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  2. New York Regents Examinations - Wikipedia

    en.wikipedia.org/wiki/New_York_Regents_Examinations

    In May 2022, the Regents announced a special appeal for the following examination periods: June 2022, August 2022, January 2023, June 2023, or August 2023. This special appeal is available to all students and allows a student to appeal an earned score of 50-64 on any Regents examination taken during one of the approved examination periods. [40]

  3. Unit (ring theory) - Wikipedia

    en.wikipedia.org/wiki/Unit_(ring_theory)

    In algebra, a unit or invertible element[ a] of a ring is an invertible element for the multiplication of the ring. That is, an element u of a ring R is a unit if there exists v in R such that where 1 is the multiplicative identity; the element v is unique for this property and is called the multiplicative inverse of u. [ 1][ 2] The set of ...

  4. Boolean algebra - Wikipedia

    en.wikipedia.org/wiki/Boolean_algebra

    In mathematics and mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. First, the values of the variables are the truth values true and false, usually denoted 1 and 0, whereas in elementary algebra the values of the variables are numbers. Second, Boolean algebra uses logical operators such ...

  5. Algebra - Wikipedia

    en.wikipedia.org/wiki/Algebra

    Algebra. Elementary algebra studies which values solve equations formed using arithmetical operations. Abstract algebra studies algebraic structures, like the ring of integers given by the set of integers together with operations of addition ( ) and multiplication ( ). Algebra is the branch of mathematics that studies algebraic structures and ...

  6. Abstract algebra - Wikipedia

    en.wikipedia.org/wiki/Abstract_algebra

    In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures, which are sets with specific operations acting on their elements. [ 1] Algebraic structures include groups, rings, fields, modules, vector spaces, lattices, and algebras over a field. The term abstract algebra was coined in the ...

  7. Field (mathematics) - Wikipedia

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

    Informally, a field is a set, along with two operations defined on that set: an addition operation written as a + b, and a multiplication operation written as a ⋅ b, both of which behave similarly as they behave for rational numbers and real numbers, including the existence of an additive inverse −a for all elements a, and of a multiplicative inverse b −1 for every nonzero element b.

  8. History of algebra - Wikipedia

    en.wikipedia.org/wiki/History_of_algebra

    Etymology. The word "algebra" is derived from the Arabic word الجبر al-jabr, and this comes from the treatise written in the year 830 by the medieval Persian mathematician, Al-Khwārizmī, whose Arabic title, Kitāb al-muḫtaṣar fī ḥisāb al-ğabr wa-l-muqābala, can be translated as The Compendious Book on Calculation by Completion ...

  9. Regents of the University of California - Wikipedia

    en.wikipedia.org/wiki/Regents_of_the_University...

    The Regents of the University of California (also referred to as the Board of Regents to distinguish the board from the corporation it governs of the same name) is the governing board of the University of California (UC), a state university system in the U.S. state of California. The Board of Regents has 26 voting members, the majority of whom ...

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