My textbook (regarding continuum mechanics) has the following identity that is supposed to be true for all tensors:
a\cdotTb = b\cdotTTa
But I don't get the same result for both sides when I work it out.
For each side, I'm doing the dot product last. For example, I compute Tb first and...
I understand that, but I'm not looking for a reference book. I really just wanted to see what people's experiences were with the options currently available.
Can someone recommend a great textbook or resource for geometric dimensioning and tolerancing that would be appropriate for self-learners? An introductory text would be good, but better would be a textbook that covers it in depth.
Thank you for your replies. I think I understand now. The binomial distribution is a predictive measure of the probability of getting a certain amount of successes given a specific number of trials and a defined probability of success for each independent trial. So, it's not meant to be used to...
Hello all!
I'm trying to understand whether I can use the binomial distribution in a certain way...
According to the equation, to find the probability P of a certain number of successes out of a number you trials, you need the number of trials, n; the number of successes out of the trials...
I understand that you can use the change of base formula to to change the base to whatever you like once you have the derivative, I just wanted to know why ln was chosen to begin with. mathman somewhat answered my question.
I should have used different notation. I mean f '(0), not f(0).
So, in other words, since e is defined so that lim e^{h}=1 as h\rightarrow0, the derivative is itself. Otherwise, the derivative would be recursive? as in,
f(x) = a^{x}
\frac{d}{dx}f(x) = a^{x}\frac{d}{dx}f(0)
Is that right?
I recently struck a question that I have not been able to find an answer to. I feel like I'm missing something obvious, so I've come here for help.
The derivative of a^{x} is a^{x}lna.
The explanation that Stewart 5e gives is:
\frac{d}{dx}a^{x} = \frac{d}{dx}e^{(lna)x}
=...
Thanks to the both of you!
DH,your explanation was exactly what I was looking for!
Can you recommend a textbook (I'm guessing I need a general Linear Algebra book) so I can delve into the theory behind this kind of stuff? I really like knowing the details when it comes to things like this.
Thanks! That was very helpful.
I'm still wondering though, about how the angles are derived straight from the matrix. In the book it has the example of a global roll-pitch-yaw rotation matrix
GQB = QZ,γQY,βQX,α
=
[cβcγ -cαsγ+cγsαsβ sαsγ+cαcγsβ ]
[cβsγ cαcγ+sαsβsγ...
Hey guys! I'm new here, so forgive me if I'm posting in the wrong section.
I recently picked up a book on robotics and it had a section about rotation matrices. I'm having a difficult time with the decomposition of rotation matrices. Everywhere I look, I can find the the equations for the roll...