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real arithmetic is simpler than complex arithmetic, complex analysis is simpler than real analysis
everyone knew how to do systolic arrays for a long time. the bigger challenge is designing the memory system and all the stuff around it.
floating point number is really a struct containing 3 values: 1-bit sign, 8-bit exponent, and 23-bit mantissa
having a central compositor adds some latency, but it allows Apple to make a fashion statement with UIs
will there be a polynomial time algorithm for determining if a number is square-free?
give set S, and a subset T ⊆ S, if the XOR of T is zero, the elements are linearly dependent. can we use this property for compression?
noob: subsets are bijective with binary representations of naturals. however, this breaks if you restrict subsets to be contiguous only
to all the theory builders of math out there, how do you name new mathematical objects when you’re defining them for the first time? is there a scheme/spec for this?
your codebase is just a directed accidentally-cyclic graph of tech debt that somehow passes tests
the phenomenon of decimal expansion of 1/7 is fascinating: en.wikipedia.org/wiki/Cyclic_nu…
its like you boot up a copy of reality to play out strategies
for fixed workloads, using tail calls (jmp over call) can be more efficient. a neat example that's applied on protobuf parsers by @JoshHaberman: blog.reverberate.org/2021/04/21/mus…
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