Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License
 v. Thirdperson singular simple present indicative form of factorize.
Etymologies
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Examples

This implies that, whenever the overall statevector factorizes into the product of a state of the Hilbert space of the physical system S and of the rest of the world, S does possess some properties

The joint probability of any distinct, correlated events, x and y, which are not causally connected to each other, factorizes upon the union of their partial

The idea is that the probability of each of the outcomes is determined by ˜local events,™ i.e., events that are confined to its backward lightcone, and which can only exert subluminal or luminal influences on it (see Figure 3 below); and the distant outcomes are fundamentally independent of each other, and thus their joint probability factorizes.

In sections 57, we considered the nature of quantum nonlocality as depicted by theories that violate factorizability, i.e., the assumption that the probability of joint measurement outcomes factorizes into the single probabilities of these outcomes.

For recall that in this theory the state of a system does not consist in its wave function, but rather in the system's position, and the position of a composite system always factorizes into the positions of its subsystems.

The argument that Maxwell had given in 1860 to single out this distribution relied on the fact that this is the only probability distribution that is both spherically symmetric and factorizes into functions of the orthogonal components

 1 factorizes as 23×89, so it's a Mersenne number but not a Mersenne prime.
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