Let *' be defined on the set N. Which of the following are both commutative and associative?

Q: Prove that neQ

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Q: Thoorem: is not closed set

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Q: , Giran me qiven family of ines for b=0, I, I 3, I6

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Q: (i) (Z- Q) and specified in it using the most concise notati

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Q: prove tuat Only Ø ond IR ere open Subsets of IR Mice handwritting will be appreciated!

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Q: 2. Show that any subset of a countable set is countable. 3. Show that a nonempty set S is countable…

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Q: A relation ''<'' is 1) İrreflexive. 2) Transitive. called a quasi-order on a set S if its: صواب ihi

A: We know that

Q: 3. is in the span of the set { -1 Birini seçin: O Doğru O Yanlış

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Q: Which condition would prove AJKL ~ AXYZ?

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Q: why Ua equals to empty set

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A: The objective is to prove that every set ∑of sentences that has finite models of all odd sizes must…

Q: Prove that Vtan a de – 7//2.

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Q: (a) What is the cardinality of the interval (0, 1), finite, countably infinite, or uncountable? (b)…

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Q: The infinite in tersection of -pon Set is ofen set.

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Q: Deteimine the set of vectuns sci, iti), (1tiyzi)f linealy dependent or linenly Indefendteut? is

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Q: 4. Prove that, VR, -11-

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Q: Show that {1, 2, 3}N, the set of all functions from the natural numbers to the set {1, 2, 3}, is…

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Q: Let {S,},EN is a disjoint seqeuence of measurable sets , then: HUS,

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Q: (4). Show that of X~UCO,!) as Y=-n-X)~ txponenkalla),

A: i) Uniform distribution : If X follows Uniform distribution over interval (a, b ) then cumulative…

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A: Total number of letters = 26 Letter y can occur only thrice. Letters m,b,t,k can occur only once.…

Q: let t={usx8 x-uiscoantableiuioi then Tis called Tcof

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Q: Give a set that is not closed under addition

A: In the question we have to give a set that is not closed under addition.

Q: 6. Give an example of a set S which is (i) bounded above but not bounded below, (ii) bounded below…

A: (i). Let  S = { ..., -5, - 4, - 3, - 2, - 1 }

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Q: Prove: 4 x,,x2x, ER, then |x, +x, +.. + x,| s |x,|+|x,|+... + |x,|

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Q: ind the all possible number of different multi sets of size '4' from -element set, in which at least…

A: In this question, the concept of permutation is applied. Permutation Permutations are frequently…

Q: Let S = {0, 1}. List all the strings of length 4 over S that contain three or more 0’s.

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Q: These are separate quesitons

A: a) At x = 2, f(2) lies in the fourth quadrant where y is negative. So f(2) is negativeb) From the…

Q: set of integers is denoted by Z

A: There is some standard notation for certain types of sets . Set of real numbers is denoted by R,…

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Q: Let X = {a, b, c} and R={(c, b),(a, c)}. Then Check the all properties reflexive,symmetric,…

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Q: 5. Deduce from (4) that the set {2} 2-: n = 1, 2, 3, ... is closed in R.

A: Given set  S =2 ∪2-1n  :  n=1  2,  3 , . . .

Q: uppose (X,≺) is a well-ordering. Then (X,≺) is not isomorphic to (pred(X,≺,x),≺) for any x ∈ X.

A: Set theory

Q: For what values of aand b is {u, v} an orthonormal set?

A: A set of vectors form an orthonormal set if all the vectors in the set are mutually orthogonal and…