The reason this objection doesn’t make the post completely useless...
Sorry, I hope I didn’t suggest I thought that! You make a good point about some variables being more natural in given applications. I think it’s good to keep in mind that sometimes it’s just a matter of coordinate choice, and other times the points may be separated but not in a linear way.
I mean, it doesn’t matter whether you think it, right? It matters whether it’s true. Like, if I were to were to write a completely useless blog post on account of failing to understand the concept of a change of basis, then someone should tell me, because that would be helping me stop being deceived about the quality of my blogging.
Thanks for the reply, Zack.
Sorry, I hope I didn’t suggest I thought that! You make a good point about some variables being more natural in given applications. I think it’s good to keep in mind that sometimes it’s just a matter of coordinate choice, and other times the points may be separated but not in a linear way.
I mean, it doesn’t matter whether you think it, right? It matters whether it’s true. Like, if I were to were to write a completely useless blog post on account of failing to understand the concept of a change of basis, then someone should tell me, because that would be helping me stop being deceived about the quality of my blogging.