polynomial

简明释义

英[ˌpɒliˈnəʊmiəl]美[ˌpɑːliˈnoʊmiəl]

adj. 多项的，多词的；多项式的

n. 多项式；多词拉丁学名；表示任何多项数之和

英英释义

单词用法

同义词

反义词

例句

1.Note however, there is a pseudo-polynomial dynamic programming solution to subset sum that might be utilized here as well.

然而，有一个伪多项式时间的动态规划的解决方案的子集这可能被利用在这里就好了。

2.Shor's algorithm, for example, is able to find the period of a function of N bits in polynomial time.

例如 Shor的算法能在多项式时间内找到一个N位函数的周期。

3.The polynomial multiplication is performed by sub-polynomial multiplications and additions.

多项式乘法由子多项式的乘法和加法实现。

4.Based on the relationship between the group delay function and the cepstral coefficients, the denominator polynomial coefficients can be determined.

根据群延迟函数与倒谱系数之间的关系，可以确定分母的多项式系数。

5.Objective To discuss the clinical application of polynomial curves fitting.

目的探讨多项式拟合曲线在临床中的应用。

6.The fitted line in the figure is a 3rd-degree polynomial, but any sort of smoothing would tell you that there is a massive upward trend.

拟和线是一个三次多项式的形式，但是任何形式的平滑都会告诉你有一个大的上升趋势。

7.The degree of a polynomial 多项式 is determined by the highest power of its variable.

一个polynomial 多项式 的次数由其变量的最高幂决定。

8.The sum of two polynomial 多项式 functions is also a polynomial 多项式 function.

两个polynomial 多项式 函数的和也是一个polynomial 多项式 函数。

9.A polynomial 多项式 function can be graphed to visualize its behavior.

可以绘制polynomial 多项式 函数的图形，以可视化其行为。

10.In algebra, a polynomial 多项式 is an expression consisting of variables and coefficients.

在代数中，polynomial 多项式 是由变量和系数组成的表达式。

11.You can factor a quadratic polynomial 多项式 to find its roots.

你可以对一个二次polynomial 多项式 进行因式分解以找到它的根。

作文

In the realm of mathematics, one cannot overlook the significance of the term polynomial. A polynomial is a mathematical expression that consists of variables and coefficients, combined using addition, subtraction, multiplication, and non-negative integer exponents. Understanding polynomials is crucial not only in pure mathematics but also in various applications across different fields such as physics, engineering, and economics.To illustrate the importance of polynomials, let us consider their role in algebra. A simple example of a polynomial is 2x^2 + 3x + 5, where 'x' is the variable, and 2, 3, and 5 are the coefficients. The highest power of the variable in this polynomial is 2, which indicates that it is a quadratic polynomial. Quadratic polynomials often represent parabolic shapes when graphed, making them essential for understanding projectile motion in physics.Moreover, polynomials can be classified based on their degree. For instance, a polynomial of degree zero is a constant, while a first-degree polynomial represents a linear function. The study of these different types of polynomials helps students grasp the foundational concepts of calculus, such as limits, derivatives, and integrals. In addition to their theoretical importance, polynomials have practical applications. For example, engineers often use polynomial equations to model real-world situations, such as the trajectory of a vehicle or the stress-strain relationship in materials. By utilizing polynomial functions, they can predict outcomes and optimize designs effectively.Furthermore, polynomial interpolation is a technique used in numerical analysis to estimate values between known data points. This method is particularly useful in computer graphics, where smooth curves need to be generated from discrete points. The ability to create such curves relies heavily on understanding polynomial functions and their properties.The concept of polynomial division also plays a critical role in simplifying complex expressions. Just as we perform long division with numbers, we can divide polynomials to find their quotient and remainder. This process is vital in algebraic simplification and solving higher-degree equations.In conclusion, the term polynomial encapsulates a fundamental aspect of mathematics that extends far beyond its definition. From aiding in the comprehension of algebraic concepts to providing tools for practical applications in various fields, polynomials are indispensable. As students and professionals continue to explore the vast landscape of mathematics, a solid understanding of polynomials will undoubtedly serve as a cornerstone for further learning and discovery.Ultimately, embracing the knowledge of polynomials equips individuals with the skills necessary to tackle complex problems and innovate solutions in an ever-evolving world.

在数学领域，无法忽视术语多项式的重要性。多项式是由变量和系数组成的数学表达式，通过加法、减法、乘法和非负整数指数结合在一起。理解多项式不仅在纯数学中至关重要，而且在物理学、工程学和经济学等不同领域的各种应用中也同样重要。为了说明多项式的重要性，让我们考虑它们在代数中的作用。一个简单的多项式例子是2x^2 + 3x + 5，其中'x'是变量，2、3和5是系数。这个多项式中变量的最高次方是2，这表明它是一个二次多项式。二次多项式在图形上通常表示抛物线形状，这使得它们在理解物理学中的抛射运动时至关重要。此外，多项式可以根据其次数进行分类。例如，零次多项式是常数，而一次多项式表示线性函数。研究这些不同类型的多项式有助于学生掌握微积分的基础概念，如极限、导数和积分。除了理论上的重要性，多项式还有实际应用。例如，工程师经常使用多项式方程来建模现实世界的情况，例如车辆的轨迹或材料中的应力-应变关系。通过利用多项式函数，他们可以有效地预测结果并优化设计。此外，多项式插值是一种在数值分析中用于估计已知数据点之间值的技术。这种方法在计算机图形学中尤其有用，因为需要从离散点生成平滑曲线。创建这种曲线的能力在很大程度上依赖于对多项式函数及其性质的理解。多项式除法的概念在简化复杂表达式中也起着关键作用。就像我们对数字执行长除法一样，我们可以对多项式进行除法以找到它们的商和余数。这个过程在代数简化和求解高次方程中至关重要。总之，术语多项式概括了数学的一个基本方面，这一方面远远超出了它的定义。从帮助理解代数概念到为各个领域的实际应用提供工具，多项式都是不可或缺的。随着学生和专业人士继续探索广阔的数学领域，对多项式的扎实理解无疑将成为进一步学习和发现的基石。最终，拥抱多项式知识使个人具备解决复杂问题和在不断发展的世界中创新解决方案所需的技能。