vehicle's speed and makes fine adjustments to the pedal to achieve this goal. The root locus method is particularly useful for understanding how the cruise control system's behavior changes under varying conditions, such as when the car goes uphill, downhill, or faces strong wind resistance.
This system can be represented by a block...
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Plotting and Calibrating the Root Locus01:19

Plotting and Calibrating the Root Locus

188
Root loci often diverge as system poles shift from the real axis to the complex plane. Key points in this transition are the breakaway and break-in points, indicating where the root locus leaves and reenters the real axis. The branches of the root locus form an angle of 180/n degrees with the real axis, where n is the number of branches at a breakaway or break-in point.
The maximum gain occurs at the breakaway points between open-loop poles on the real axis, while the minimum gain is...
188
Construction of Root Locus01:15

Construction of Root Locus

188
The construction of a root locus involves several key steps to analyze and visualize the behavior of a system's poles with varying gain. The number of branches in the root locus equals the number of closed-loop poles and is symmetrical about the real axis.
For positive gain values, the root locus exists on the real axis to the left of an odd number of finite open-loop poles or zeros. The root locus starts at the open-loop poles and traces the paths of the closed-loop poles as the gain...
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Active Filters01:25

Active Filters

943
Active filters are electronic circuits that use operational amplifiers (op-amps), resistors, and capacitors to filter out unwanted frequency components from a signal. A first-order low-pass active filter is designed to pass signals with a frequency lower than a certain cutoff frequency and attenuate frequencies higher than that cutoff frequency. The transfer function for a first-order low-pass active filter is:
943

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Single Molecule Fluorescence Microscopy on Planar Supported Bilayers
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Locus filters.

Rada Deeb, Graham Finlayson

    Optics Express
    |April 27, 2022
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces the locus filter, a theoretical photographic tool that spectrally transforms Wien-Planckian light to another Wien-Planckian light. Experiments confirm its effectiveness in altering correlated color temperatures, similar to Planckian shifts.

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    Area of Science:

    • Optics
    • Photographic Science
    • Color Theory

    Background:

    • The Wien approximation of Planck's law is crucial for understanding black-body radiation.
    • Previous work by Gage laid theoretical groundwork for spectral mapping.
    • Designing filters that precisely alter light spectra is a persistent challenge in photography.

    Purpose of the Study:

    • To design and theoretically analyze a novel locus filter for photography.
    • To investigate the spectral transformation of Wien-Planckian light using the locus filter.
    • To provide a physical basis for the filter design grounded in the Wien approximation.

    Main Methods:

    • Theoretical design of the locus filter based on Wien's approximation.
    • Mathematical proof of the existence and uniqueness of such filters.
    • Experimental analysis of locus-filtered light, measuring correlated color temperature shifts.
    • Evaluation of filtered light quality using distance from the Planckian locus and color rendering index.

    Main Results:

    • A unique set of locus filters was identified that spectrally map Wien-Planckian light to other Wien-Planckian lights.
    • The spectral shift depends on the specific locus filter and the initial light's color temperature.
    • Experimental results showed that real lights shift in correlated color temperature similarly to theoretical Planckian shifts when filtered.
    • The quality of filtered light was assessed in terms of its deviation from the Planckian locus and its color rendering index.

    Conclusions:

    • The locus filter provides a theoretical framework for spectrally manipulating light sources within the Wien-Planckian locus.
    • The filter's effectiveness in altering correlated color temperature was experimentally validated.
    • Further research can explore practical applications of locus filters in photography and lighting.