Translation and analysis of words by ChatGPT artificial intelligence
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What (who) is irrotational circulation - definition
![[[3D rendering]] of a [[high resolution computed tomography]] of the [[thorax]]. The anterior thoracic wall, the airways and the pulmonary vessels anterior to the [[root of the lung]] have been digitally removed in order to visualize the different levels of the pulmonary circulation.](https://commons.wikimedia.org/wiki/Special:FilePath/3D CT of thorax, annotated.jpg?width=200 "[[3D rendering]] of a [[high resolution computed tomography]] of the [[thorax]]. The anterior thoracic wall, the airways and the pulmonary vessels anterior to the [[root of the lung]] have been digitally removed in order to visualize the different levels of the pulmonary circulation.")
![Image showing main pulmonary artery coursing ventrally to the [[aortic root]] and [[trachea]]. The right pulmonary artery passes dorsally to the [[ascending aorta]], while the left pulmonary artery passes ventrally to the [[descending aorta]].](https://commons.wikimedia.org/wiki/Special:FilePath/Relations of the aorta, trachea, esophagus and other heart structures.png?width=200 "Image showing main pulmonary artery coursing ventrally to the [[aortic root]] and [[trachea]]. The right pulmonary artery passes dorsally to the [[ascending aorta]], while the left pulmonary artery passes ventrally to the [[descending aorta]].")
Wikipedia
In vector calculus, a conservative vector field is a vector field that is the gradient of some function. A conservative vector field has the property that its line integral is path independent; the choice of any path between two points does not change the value of the line integral. Path independence of the line integral is equivalent to the vector field under the line integral being conservative. A conservative vector field is also irrotational; in three dimensions, this means that it has vanishing curl. An irrotational vector field is necessarily conservative provided that the domain is simply connected.
Conservative vector fields appear naturally in mechanics: They are vector fields representing forces of physical systems in which energy is conserved. For a conservative system, the work done in moving along a path in a configuration space depends on only the endpoints of the path, so it is possible to define potential energy that is independent of the actual path taken.
