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  2. Infimum and supremum - Wikipedia

    en.wikipedia.org/wiki/Infimum_and_supremum

    There is a corresponding greatest-lower-bound property; an ordered set possesses the greatest-lower-bound property if and only if it also possesses the least-upper-bound property; the least-upper-bound of the set of lower bounds of a set is the greatest-lower-bound, and the greatest-lower-bound of the set of upper bounds of a set is the least ...

  3. Definitions of highest and best use - Wikipedia

    en.wikipedia.org/wiki/Highest_and_best_use

    The Appraisal Institute of Canada defines the term highest and best use as: The reasonably probable and legal use of property, that is physically possible, appropriately supported, and financially feasible, and that results in the highest value.

  4. Boundary (real estate) - Wikipedia

    en.wikipedia.org/wiki/Boundary_(real_estate)

    A unit of real estate or immovable property is limited by a legal boundary (sometimes also referred to as a property line, lot line or bounds). The boundary (in Latin: limes ) may appear as a discontinuation in the terrain: a ditch, a bank, a hedge, a wall, or similar, but essentially, a legal boundary is a conceptual entity, a social construct ...

  5. Evidence lower bound - Wikipedia

    en.wikipedia.org/wiki/Evidence_lower_bound

    This form shows that the ELBO is a lower bound on the evidence ... , which upper-bounds the real quantity of interest ((); ()) via the data-processing inequality ...

  6. Monotone convergence theorem - Wikipedia

    en.wikipedia.org/wiki/Monotone_convergence_theorem

    The theorem states that if you have an infinite matrix of non-negative real numbers , such that the rows are weakly increasing and each is bounded , where the bounds are summable < then, for each column, the non decreasing column sums , are bounded hence convergent, and the limit of the column sums is equal to the sum of the "limit column ...

  7. Least-upper-bound property - Wikipedia

    en.wikipedia.org/wiki/Least-upper-bound_property

    A real number x is called an upper bound for S if x ≥ s for all s ∈ S. A real number x is the least upper bound (or supremum) for S if x is an upper bound for S and x ≤ y for every upper bound y of S. The least-upper-bound property states that any non-empty set of real numbers that has an upper bound must have a least upper bound in real ...

  8. Natural proof - Wikipedia

    en.wikipedia.org/wiki/Natural_proof

    A natural proof is a proof that establishes that a certain language lies outside of C and refers to a natural property that is useful against C. Razborov and Rudich give a number of examples of lower-bound proofs against classes C smaller than P/poly that can be "naturalized", i.e. converted

  9. Cramér–Rao bound - Wikipedia

    en.wikipedia.org/wiki/Cramér–Rao_bound

    [6] [7] It is also known as Fréchet-Cramér–Rao or Fréchet-Darmois-Cramér-Rao lower bound. It states that the precision of any unbiased estimator is at most the Fisher information; or (equivalently) the reciprocal of the Fisher information is a lower bound on its variance.