在之前的章节中介绍的λ-calculus是无类型的, 即若把一个λ-term理解为映射, 则该映射的定义域(Domain)与值域(range)为全集(universe). 在很多时候域将会揭示很多有意义的信息, 为λ-calculus明确指定定义域与值域(类型)是很有意义的, 类型可以理解为对域进行符号化并提供了一系列的操作工具. 这节开始介绍λ-...
3. Domain and range: domain is interval for x and range is interval for f(x) 4. Categories of functions, including linear, polynomial, rational, power, 5. Even and odd functions: even is symmetric to y axis, odd is symmetric to origin 6. Inverse functions: to calculate inverse function...
1.1 Four Ways to Represent a Function 函数定义等 Paste_Image.png 函数定义: 集合A到 集合B 的一种法则。 domain: 定义域 value of F a x : 在x点的值 range: 值域 independent variable:函数的定义域中的数值,叫自变量(独立变量) dependent variable:函数的值域中的数值, 叫 因变量(依赖变量) (自己理...
We analysed multivariable calculus students' meanings for domain and range and their generalisation of that meaning as they reasoned about the domain and range of multivariable functions. We found that students' thinking about domain and range fell into three broad categories: input/output, ...
紧接着会介绍两种函数类型:Composite functions and inverse functions (复合函数和反函数),需要注意的是,复合函数不是两个函数的乘积关系,且反函数与原函数的Domain and range(定义域和值域)是互换的关系。 学习了Composite functions and inverse functions(复合函数和反函数)之后,从而进一步理解Logarithm 是Exponential...
domain: 定义域 value of F a x : 在x点的值 range: 值域 independent variable:函数的定义域中的数值,叫自变量(独立变量) dependent variable:函数的值域中的数值, 叫 因变量(依赖变量) (自己理解: 其实感觉,看英文的好处,就是编程和数学,都是用的同一套理解就行了,而翻译成中文以后,很多地方不形象,并且...
We analysed multivariable calculus students' meanings for domain and range and their generalisation of that meaning as they reasoned about the domain and range of multivariable functions. We found that students' thinking about domain and range fell into three broad categories: input/output, independence...
The domains and ranges of the inverse hyperbolic functions are summarized in the following table. Domains and Ranges of the Inverse Hyperbolic Functions FunctionDomainRange sinh−1xsinh−1x (−∞,∞)(−∞,∞) (−∞,∞)(−∞,∞) cosh−1xcosh−1x (1,∞)(1,∞) [0,∞)[0...
You will learn: describe the domain and range of a function, Illustrate a function f(x,y) with a surface graph or with level curves. S13. Limit, continuity You will learn: calculate limit values, determine if a function has limit value or is continuous at one point, use common sum-,...
对应的domain定义域,range值域 Paste_Image.png 是周期为 2π 的周期函数 Paste_Image.png tangent function 正切函数 Paste_Image.png 对应的图像: Paste_Image.png 根据图像,我们知道 正切函数是 周期为 π 的周期函数 Paste_Image.png Exponential Functions 指数函数 ...