Hi,
I was reading a models book and read about a study where 9 analysts were chosen at random. Out of this group, 3 were selected for 2 week training, 3 were selected for 3 week training, and 3 were selected for 5 week training. Now I believe this models course had the idea that the first...
To All,
I did a study and my response is defined as y = b1x1 + b2x2 + e where e ~N(0,1).
I have y~N(4,33). In my data results, I did an ordinary least squares regression model
for y = b1x1+b2x2+ e. The ANOVA is telling me the mean of y is 4, but MSE is 1.
So here is my question. If I...
Please help me prove this. I worked hard to make my notation somewhat easy to follow:
If gcd ( ord_n(a) , ord_n(b) ) = 1 , then ord_n(a*b) = ord_n(a) * ord_n(b)
Attempted proof:
I can't see how to use the gcd condition. Which is bad news. I do realize the following.
Let k1 =...
H = [a,b]\times[c,d] . f:H\rightarrowR is continuous, and
g:[a,b]\rightarrowR is integrable.
Prove that
F(y) = \intg(x)f(x,y)dx from a to b is uniformly continuous.
I initially ripped g(x) and f(x,y) apart and tried to show each was continuous. This failed.
In short, I am...
[SOLVED] Help me evaluate this limit
Part a:
Show that f(x,y) = \frac{x^{4}+y^{4}}{x^{2}+y^{2}}
as (x,y) -> (0,0)
Part b:
Similarily, show that f(x,y) = \frac{\sqrt{\left|xy\right|}}{\sqrt[3]{x^{2}+y^{2}}} as (x,y)->(0,0)
Lets work with Part a, shall we?
I seemed to be...
Inquiry:
Is there a standard equation for a 4 by 4 inverse? I know that one exists for 3 by 3, 2 by 2, but I cannot find one in my text nor in my searches online. I know I could find one by using the Jordan-Gaussian Method. But, I would be more comfortable with knowing a 4 by 4 general...
[SOLVED] Can you help me evaluate this limit?
lim k -\sqrt{k^{2}+k} as k\rightarrow\infty
I have evaluated the limit using computer technology and I know it should be
-1/2. I have tried using something like the squeeze theorem but failed.
My other attempt is to mutiply the limit by...
B = [cos\theta -sin\theta]
......[sin\theta cos\theta]
for some \theta in R^{2}.
(a) Prove that || B(x,y) || = || (x,y) || for all (x,y)\inR^{2}
Question: What does B(x,y) and (x,y) notation mean?
I have a result that says
Let B=[b_{ij}] be an mxn matrix whose entries...
Question: Find two lines in R^{3} that are not parallel but do not intersect.
My Thoughts:
I have never seen this type of question before and the material in my text is unfortunately lacking. However, I was able to piece these thoughts together.
The cross product of three vectors...
Let a,b\inR^{m}, b\neq0 and set \phi(t)=a+tb.
We must show that the angle between \phi(t_{1})-\phi(t_{0}) and \phi(t_{2})-\phi(t_{0})
is 0 or \pi for any t_{0},t_{1},t_{2},\inR with t_{1},t_{2}\neq.
The 0,1, and 2 are supposed to be subscripts next to t, but my Latex is showing is as...
Prove the function is analytic on R and find its Maclaurin expansion.
(a) e^{x}cosx
Well, I did some work. I can show that
e^{x}=\sumx^{k}/k!
cosx=\sum((-1)^{k}x^{2k})/(2k)!
are analytic and have the above Maclaurin expression.
My problem is multiplying these two...
Problem:
Suppose that {a_{k}}^{\infty}_{k=0} is a bounded sequence
of real numbers. Show that \suma_{k}x^{k} has a
positive radius of convergence.
Work:
I have attempted to use the ratio test and failed. I am suspicious I can try the root
test, but I am not sure how to work it...