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Generic sampling and invariant measures on the space of $k$-uniform hypergraphs
2025
We prove a model-theoretic representation theorem for the distribution of an ergodic exchangeable $k$-uniform hypergraph: every such measure arises as the pushforward of the countably-iterated Morley product of a global Borel-definable Keisler measure over th…
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Generic Drug

Pharmaceutical equivalent to a brand-name product

A generic drug (or simply generic ) is a pharmaceutical drug that contains the same chemical substance as a drug that was originally protected by chemical patents. Generic drugs are allowed for sale after the patents on the original drugs expire. Because the active chemical substance is the same, the medical profile of generics is equivalent in performance compared to their performance at the time when they were patented drugs. A generic drug has the same active pharmaceutical ingredient (API) as the original, but it may differ in some characteristics such as the manufacturing process, formulation, excipients, color, taste, and packaging.

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Generic sampling and invariant measures on the space of $k$-uniform hypergraphs
2025
We prove a model-theoretic representation theorem for the distribution of an ergodic exchangeable $k$-uniform hypergraph: every such measure arises as the pushforward of the countably-iterated Morley product of a global Borel-definable Keisler measure over the countable universal homogeneous $k$-uniform hypergraph. We show this by starting with a Borel $k$-hypergraphon $W$ and constructing a Keisler measure $μ_{W}$ such that generic sampling with respect to $μ_{W}$ yields the same invariant measure as does the sta…
Click Generic Drug Vs:
Invariant (Mathematics)
Cluster Sampling
Inverse Transform Sampling
Sampling (Statistics)
Generic Trademark