Every software engineer should read Google's Spanner paper.
Spanner proved CAP theorem wrong by inventing TrueTime that achieved <7ms clock synchronization at planet-scale.
Very few innovations impact software we use as much. Must read.
Still all in the hands of one man. But based on these comments the off-ramp is being pieced together if he eventually wants to take it.
The administration doubling down on China and leaving the door open for negotiation with everyone else.
This is not a trick: the cosine of the imaginary number 𝑖 is (e⁻¹ + e)/2.
How on Earth does this follow from the definition of the cosine? No matter how hard you try, you cannot construct a right triangle with an angle 𝑖. What kind of sorcery is this?
Read on to find out.
Is math discovered or invented? Most scientists say discovered. I used to agree. But I’ve come to think we invent systems to impose order, and math is our most powerful language for expressing that order.
Long before LaTeX, most mathematical theses relied on hand-inserted symbols.
But in 1968, Dennis Ritchie - creator of C - typeset his entire thesis, subscripts and all, with astonishing accuracy.
How exactly he pulled it off remains a mystery.
Learn more in this week's paper