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The polynomial has three distinct roots, hence its multiplicity is three.
这个多项式有三个不同的根，因此它的重数是三。
The function f(x) has a zero of multiplicity two at x = 3.
函数f(x)在x=3处有一个重数为二的零点。
In music theory, the term "octave" refers to an interval with a frequency ratio of 2:1, which is said to have a complexity or multiplicity of one.
在音乐理论中，“八度”指的是频率比为2:1的音程，这被认为具有一次复杂性或多重性。
The equation y = x^3 - 6x^2 + 9x has a repeated root at x = 3 with multiplicity two.
方程y=x^3-6x^2+9x在x=3处有一个重数为二的重复根。
In mathematics, the order of a pole of a complex function is its multiplicity as a singularity.
在数学中，复函数极点的阶数就是它作为奇点的重数。
The graph of the quadratic function has a vertex of multiplicity two.
二次函数的图像有一个重数为二的顶点。
The molecule CO2 has a molecular symmetry of D∞h, which indicates a high degree of symmetry and multiplicity in its vibrational modes.
CO2分子的分子对称性为D∞h，表明其振动模式具有高度对称性和多重性。
In quantum mechanics, the energy levels of an atom can have different multiplicities due to the spin of electrons.
在量子力学中，由于电子自旋的原因，原子的能量级可以有不同的重数。
A polynomial of degree n can have at most n distinct roots, each with a multiplicity that does not exceed n.
次数为n的多项式最多有n个不同的根，每个根的重数不超过n。
In statistics, the mode of a probability distribution is its value with the highest multiplicity, meaning it appears most frequently in the data.
在统计学中，概率分布的众数是出现次数最多的值，即数据中最频繁出现的那个值。