Timeline for How do we properly define a coordinate system, in particular its relation to vector spaces?
Current License: CC BY-SA 4.0
4 events
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| Feb 21, 2020 at 20:10 | comment | added | 13509 | Awesome, thanks for the suggestion - I'll go and check it out! Many thanks for putting up with me, if I'm coming across as pedantic it's just because it's quite a confusing topic for the uninitiated! | |
| Feb 21, 2020 at 20:05 | comment | added | Solomon Slow | @JamesWirth, See G. Smith's answer. The mere fact that you can assign coordinates (e.g., lattitude and longitude) to all of the points in some abstract space (e.g., the surface of a sphere) does not mean that you can meaningfully apply the laws of linear algebra to those points (i.e., you can't necessarily manipulate them as vectors.) I highly recommend this book if you want to grok vectors and vector spaces. | |
| Feb 21, 2020 at 19:54 | comment | added | 13509 | I upvoted because you put it really nicely. Though how do we apply this definition if we're using something like spherical coordinates: then the scalar components of the three basis vectors would not be the coordinates? | |
| Feb 21, 2020 at 19:48 | history | answered | Solomon Slow | CC BY-SA 4.0 |