Examples of using Polynomial in English and their translations into Chinese
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If the power of the independent variable(X) is more than 1, then it's known as polynomial regression.
如果自变量（X）的幂大于1，那么它被称为多项式回归。All three of the polynomial functions below represent linear regression(note: we are ignoring a 0 degree case which is not useful in this context).
下面的所有三个多项式函数都代表线性回归（注意：我们忽略了在这种情况下无用的0度情况）。For an infinite impulse response(IIR) filter, the transfer function is not a polynomial, but a rational function.
对于无限脉冲响应(IIR)滤波器，传递函数不是多项式，而是有理函数。Even leading techniques can calculate only polynomial functions- a nonstarter for the many activation functions in machine learning that are non-polynomial.
即使是领先的技术也只能计算多项式函数--对于机器学习中许多非多项式的激活函数来说，这是一个非标准函数。Using the data from the previous table, we first perform the least squares regression procedure to determine the coefficients for each polynomial.
使用上表中的数据，我们首先执行最小二乘回归过程以确定每个多项式的系数。Birkar, a member of Cambridge's Department of Pure Mathematics and Mathematical Statistics, won the award for his work on categorising different kinds of polynomial equations.
贝卡尔是剑桥纯数学和数理统计的成员，因其对不同类型的多项式方程进行分类而获奖。If your data points clearly will not fit a linear regression(a straight line through all data points), it might be ideal for polynomial regression.
如果您的数据点显然不适合线性回归（所有数据点之间的直线），则可能是多项式回归的理想选择。Rolnick and Tegmark proved the utility of depth by asking neural networks to perform a simple task: multiplying polynomial functions.
Rolnick和Tegmark通过让神经网络执行一个简单的任务来证明深度的效用：乘法多项式函数。Here, P are the problems that may be solved in polynomial time; NP are those whose solution may be verified in polynomial time.
P问题就是在多项式时间内可以被解决的问题，NP问题就是在多项式时间内可以被验证其正确性的问题。Note: The result 0.94 shows that there is a very good relationship, and we can use polynomial regression in future predictions.
注意：结果0.94表明存在很好的关系，我们可以在将来的预测中使用多项式回归。Again, due to the properties of BLS primitives, the resulting final secret key share matches the result of the polynomial evaluation of FS(x).
同样，由于BLS原语属性，最终得到的密钥共享与FS(x)的多项式求值结果相匹配。Any given abstract machine will have a complexity class corresponding to the problems which can be solved in polynomial time on that machine.
任何抽象机器都拥有一复杂度类，此类包括可于此机器以多项式时间求解的问题。The result: 0.00995 indicates a very bad relationship, and tells us that this data set is not suitable for polynomial regression.
结果：0.00995表示关系很差，并告诉我们该数据集不适合多项式回归。(Checking each polynomial separately for smoothness would result in total running time larger than 2^128.).
(分别检查每一个多项式将导致运行时间超过2^128)。It is always the case that the highest-degree polynomial possible is n- 1, and in this case that means 3(4- 1).
始终存在可能的最高次多项式为n-1，并且在这种情况下，这意味着3（4-1）。Any polynomial equation has at least one solution in the complex numbers, a result so important that mathematicians call it the fundamental theorem of algebra.
每个多项式方程至少有一个复数解，这是一个非常重要的结果，数学家们称为代数基本定理。In its factored form, this chromatic polynomial tells us something interesting: q= 2 is a root.
在它的因式形式中，这个色多项式告诉了我们一些有趣的事情：q=2是一个根。It asks whether every problem whose solution can be verified in polynomial time can also be solved in polynomial time.
确定每个计算问题的解可以在多项式时间内验证的问题也可以用多项式时间求解。Polynomial comes from poly-(meaning“many”) and nomial-(in this case meaning“term”)….
这字源自poly-（意思是"很多"）和-nomial（在这里的意思是"项"）…….Where p and q are elements of K such that the right hand side polynomial x3- px- q does not have any double roots.
其中p和q为K中的元素，使得右手边的多项式x3-px-q没有二重根。
