"dimension" in inglés with examples - Collocation dictionary inglés
- The dimension of a continuum usually means its topological dimension.
- It was first described by while exploring the concept of topological dimension.
- The topological dimension of the Menger sponge is one, the same as any curve.
- The topological dimension tells you how many different little balls connect a given point to other points in the space, generically.
- But the topological dimension doesn't tell you anything about volumes.
- A curve that is almost space-filling can still have topological dimension one, even if it fills up most of the area of a region.
- It is also possible for the isoperimetric dimension to be larger than the topological dimension.
- Both are curves with topological dimension of 1, so one might hope to be able to measure their length or slope, as with ordinary lines.
- The topological dimension of a discrete space is equal to 0.
- An algebraic curve likewise has topological dimension two; in other words, it is a surface.
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