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One can alternatively use a set-theoretic definition of a persistence module that is equivalent to the categorical viewpoint: A persistence module is a pair (,) where is a collection {} of -vector spaces and is a collection {,} of linear maps where ,: for each , such that ,, =, for any (i.e., all the maps commute).
The additive persistence of 2718 is 2: first we find that 2 + 7 + 1 + 8 = 18, and then that 1 + 8 = 9. The multiplicative persistence of 39 is 3, because it takes three steps to reduce 39 to a single digit: 39 → 27 → 14 → 4. Also, 39 is the smallest number of multiplicative persistence 3.
Persistence (discontinuity), a concept in geotechnical engineering; Persistence (linguistics), a principle of grammaticalization; Persistence (psychology), a personality trait; Persistence of vision, a theory on how the illusion of motion in films is achieved; Persistence forecasting, predicting the future to be the same as the present
The persistence length equals the average projection of the end-to-end vector on the tangent to the chain contour at a chain end in the limit of infinite chain length. [4] The persistence length can be also expressed using the bending stiffness , the Young's modulus E and knowing the section of the polymer chain. [2] [5] [6] [7]
In the partial persistence model, a programmer may query any previous version of a data structure, but may only update the latest version. This implies a linear ordering among each version of the data structure. [3] In the fully persistent model, both updates and queries are allowed on any version of the data structure.
A form of simulated persistence referred to as "pseudo-persistence" has been used in both video games and pervasive games. Pseudo-persistence means making relevant world data available when the relevant players reconnect to the world instance. In a mobile game, a virtual world might exist on a distributed collection of mobile devices.
I’ll shoot for 15-20 days straight, then take a break for a week. Instead of shooting, I read, I watch films, I look out the window, observe the light, watch how birds move, how they behave.
Grand Theft Auto fan communities have been essential to the growth of the modding scene. Modders were able to exchange knowledge and team up in order to create new tools, mods and documentation. [8]