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  2. Professional Sports Authenticator - Wikipedia

    en.wikipedia.org/wiki/Professional_Sports...

    “Defendant knew a certain sports card was i) a tampered card; ii) was not an authentic PSA-graded card; and iii) a card that had never been graded by PSA, by its own admission to Plaintiff.” (Cardregistry v. Collectors Universe, ¶ 5.) PSA authenticated the Graded Card, effectively legitimizing the fraudulent PSA 10 designation.

  3. Limit inferior and limit superior - Wikipedia

    en.wikipedia.org/wiki/Limit_inferior_and_limit...

    In mathematical analysis, limit superior and limit inferior are important tools for studying sequences of real numbers.Since the supremum and infimum of an unbounded set of real numbers may not exist (the reals are not a complete lattice), it is convenient to consider sequences in the affinely extended real number system: we add the positive and negative infinities to the real line to give the ...

  4. Characterizations of the exponential function - Wikipedia

    en.wikipedia.org/wiki/Characterizations_of_the...

    () (using x ≥ 0 to obtain the final inequality) so that: = One must use lim sup because it is not known if t n converges. For the other inequality, by the above expression for t n , if 2 ≤ m ≤ n , we have: 1 + x + x 2 2 !

  5. List of most expensive sports cards - Wikipedia

    en.wikipedia.org/wiki/List_of_most_expensive...

    Thus, for example, the T206 Honus Wagner is represented on this list by one particular card's 2021 sale and does not include the same card's 2012 sale for $1.2 million or the Jumbo Wagner and its $3.12 million sale price. Cards are evaluated by third-party services, most often Professional Sports Authenticator (PSA), Beckett Grading Services ...

  6. Set-theoretic limit - Wikipedia

    en.wikipedia.org/wiki/Set-theoretic_limit

    In mathematics, the limit of a sequence of sets,, … (subsets of a common set ) is a set whose elements are determined by the sequence in either of two equivalent ways: (1) by upper and lower bounds on the sequence that converge monotonically to the same set (analogous to convergence of real-valued sequences) and (2) by convergence of a sequence of indicator functions which are themselves ...

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  8. Infimum and supremum - Wikipedia

    en.wikipedia.org/wiki/Infimum_and_supremum

    The supremum (abbreviated sup; pl.: suprema) of a subset of a partially ordered set is the least element in that is greater than or equal to each element of , if such an element exists. [1] If the supremum of S {\displaystyle S} exists, it is unique, and if b is an upper bound of S {\displaystyle S} , then the supremum of S {\displaystyle S} is ...

  9. List of non-sports trading cards - Wikipedia

    en.wikipedia.org/wiki/List_of_non-sports_trading...

    The following is a list of non-sports trading cards collections released among hundreds of card sets. The list includes different types that are or have been available, including animals , comics , television series , motor vehicles and movies , among others: