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Absolute and Local Extreme Values01:22

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The highest and lowest values of a function, relative to a reference axis, are known as extreme values. These include absolute maximum and absolute minimum values, which represent the highest and lowest points the function reaches across its entire domain. Within a restricted portion of the function, the highest and lowest values are referred to as local maximum and local minimum values, respectively.Periodic functions, such as sine and cosine, show extreme values at infinitely many points due...
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Updated: Feb 8, 2026

Author Spotlight: Quantifying Pain Experience – An Illustrative Approach Using the Pain Body Diagram
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Lower extremity pain and numbness.

Nicholas R Pettit

    Emergency Medicine Journal : EMJ
    |June 23, 2018
    PubMed
    Summary

    A 45-year-old man presented with leg pain and numbness, diagnosed with an abdominal aortic aneurysm (AAA) due to non-dopplerable pulses and imaging findings. This case highlights critical vascular diagnosis in emergency medicine.

    Area of Science:

    • Vascular Surgery
    • Emergency Medicine
    • Diagnostic Imaging

    Background:

    • A 45-year-old male smoker with no prior medical history presented with exertional bilateral lower extremity pain and perineal numbness.
    • Symptoms included buttock and thigh pain radiating to the toes, occurring after 10-15 minutes of walking.
    • Physical examination revealed non-dopplerable lower extremity pulses and symptomatic limitation of ambulation.
    Keywords:
    vascular-arterial

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