Okay, so, instead the blackhats break into the factory that is manufacturing the chips and modify the firmware that is being written to them. Now, every USB keyboard that the company manufactures looks to the computer as both a USB keyboard, and a USB network device.
I'm sure you remember those instances where malware was being pre-installed onto pre-formatted external drives, right?
Sure, there's a lot more to be done to turn that "Fake network device" into something that can trick the OS into treating it as a default gateway, as well as acting as a forwarding device so that modified packets can make it out the _real_ gateway, but... it only needs one weird combination of behaviours... somewhere... to be effective.
78a7ecf065324604540ad3c41c3bb8fe1d084c50 ? Really ? Crap... that's the combination to my luggage.
But apart from that, I haven't used any serious math in a long time.
So, it depends... I think the more you rely on interacting or emulating "the real world", the more important math is.
> Couldn't you describe any star in such a fashion?
For any range X there is a "youngest star" within that range. The reverse is not true.
Hunt down an oldish game called Colobot. Windows only game. Its a typical "world exploration" game but with one very interesting addition.
You can either control the myriad of robots manually, OR... program in a very C++-like language and let them "have at it".
The game encourages code re-use, so once you've coded a particular operation, you're encouraged to re-use it for subsequent levels.
One of the most fun coding experiences I've ever had.