Accidentally at first.
Accidentally at first.
I’ll give it a shot.
We can use vector spaces for thinking about things that aren’t primarily concerned with physical space like we are in Blender. Let’s imagine something practical, if a bit absurd. Pretend we have unlimited access to three kinds of dough. Each has flour, water, and yeast in different ratios. What we don’t have is access to the individual ingredients.
Suppose we want a fourth kind of dough which is a different ratio of the ingredients from the doughs we have. If the ratios of the ingredients of the three doughs we already have are unique, then we are in luck! We can make that dough we want by combining some amount of the three we have. In fact, we can make any kind of dough that is a combination of those three ingredients. In linear algebra, this is called linear independence.
Each dough is a vector, and each ingredient is a component. We have three equations (doughs) in three variables (ingredients).
This is a three dimensional vector space, which is easy to visualize. But there is no limit to how many dimensions you can have, or what they can represent. Some economic models use vectors with thousands of dimensions representing inputs and outputs of resources. Hopefully my explanation helps us see how vectors can sometimes be more difficult to imagine as directions and magnitudes.
… That’s enough real analysis for me today. Or ever, really.
… I reluctantly accept your offer.
I receive: chair. You receive: lap. Do we have a deal?
About half were wiped out by flu, measles, and chicken pox when contact was made in the 80s.
Finna give ‘im the ol’ skippity pap
You mean like when divorced parents agree not to fight around their child? I don’t see what could go wrong.
Am I looking at mayonnaise? That’s like 1:2 mayo to dog ಠ_ಠ
If you can’t summarize your love for somebody with bullet points, do you really even love them?
M’aiq? I’ve been calling him ‘Mike’ this whole time. Why didn’t somebody tell me?
That sounds Korean AF
Sure, why not.
dons bib
Why can’t you just draw dicks like a normal person?
I eat that free hotdog every week, then go across the street and buy another one.
I don’t get it. Could you explain it to me?