Please answer with complete proof. Will rate thanks.
Not sure what needs more explaining this is exactly how the book presented the question. Please comment for more clarification.
All the information provided in question. Only thing needed is
the formula for S(n,k).
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Please answer with complete proof. Will rate thanks. Not sure what needs more explaining this is ...
Please help me complete the following proof. Specifically, how does it follow that {s_q} and {t_q}...
Please help me complete the following
proof. Specifically, how does it follow that {s_q} and {t_q} have
the same nature given the two cases of convergence and divergence?
Thank you!
1. Let (un)nen be a sequence of real numbers and N E N. (a) Prove that ) Un and ) Un have same nature (convergent or divergent). We want to look O nzo n>N at the sequence of partial sums of both series. For q > N, take {sg} as...
please answer questions #7-13 7. Use a direct proof to show every odd integer is the...
please answer questions #7-13
7. Use a direct proof to show every odd integer is the difference of two squares. [Hint: Find the difference of squares ofk+1 and k where k is a positive integer. Prove or disprove that the products of two irrational numbers is irrational. Use proof by contraposition to show that ifx ty 22 where x and y are real numbers then x 21ory 21 8. 9. 10. Prove that if n is an integer and 3n...
please i need the question 9 for the detailed proof and explaination ! thanks ! 9. Let 1 fn(ar) 0 1 хи п1+ пx Show that...
please i need the question 9 for the detailed proof and
explaination ! thanks !
9. Let 1 fn(ar) 0 1 хи п1+ пx Show that fn0 in C([0,1], R)
9. Let 1 fn(ar) 0 1 хи п1+ пx Show that fn0 in C([0,1], R)
Please answer in the style of a formal proof and thoroughly reference any theorems, lemmas or...
Please answer in the style of a formal proof and thoroughly
reference any theorems, lemmas or corollaries utilized.
BUC
stands for bounded uniformly continuous
Let (X, d) be a metric space. Show that the set V of Lipschitz continu- ous bounded functions from X to R is a dense linear subspace of BUC(X, R). Since, in general, V #BUC(X, R), V is not a closed subset of BUC(X, R). Hint: For f EBUC(X, R) define the sequence (fr) by fn(x)...
please i need the question 15 for the detailed proof and explaination ! thanks ! 233 42 Isometries, Conformal Maps 14,...
please i need the question 15 for the detailed proof and
explaination ! thanks !
233 42 Isometries, Conformal Maps 14, we say that a differentiable map ф: S,--S2 preserves angles when for every p e Si and every pair vi, v2 E T (S,) we have cos(u, 2) cos(dp, (vi). do,()). Prove that pis locally conformal if and only if it preserves angles. 15. Letp: R2 R2 be given by ф(x, y)-(u (x, y), u(x, y), where u and...
Please help me solve 3,4,5 3- For all n € N, let an = 1. Let...
Please help me solve 3,4,5
3- For all n € N, let an = 1. Let S = {an in€ N}. 3-1) Use the fact that lim - = 0 and the result of Exercise 1 to show that 0 ES'. Ron 3-2) Use the result of Exercise 2 to show that S = {0}. 4- Prove that 4-1) N' = 0. 4-2) Q =R. 5- Recall that a set KCR is said to be compact if every open cover...
Lemma. If two vector spaces have the same dimension then they are isomorphic Proof. To show that ...
Lemma. If two vector spaces have the same dimension then they are isomorphic Proof. To show that any two spaces of dimension n are isomorphic, we can simply show that any one is isomorphic to R. Then we will have shown that they are isomorphic to each other, by the transitivity of isomorphism (which was established in the first Theorem of this section) Theorem 1 Isomorphism is an equivalence relation among ctor spaces Let v be n--dimensional. Fix a basis...
Please don't copy other expert's answer. I'm re-posting it because I think that is not right...
Please don't copy other
expert's answer. I'm re-posting it because I think that is not
right or not enough. Please someone who really knows the answer
answer to this problem.
2. (A simulated economy) Let Y,-F(K, Lt-AK L. The discrete time version of the capital accumulation equation is given by Lo-1 and labor grows at a rate of n-0.01. A-1. K0 0.01 and δ 0.07 c) Assume the economy is in a steady state and s0.3. Explain what happens to...
Please answer 9.5 from Networks by Mark Newman tion 9.3.3 for Internet data 9.5 The false positive rate B defined in Se...
Please answer 9.5 from Networks by Mark Newman
tion 9.3.3 for Internet data 9.5 The false positive rate B defined in Section 9.3.5 is the probability of erroneously observing an edge where none exists. Arguably a more useful measure, however, is the false discovery rate, which is the probability that an actual observed edge is itself a false positive, which is not the same thing. Suppose we measure a network once, producing an observed adjacency matrix O with elements Oij....
