Recent content by QuickLoris
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Graduate Why Doesn't the Tensor Identity Work Out?
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...- QuickLoris
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- Identity Tensor Transpose
- Replies: 1
- Forum: Linear and Abstract Algebra
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Geometric Dimensioning and Tolerancing
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.- QuickLoris
- Post #3
- Forum: Science and Math Textbooks
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Geometric Dimensioning and Tolerancing
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.- QuickLoris
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- Geometric
- Replies: 2
- Forum: Science and Math Textbooks
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Undergrad Can Binomial Distribution Be Used for Small Populations?
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...- QuickLoris
- Post #4
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad Can Binomial Distribution Be Used for Small Populations?
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...- QuickLoris
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- Binomial Probability
- Replies: 4
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad Why do we use the natural log in the derivative of an exponential function?
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).- QuickLoris
- Post #7
- Forum: Calculus
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Undergrad Why do we use the natural log in the derivative of an exponential function?
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?- QuickLoris
- Post #3
- Forum: Calculus
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Undergrad Why do we use the natural log in the derivative of an exponential function?
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} =...- QuickLoris
- Thread
- Derivative Exponential Exponential function Function Log Natural Natural log
- Replies: 6
- Forum: Calculus
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Undergrad Decomposition of a Rotation Matrix
Thanks BackEMF, I added it to my shopping list.- QuickLoris
- Post #8
- Forum: Linear and Abstract Algebra
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Undergrad Decomposition of a Rotation Matrix
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.- QuickLoris
- Post #6
- Forum: Linear and Abstract Algebra
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Undergrad Decomposition of a Rotation Matrix
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...- QuickLoris
- Post #3
- Forum: Linear and Abstract Algebra
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Undergrad Decomposition of a Rotation Matrix
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...- QuickLoris
- Thread
- Decomposition Matrix Rotation Rotation matrix
- Replies: 7
- Forum: Linear and Abstract Algebra