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What does $QAQ^{-1}$ actually mean? - Mathematics Stack Exchange 1 $\begingroup$ When one thinks of matrix products like that, it's helpful to remember that matrices, unlike vectors, have two sets of bases: one for the domain and one for the range Thinking of applying a vector on to the right, we get that the transformation "unrotates" the vector, applies the original transformation in the original basis
abstract algebra - Prove that 1+1=2 - Mathematics Stack Exchange The main reason that it takes so long to get to $1+1=2$ is that Principia Mathematica starts from almost nothing, and works its way up in very tiny, incremental steps The work of G Peano shows that it's not hard to produce a useful set of axioms that can prove 1+1=2 much more easily than Whitehead and Russell do
Formula for $1^2+2^2+3^2+. . . +n^2$ - Mathematics Stack Exchange Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
what is 1 - 1 2 + 1 3 - 1 4 + 1 5 - 1 6 + 1 7 - 1 8 +1 9 Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
Mathematics Stack Exchange Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
How can 1+1=3 be possible? - Mathematics Stack Exchange Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
What is the integral of 1 x? - Mathematics Stack Exchange $\begingroup$ Well, calling Ln(-1) = i*Pi is already expanding the standard definition of Ln In the context described (where A -A are both real, and the log used is standard), Ln(-1) is undefined But I'd say the intelligent thing is to break it into two undefined improper integrals with one of the limits at 0 (where it is unbounded)