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  2. 68 (number) - Wikipedia

    en.wikipedia.org/wiki/68_(number)

    68 is a Perrin number. [1] It has an aliquot sum of 58 within an aliquot sequence of two composite numbers (68, 58,32,31,1,0) to the Prime in the 31-aliquot tree. It is the largest known number to be the sum of two primes in exactly two different ways: 68 = 7 + 61 = 31 + 37. [2]

  3. Monty Hall problem - Wikipedia

    en.wikipedia.org/wiki/Monty_Hall_problem

    Even when given explanations, simulations, and formal mathematical proofs, many people still did not accept that switching is the best strategy. [5] Paul Erdős , one of the most prolific mathematicians in history, remained unconvinced until he was shown a computer simulation demonstrating Savant's predicted result.

  4. Wason selection task - Wikipedia

    en.wikipedia.org/wiki/Wason_selection_task

    The rule makes no claims about odd numbers. (Denying the antecedent) If the 8 card is not blue, it violates the rule. (Modus ponens) If the blue card is odd (or even), that doesn't violate the rule. The blue color is not exclusive to even numbers. (Affirming the consequent) If the red card is even, it violates the rule. (Modus tollens)

  5. 10 Hard Math Problems That Even the Smartest People in the ...

    www.aol.com/10-hard-math-problems-even-150000090...

    Even numbers are always 0, 2, or 4 more than a multiple of 6, while odd numbers are always 1, 3, or 5 more than a multiple of 6. Well, one of those three possibilities for odd numbers causes an issue.

  6. YouTube's Ms. Rachel takes on first words and potty training ...

    www.aol.com/youtubes-ms-rachel-takes-first...

    Even the way she talks to children comes from her research on how they learn. She slows down and uses an upbeat voice because that's what helps kids learn best.

  7. Why Apple stock just got a rare downgrade to 'sell' - AOL

    www.aol.com/why-apple-stock-just-got-191254049.html

    The valuation for Apple stock is also near historical extremes, and it's one of the most expensive Magnificent Seven stocks, even though its growth rate has been the slowest among the cohort.

  8. Mathematical puzzle - Wikipedia

    en.wikipedia.org/wiki/Mathematical_puzzle

    Conway's Game of Life and fractals, as two examples, may also be considered mathematical puzzles even though the solver interacts with them only at the beginning by providing a set of initial conditions. After these conditions are set, the rules of the puzzle determine all subsequent changes and moves.

  9. Singly and doubly even - Wikipedia

    en.wikipedia.org/wiki/Singly_and_doubly_even

    A doubly even number is an integer that is divisible more than once by 2; it is even and its quotient by 2 is also even. The separate consideration of oddly and evenly even numbers is useful in many parts of mathematics, especially in number theory, combinatorics , coding theory (see even codes ), among others.

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