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 ...

Modular electronics face a problem in getting new and old components to communicate with each other in a fast and simple way. The MIT chip, however, uses flashes of light to convey information between ...

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 ...

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 ...