Can you help me with this question please? For the code, please do it on MATLAB. Thanks
Can you help me with this question please? For the code, please
do it on MATLAB. Thanks
7. Bonus [3+3+4pts] Before answering this question, read the Google page rank article on Pi- azza in the 'General Resources' section. The Google page rank algorithm has a lot to do with the eigenvector corresponding to the largest eigenvalue of a so-called stochastic matrix, which describes the links between websites.2 Stochastic matrices have non-negative entries and each column sums to1, and one can...
Please help me complete the following
proof. Specifically, how does it follow that {s_q} and {t_q} have
the same nature given the two cases of convergence and divergence?
Thank you!
1. Let (un)nen be a sequence of real numbers and N E N. (a) Prove that ) Un and ) Un have same nature (convergent or divergent). We want to look O nzo n>N at the sequence of partial sums of both series. For q > N, take {sg} as...
please answer questions #7-13
7. Use a direct proof to show every odd integer is the difference of two squares. [Hint: Find the difference of squares ofk+1 and k where k is a positive integer. Prove or disprove that the products of two irrational numbers is irrational. Use proof by contraposition to show that ifx ty 22 where x and y are real numbers then x 21ory 21 8. 9. 10. Prove that if n is an integer and 3n...
please i need the question 9 for the detailed proof and
explaination ! thanks !
9. Let 1 fn(ar) 0 1 хи п1+ пx Show that fn0 in C([0,1], R)
9. Let 1 fn(ar) 0 1 хи п1+ пx Show that fn0 in C([0,1], R)
Please answer in the style of a formal proof and thoroughly
reference any theorems, lemmas or corollaries utilized.
BUC
stands for bounded uniformly continuous
Let (X, d) be a metric space. Show that the set V of Lipschitz continu- ous bounded functions from X to R is a dense linear subspace of BUC(X, R). Since, in general, V #BUC(X, R), V is not a closed subset of BUC(X, R). Hint: For f EBUC(X, R) define the sequence (fr) by fn(x)...
please i need the question 15 for the detailed proof and
explaination ! thanks !
233 42 Isometries, Conformal Maps 14, we say that a differentiable map ф: S,--S2 preserves angles when for every p e Si and every pair vi, v2 E T (S,) we have cos(u, 2) cos(dp, (vi). do,()). Prove that pis locally conformal if and only if it preserves angles. 15. Letp: R2 R2 be given by ф(x, y)-(u (x, y), u(x, y), where u and...
Please help me solve 3,4,5
3- For all n € N, let an = 1. Let S = {an in€ N}. 3-1) Use the fact that lim - = 0 and the result of Exercise 1 to show that 0 ES'. Ron 3-2) Use the result of Exercise 2 to show that S = {0}. 4- Prove that 4-1) N' = 0. 4-2) Q =R. 5- Recall that a set KCR is said to be compact if every open cover...
Lemma. If two vector spaces have the same dimension then they are isomorphic Proof. To show that any two spaces of dimension n are isomorphic, we can simply show that any one is isomorphic to R. Then we will have shown that they are isomorphic to each other, by the transitivity of isomorphism (which was established in the first Theorem of this section) Theorem 1 Isomorphism is an equivalence relation among ctor spaces Let v be n--dimensional. Fix a basis...
Please don't copy other
expert's answer. I'm re-posting it because I think that is not
right or not enough. Please someone who really knows the answer
answer to this problem.
2. (A simulated economy) Let Y,-F(K, Lt-AK L. The discrete time version of the capital accumulation equation is given by Lo-1 and labor grows at a rate of n-0.01. A-1. K0 0.01 and δ 0.07 c) Assume the economy is in a steady state and s0.3. Explain what happens to...
Please answer 9.5 from Networks by Mark Newman
tion 9.3.3 for Internet data 9.5 The false positive rate B defined in Section 9.3.5 is the probability of erroneously observing an edge where none exists. Arguably a more useful measure, however, is the false discovery rate, which is the probability that an actual observed edge is itself a false positive, which is not the same thing. Suppose we measure a network once, producing an observed adjacency matrix O with elements Oij....
Can you help me with this question please? For the code, please
do it on MATLAB. Thanks
7. Bonus [3+3+4pts] Before answering this question, read the Google page rank article on Pi- azza in the 'General Resources' section. The Google page rank algorithm has a lot to do with the eigenvector corresponding to the largest eigenvalue of a so-called stochastic matrix, which describes the links between websites.2 Stochastic matrices have non-negative entries and each column sums to1, and one can...
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