Piecewise functions partition their domain into intervals for different definitions. Functions are defined using array of functions and associated subdomains. Subdomains must cover entire domain and be pairwise disjoint. Subdomains can be intervals, points, or unbounded intervals
Requirements are conditions that must be satisfied for acceptable work output. Requirements can be product-specific or process-based. Requirements are documented and used in various engineering fields
L'Hôpital's rule was first introduced by Johann Bernoulli in 1694. It allows evaluating limits of indeterminate forms using derivatives. The rule was published by Guillaume De l'Hôpital in 1696
International politics emerged from the need to prevent war. Science of international politics began as a response to popular demand. Purpose precedes analysis in political science. Political science studies both what is and what ought to be
Squeeze theorem states that if f(x) lies between g(x) and h(x) and their limits are equal, then f(x) equals L. Theorem was proposed by Hugo Steinhaus and proved by Stefan Banach. Proof uses definition of limits and shows that f(x) cannot escape from equal limits
Calculus was independently developed by Newton and Leibniz in the 17th century. Ancient Egyptians and Greeks laid foundation for calculus through geometry. Cavalieri introduced heuristic methods using infinitely small segments. Descartes developed analytic geometry for algebraic descriptions