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Vector flow in differential topology. Relevant concepts: (flow, infinitesimal generator, integral curve, complete vector field) Let V be a smooth vector field on a smooth manifold M. There is a unique maximal flow D → M whose infinitesimal generator is V.

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Drawing raster data using vector symbols. The Vector Field renderer uses vector symbols to display raster data. This renderer is often used for visualizing flow direction and magnitude rasters, in meteorology and oceanography.

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Divergent vector field with embedded sphere. A sphere is embedded in an expanding vector field that could represent fluid flow. The fact that fluid is flowing out of the sphere is a sign of the positive divergence of the vector field.

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Statistics / Path, text, vector Benjamin Schmidt, an assistant professor of history at Northeastern University, explored the space between words and drew the paths to get from one word to another . The above, for example, is the path between Seinfeld and Breaking Bad .

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The Online Traffic Vector Flow Tiles API provide data on zoom levels ranging from 0 to 20. For zoom level 0, the world is displayed on a single tile, while at zoom level 20, the world is divided into 240 tiles (see: Zoom...

Inception V3: feature_vector. Except as otherwise noted, the content of this page is licensed under the Creative Commons Attribution 3.0 License , and code samples are licensed under the Apache 2.0 License .

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1.3 Vector Fields and Flows. 21 1.3 Vector Fields and Flows. This section introduces vector fields on Euclidean space and the flows they determine.

On the three-sphere $S^3$, I'm given three vector fields $X$, $Y$ and $Z$, such that at each point $p\in S^3$, the tangent vectors $X_p$, $Y_p$ and $Z_p$ form an ...

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The Poynting vector occurs in Poynting's theorem only through its divergence ∇ ⋅ S, that is, it is only required that the surface integral of the Poynting vector around a closed surface describe the net flow of electromagnetic energy into or out of the enclosed volume.

Flux (Surface Integrals of Vectors Fields) Derivation of formula for Flux. Suppose the velocity of a fluid in xyz space is described by the vector field F(x,y,z). Let S be a surface in xyz space. The flux across S is the volume of fluid crossing S per unit time. The figure below shows a surface S and the vector field F at various points on the ...

The vector field is a function that assigns a vector to every point in the region R. Examples of vector fields include the Darcy velocity field and seismic velocities. Examples of vector fields include the Darcy velocity field and seismic velocities.

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The surface integral of a vector field $\dlvf$ actually has a simpler explanation. If the vector field $\dlvf$ represents the flow of a fluid , then the surface integral of $\dlvf$ will represent the amount of fluid flowing through the surface (per unit time).

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Xu and Prince: Gradient Vector Flow: A New External Force for Snakes 67 where and are weighting parameters that control the snake's tension and rigidity, respectively.

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