Translating mathematics into code: Examples in Java, Python, Haskell and Racket
Translating math into code with examples in Java, Racket, Haskell and Python Discrete mathematical structures form the foundation of computer science. These structures are so universal that most research papers in the theory of computation, programming languages and formal methods present concepts in terms of discrete mathematics rather than code. The underlying assumption is that the reader will
The illustrated guide to a Ph.D.
Every fall, I explain to a fresh batch of Ph.D. students what a Ph.D. is. It's hard to describe it in words. So, I use pictures. Read below for the illustrated guide to a Ph.D. Update: Print version, slides and translations, CC licensing terms. Update: I wrote a follow-up to this 5 years later -- HOWTO: Get tenure.
Relational shell programming
Relational algebra is a theory for manipulating relations whose power is equivalent to SQL and relational calculus. Remarkably, relational algebra has only six primitive operations. I define the six primitives below, but if you're looking for a comprehensive work on relational theory, particularly as it relates to modern databases, I recommend Date's SQL and Relational Theory: Relations in Unix Ma
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