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・ Reducing atmosphere
・ Reducing emissions from deforestation and forest degradation
・ Reducing equivalent
・ Reducing Excessive Deadline Obligations Act of 2013
・ Reducing Regulatory Burdens Act of 2013
・ Reducing sugar
・ Reduct
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・ Reductase kinase
・ Reductio
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・ Reductio ad Hitlerum
・ Reduction
・ Reduction (complexity)
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Reduction (mathematics)
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・ Reduction (recursion theory)
・ Reduction (Sweden)
・ Reduction criterion
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・ Reduction fishery
・ Reduction formula
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・ Reduction of Hours of Work (Glass-Bottle Works) Convention, 1935 (shelved)
・ Reduction of Hours of Work (Public Works) Convention, 1936
・ Reduction of Hours of Work (Textiles) Convention, 1937


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Reduction (mathematics) : ウィキペディア英語版
Reduction (mathematics)

In mathematics, reduction refers to the rewriting of an expression into a simpler form. For example, the process of rewriting a fraction into one with the smallest whole-number denominator possible (while keeping the numerator an integer) is called "reducing a fraction". Rewriting a radical (or "root") expression with the smallest possible whole number under the radical symbol is called "reducing a radical". Minimizing the number of radicals that appear underneath other radicals in an expression is called denesting radicals.
==Algebra==
In linear algebra, ''reduction'' refers to applying simple rules to a series of equations or matrices to change them into a simpler form. In the case of matrices, the process involves manipulating either the rows or the columns of the matrix and so is usually referred to as ''row-reduction'' or ''column-reduction'', respectively. Often the aim of reduction is to transform a matrix into its "row-reduced echelon form" or "row-echelon form"; this is the goal of Gaussian elimination.

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