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  2. CAP theorem - Wikipedia

    en.wikipedia.org/wiki/CAP_theorem

    Database systems designed with traditional ACID guarantees in mind such as RDBMS choose consistency over availability, whereas systems designed around the BASE philosophy, common in the NoSQL movement for example, choose availability over consistency.

  3. Lagrange multiplier - Wikipedia

    en.wikipedia.org/wiki/Lagrange_multiplier

    The Lagrange multiplier theorem states that at any local maximum (or minimum) of the function evaluated under the equality constraints, if constraint qualification applies (explained below), then the gradient of the function (at that point) can be expressed as a linear combination of the gradients of the constraints (at that point), with the ...

  4. Consistency (database systems) - Wikipedia

    en.wikipedia.org/wiki/Consistency_(database_systems)

    In database systems, consistency (or correctness) refers to the requirement that any given database transaction must change affected data only in allowed ways. Any data written to the database must be valid according to all defined rules, including constraints, cascades, triggers, and any combination thereof. This does not guarantee correctness ...

  5. Augmented Lagrangian method - Wikipedia

    en.wikipedia.org/wiki/Augmented_Lagrangian_method

    Augmented Lagrangian methods are a certain class of algorithms for solving constrained optimization problems. They have similarities to penalty methods in that they replace a constrained optimization problem by a series of unconstrained problems and add a penalty term to the objective, but the augmented Lagrangian method adds yet another term designed to mimic a Lagrange multiplier.

  6. Atomicity (database systems) - Wikipedia

    en.wikipedia.org/wiki/Atomicity_(database_systems)

    In database systems, atomicity (/ ˌ æ t ə ˈ m ɪ s ə t i /; from Ancient Greek: ἄτομος, romanized: átomos, lit. 'undividable') is one of the ACID (Atomicity, Consistency, Isolation, Durability) transaction properties. An atomic transaction is an indivisible and irreducible series of database operations such that either all occur ...

  7. The 6 most common headache types — and when to see a doctor

    www.aol.com/6-most-common-headache-types...

    Certain types of headaches may be a sign of a more serious condition, such as a brain tumor or aneurysm, especially if the pain is sudden or severe, according to Cohen. "This highlights the ...

  8. Gang-tied illegal immigrant ‘giggled’ as he confessed to ...

    www.aol.com/gang-tied-illegal-immigrant-giggled...

    A Honduras gang member who was illegally in the US “giggled” as he admitted kidnapping a young Texas woman at gunpoint and threatening to pimp her out and sell her organs, according to cops.

  9. Hindley–Milner type system - Wikipedia

    en.wikipedia.org/wiki/Hindley–Milner_type_system

    The counter-example fails because the replacement is not consistent. The consistent replacement can be made formal by applying a substitution = { , … } to the term of a type , written . As the example suggests, substitution is not only strongly related to an order, that expresses that a type is more or less special, but also with the all ...