Last Updated:2025/11/29
Sentence

2つのn桁の数の積を多くても n^{log_2 3}(約 n^{1.585})回の一桁掛け算にまで減らす高速乗算アルゴリズムは、大きな整数の掛け算に必要な演算回数を劇的に減らし、高精度な計算を高速化した。

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The Karatsuba algorithm dramatically reduced the number of single-digit multiplications needed for large integer multiplication, enabling faster high-precision computations.

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The Karatsuba algorithm dramatically reduced the number of single-digit multiplications needed for large integer multiplication, enabling faster high-precision computations.

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Karatsuba algorithm

Noun
Japanese Meaning
カラツバアルゴリズムは、高速乗算アルゴリズムの一つで、2つのn桁の数を乗算する際、従来の方法よりも少ない単一桁の乗算のみで結果を求める手法です。具体的には、n^(log₂3)(約n^(1.585))回の単桁乗算に削減することで計算の効率を高める方法です。
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2つのn桁の数の積を多くても n^{log_2 3}(約 n^{1.585})回の一桁掛け算にまで減らす高速乗算アルゴリズムは、大きな整数の掛け算に必要な演算回数を劇的に減らし、高精度な計算を高速化した。

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