Recent content by RobertT

I think you should repost this or ask the moderator to move it to the "Electrical Engineering" section...

The zero is just an "end point" of the locus of the left most pole. In other words, if the gain is large enough, the left most pole coincides at the zero which is still good because it sits on the negative real axis. However, system response is slower due to the pole approaching right-half plane.

If you insists on using a PI controller to see if it's stable you'll have to get the locus plot of the system (plant + controller) and see where the poles are located in the s-plane. If you are puzzled as to why the poles' locations determine stability then you'll have to study ODE (as a good...

There are various techniques to design a controller. If you want guaranteed performance try searching for Ragazzini's method and of course I'm assuming you are trying to design a discrete controller.

Well one aspect of knowing maths is that there is this concept of generality that throughout history, we can see the trend that it keeps on growing more and more "general" or abstract. It's not really the raw knowledge of maths that I was trying to point out but there are many features of what...

Fair enough, but I think of knowing maths as more of a relative measure of what one knows in comparison to the current progress in mathematics. That's why I just had to disagree with you.

Perhaps back then what you understood was satisfying enough to answer your curiosity about what maths is about. However, to believe you have the general idea of what maths is about just from your high school experience is too assuming.

A method purely developed for the purpose of training deductive skills for maths: http://en.wikipedia.org/wiki/Moore_method

Your understanding about what Math is about would have strengthen many times more if you had learned abstract algebra.

From the perspective of a student, being thrown in a bunch of new terms and ideas is like trying to absorb gibberish (no offense). I would suggest to start with something really simple yet interesting in that it has some intriguing logical implications. Perhaps, it would be best to start...

If you mean infinitely many 9's, then it's not possible because 0.9999999... (infinite 9's) = 1. :smile:

It's one of the terms that popped out in an equation when I was calculating some fluid film force applied to a bearing system. Thanks again for the answer

Wow... what magic calculator did you use? @@.. Anyway thanks a tonne for the answer but you get the wrong one... notice the correct denominator is of power 3 and not 2

One perhaps rather interesting note is that \int \frac{\sin x\cos x}{(1+\epsilon\cos x)^3}\,dx is easy to calculate

\int \frac{\cos^2 x}{(1+\epsilon\cos x)^3}\,dx Where, \epsilon > 0 is a real number constant.