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Nonlinear 

Not simple, not easy to resolve. Comes from math: whenever you see the word "linear", you know it's easy.

This word is not restricted to use in math.
y'' = -sin(y) <- The nonlinear pendulum.
y'' = -y <- Linearized (nonrealistic) pendulum.

"meselfs, I have girl troubles. I have no friends so I'm asking you, a known dateless loser."
"Sounds pretty nonlinear. Unfortunately, I can only suggest you go tensile test yourself."
Nonlinear by meselfs May 22, 2005

nonlinear catastrophic structural exasperation 

The sudden, unexplainable, transition of wood, metal, plastic, concrete into an explosive state.

Example: OH NOES!! MY DESK IS SUFFERING FROM NONLINEAR CATASTROPHIC STRUCTURAL EXASPERATION!!!
Example: OH NO!! My desk is suffering from nonlinear catastrophic structural exasperation!!!

nonlinear response 

A reaction that is out of measure with its impetus.
Kyle: "Hey Linda, have you got the time?"
Linda: "Eat a dick Kyle"
Brian: "nonlinear response there Linda. Its 9:30 Kyle"
nonlinear response by jake jeckle December 19, 2008

Nonlinear Systems

Systems where the output is not proportional to the input—where small changes can produce huge effects, and large changes can produce tiny effects. Nonlinear Systems are the norm in reality: ecosystems, economies, bodies, societies. They're characterized by thresholds, feedback loops, and emergence. Unlike linear systems, which are predictable and controllable, nonlinear systems are wild, surprising, and often uncontrollable. Nonlinear Systems theory is the foundation of complexity thinking, the recognition that we live in a world where cause and effect are not simple, where interventions backfire, where prediction is hard. It's the mathematics of humility, the proof that the world is not a machine.
Example: "He thought management was linear: more pressure, more output. But the team was a nonlinear system: at some threshold, pressure caused collapse, not productivity. Nonlinear Systems theory explained why his simple model failed: the world doesn't do proportional. He had to learn to think differently—or keep breaking things."

Nonlinear Logic

The study of logical systems that incorporate nonlinearity—where conclusions don't follow linearly from premises, where feedback loops exist, where self-reference creates paradox. Nonlinear Logic includes paraconsistent logic (which tolerates contradictions), fuzzy logic (which handles degrees of truth), and various forms of non-classical logic. It's logic for a nonlinear world, logic that can handle complexity, contradiction, and emergence. Nonlinear Logic is the foundation of reasoning about systems that don't behave linearly, about arguments that loop back on themselves, about truths that are not simple.
Example: "His logic assumed linearity: if A implies B and B implies C, then A implies C. But real arguments often looped, fed back, contradicted. Nonlinear Logic gave him tools for that world: paraconsistent logic for contradictions, fuzzy logic for gradations. He could finally reason about complexity without forcing it into linear boxes."

Nonlinear Sciences

The plural form, recognizing that there are multiple approaches, multiple methods, multiple frameworks for studying nonlinear phenomena. Nonlinear Sciences includes chaos theory, complexity science, network theory, systems theory, and more. Each offers different tools for different aspects of nonlinear reality. The plural matters because nonlinear phenomena are diverse—what works for ecosystems may not work for economies; what explains turbulence may not explain social change. Nonlinear Sciences is the recognition that complexity requires pluralism, that one size does not fit all, that the tools must match the territory.
Example: "He thought one theory would explain all complexity. Nonlinear Sciences showed him otherwise: different phenomena needed different tools. Chaos theory for weather, network theory for social systems, complexity theory for ecosystems. The plural mattered: no single science could capture all nonlinearity. He stopped looking for one theory and started collecting many."