Calculus How To

Ducci Sequence

Sequence and Series > A Ducci sequence (or N-number game) is a sequence of n-tuples (i.e. a list of integers). Each term in the sequence is formed by finding the absolute difference of neighboring integers [1]. Ducci Sequence Example Example…

Absolutely Continuous

Types of functions > Absolutely continuous real-numbered functions are those functions for which the Fundamental Theorem of Calculus (FTC) holds [1]. In other words, absolute continuity identifies which functions can be antiderivatives: a function on a closed, bounded interval is…

Umbral Calculus

Calculus Definitions > Umbral calculus (also called Blissard Calculus or Symbolic Calculus) is a modern way to do algebra on polynomials. It is a set of exploratory “rules” or a proof technique where indices of polynomial sequences are treated as…