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  2. Completeness (logic) - Wikipedia

    en.wikipedia.org/wiki/Completeness_(logic)

    Semantic completeness is the converse of soundness for formal systems. A formal system is complete with respect to tautologousness or "semantically complete" when all its tautologies are theorems, whereas a formal system is "sound" when all theorems are tautologies (that is, they are semantically valid formulas: formulas that are true under every interpretation of the language of the system ...

  3. Complete theory - Wikipedia

    en.wikipedia.org/wiki/Complete_theory

    In mathematical logic, a theory is complete if it is consistent and for every closed formula in the theory's language, either that formula or its negation is provable. That is, for every sentence φ , {\displaystyle \varphi ,} the theory T {\displaystyle T} contains the sentence or its negation but not both (that is, either T ⊢ φ ...

  4. Spectator ion - Wikipedia

    en.wikipedia.org/wiki/Spectator_ion

    They are present in total ionic equations to balance the charges of the ions. Whereas the Cu 2+ and CO 2− 3 ions combine to form a precipitate of solid CuCO 3. In reaction stoichiometry, spectator ions are removed from a complete ionic equation to form a net ionic equation. For the above example this yields:

  5. Chemical reaction network theory - Wikipedia

    en.wikipedia.org/wiki/Chemical_reaction_network...

    Dynamical properties of reaction networks were studied in chemistry and physics after the invention of the law of mass action.The essential steps in this study were introduction of detailed balance for the complex chemical reactions by Rudolf Wegscheider (1901), [1] development of the quantitative theory of chemical chain reactions by Nikolay Semyonov (1934), [2] development of kinetics of ...

  6. Family 'Coordinates' Christmas Gifts — Then Their Grandma ...

    www.aol.com/lifestyle/family-coordinates...

    After the exchange, Hulse and her family gathered all the items and returned them to their grandma to take home. "I hope people cherish the relationships they have with their grandparents and ...

  7. P versus NP problem - Wikipedia

    en.wikipedia.org/wiki/P_versus_NP_problem

    R vs. RE problem, where R is analog of class P, and RE is analog class NP. These classes are not equal, because undecidable but verifiable problems do exist, for example, Hilbert's tenth problem which is RE-complete. [57] A similar problem exists in the theory of algebraic complexity: VP vs. VNP problem. This problem has not been solved yet.

  8. Are you stretching correctly? Fitness experts break down what ...

    www.aol.com/type-stretch-best-workout-130042087.html

    Editor’s note: Before beginning any new exercise program, consult your doctor.Stop immediately if you experience pain. As you head into the gym, you likely already have a workout plan in mind ...

  9. How to Finally Get Your Dog to Stop Jumping on Guests Once ...

    www.aol.com/finally-dog-stop-jumping-guests...

    Train an Incompatible Behavior. While using management, train your dog to perform specific behaviors that are incompatible with jumping. You will need to train these until your dog reaches a ...