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2. Hurwitz's theorem (composition algebras) - Wikipedia

   en.wikipedia.org/wiki/Hurwitz's_theorem...

   This is easy to check when A is associative, since M n (A) is an associative algebra so a Jordan algebra with X ∘Y = ⁠ 1 / 2 ⁠ (X Y + Y X). When A = O and n = 3 a special argument is required, one of the shortest being due to Freudenthal (1951). [7] In fact if T is in H 3 (O) with Tr T = 0, then =

3. Brauer group - Wikipedia

   en.wikipedia.org/wiki/Brauer_group

   For example, if A is a central simple algebra over a local field or global field, then Albert–Brauer–Hasse–Noether showed that the index of A is equal to the period of A. [ 11 ] For a central simple algebra A over a field K of transcendence degree n over an algebraically closed field, it is conjectured that ind( A ) divides per( A ) n −1 .

4. Algebraic logic - Wikipedia

   en.wikipedia.org/wiki/Algebraic_logic

   In mathematical logic, algebraic logic is the reasoning obtained by manipulating equations with free variables.. What is now usually called classical algebraic logic focuses on the identification and algebraic description of models appropriate for the study of various logics (in the form of classes of algebras that constitute the algebraic semantics for these deductive systems) and connected ...

5. Abu Kamil - Wikipedia

   en.wikipedia.org/wiki/Abu_Kamil

   The first chapter teaches algebra by solving problems of application to geometry, often involving an unknown variable and square roots. The second chapter deals with the six types of problems found in Al-Khwarizmi's book, [ 9 ] but some of which, especially those of x 2 {\displaystyle x^{2}} , were now worked out directly instead of first ...

6. Federal Board of Intermediate and Secondary Education

   en.wikipedia.org/wiki/Federal_Board_of...

   The FBISE was established under the FBISE Act 1975. [2] It is an autonomous body of working under the Ministry of Federal Education and Professional Training. [3] The official website of FBISE was launched on June 7, 2001, and was inaugurated by Mrs. Zobaida Jalal, the Minister for Education [4] The first-ever online result of FBISE was announced on 18 August 2001. [5]

7. The EU and a South American trade bloc reach a giant trade ...

   www.aol.com/eu-south-american-trade-bloc...

   The European Union reached a blockbuster free trade agreement Friday with Brazil, Argentina and the three other South American nations in the Mercosur trade alliance, capping a quarter-century of ...

8. Trump's policies may not prove inflationary, Bernanke, others say

   www.aol.com/news/trumps-policies-may-not-prove...

   A number of leading economists, including advisers to past U.S. presidents, have coalesced around the view that President-elect Donald Trump's plans to broaden tariffs, cut taxes and curb ...

9. I Wore A Purity Ring As A Teen — But I Was Dealing With A ...

   www.aol.com/wore-purity-ring-teen-dealing...

   I tried to think of it as a math problem, 3 + 7 = howthehelldidIgethere? “You need to go on the pill,” the Nurse said. “I’m sending you home with a prescription, and you’ll start taking ...