In Exercises 41–70, use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic exp...
Seems like I would need to expand the logarithm of an integral but I have no idea on how to handle it. I know that F= −Tln∫e − E(p,q) T dΓ holds and I feel like I have to use it....
I'm doing a logarithm excercise online, however I got a different answer to the ones provided (multiple-choice). Do I have to do extra conversions to my answer to reach one of the options?...
In the book of From Classical to Quantum Shannon Theory, in exercise 11.8.1, there is a property of logarithm of a tensor products of two matrices, defined as follows: log(A⊗B)=log(A)⊗I...
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N T ] 5 N o v 2 0 0 7 The integral logarithm in Iwasawa... integral logarithm L has reduced the ‘main conjecture’ to... Apparently the integral logarithm L when applied to K 1 (Z l [[T]...
A train consists of an engine and n trucks. It is travelling along a straight horizontal section of track. The mass of the engine and of each truck is M. The resistance to motion of the...
I'm currently preparing for an exam in complex analysis and I don't quite feel comfortable with some exercises, mostly those including a complex logarithm and some "unusual" paths to integrate alon...
I was doing an exercise in which I had to plot by hand a function. The function was f(x)=ln( 3 √x 3x−1) which I rewrote into f(x)= ln(x) 3 −ln(3x−1) As the argument of log needs to...
We determine the unit group of \Lambda_\wedge[H] (the completion of the localization at l of \Bbb{Z}_l[[T]][H]) as well as the kernel and cokernel of the integral logarithm L:\Lambda_\wedge...