Computer Related / Discrete Math / Mathematics / etc.

R.I.P. Kenneth Appel

Imagine that you’re a stingy cartographer and that you want to make a colored map of the united states. Because you’re stingy, you want to avoid spending money on ink. You have to color the map so that no two adjacent states are the same color—otherwise you wouldn’t be able to tell them apart! If you want to buy the fewest colored pens possible, how many colors must you use to make your map? Very early on, mathematicians guessed that the answer was four colors. However, no one could prove it. An example map is in the tittle figure,

Computer Related / Science And Math

Corrections to Vinyl Records Vs Digital Files

In my previous post, it seems I’ve made some serious errors when discussing the technicalities of music recording, both digital and vinyl. This is not my area of expertise and I apparently did not do nearly enough research. Thanks to Gregor Robinson and Jonathan Griffitts for correcting me. Here are Gregor Robinson’s and Jonathan Griffitts’ corrections verbatum. Thanks to both of you. Gregor Robinson said: There is actually a big difference between lossy formats and lossless digital audio formats (which may be in fact compressed; see FLAC). It’s not just that the sample rate is lower. Lossy compression makes

Computer Related / Science And Math

Sound: Vinyl Records Vs. Digital Files

All music is beautiful ~Billy Strayhorn I apologize to everyone who looked for my article earlier today. I was delayed in writing it last night. I think I need to start working ahead and building a buffer. sunstreetreviews asks Audiophile friends tell me that vinyl records have a much richer sound than MP3 files. Is that really the case, and if so, why? In principle, there’s no reason a digital file should produce lower-quality sound than a vinyl record. In reality, tests are inconclusive. Why this is the case has to do with how sound works, and how sound