using this xp')-p(W)- lpcad wshow that recursion relation

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Suppose you draw n lines in the plane so that every pair of lines cross (no lines are parallel) and…

A: Let n be the number of non parallel lines. Given that number of regions= Rn Let Un represent maximum…

Q: List the ordered pairs in the equivalence relations produced by these partitions of (0, 1, 2, 3, 4,…

A: Solution: If P=A0,A1,.....,Ak be a partition of a set A then the partition generates an equivalence…

Q: Every equivalence relation is reflexive. True False

A: A relation is said to be an equivalence relation if and only if the relation R is reflexive,…

Q: How many equivalence relations on A=|42| are there that have distinct equivalence classes of size 4,…

A: Given A=|42| and distinct equivalence classes of sizes 4, 7,7, 8,8, and 8.

Q: is the following relation a functic {(1, 5), (-1, 7), (1, 8), (-4,9)} yes no

A: 1, 5, -1, 7, 1, 8, -4, 9.

Q: 1. Find all equivalence relations on{1,2,3}.

A: Given set is, 1,2,3

Q: Either show the following relations on {0, 1, 2, 3} is an equivalence relation, or show  which…

A:

Q: 26. Use Algorithm 1 to find the transitive closures of these relations on {a, b, c, d, e}. a) {(a,…

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Q: Suppose R is both an equivalence and partial order relation. Show that every equivalence class of R…

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Q: The equivalence class of -2 for the relation congruence modulo 5 is о (... -11, -6, —1,4, 9, 14,…

A: Second option is correct.

Q: 22) (a) Show that the relation {(0,0), (1,1),(1,2), (2,1), (2,2), (3,3)} is an equivalence relation…

A: Given 0,0,1,1,1,2,2,1,2,2,3,2

Q: Consider the set of all members belonging to the same family and the binary relation defined as " to…

A: GIVEN: The set of all members belonging to the same family and the binary relation defined as " to…

Q: Proof of ASA Congruence Theorem.

A:

Q: Provide an example to show that connectedness is not a hereditary property.

A: A property P1 is said to be hereditary: If any topological space X inherits the property P1 and all…

Q: 1.What is Relation?…

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Q: The equivalence class of -1 for the relation congruence modulo 5 is о (.., -12, —7, —2,3, 8, 13, ..}…

A: The equivalence class of -1 is denoted as -1 and defined as -1=x mod 5; where x∈R. For example: take…

Q: Suppose A = {-4,-3,–2,–1,0,1,2,3,4} and R is defined on A by aRb a² - b² is divisible by 4. Prove…

A: A relation R on a set A is said to be an equivalence relation, if it satisfies the following three…

Q: I have to identify the recursive and explicit rule. I need to select two

A: Answer: Option F f(n)=f(n-1) . r Option A f(n)=3. 4n-1

Q: Determine whether the relation R on  the set of all people is reflexive,symmetric, antisymettric…

A: Consider the provide question,

Q: Consider defined What that it functic of rec c) Define

A: Let the given function be: f(x)=x2-1x2-1                 ...........1

Q: Define the relation∼ on Nby m ∼ n if and only if the sum of the distinct primes that divide m is the…

A: To test if the given relation satisfies the conditions for reflexivity, symmetry and transitivity

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A: A boolean expression is CNF (Conjunctive normal form) if it is a product of sums. And, a boolean…

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Q: Give an example and proof of an existence theorem that can be proved by “constructive proof” and…

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Q: The equivalence class of -1 for the relation congruence modulo 5 is O {...,-12, –7, –2, 3,8, 13,…

A:

Q: Let A = {1,2,3,4} and let R = {(1,1),(1,2),(2,1),(2,2),(3,4),(4,3),(3,3),(4,4)} . Show that R is an…

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Q: Essentials of DISCRETE MATHEMATICS   Q: Shot that the relation “congruency modulo n” is an…

A: We have to show that the relation “congruency modulo n” is an equivalence relation.

Q: The class list was implemented on singular linked list. Re-implement it on doubly linked list take…

A: To create doubly linked list class to insert an element at a certain position delete an element…

Q: 7. Let P be the congruence modulo 6 relation. Note, this is an equivalence relation. a. List 5…

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Q: Arithmetical division (+) is binary relation on Z+ ООО

A: '*' is a binary relation on A. If, a*b is in A. For all a,b in A.

Q: Let A = {1, 2, 3, 4, 5, 6, 7, 8}.  How many possible symmetric relations over A contain the ordered…

A: A relation R is said to be symmetric if a,b∈R implies b,a∈R. It is given that A = {1, 2, 3, 4, 5, 6,…

Q: (d) Give an example of an equivalence relation on the set f1,2, 3} with exactly two equivalence…

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Q: Define: what is an equivalence relation?

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Q: The binary relation {(1,1), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2)} on the set {1, 2, 3} is: O…

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Q: Let R be the set of all binary relations on the set {1, 2, 3}. Suppose a relation is chosen from R…

A: Introduction :Given , R : set of all binary relations on the set {1,2,3}We have asked to find the…

Q: 1. Evaluate lim dt (show all work and logic)

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Q: 3.3: Is brotherOf an equivalence relation on the set of all people?? How about siblingof?, same…

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Q: Let RC R+ x R+ with R = {(x, y)|[x] = [y]}, that is, x and y round up to the sane number.…

A: Given problem is :

Q: Define Recurrence relation and discuss its applications?

A: It is required to define recurrence relation.

Q: Investigote whether the tronsformation defined as L:R² -- R?, L(x,y)=(xty, x-3) is on isomorphism.

A: Solution: The transformation L:ℝ2→ℝ2 is defined as Lx,y=x+y, x-3

Q: 2) Let A be the set of all integers. Suppose that xRy + x and y have the same reminder when divided…

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Q: Find all equivalence relations on {1,2, 3}.

A: A relation R on a set A is said to be an equivalence relation if it is reflexive symmetric and…

Q: equivalence

A:

Q: Either show the following relations on {0, 1, 2, 3} is an equivalence relation, or show which…

A: Either show the following relations on {0, 1, 2, 3} is an equivalence relation,

Q: What is equivalence relation

A: For a set A, a relation R defined on A is called EQUIVELENCE RELATION, if it is REFLEXIVE, SYMMETRIC…

Q: Proof of AAS Congruence Theorem.

A: As per given question  We have to proof aas congruence

Q: Suppose that you start browsing the internet on a specified page c. Let x be all the websites you…

A: The process in which a function calls itself directly or indirectly is called recursion and the…

Q: Recall that binary relations are merely sets of pairs of elements of some set. Therefore if R and Q…

A: We have to check R union Q antisymmetric if R and Q antisymmetric