Give an example of integers a, b, m such that a 2 ≡ b 2 (mod...

Give an example of integers a, b, m such that a 2 ≡ b 2 (mod m), but a 6≡ b (mod m)

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Colby Messinger answered 2 years ago

Show that if a and b are integers with a ≡ b (mod p) for every...

Show that if a and b are integers with a ≡ b (mod p) for every prime p, then it must be that a = b

Let t= 20389208 mod 4 and M= t+25 a. Find integers a and b such that...

Let t= 20389208 mod 4 and M= t+25 a. Find integers a and b such that 0<a<M, 0<b<M and ab= 0 (mod M) b. Find integers a and b such that 0<a<M, 0<b<M and ab= 1 (mod M) Thank you in advance!

S = Z (integers), R = {(a,b) : a = b mod 5}. Is this relation...

S = Z (integers), R = {(a,b) : a = b mod 5}. Is this relation an equivalence relation on S? S = Z (integers), R = {(a,b) : a = b mod 3}. Is this relation an equivalence relation on S? If so, what are the equivalence classes?

For m, n in Z, define m ~ n if m (mod 7) = n (mod...

For m, n in Z, define m ~ n if m (mod 7) = n (mod 7). a. Show that -341 ~ 3194; that is to say 341 is related to 3194 under (mod 7) operation. b. How many equivalence classes of Z are there under the relation ~? c. Pick any class of part (b) and list its first 4 elements. d. What is the pairwise intersection of the classes of part (b)? e. What is the union of...

2. Give a recursive algorithm to compute the product of two positive integers, m and n,...

2. Give a recursive algorithm to compute the product of two positive integers, m and n, using only addition and subtraction. Java Language...

1. "Give an example of a function that is defined on the set of integers that...

1. "Give an example of a function that is defined on the set of integers that is not a one-to-one function." Keep in mind that the above domain must be the set of integers. Identify what your codomain is, too. 2. "Give an example of a function that is defined on the set of rational numbers that is not an onto function." The above domain must be the set of rational numbers. Identify what your codomain is, too. This is...

0 mod 35 = 〈0 mod 5, 0 mod 7〉 12 mod 35 = 〈2 mod...

0 mod 35 = 〈0 mod 5, 0 mod 7〉 12 mod 35 = 〈2 mod 5, 5 mod 7〉 24 mod 35 = 〈4 mod 5, 3 mod 7〉 1 mod 35 = 〈1 mod 5, 1 mod 7〉 13 mod 35 = 〈3 mod 5, 6 mod 7〉 25 mod 35 = 〈0 mod 5, 4 mod 7〉 2 mod 35 = 〈2 mod 5, 2 mod 7〉 14 mod 35 = 〈4 mod 5, 0 mod 7〉...

give an example of a discrete random variable X whose values are integers and such that...

give an example of a discrete random variable X whose values are integers and such that E(X) = infinite. Prove that E(X) = infinite for your example. (hints: if you will be paid 2^k dollars for the kth head when you flip a fair coin., the expected value is infinite...) Or give other easy examples.

Give an example describing a queuing system using the Kendall-Lee notation (like M/M/s). Give an example...

Give an example describing a queuing system using the Kendall-Lee notation (like M/M/s). Give an example of applying Little’s law to a queuing system problem. Define and give an example of a stochastic process Define and give an example of discrete vs. continuous time stochastic processes Define and give and example of discrete vs. continuous state space stochastic processes. Define what is meant when a stochastic process is Markovian NEED ANSWERS ASAP

Express all solutions to the following equations as sets of integers: (a) 7x ≡ 12 mod...

Express all solutions to the following equations as sets of integers: (a) 7x ≡ 12 mod 13 (b) 10x ≡ 4 mod 6 (c) 6x ≡ 8 mod 12

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