Additivity refers to the property of a system where the whole is equal to the sum of its parts, often used in linear systems and probability theory. It is a fundamental principle in various fields, ensuring that combined effects can be understood by simply summing individual contributions.

Additivity

property of a system

whole is equal to the sum of its parts

Linear systems are mathematical models of systems that can be described using linear equations, where the principle of superposition applies, meaning the output is directly proportional to the input. They are foundational in understanding and analyzing various phenomena in engineering, physics, and applied mathematics, allowing for simplified solutions and predictions of system behavior.

linear systems

Probability theory is a branch of mathematics that deals with the analysis and interpretation of random phenomena and the likelihood of various outcomes. It provides a framework for quantifying uncertainty and making predictions based on incomplete information, which is fundamental in fields ranging from statistics to quantum mechanics.

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