The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

Some futurists such as Ray Kurzweil have hypothesized that we will someday soon pass through a singularity–that is, a time period of rapid technological change beyond which we cannot envision the ...

Floating-point arithmetic can be expensive if you're using an integer-only processor. But floating-point values can be manipulated as integers, asa less expensive alternative. One advantage of using a ...

Several notions of abstract Volterra operators on spaces of functions of one variable are well known. In this paper, we introduce various notions of abstract Volterra operators in spaces of functions ...

Infinite impulse response (IIR) filter implementations can have different forms (direct, standard, ladder, …), different math (fixed-point or floating-point), and different quantization (number of ...