irrotational vector - определение. Что такое irrotational vector
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Что (кто) такое irrotational vector - определение

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
  •  '''E''', electric field strength
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  • 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.
  • Line integral paths used to prove the following statement: if the line integral of a vector field is path-independent, then the vector field is a conservative vector field.
  • Depiction of two possible paths to integrate. In green is the simplest possible path; blue shows a more convoluted curve
Найдено результатов: 538
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         
  • deer tick]], a vector for [[Lyme disease]] pathogens
  • Figure 1. This figure shows how the [[Flavivirus]] is carried by [[mosquito]]s in the [[West Nile virus]] and [[Dengue fever]]. The mosquito would be considered a 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.
vector graphics         
  • Example showing comparison of vector graphics and [[raster graphics]] upon [[magnification]]
  • vectorization]]
  • Detail can be added to or removed from vector art.
  • Asteroids]]''-like video game played on a [[vector monitor]]
  • This vector-based (SVG format) image of a round four-color swirl displays several unique features of vector graphics versus raster graphics: there is no [[aliasing]] along the rounded edge (which would result in [[digital artifacts]] in a raster graphic), the [[color gradient]]s are all smooth, and the user can resize the image infinitely without losing any quality.
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)
Irrotational         
·adj Not rotatory; passing from one point to another by a movement other than rotation;
- said of the movement of parts of a liquid or yielding mass.
Vector graphics         
  • Example showing comparison of vector graphics and [[raster graphics]] upon [[magnification]]
  • vectorization]]
  • Detail can be added to or removed from vector art.
  • Asteroids]]''-like video game played on a [[vector monitor]]
  • This vector-based (SVG format) image of a round four-color swirl displays several unique features of vector graphics versus raster graphics: there is no [[aliasing]] along the rounded edge (which would result in [[digital artifacts]] in a raster graphic), the [[color gradient]]s are all smooth, and the user can resize the image infinitely without losing any quality.
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
Vector graphics is a form of computer graphics in which visual images are created directly from geometric shapes defined on a Cartesian plane, such as points, lines, Curves and polygons. The associated mechanisms may include vector display and printing hardware, vector data models and file formats, as well as the software based on these data models (especially graphic design software, computer-aided design, and geographic information systems).
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.
radius vector         
  • Kinematic quantities of a classical particle: mass&nbsp;''m'', position&nbsp;'''r''', velocity&nbsp;'''v''', acceleration&nbsp;'''a'''
  • [[Space curve]] in 3D. The [[position vector]] '''r''' is parameterized by a scalar ''t''. At '''r''' = '''a''' the red line is the tangent to the curve, and the blue plane is normal to the curve.
VECTOR REPRESENTING THE POSITION OF A POINT WITH RESPECT TO A FIXED ORIGIN
Radius vector; Position Vector; Location vector; Position vector; Position function; Point vector; Position (mathematics); Position (vector); Position (physics); Relative direction; Relative position; Relative direction (geometry)
¦ noun Mathematics a line of variable length extending from a centre to an orbit or other curve.
Attack vector         
METHOD WHICH MALICIOUS CODE UTILIZES TO INFECT A COMPUTER OR PROPAGATES ITSELF
Vector (malware)
In computer security, an attack vector is a specific path, method, or scenario that can be exploited to break into an IT system, thus compromising its security. The term was derived from the corresponding notion of vector in biology.
Radius vector         
  • Kinematic quantities of a classical particle: mass&nbsp;''m'', position&nbsp;'''r''', velocity&nbsp;'''v''', acceleration&nbsp;'''a'''
  • [[Space curve]] in 3D. The [[position vector]] '''r''' is parameterized by a scalar ''t''. At '''r''' = '''a''' the red line is the tangent to the curve, and the blue plane is normal to the curve.
VECTOR REPRESENTING THE POSITION OF A POINT WITH RESPECT TO A FIXED ORIGIN
Radius vector; Position Vector; Location vector; Position vector; Position function; Point vector; Position (mathematics); Position (vector); Position (physics); Relative direction; Relative position; Relative direction (geometry)
·noun An ideal straight line joining the center of an attracting body with that of a body describing an orbit around it, as a line joining the sun and a planet or comet, or a planet and its satellite.
II. Radius vector ·- A straight line (or the length of such line) connecting any point, as of a curve, with a fixed point, or pole, round which the straight line turns, and to which it serves to refer the successive points of a curve, in a system of polar coordinates. ·see Coordinate, ·noun.
Position (geometry)         
  • Kinematic quantities of a classical particle: mass&nbsp;''m'', position&nbsp;'''r''', velocity&nbsp;'''v''', acceleration&nbsp;'''a'''
  • [[Space curve]] in 3D. The [[position vector]] '''r''' is parameterized by a scalar ''t''. At '''r''' = '''a''' the red line is the tangent to the curve, and the blue plane is normal to the curve.
VECTOR REPRESENTING THE POSITION OF A POINT WITH RESPECT TO A FIXED ORIGIN
Radius vector; Position Vector; Location vector; Position vector; Position function; Point vector; Position (mathematics); Position (vector); Position (physics); Relative direction; Relative position; Relative direction (geometry)
In geometry, a position or position vector, also known as location vector or radius vector, is a Euclidean vector that represents the position of a point P in space in relation to an arbitrary reference origin O. Usually denoted x, r, or s, it corresponds to the straight line segment from O to P.

Википедия

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.