Do you want BuboFlash to help you learning these things? Or do you want to add or correct something? Click here to log in or create user.


  • Presentation
  • Question
  • Answer

Question
函数的内积是一种函数之间的二元运算。在复数域\(\mathbb{C}\)中，给定两个复数函数\(f(x), g(x)\)，则函数的内积定义为\(\left\langle f(x), g(x)\right\rangle_{w(x),x\in(a,b)}\)：[...]
Answer

\(\displaystyle\left\langle f(x), g(x)\right\rangle_{w(x),x\in(a,b)}:=\int^{x=b}_{x=a}f^{*}(x)g(x)w(x)dx\)

其中，\(w(x)\)是权重函数(weight function)，\((a,b)\)是函数内积的定义域，\(f^{*}(x)\)是函数\(f(x)\)的复数共轭
- 权重函数一般是1


Question
函数的内积是一种函数之间的二元运算。在复数域\(\mathbb{C}\)中，给定两个复数函数\(f(x), g(x)\)，则函数的内积定义为\(\left\langle f(x), g(x)\right\rangle_{w(x),x\in(a,b)}\)：[...]
Answer
?

Question
函数的内积是一种函数之间的二元运算。在复数域\(\mathbb{C}\)中，给定两个复数函数\(f(x), g(x)\)，则函数的内积定义为\(\left\langle f(x), g(x)\right\rangle_{w(x),x\in(a,b)}\)：[...]
Answer

\(\displaystyle\left\langle f(x), g(x)\right\rangle_{w(x),x\in(a,b)}:=\int^{x=b}_{x=a}f^{*}(x)g(x)w(x)dx\)

其中，\(w(x)\)是权重函数(weight function)，\((a,b)\)是函数内积的定义域，\(f^{*}(x)\)是函数\(f(x)\)的复数共轭
- 权重函数一般是1

If you want to change selection, open document below and click on "Move attachment"

Definition of Inner product for a function
函数的内积是一种函数之间的二元运算。在复数域\(\mathbb{C}\)中，给定两个复数函数\(f(x), g(x)\)，则函数的内积定义为： \(\displaystyle\left\langle f(x), g(x)\right\rangle_{w(x),x\in(a,b)}:=\int^{x=b}_{x=a}f^{*}(x)g(x)w(x)dx\) 其中，\(w(x)\)是权重函数(weight function)，\((a,b)\)是函数内积的定义域，\(f^{*}(x)\)是函数\(f(x)\)的复数共轭 - 权重函数一般是1

Summary

statusnot learnedmeasured difficulty37% [default]last interval [days]               
repetition number in this series0memorised on               scheduled repetition               
scheduled repetition interval               last repetition or drill

Details

No repetitions

Discussion

Do you want to join discussion? Click here to log in or create user.