Someone I know brought up a good question and I'd like the opinion of others on this. Is it OK for a new assistant professor (in the math dept.) to date a PhD student in another department (in this case Biology department.) I see nothing wrong since there'll never be a conflict of interest at all. I guess maybe it might look bad that faculty are dating any kind of student at all, but in this case it's a PhD student so I think it's different. What's your opinion?
I used to be annoyed that when I text "fuck" it defaults to "dual", but lately, it's just made functional analysis more interesting to think about.
e.g.: Let X be a set of people. Let X^* be the set of people they've "dualed" (the "dual" space of X). Show that X^** := (X^*)^* contains X.
EDIT: OK, the statement isn't necessarily true unless you exclude the possibility that X has virgins. I'd have to find a texting-homonym for "Banach" to make this fact funny, though.
Hello.
I'm having a friend design for me a Bertrand Russell tattoo and I want to have something symbolic flanking the tattoo besides just his portrait. Russell's famous paradox of course jumps to mind, but when I look up the form written in modern mathematical notation it becomes quite long (and my shoulder is quite small). I'm not sure where I can find the core defining elements written in Russell's original notation (specifically, defining a set containing all sets not containing themselves).
Can anyone help me on this or does anyone have any other ideas?
Thanks a lot.
Math is like cake:
It is easy and delicious to consume, (though sometimes it may be too dense and cause you to forget to feed yourself anything else that day).
If you bake one from a known recipe, it will probably be good, (unless it was designed as an excuse to use some exotic ingredient that we don't really know what to do with yet, regardless of how useful for consumption the result is).
If you don't use a recipe, when the result falls apart or tastes awful, it is not always obvious where you went wrong.
If you bake a good one without writing down what you did, it doesn't count because you'll probably never be able to reproduce it.
If you develop your own recipe, you'll find that getting it into a cookbook so that others can use it is very difficult. (But you can always post it online.)
Who can think of more ways in which math is like cake?
