Action resonance

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  • Since a falling apple around 1665 worked its magic in the imaginative mind of a youthful farmer at Woolsthorpe in Lincolnshire, the meaning of the word action and of the equal and opposite reaction, has been investigated in science and technology. More than 300 years ago this irreversible process had consequences that led to the development of a theory of gravitation still used by space agencies even today.

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  • This ancient Native American proverb and what it implies resonates today as it has become increasingly obvious that people’s actions and interactions with the environment affect not only living conditions now, but also those of many generations to follow. Humans must address the effect they have on the Earth’s climate and how their choices today will have an impact on future generations.

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  • The last decades have marked the beginning of a new era in Celestial Mechanics. The challenges came from several different directions. The stability theory of nearly–integrable systems (a class of problems which includes many models of Celestial Mechanics) profited from the breakthrough represented by the Kolmogorov– Arnold–Moser theory, which also provides tools for determining explicitly the parameter values allowing for stability.

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  • The physical examination is the examination of the patient looking for signs of disease ('Symptoms' are what the patient volunteers, 'Signs' are what the healthcare provider detects by examination). The healthcare provider uses the senses of sight, hearing, touch, and sometimes smell (e.g., in infection, uremia, diabetic ketoacidosis). Taste has been made redundant by the availability of modern lab tests. Four actions are taught as the basis of physical examination: inspection, palpation (feel), percussion (tap to determine resonance characteristics), and auscultation (listen).

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