Recent content by rfrederic

I am recently trying to identify system parameters with projection algorithm, but faced a problem, and the dynamic model is the following: \ddot{y}(t)+a\cdot\dot{y}(t)=b\cdot e(t) The true value of a is 2.8, b is 0.1. While inputing volt e(t)=12sin(2\pi t)+5sin(2t), I can get a good...

Well, do you mean that: Schwarz inequality = Cauchy–Schwarz inequality = \left\|[x,y]\right\|\leq\left\|x\right\|\left\|y\right\|? I think so either, thus I want to figure it out. Both of your answers are helpful, thanks. :smile:

Sorry about used wrong symbol, and I have modified. I know triangle inequality. But the question still is "are Schwarz inequality and Cauchy–Schwarz inequality same?" Thanks for your reply. :smile:

I found many information showed Schwarz inequality and Cauchy–Schwarz inequality are same on books and internet, but my teacher's material shows that: Schwarz inequality: \left\|[x,y]\right\|\leq\left\|x\right\|+\left\|y\right\| Cauchy–Schwarz inequality...

Big Thanks to micromass and MarneMath, both of you bestead me a lot.

We have known that: lim f(x)g(x) = lim f(x) * lim g(x) Could any conditions or limitations make: lim f(x)g(x) ≠ lim f(x) * lim g(x)?