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What (who) is irrotational vector - definition

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

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

free vector

GEOMETRIC OBJECT THAT HAS MAGNITUDE (OR LENGTH) AND DIRECTION

Vector (classical mechanics); Three-vector; Vector sum; Vector addition; Spatial vector; Vector (physics); Vector subtraction; Relative vector; Spacial vector; Physical vector; Vector methods (physics); Vector component; Component (vector); Bound vector; Vector (spatial); Vector (geometry); Free vector; Vector (geometric); Triangle law; Euclidean vectors; Vector direction; Vector components; 3d vector; Euclid vector; 3D vector; Geometric vector; Magnitude of resultant vector; Euclidian vector; Vector quantity; Resultant vector; Antiparallel vectors

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

Disease vector

AGENT THAT CARRIES AND TRANSMITS AN INFECTIOUS PATHOGEN INTO ANOTHER LIVING ORGANISM

Vector species; Insect-borne disease; Vector (epidemiology); Vector borne transmission; Vector (disease); Vector (parasitology); Insect vectors; Disease vectors; Insect vector; Contagion vector; Vector-borne disease; Disease-vector; Draft:Vector-Borne Disease; Vector competence; Vector-borne

In epidemiology, a disease vector is any living agent that carries and transmits an infectious pathogen to another living organism; agents regarded as vectors are organisms, such as parasites or microbes. The first major discovery of a disease vector came from Ronald Ross in 1897, who discovered the malaria pathogen when he dissected a mosquito.

https://en.wikipedia.org/wiki/Disease_vector

vector graphics

COMPUTER GRAPHICS IMAGES DEFINED BY POINTS, LINES AND CURVES

Vector art; Vector Art; X-Y monitor; Xy monitor; Vector Graphics; Vector image; Vector drawing; Vector images; Object-oriented graphics; Object-Oriented Graphics; Vector version; Vector software; Vectorgraphic; Vector drawings; Vector graphic; Vector illustration; Vector image format; Conversion of vector graphics file formats; Vector artwork; Vector format

<graphics> (Sometimes called "object-oriented" graphics, though it's nothing to do with object-oriented programming). The representation of separate shapes such as lines, polygons and text, and groups of such objects, as opposed to bitmaps. The advantage of vector graphics ("drawing") programs over bitmap ("paint") editors is that multiple overlapping elements can be manipulated independently without using differenet layers for each one. It is also easier to render an object at different sizes and to transform it in other ways without worrying about image resolution and pixels. (2001-02-06)

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