Why $f(x) = \sqrt{x}$ is a function (as I found in my textbook) since for example the square root of $25$ has two different outputs ($-5,5$) and a functio...

I'm having trouble to understand exactly how we are using Fubini's theorem in the following proof involving the distribution function, since it ...

∼(p ∨∼q) ∨ (∼p ^ ~ q) ≡ ~p Please help I don't know where to start. These are the laws I need to list in each step when simplifying. Commutative laws...

This definition is extracted from "Introduction to Algorithm, 2nd Edition". The iterated logarithm function We use the notation $\lg^* n$ (read ...

I have the next question: Find the angle between two surfaces: $x^2+y^2+z^2=9$ and $z=x^2+y^2-3$ at the point $(2,-1,2)$. I have the next formula: $$\cos\...

I am having what I think is a notational issue with the following problem: For each of the following linear operators $T$ on a vector space $V$ and ordere...

Let us say the vector $u = (1 - i, 2 + 3i, 5)$. How would I find $\|u\|$? I have tried solving this through: $\sqrt{(1-i)^2 + (2+3i)^2 + 5^2}$ But I ended...

I'm looking primarily for references for Harmonic Analysis. I'm mostly considering Doran&Fell or Deitmar, but I have access to lectures usin...

I want to find out what $\frac{d}{dx}\log_x A$ is? I did this so far but I'm not sure. $y = \log_x A \Longrightarrow x^y = A$ so, $d/dx(x^y) = d/dx(A...

Can anyone please tell me - What is the least significant digit in $2^{3A}$? How do we define least significant digit?