let G beforthedbelianinteger no. shoudfrom into G. Chatacterre thef d. Show that it n isBelatiey porme to the order offor each elementunique af G90outhathomomoxphismananmap p: s ankemel ofG, then!hencethere isthatPromos phism:EGsuchan

It is given that, G be an Abelian group and n be any positive integer. We have to show that, the…

Answered: let G be an for abelian integer nyo.…

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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Suppose in a small town there are three places to eat, a Chineserestaurant, a Mexican restaurant, and a pizza place. Everyone in town eats dinnerin one of these places or has dinner at home. Assume that 20% of those who eat inthe Chinese restaurant go to Mexican next time, 20% eat home and 30% go to thepizza place. From those who eat in the Mexican restaurant, 10% go to the pizzaplace, 25% go to the Chinese restaurant, and 25% eats at home next time. Fromthose who eat at the pizza place, 30% eat at home, 30% eat at the Chineserestaurant, and 10% eat at the Mexican restaurant next time. Those who eat athome, 20% go to the Chinese restaurant, 25% go to Mexican restaurant, and 30% tothe pizza place. a. Set us the matrix of transition probabilities and show the transition b. Find the steady state probabilities c. In the long run, which restaurant will have the most customer
Suppose in a small town there are three places to eat, a Chineserestaurant, a Mexican restaurant, and a pizza place. Everyone in town eats dinnerin one of these places or has dinner at home. Assume that 20% of those who eat inthe Chinese restaurant go to Mexican next time, 20% eat home and 30% go to thepizza place. From those who eat in the Mexican restaurant, 10% go to the pizzaplace, 25% go to the Chinese restaurant, and 25% eats at home next time. Fromthose who eat at the pizza place, 30% eat at home, 30% eat at the Chineserestaurant, and 10% eat at the Mexican restaurant next time. Those who eat athome, 20% go to the Chinese restaurant, 25% go to Mexican restaurant, and 30% tothe pizza place. a. Set us the matrix of transition probabilities and show the transition diagram b. Find the steady state probabilities c. In the long run, which restaurant will have the most customer
Show that A × B ≠ B × A, when A and B are nonempty,unless A = B
Give an example of a closed subset S of R2 such that conv S is not closed.
2. Let T be a Diarbol, apply Tarry's order (Preorder)
On the set A={a,b,c,d} the table gives the folowing operation: (picture) Is (M,o) semigroup? I know it's semigroup. It should be closed and asociative, which I can proove by definiton. But, how can I proove other properties, it's not komutative, it doesn't have inverse element and neutral element? Can i also use contradiction?Please be more specific in explanation, so i can better understand the topic.Thank you, and have a nice day!
Show that if A and B are both n × n, then (a) det(AT BT ) = det(A) det(BT ); (b) det(AT BT ) = det(AT ) det(B).
A California study concluded that following 7simple health rules can extend a man’s life by 11 yearson the average and a woman’s life by 7 years. These7 rules are as follows: no smoking, get regular exer-cise, use alcohol only in mo deration, get 7 to 8 hoursof sleep, maintain prop er weight, eat breakfast, and do not eat between meals. In how many ways can a personadopt 5 of these rules to follow(a) if the person presently violates all 7 rules?(b) If the person never eats between meals and always exercises daily?
The five most common words appearing in spam emails are shipping!, today!, here!,available, and fingertips! (Andy Greenberg, “The Most Common Words In Spam Email,”Forbes website, March 17, 2010). Many spam filters separate spam from ham (email notconsidered to be spam) through application of bayes’ theorem. Suppose that for one emailaccount, 1 in every 10 messages is spam and the proportions of spam messages that havethe five most common words in spam email are given below.shipping! .051today! .045here! .034available .014fingertips! .014Also suppose that the proportions of ham messages that have these words areshipping! .0015today! .0022here! .0022available .0041fingertips! .0011a. If a message includes the word shipping!, what is the probability the message is spam?If a message includes the word shipping!, what is the probability the message is ham?Should messages that include the word shipping! be flagged as spam?b. If a message includes the word today!, what is the probability the…
The five most common words appearing in spam emails are shipping!, today!, here!,available, and fingertips! (Andy Greenberg, “The Most Common Words In Spam Email,”Forbes website, March 17, 2010). Many spam filters separate spam from ham (email notconsidered to be spam) through application of bayes’ theorem. Suppose that for one emailaccount, 1 in every 10 messages is spam and the proportions of spam messages that havethe five most common words in spam email are given below.shipping! .051today! .045here! .034available .014fingertips! .014Also suppose that the proportions of ham messages that have these words areshipping! .0015today! .0022here! .0022available .0041fingertips! .0011a. If a message includes the word shipping!, what is the probability the message is spam?If a message includes the word shipping!, what is the probability the message is ham?Should messages that include the word shipping! be flagged as spam?b. If a message includes the word today!, what is the probability the…
The five most common words appearing in spam emails are shipping!, today!, here!,available, and fingertips! (Andy Greenberg, “The Most Common Words In Spam Email,”Forbes website, March 17, 2010). Many spam filters separate spam from ham (email notconsidered to be spam) through application of bayes’ theorem. Suppose that for one emailaccount, 1 in every 10 messages is spam and the proportions of spam messages that havethe five most common words in spam email are given below.shipping! .051today! .045here! .034available .014fingertips! .014Also suppose that the proportions of ham messages that have these words areshipping! .0015today! .0022here! .0022available .0041fingertips! .0011a. If a message includes the word shipping!, what is the probability the message is spam?If a message includes the word shipping!, what is the probability the message is ham?Should messages that include the word shipping! be flagged as spam?
How would you write a formal proof for if AnB = B then B is a subset of A?

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let G be an for abelian integer nyo. shout out that the map an : is from G into G. Characterize the kernel of d- Show that if nis relatively prime to the order of G, then dis isomorphism. an hence there is that for each element unique af G a un J = q^. homomorphism дея such