13 lines
625 B
Markdown
13 lines
625 B
Markdown
#rs/notes #rs/class/math163
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- Level curve
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- A 2D shape that results from setting a two-variable equation equal to a constant
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- can help to see the shape of a 3D function
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- basically like taking horizontal slices out of a two-variable function
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- Vertical trace
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- similar to level curve, finding the 2D shape from a vertical slice
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- can find with either $f(a, y) = z$ for constant $x = a$ or $f(x, b) = z$ for constant $y=b$
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- Both of these are used to visualize 3D functions in 2D
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- Functions of 3 variables
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- there is no great way to visualize these in 3 dimensions
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- have to take 3D "slices" out of the 4D shape |