偶函数的英文及例句(优质3篇)

偶函数的英文及例句 篇一

Title: The English Name of Even Functions and Examples

Even functions are an important concept in mathematics. In this article, we will explore the English name of even functions and provide examples to help understand their characteristics.

The English name for "偶函数" is "even function." An even function is a mathematical function that satisfies the property f(x) = f(-x) for all x in its domain. This means that if we reflect the graph of an even function across the y-axis, it remains unchanged.

Here are a few examples of even functions:

1. The function f(x) = x^2 is an even function. When we substitute -x for x, we get f(-x) = (-x)^2 = x^2. The graph of this function is a symmetric parabola with its vertex on the y-axis.

2. Another example is the cosine function, cos(x). It is an even function because cos(-x) = cos(x) for all x. The graph of the cosine function is symmetric with respect to the y-axis, oscillating between -1 and 1.

3. The absolute value function, |x|, is also an even function. When we substitute -x for x, we get |-x| = |x|. The graph of the absolute value function is a V-shaped graph with its vertex at the origin.

Even functions have several interesting properties. One property is that the product of two even functions is also an even function. For example, if f(x) and g(x) are both even functions, then the product h(x) = f(x) * g(x) is also an even function.

Another property is that the sum or difference of two even functions is also an even function. If f(x) and g(x) are even functions, then the sum h(x) = f(x) + g(x) and the difference h(x) = f(x) - g(x) are both even functions.

In conclusion, even functions, or "偶函数," are mathematical functions that satisfy the property f(x) = f(-x) for all x in their domain. The English name for "偶函数" is "even function." Examples of even functions include quadratic functions, trigonometric functions like cosine, and absolute value functions. Even functions have interesting properties such as being closed under multiplication and addition or subtraction. Understanding even functions is essential in various mathematical applications.

偶函数的英文及例句 篇二

Title: The English Translation and Examples of Even Functions

Even functions, known as "偶函数" in Chinese, play a significant role in mathematics. In this article, we will discuss the English translation of even functions and provide examples to illustrate their characteristics.

The English translation of "偶函数" is "even function." An even function is a mathematical function that satisfies the property f(x) = f(-x) for all x in its domain. This property implies that the graph of an even function is symmetric with respect to the y-axis.

Let's consider a few examples of even functions:

1. The function f(x) = x^2 is an even function. When we substitute -x for x, we get f(-x) = (-x)^2 = x^2. The graph of this function is a symmetric parabola with its vertex on the y-axis.

2. Another example is the cosine function, cos(x). It is an even function because cos(-x) = cos(x) for all x. The graph of the cosine function is symmetric, oscillating between -1 and 1.

3. The absolute value function, |x|, is also an even function. When we substitute -x for x, we get |-x| = |x|. The graph of the absolute value function is V-shaped and symmetric with respect to the y-axis.

Even functions possess several interesting properties. One of them is that the product of two even functions is also an even function. For instance, if f(x) and g(x) are both even functions, then the product h(x) = f(x) * g(x) is also an even function.

Furthermore, the sum or difference of two even functions is also an even function. If f(x) and g(x) are even functions, then the sum h(x) = f(x) + g(x) and the difference h(x) = f(x) - g(x) are both even functions.

To summarize, even functions, or "偶函数," are mathematical functions that satisfy the property f(x) = f(-x) for all x in their domain. The English translation for "偶函数" is "even function." Examples of even functions include quadratic functions, trigonometric functions like cosine, and absolute value functions. Even functions exhibit interesting properties such as closure under multiplication and addition or subtraction. Understanding even functions is crucial in various mathematical applications.

偶函数的英文及例句 篇三

偶函数的英文及例句

　　偶函数的英文：

　　even function

　　function是什么意思：

　　n. 官能，机能；功能；职责，职务；函数

　　v. 工作；活动；运转，运作；起作用

　　参考例句

　　function requester

　　功能请求者

　　norm functional

　　范数泛函

　　The pergence of a vector function is the scalar func

　　矢量函数的散度是一个标量函数。

　　A functional is a kind of function where the dependent variable is itself a function.

　　泛函就是自变量本身为函数的.一数函数。

　　The frequency response function includes an aerodynamic transfer function

　　频率的主函数包括主动力传递函数。