The polynomial x^2 + 1 is an
irreducible element in the field of rational numbers.
这个多项式x^2 + 1是理性数域中的不可约元素。
The group Z_6 (the integers modulo 6) is an
irreducible subgroup of the integers under addition.
整数模6的群Z_6是整数在加法下的不可约子群。
The Rubik's Cube cannot be reduced to a simpler state without disassembling it.
拼图魔方无法在不拆解的情况下简化到更简单的状态。
The mineral crystal structure is an
irreducible unit cell, meaning it cannot be divided into smaller, identical repeating units.
这种矿物晶体结构是一个不可分割的基本单元格,意味着它不能被分成更小且相同的重复单位。
In mathematics, a prime number is an
irreducible factor in the ring of integers.
在数学中,质数是整数环中的不可约因子。
An
irreducible molecule cannot be broken down into simpler chemical compounds without undergoing a chemical reaction.
不可约分子在不发生化学反应的情况下不能分解成更简单的化合物。
The
irreducible representation of a group is one that cannot be expressed as a direct sum of other representations.
群的不可约表示是不能表示为其他表示的直和的形式。
A linear transformation is reducible if its matrix can be block-diagonalized, but it's
irreducible if this is not possible.
线性变换如果可以矩阵分块对角化,则称其为可约的,否则称为不可约的。
The game of chess has no
irreducible strategy; every move can be analyzed and responded to.
国际象棋没有不可还原的策略,每一个行动都可以分析并作出回应。
An
irreducible polynomial of degree n over a field F has exactly n roots in an algebraic closure of F.
在一个域F上的一个不可约多项式n次方程,当扩展到F的代数闭包时,恰好有n个根。
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