We present an asymptotically fast algorithm for the numerical evaluation of modular functions such as the elliptic modular function j. Our algorithm makes use of the natural connection between the ...

Lehner's 1949 results on the j-invariant showed high divisibility of the function's coefficients by the primes p ∈ {2, 3, 5, 7}. Expanding his results, we examine a canonical basis for the space of ...

Engineers at MIT have developed a modular computer chip with components that can communicate using flashes of light. This could allow for electronics that can easily be upgraded with new sensors or ...

Mitogen-activated protein kinase (MAPK) networks are essential for the transmission of extracellular signals into appropriate intracellular responses. Prototypical MAPK activation implements a ...

Separating interface from implementation has many practical benefits. Here’s a simple way to do just that, in ANSI-standard C code. How do you organize medium-sized or larger C programs? Few C ...