Through the ages, the sound of music in myriad incarnations has captivated human beings and made them sing along, and as scholars have suspected for centuries, the mysterious force that shapes the melodies that catch the ear and lead the voice is none other than math.
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The connection between music and mathematics has fascinated scholars for centuries.
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Many animals, including humans, frequently face the task of getting from one place to another. Although many navigational strategies exist, all vertebrate species readily use geometric cues; things such as walls and corners to determine direction within an enclosed space.
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A new cryogenic refrigerator has been demonstrated at the National Institute of Standards and Technology (NIST) that operates at twice the usual frequency, achieving a long-sought combination of small size, rapid cooling, low temperatures and high efficiency.
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Experiments designed to test discrepancies in theoretical computational chemistry have turned up a barely two-angstrom difference that may lead to a new approach to locate and remove dangerous toxins such as perchlorate and nitrates from the environment.
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