Activity for Technically Naturalâ€
| Type | On... | Excerpt | Status | Date |
|---|---|---|---|---|
| Edit | Post #280654 | Initial revision | — | about 3 years ago |
| Answer | — |
A: Classification of topological points This may not completely answer your question, but it sounds like what you're talking about is related to the concept of topological embedding. A function $f: X\to Y$ that is a homeomorphism from $X$ to $f(X)$ is called an embedding. For a given $X$ and $Y$, the existence of an embedding of $X$ in $Y$... (more) |
— | about 3 years ago |
| Comment | Post #280496 |
Oh, I see. I was mistakenly thinking of $Q_j$ as a vector instead of a number. (more) |
— | over 3 years ago |
| Edit | Post #280495 | Initial revision | — | over 3 years ago |
| Question | — |
Why does this definition of generalized forces work? I don't understand an equation in the discussion of Lagrangian Mechanics in the book Mathematical Aspects of Classical and Celestial Mechanics by Arnold et al. (section 1.2.1). For context, they are considering a set of $n$ particles. The set of functions $\mathbf{r}i:\mathbb{R}\to\mathbb{R}^3$ gi... (more) |
— | over 3 years ago |