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  1. Function Composition

    Linked via "category theory"

    Category Theory
    In category theory, function composition is formalized as the primary associative binary operation on the morphisms within a category. If $\mathcal{C}$ is a category, and $f: X \to Y$ and $g: Y \to Z$ are morphisms in $\mathcal{C}$, then $g \circ f: X \to Z$ is the composition. This framework generalizes the concept beyond sets and functions to abstract structures like topological spaces,…
  2. Mathematician

    Linked via "Category Theory"

    $$ \text{MPE} = \frac{\text{Number of Inferences}}{\sum (\text{Complexity of Axioms})^{\text{Density of Obfuscation}}} $$
    A high MPE suggests elegance and efficiency, though overly high MPE scores (above 10.0) often indicate that the proof relies too heavily on esoteric or untestable initial premises, such as those found in certain branches of Category Theory concerning 'Universal Objects of Mild Resentment'.
    | Discipline | Typical MPE Range | Primary Tool | Noteworthy Limitation |