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- Mathematics Stack Exchange
Q A for people studying math at any level and professionals in related fields
- Good book for self study of a First Course in Real Analysis
Does anyone have a recommendation for a book to use for the self study of real analysis? Several years ago when I completed about half a semester of Real Analysis I, the instructor used "Introducti
- Difference between ≈, ≃, and ≅ - Mathematics Stack Exchange
In mathematical notation, what are the usage differences between the various approximately-equal signs "≈", "≃", and "≅"? The Unicode standard lists all of them inside the Mathematical Operators B
- Levi Civita and Kronecker Delta identity [duplicate]
One of the popular Kronecker delta and Levi-Civita identities reads $$\epsilon_ {ijk}\epsilon_ {ilm}=\delta_ {jl}\delta_ {km}-\delta_ {kl}\delta_ {jm} $$ Now, is
- linear algebra - Does $\det (A + B) = \det (A) + \det (B)$ hold . . .
Can there be said anything about det(A + B) det (A + B)? If A B A B are symmetric (or maybe even of the form λI λ I) - can then things be said?
- Using the distributivity law for propositional logic
What you wrote is correct I just don't understand why you're not sure about what you wrote Notice that, por instance, p ∨ q p ∨ q is a statement itself, so you can apply the rule just as you did
- Use of and and or in Union and intersection of sets.
De Morgan laws : the negation of "P and Q" is "not-P or not-Q" Thus, when you check for the complement of a set, you have to negate the condition defining it
- Pole-zero cancelation method for PI controller design
I have found a literature where the authors use a method based on the idea when the zero of the PI controller cancels the pole of the system My question is whether this method is really worthy of following My doubts arise from the fact that in real situation the pole location is loaded with some uncertainty In other words I am not able to place the controller zero exactly at the system pole
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