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  2. Treaty on the Final Settlement with Respect to Germany

    en.wikipedia.org/wiki/Treaty_on_the_Final...

    The Treaty on the Final Settlement with Respect to Germany ( German: Vertrag über die abschließende Regelung in Bezug auf Deutschland[ a] ), more commonly referred to as the Two Plus Four Agreement ( German: Zwei-plus-Vier-Vertrag[ b] ), is an international agreement that allowed the reunification of Germany in October 1990.

  3. Collatz conjecture - Wikipedia

    en.wikipedia.org/wiki/Collatz_conjecture

    As an illustration of this, the parity cycle (1 1 0 0 1 1 0 0) and its sub-cycle (1 1 0 0) are associated to the same fraction ⁠ 5 / 7 ⁠ when reduced to lowest terms. In this context, assuming the validity of the Collatz conjecture implies that (1 0) and (0 1) are the only parity cycles generated by positive whole numbers (1 and 2 ...

  4. Millennium Prize Problems - Wikipedia

    en.wikipedia.org/wiki/Millennium_Prize_Problems

    e. The Millennium Prize Problems are seven well-known complex mathematical problems selected by the Clay Mathematics Institute in 2000. The Clay Institute has pledged a US$ 1 million prize for the first correct solution to each problem. The Clay Mathematics Institute officially designated the title Millennium Problem for the seven unsolved ...

  5. Caleb Williams runs for TD, leads 2 scoring drives as Bears ...

    www.aol.com/caleb-williams-runs-td-leads...

    ANDREW SELIGMAN. August 17, 2024 at 4:01 PM. CHICAGO (AP) — Caleb Williams made another good impression in his first appearance at Soldier Field since Chicago drafted him with the No. 1 overall ...

  6. Yes, Inflation Is Going Down. But Here's Why Prices Aren’t

    www.aol.com/yes-inflation-going-down-heres...

    But Here's Why Prices Aren’t. The annual inflation rate has cooled, new data from the U.S. Bureau of Labor Statistics revealed on Wednesday. The July consumer-price index shows an annual ...

  7. Fibonacci sequence - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_sequence

    Lucas numbers have L 1 = 1, L 2 = 3, and L n = L n−1 + L n−2. Primefree sequences use the Fibonacci recursion with other starting points to generate sequences in which all numbers are composite. Letting a number be a linear function (other than the sum) of the 2 preceding numbers. The Pell numbers have P n = 2P n−1 + P n−2.

  8. Newman–Shanks–Williams prime - Wikipedia

    en.wikipedia.org/wiki/Newman–Shanks–Williams...

    The first few terms of the sequence are 1, 1, 3, 7, 17, 41, 99, … (sequence A001333 in the OEIS). Each term in this sequence is half the corresponding term in the sequence of companion Pell numbers. These numbers also appear in the continued fraction convergents to √ 2. Further reading. Newman, M.; Shanks, D. & Williams, H. C. (1980).

  9. AOL Mail

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    Get AOL Mail for FREE! Manage your email like never before with travel, photo & document views. Personalize your inbox with themes & tabs. You've Got Mail!