(c) Derive the time evolution k₁ = ki(t) of the expected degree ki of a node i for t≫ 1in the mean-field, continuous approximation.(d) Consider the case a = (0, 1) and assume that we know the value of C. Derive thedegree distribution in the mean-field approximation. Consider the following model to grow simple networks. At time t = 1 the network isformed by no = 3 nodes and mo= 1 link. At each time step t> 1 a new node is addedto the network. The node arrives together with 3 new links, which are connected to 3different nodes already present in the network. The probability II; that a new link isconnected to node j is:kII; =57where k; indicates the degree of node j, a € [0,1] and Z = 1. Assume that fort> 1 we can approximate Z as ZCt where C is a time-independent constant.

Answered: Image /qna-images/answer/c57c3925-7977-4194-a0fa-32e2ebf5bea8.jpg

Answered: (c) Derive the time evolution k₁ =…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A CI is desired for the true average stray-load loss u (watts) for a certain type of induction motor when the line current is held at 10 amps for a speed of 1500 rpm. Assume that stray-load loss is normally distributed with a = 3.1. (Round your answers to two decimal places.) Compute a 95% CI for u when n = 25 and x = 57.5. ) watts Compute a 95% CI for u when n = 100 and x = 57.5. ) watts Compute a 99% CI for u when n = 100 and x= 57.5. watts Compute an 82% CI for u when n = 100 and x = 57.5. watts ) How large must n be if the width of the 99% interval for u is to be 1.0? (Round your answer up to the nearest whole number.)
A CI is desired for the true average stray-load loss (watts) for a certain type of induction motor when the line current held at 10 amps for a speed of 1500 rpm. Assume that stray-load loss is normally distributed with = 2.9. (Round your answers to two decimal places.) (a) Compute a 95% CI for μ when n = 25 and x = 59.1. watts (b) Compute a 95% CI for when n = 100 and x = 59.1. watts (c) Compute a 99% CI for μ when n = 100 and x = 59.1. watts (d) Compute an 82% CI for when n = 100 and x = 59.1. watts (e) How large must n be if the width of the 99% interval for is to be 1.0? (Round your answer up to the nearest whole number.) n =
Can you solve this question please
Q5 Find the variance for the PDF px(x) = e-«/2, x > 0.
Let s be the sample variance of a random sample of size n1 fron a Normal(41,o²) population and s, be the sample variance of a random sample of size 12 from a Nornal(µ2,0²) population and the two samples are independent. Note that the two samples have the same population variance o² but µi # j12 and n1 # 12. Define the pooled variance estimator as (n1 – 1)sỉ + (n12 – 1)s3 T1 + n2 - 2 -- Is s? unbiased for o2 ? Explain with precisc computation. Find the distribution of ºP. Give the reasoning of your answer. Find the variance of s.
A CI is desired for the true average stray-load loss u (watts) for a certain type of induction motor when the line current is held at 10 amps for a speed of 1500 rpm. Assume that stray-load loss is normally distributed with o = 2.1. (Round your answers to two decimal places.) (a) Compute a 95% CI for u when n = 25 and x = 59.7. 58.88 60.52 watts (b) Compute a 95% CI for u when n = 100 and x = 59.7. 59.29 60.11 watts (c) Compute a 99% CI for u when n = 100 and x = 59.7. 59.16 60.24 watts (d) Compute an 82% CI for u when n = 100 and x = 59,7. 59.42 59.98 watts (e) How large must n be if the width of the 99% interval for u is to be 1.0? (Round your answer up to the nearest whole number.) n = |30
True false d,e,f
A CI is desired for the true average stray-load loss ? (watts) for a certain type of induction motor when the line current is held at 10 amps for a speed of 1500 rpm. Assume that stray-load loss is normally distributed with ? = 2.1. (Round your answers to two decimal places.)
SOLVE STEP BY STEP IN DIGITAL FORMAT PLEASE Through the point P(-2,-7) tangents are drawn to the ellipse 2x² + y² + 2x-3y - 2 = 0; determine the equations of the tangents and the points of tangency +

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