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Etymologie

irrotational vector - Übersetzung nach russisch

CONCEPT IN VECTOR CALCULUS

Irrotational; Irrotational field; Gradient field; Potential vector field; Conservative field; Curl free field; Curl-free vector field; Irrotational vector field; Irrotational flow; Irrotational Flow

$The above vector field <math>\mathbf{v} = \left( - \frac{y}{x^2 + y^2},\frac{x}{x^2 + y^2},0 \right)</math> defined on <math>U = \R^3 \setminus \{ (0,0,z) \mid z \in \R \}</math>, i.e., <math>\R^3</math> with removing all coordinates on the <math>z</math>-axis (so not a simply connected space), has zero curl in <math>U</math> and is thus irrotational. However, it is not conservative and does not have path independence.$

irrotational vector

общая лексика

безвихревой вектор

irrotational field

математика

безвихревое поле

irrotational

[irə'teiʃ(ə)nəl]

общая лексика

безвихревый

безроторный

бесциркулярный

бесциркуляционный

невихревой

неповоротимый

неротативный

физика

безвихревой

Смотрите также

irrotational circulation; irrotational field; irrotational flow; irrotational vector; irrotational vibrations

прилагательное

общая лексика

безвихревой

безроторный

Definition

free vector

¦ noun Mathematics a vector of which only the magnitude and direction are specified, not the position or line of action.

Weitere Definitionen anzeigen

Wikipedia

Conservative vector field

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.

https://en.wikipedia.org/wiki/Conservative vector field

Übersetzung von &#39irrotational vector&#39 in Russisch