Activity for ziggurismâ€
| Type | On... | Excerpt | Status | Date |
|---|---|---|---|---|
| Answer | — |
A: What is special about the 11-cell and 57-cell? The abstract polytopes which admit realizations are special, and the very concept of an abstract polytope exists to generalize and categorize the polytopes first understood through their realizations. The classical proof by Euclid that there are only five regular convex polyhedra is considered so ... (more) |
— | 6 months ago |
| Answer | — |
A: Is the nth Betti number determined by orientability? If you are an algebraic topologist then you might take $\betan(M)=1$ as the definition of orientable. So to answer your question, we first have to decide on a different definition of "orientable" than $\betan(M)=1.$ Usually the alternative notions of orientability are calculus based, about either ... (more) |
— | 6 months ago |
| Answer | — |
A: What did James Stewart mean by "the line integral reduces to an ordinary single integral in this case" ? A line integral is integrated with respect to arc parameter. If the path you're integrating along is the $x$-axis, then the arc parameter can be taken to be just $x$, and so the integral is identical to an ordinary integral with respect to $x$. You are right that it's a bit improper to write $f(x,... (more) |
— | over 1 year ago |