The document discusses the dichotomy between SIMD (Single Instruction stream, Multiple Data stream) and MIMD (Multiple Instruction stream, Multiple Data stream) parallel computing platforms, focusing on their control structures and processing units. SIMD processors execute the same instruction across multiple processors, often requiring an activity mask for selective computation, while MIMD processors can handle different instructions on different data. The comparison highlights that SIMD systems require less hardware but are costlier and have longer design cycles, whereas MIMD platforms can be constructed from cheaper, off-the-shelf components.