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  2. Multiple choice - Wikipedia

    en.wikipedia.org/wiki/Multiple_choice

    A multiple choice question, with days of the week as potential answers. Multiple choice (MC), [1] objective response or MCQ (for multiple choice question) is a form of an objective assessment in which respondents are asked to select only the correct answer from the choices offered as a list.

  3. The Big Book (Alcoholics Anonymous) - Wikipedia

    en.wikipedia.org/wiki/The_Big_Book_(Alcoholics...

    In the introduction to the Big Book, William Duncan Silkworth, M.D., a specialist in the treatment of alcoholism, endorses the AA program after treating Bill W., the founder of AA, and other apparently hopeless alcoholics who then regained their health by joining the AA fellowship. "For most cases," Silkworth claimed, "there is no other ...

  4. Alcoholics Anonymous - Wikipedia

    en.wikipedia.org/wiki/Alcoholics_Anonymous

    The same survey showed that AA received 32% of its membership from other members, another 32% from treatment facilities, 30% were self-motivated to attend AA, 12% of its membership from court-ordered attendance, and only 1% of AA members decided to join based on information obtained from the Internet.

  5. Distribution (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Distribution_(mathematics)

    There exists a sequence () = in ′ such that each T i has compact support and every compact subset intersects the support of only finitely many , and the sequence of partial sums () =, defined by := + +, converges in ′ to T; in other words we have: = =.

  6. Mathematics of Sudoku - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_Sudoku

    [1] For classical Sudoku, the number of filled grids is 6,670,903,752,021,072,936,960 (6.671 × 10 21), which reduces to 5,472,730,538 essentially different solutions under the validity-preserving transformations. There are 26 possible types of symmetry, but they can only be found in about 0.005% of all filled grids. An ordinary puzzle with a ...

  7. Mathematical analysis - Wikipedia

    en.wikipedia.org/wiki/Mathematical_analysis

    Instead, much of numerical analysis is concerned with obtaining approximate solutions while maintaining reasonable bounds on errors. Numerical analysis naturally finds applications in all fields of engineering and the physical sciences, but in the 21st century, the life sciences and even the arts have adopted elements of scientific computations.

  8. IB Group 5 subjects - Wikipedia

    en.wikipedia.org/wiki/IB_Group_5_subjects

    At the higher level (HL), there are 3 external examinations and 1 internal examination for both of the IB math courses. [ 3 ] [ 4 ] The external examinations for Analysis and Approaches at the SL level consist of two exams: Paper 1 (which does not allow for the use of technology i.e calculators), and Paper 2 (which is taken with technology).

  9. Net (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Net_(mathematics)

    Then there is a neighborhood of () whose preimage under ,, is not a neighborhood of . Because f ( x ) ∈ U , {\displaystyle f(x)\in U,} necessarily x ∈ V . {\displaystyle x\in V.} Now the set of open neighborhoods of x {\displaystyle x} with the containment preorder is a directed set (since the intersection of every two such neighborhoods is ...