| 11. | We wish to show that the cartesian product of these sets is nonempty.
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| 12. | The graph of a function is contained in a Cartesian product of sets.
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| 13. | The Cartesian product of an infinite set and a nonempty set is infinite.
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| 14. | Higher order prismatic polytopes also exist as cartesian products of any two polytopes.
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| 15. | The graph of an empty function is a subset of the Cartesian product.
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| 16. | The cartesian product of two curves also provides examples.
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| 17. | The Cartesian product of two circles may be taken to obtain a duocylinder.
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| 18. | Another construction of is the Cartesian product of two-vertex complete graphs.
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| 19. | Some complex polytopes can be represented as Cartesian products.
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| 20. | Can you imagine the torus as a cartesian product in the manner described?
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