Vibe coding — the fast-growing trend of using generative AI to spin up code from plain-language prompts — is quick, creative, and great for instant prototypes. But many argue that it's not cut out for ...

Some of the oldest puzzles in history involve “figuring out” people’s ages. They are found in ancient texts across cultures, demonstrating a long-standing fascination with imaginative and logical ...

Propositional logic includes sentence letters (A, B, C, etc), which are assigned truth values, and logical connectives (AND, OR, NOT, IMPLICATION, EQUIVALENCE), but not quantifiers. This is also ...

In forecasting economic time series, statistical models often need to be complemented with a process to impose various constraints in a smooth manner. Systematically imposing constraints and retaining ...

Getting input from users is one of the first skills every Python programmer learns. Whether you’re building a console app, validating numeric data, or collecting values in a GUI, Python’s input() ...

JSON Prompting is a technique for structuring instructions to AI models using the JavaScript Object Notation (JSON) format, making prompts clear, explicit, and machine-readable. Unlike traditional ...

Multiplication in Python may seem simple at first—just use the * operator—but it actually covers far more than just numbers. You can use * to multiply integers and floats, repeat strings and lists, or ...

Predicate logic is an extension of propositional logic. Here we consider what is called first-order predicate logic, abbreviated FOL (sometimes abbreviated PL1, not to be confused with the programming ...

Earlier this month, 36 sharp-witted high school students from around the globe stepped foot on the warm and breezy campus of Stanford University. Out of more than 4,000 students from more than 2,000 ...