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For example, 1 / 4 , 5 / 6 , and −101 / 100 are all irreducible fractions. On the other hand, 2 / 4 is reducible since it is equal in value to 1 / 2 , and the numerator of 1 / 2 is less than the numerator of 2 / 4 . A fraction that is reducible can be reduced by dividing both the numerator ...
Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication.
Simplification is the process of replacing a mathematical expression by an equivalent one that is simpler (usually shorter), according to a well-founded ordering. Examples include:
In graph-theoretic terms, the theorem states that for a loopless planar graph, its chromatic number is ().. The intuitive statement of the four color theorem – "given any separation of a plane into contiguous regions, the regions can be colored using at most four colors so that no two adjacent regions have the same color" – needs to be interpreted appropriately to be correct.
To obtain free passage back to India, labourers had to have been above age twelve upon arrival, completed at least five years of service and lived in Fiji for a total of ten consecutive years. Children born to these labourers in Fiji could accompany their parents or guardian back to India under age twelve.
Simplified Chinese characters are one of two standardized character sets widely used to write the Chinese language, with the other being traditional characters.Their mass standardization during the 20th century was part of an initiative by the People's Republic of China (PRC) to promote literacy, and their use in ordinary circumstances on the mainland has been encouraged by the Chinese ...