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The Armijo rule is important in optimization algorithms because it helps determine the step size for moving towards the optimal solution. It ensures that the algorithm converges efficiently by balancing the trade-off between making progress towards the solution and avoiding overshooting it.

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Q: What is the significance of the Armijo rule in optimization algorithms?
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E.F. Codd, the famous mathematician has introduce 12 rules for the relational model for databases commonly known as Codd's rules. The rules mainly define what is required for a DBMS for it to be considered relational , i.e., an RDBMS. There is also one more rule i.e Rule00 which specifies the relational model should use the relational way to manage the database. The rules and their description is as follows:- Rule 000:A RDBMS system should be capable of using its relationalfacilities (exclusively) to manage the database. Rule 1: The information rule : All information in the database is to be represented in one and only one way. This is achieved by values in column positions within rows of tables. Rule 2 : The guaranteed access rule : All data must be accessible with no ambiguity.This is achieved in the RDBMS by using the primary key concept. Rule 3: Systematic treatment of null values : The DBMS must allow each field to remain null. The null can be stored in any field of any datatype. 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Integrity Constraints Integrity constraints must be specified separately from application programs and stored in the catalog. It must be possible to change such constraints when they are unnecessarily affecting existing applications. Rule 11. Database Distribution The RDBMS may spread across more than one system and across several networks, however the tables should appear in same manner to every user like local users. Rule 12. The Non Subversion rule If the system provides a low-level interface, then that interface cannot be used to weaken the system (e.g.) bypassing a relational security or integrity constraint.