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Takes a scalar field as input and produces a vector field.
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Mnemonic: the gradient shows the direction in which the function increases fastest.
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Think of a color gradient going from white to black from left to right.
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Therefore, it has to:
  • take a scalar field as input. Otherwise, how do you decide which vector is larger than the other?
  • output a vector field that contains the direction in which the scalar increases fastest locally at each point. This has to give out vectors, since we are talking about directions
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Ancestors

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