# signed

2. ### Just signed up to MHF

Hi everybody in MHF! I hope I posted this in the right place! I study mathematics independently of school and my current study is Linear Algebra. Got a good book from Amazon (used at a very good price). So now to dive in. I really enjoy matrices, so I think this should be a fun study. Also...
3. ### A question about regular signed or complex Borel measure

Suppose \nu is a regular signed or complex Borel measure on \mathbb R^n. By Lebesgue-Radon-Nikodym theorem, d\nu=d\lambda+fdm where m is the Lebesgue measure on \mathbb R^n and \lambda\bot m. How to prove d|\nu|=d|\lambda|+|f|dm? I can only prove d|\nu|\leq d|\lambda|+|f|dm, but can not...
4. ### A question on a signed measure inequality

The problem is Excercise 5. in page 88 of Folland's "real analysis: modern techniques and their applications", 2nd edition, as the image below shows. As the hint indicates, we should use Excercise 4. From Excercise 4, if signed measure \nu=\lambda-\mu, then |\nu|=\nu^++\nu^-\leq\lambda+\mu...
5. ### Given a base, find the exponent

Hello people. I wanted to know if it is possible to solve this problem. I have a range : -2^{w-1} to 2^{w-1}-1 so if w = 4, I would have a range -8 to 7 [-8,-7,...,0,1...,7] This represents the range for a signed integer in 2's complement form (most computers use this format). w indicates the...
6. ### A question about the signed distance function

As we know,for a signed distance function,its gradient's norm must be equal to 1.Who can tell me the reason?U r appreciated for any advice!
7. ### signed measure

For nonnegative f,g \in L^1(X,F,\mu) and sub\sigmaalgebra \Lambda which is not a subset of F, define v(A)=\int_A (f-g) d\mu for all A \in \Lambda. Show that v is a signed measure. i got confused here. since \Lambda is not a subset of F, how do i find the integral? can i integrate it only...
8. ### Null signed measure

If v is a signed measure, E is v-null iff \mid v \mid (E) = 0 . My proof. If E is v-null, then v(E)=0, and 0=v(E)=v^+(E)-v^-(E) by the Jordan Decomposition theorem. Therefore \mid v \mid (E)= v^+(E)+v^-(E) is 0? It just seem like something is missing. Would anyone please tell me...
9. ### Question Wilcoxin Signed Rank Test

I have the following data sets Data 1: 1.2, 1.3, 1.3, 1.5, 1.6, 1.7, 1.8 Data 2: 1.8, 1.8, 1.9, 2.1, 2.2, 2.5 My question is according to my assignment "Do a Wilcoxin signed-rank test on the data. What do you conclude?" I'm having problems because looking at my tables I see several different...
10. ### paired wilcoxon signed rank test

I'm figuring out a paried wilcoxon signed rank test and I'm at the step where I am trying to find critical values. How do you find the critical values? I ask this because sometimes there are 1 or 2 different pairs of them. Such as W underscore 1 or under score r. How do you find these? Thank you
11. ### Signed 6

In solving -7x + x = 24 -x x = - 4 Where do we get the 6? -7x + x = 24 - x + x somehow this line produces a six for -6x = 24
12. ### signed numberz base X

Please solve and explain how they were done. 4x - 8 = - 32 + 2x - 3(1x + 3) = - 33 3x + y = 5 - 3x - 2y = -1
13. ### Solve,Simplify Signed

Please help. I cant figure out the first step, where to begin on these problems. 4 * ( -9 ) - -25 = r - 60 = -38 10 - ( -78 ) 42 = 7t - 42
14. ### Assorted Signed numers probs

Please solve and explain how these are solved.
15. ### Various Signed Numbers

I forgot how to do this. Please solve and explain.