Profile cover photo
Profile photo
John Cook
28,873 followers -
Applied mathematician, consultant, expert witness
Applied mathematician, consultant, expert witness

28,873 followers
About
John Cook's posts

"Anytime someone puts a lock on something you own, against your wishes, and doesn't give you the key, they're not doing it for your benefit." -- Doctorow's Law, Cory Doctorow

In context Doctorow is talking about DRM etc. One exception I thought of would be parents locking their children out of something. You might imagine, for example, a child owning a gun, but only being allowed to use it with their parents. In that case, the parents are acting for the child's benefit.

You could argue that in this case the child doesn't fully own the gun. Neither do you fully own something that you use at the pleasure of a vendor.

This example creates an analogy between corporations and parents, and between customers and incompetent children. I think that's an apt analogy for Apple products.

Post has attachment

Post has attachment
Corners stick out more in high dimensions.

If you have a spike sticking out of something and draw a ball around the tip, the spike doesn't make up much of the volume of a ball. So you can quantify how pointy a corner is by how little volume it makes up of a ball around it. By this measure, the corners of a cube stick out much more as dimension increases.

Post has attachment
Phase plots

"When you see something that is technically sweet, you go ahead and do it and argue about what to do about it only after you’ve had your technical success. That is the way it was with the atomic bomb." -- J. Robert Oppenheimer 

Post has attachment

Post has attachment
Photo

Post has attachment
Photo

Post has attachment
In a high-dimensional sphere, nearly all the area is located near the equator. This post explains what that means and provides simulation code to help you convince yourself that it's true.

Post has attachment
Wait while more posts are being loaded