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The answer depends on how it is halved. If the plane is divided in two by a step graph (a zig-zag line) then it will not be a convex set.

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Yes, you can bring a half-empty toothpaste tube on a plane as long as it is within the liquid restrictions set by the Transportation Security Administration (TSA), which is typically 3.4 ounces or 100 milliliters.


Can you bring half-empty toothpaste on a plane?

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Can I bring a half-empty toothpaste tube on a plane"?

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Is the intersection of any two half-planes necessarily a half-plane?

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