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  2. Chinese remainder theorem - Wikipedia

    en.wikipedia.org/wiki/Chinese_remainder_theorem

    Sunzi's original formulation: x ≡ 2 (mod 3) ≡ 3 (mod 5) ≡ 2 (mod 7) with the solution x = 23 + 105k, with k an integer In mathematics, the Chinese remainder theorem states that if one knows the remainders of the Euclidean division of an integer n by several integers, then one can determine uniquely the remainder of the division of n by the product of these integers, under the condition ...

  3. List of states and territories of the United States - Wikipedia

    en.wikipedia.org/wiki/List_of_states_and...

    A map of the United States showing its 50 states, federal district and five inhabited territories. Alaska, Hawaii, and the territories are shown at different scales, and the Aleutian Islands and the uninhabited northwestern Hawaiian Islands are omitted from the map. The United States of America is a federal republic [1] consisting of 50 states ...

  4. Cartography of the United States - Wikipedia

    en.wikipedia.org/wiki/Cartography_of_the_United...

    The cartography of the United States is the history of surveying and creation of maps of the United States. Maps of the New World had been produced since the 16th century. The history of cartography of the United States begins in the 18th century, after the declared independence of the original Thirteen Colonies on July 4, 1776, during the ...

  5. Mathematics education in the United States - Wikipedia

    en.wikipedia.org/wiki/Mathematics_education_in...

    e. Mathematics education in the United States varies considerably from one state to the next, and even within a single state. However, with the adoption of the Common Core Standards in most states and the District of Columbia beginning in 2010, mathematics content across the country has moved into closer agreement for each grade level.

  6. Number theory - Wikipedia

    en.wikipedia.org/wiki/Number_theory

    Mathematics. Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." [1]

  7. Euler–Maclaurin formula - Wikipedia

    en.wikipedia.org/wiki/Euler–Maclaurin_formula

    In mathematics, the Euler–Maclaurin formula is a formula for the difference between an integral and a closely related sum. It can be used to approximate integrals by finite sums, or conversely to evaluate finite sums and infinite series using integrals and the machinery of calculus. For example, many asymptotic expansions are derived from the ...