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Suppose I is an interval on a Cantor tree with m children I′, each of length $ϵ$ . I have that $\sum_{\hat{I} is a child of I} | \hat{I} |^{s} = | I |^{s} \Rightarrow s = \frac{\log (m)}{- \log ε}$ . Is s the "local dimension" of the tree?
Is there a relationship between the the Hausdorff dimension of a Cantor tree and its local dimension?

varice2r 2022-09-05

A 10-foot-long chain weighs 25 lbs. And hangs from a ceiling. Calculate the work done in raising the lower end of the chain to the ceiling so that it is at the same level as the upper end.

Leroy Gray 2022-09-05

Question: $(x_{n} \to x ⟹ \underset{n \to \infty}{lim sup} f (x_{n}) \leq f (x)) ⟹ {x \in X | f (x) < c} is open for any c \in R ?$

Felix Cohen 2022-09-05

Determine a preferably small upper limit for n with a confidence level of $\frac{9}{10}$ .

jatericrimson8b 2022-09-05

I am trying to calculate upper and lower confidence levels for a parameter, but i can't get it straight (in this case $σ^{2}$ ):
the reference variable: $R_{σ^{2}} := \frac{n - 1 s^{2}}{σ^{2}} \sim χ^{2} (n - 1)$
where $s^{2} = \frac{1}{n - 1} \sum_{i = 1}^{n} (x_{i} - \bar{x})^{2}$

treallt5 2022-09-05

Let $h_{1}$ and $h_{2}$ be two differentiable convex functions on $R^{n}$ and $\bar{x} \in R^{n}$ such that $h_{1} (\bar{x}) = h_{2} (\bar{x}) = 0$ and $\nabla h_{1} (\bar{x}) = λ \nabla h_{2} (\bar{x})$ for some $λ > 0$ . Prove that there exists a neighborhood U of $\bar{x}$ such that one of the following two sets contains the other one: ${x \in U : h_{1} (x) \geq 0}$ and ${x \in U : h_{2} (x) \geq 0}$ .

sincsenekdq 2022-09-05

I have a function $f (x) = g (x) h (x)$ . I have either of the following two conditions to hold
g(x) has positive value and it is increasing and h(x) has negative values but is decreasing.
g(x) has positive value and it is increasing and h(x) has negative values but is increasing.
Can I say that f(x) is a quasiconcave function?

Baqling 2022-09-05

Consider all possible forms of a digraph with $2, 3, 4, \dots n$ vertices.
Now let f(A) be the number of edges in A.
Also, let $A^{2}$ be the transitive of $A, A^{3}$ the transitive of A twice, $A^{4}$ the transitive of A three times, and so on.
Prove that $f (A), f (A^{2}), f (A^{3}) \dots f (A^{n})$ converges to a single number, ie doesn't oscillate.

Baqling 2022-09-04

Consider the recurrence $T (n) = {\begin{cases} c & if n is 1 \\ T (⌊ (n / 2) ⌋) + T (⌊ (n / 4) ⌋) + 4 n, & if n is > 1 \end{cases}$
A. Express the cost of all levels of the recursion tree as a sum over the cost of each level of the recursion tree
B. Give a function g(n) and show that it is an upper bound on the sum

skystasvs 2022-09-04

Let $X = R^{2}$ . Given $u (\cdot, \cdot)$ such that one of the level curves $y = f (x)$ is discontinuous at $x = t$ , construct (or show the existence of) two points $p, l \in X$ such that l is a limit point of both $L (p)$ and $U (p)$ but is contained in exactly one of the two

profesorluissp 2022-09-04

Calculus: $f (n) = n$ for two distinct values of n implies that for some x, $f^{'} (x) = 1$

rustenig 2022-09-04

Show that if $ξ$ is a random variable in $L^{2} (F)$ and G is a $σ$ -field contained in F, then $E (ξ | G)$ is the orthogonal projection of $ξ$ onto the subspace $L^{2} (G)$ in $L^{2} (F)$ consisting of G-measurable random variables.

Gauge Odom 2022-09-04

Why is this the inverse of an nxn identity matrix plus an nxn upper triangular matrix?
$(I + N)$ is $(I - N + N^{2} - \dots)$

frobirrimupyx 2022-09-04

Quasi-concavity of a function of two variables such as $z = (x^{a} + y^{b})^{2}$ with a and b both greater than one... is it enough to show that it is not quasiconcave by showing that the second derivatives are not negative?

jatericrimson8b 2022-09-04

Step 1
I need to find the upper asymptotic bound for the recursion:
$T (k) = 2 T (k - 1) + \frac{1}{k}$
I was able to determine:
1) The height of this tree is $k - 1$
2) The cost of each level is $\frac{2^{i}}{k - i}$

tuzkutimonq4 2022-09-04

An industrial designer wants to determine the average time it takes for an adult to assemble a toy. 24 people were randomly chosen to assemble the toy and the time taken (in minutes) were as follows:
17, 13, 18, 19, 17, 21, 29, 22, 16, 28, 21, 15 26, 23, 24, 20, 8, 17, 17, 21, 32, 18, 25, 22
Using interval estimate to infer the population mean with a 95% confidence level

Kiana Arias 2022-09-04

The level surface of the function $f (x, y, z) = (x^{2} + y^{2})^{- 1 / 2}$ are
a) Circles centered at the origin b) spheres centered at the origin c) cylinders around the z-axis d) upper halves of spheres centered at the origin
I had chosen a) asmy answer, but it turns out the answer is c). Could someone help me understand why?

listgrein6u 2022-09-04

What is the value of x where $x = R_{1} - R_{4} + R_{3} - R_{2}$ in correspondence to the area of different circle regions?

Beckett Henry 2022-09-04

Сompute a trio of three binomial sums containing floor functions:
$\sum_{k = 0}^{⌊ \frac{n}{3} ⌋} (\binom{n}{3 k})$
$\sum_{k = 0}^{⌊ \frac{n}{3} ⌋} (\binom{n}{3 k + 1})$
$\sum_{k = 0}^{⌊ \frac{n}{3} ⌋} (\binom{n}{3 k + 2})$

Spactapsula2l 2022-09-04

How to show that Eratosthenes sieve algorithm has a complexity of $O (n \log n)$

In the majority of cases, students dealing with upper-level Math questions will have to solve not only numerical problems or equations but also verbal tasks. The answers that are provided below free of charge will help you to find solutions to your questions that are dealing with more advanced Maths problems. Remember that one must look into analysis and evaluation of original instructions, which is why upper-level Maths requires more thinking as you study questions and see how the answers have originated. The trick is to see similarities in solutions that are being provided as it always helps.

Upper Level Math

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