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→Asymptotic complexity
For example, the usual algorithm for integer multiplication has a complexity of <math>O(n^2),</math> this means that there is a constant <math>c_u</math> such that the multiplication of two integers of at most digits may be done in a time less than <math>c_un^2.</math> This bound is sharp in the sense that the worst-case complexity and the average-case complexity are <math>\Omega(n^2),</math> which means that there is a constant <math>c_l</math> such that these complexities are larger than <math>c_ln^2.</math> The radix does not appear in these complexity, as changing of radix changes only the constants <math>c_u</math> and <math>c_l.</math>
For example, the usual algorithm for integer multiplication has a complexity of <math>O(n^2),</math> this means that there is a constant <math>c_u</math> such that the multiplication of two integers of at most digits may be done in a time less than <math>c_un^2.</math> This bound is sharp in the sense that the worst-case complexity and the average-case complexity are <math>\Omega(n^2),</math> which means that there is a constant <math>c_l</math> such that these complexities are larger than <math>c_ln^2.</math> The radix does not appear in these complexity, as changing of radix changes only the constants <math>c_u</math> and <math>c_l.</math>
例如，通常整数'''<font color="#ff8000"乘法 multiplication</font>'''的复杂度是<math>o(n^2)</math>，这这意味着存在一个常数<math>c_u</math>，使得两个最多{{mvar|n}}位数的整数乘法可以在小于<math>c_un^2.</math>的时间内完成。这个界限是尖锐的，因为最坏情况的复杂度和平均情况的复杂度是 < math > Omega (n ^ 2) ，</math > 这意味着存在一个常数 < math > c _ l </math > ，这些复杂度比 < math > c _ ln ^ 2大。这些复杂性中没有出现基数，因为基数的变化只有常数[ math > c _ u ]和[ math > c _ l ]。数学
例如，通常整数'''<font color="#ff8000">乘法 multiplication</font>'''的复杂度是<math>O(n^2),</math>，这意味着存在一个常数<math>c_u</math>，使得两个最多{{mvar|n}}位的整数乘法可以在小于<math>c_un^2.</math>的时间内完成。这个界限是尖锐的，因为最坏情况复杂度和平均情况复杂度是<math>\Omega(n^2),</math>，意味着存在一个常数<math>c_l</math>，使得这些复杂度比<math>c_ln^2.</math>大。这些复杂度中没有出现'''<font color="#ff8000">基数 radix</font>'''，因为基数只改变常数<math>c_u</math>和<math>c_l.</math>
==Models of computation==
==Models of computation==