Abstract: The natural encoding for many search and optimization problems is the permutation, such as the traveling salesperson, vehicle routing, scheduling, assignment and mapping problems, among ...

Abstract: Functions of complex variables arise frequently in the formulation of signal processing problems. The basic calculus rules on differentiation and integration for functions of complex ...

85% of enterprises want to become agentic within three years — yet 76% admit their operations can’t support it. According to the Celonis 2026 Process Optimization Report, based on a survey of more ...

We walk through an optimization problem step by step, clearly explaining how to identify variables, set up the correct function, apply derivatives, and find maximum or minimum values. Each step is ...

Fractional order calculus (FOC) deals with integrals and derivatives of arbitrary (i.e., non-integer) order, and shares its origins with classical integral and differential calculus. However, until ...

Divya Tyagi, right, a Penn State engineering graduate student, shows her work on a century-old math problem to Sven Schmitz, a College of Engineering faculty member and Tyagi's adviser.Kevin Sliman A ...

Sigal Samuel is a correspondent for Vox’s Future Perfect. She writes primarily about the future of consciousness, tracking advances in artificial intelligence and neuroscience and their staggering ...

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With its bright colors, easy-to-learn rules and familiar music, the video game Tetris has endured as a pop culture icon over the last 40 years. Many people, like me, have been playing the game for ...