1.5 Prove that all the a-cuts of any fuzzy set A defined on R" are convex if and only if such that r, s EN", λ E [02]

Q: U = {x: x is first ten positive integers} A = (1, 2, 5, 6, 9, 10} B=(2, 4, 6, 8, 10} C = (3, 4, 7,…

A: Here A-B =the set of all those elements which are in A but not in B             i.e A-B={1,5,9} And…

Q: 1. 2+(9-4) 2. 2 (13+5-14+(3+4)) 3. 7+(12-3) 4.7+(12-3)-

A: 1. 2+(92 - 1) = 2+ (81 - 1) = 2 + 80 = 82     2. 2.(13+5-14÷(3+4)) =2.(18 -14÷7) = 2.(18-2) = 2.16 =…

Q: What is Secant Method? Explain and with proof or urls.

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Q: assume that A={6,8,4,g} and B={3,2,8,d,h,g}. (a) n(A×B)= (b) n(B×B×B)=

A: a) Given that A={6,8,4,g} and B={3,2,8,d,h,g}So, A has 4 distinct elements and B has 6 distinct…

Q: at II Prove that if a;-ta and b;→ aj + q sa+b. →a and b.

A: See the attachment

Q: V₁ = M 0 , V₂ = 1 and V3 = 11 0 -5 [3] เย เย Use the Gram-Schmidt procedure to produce an orthogonal…

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Q: Let p: Today is Friday: q: There is homework tonight. Translate the following statement into words.…

A: ^ represents conjunction meaning AND. ~ represents negation meaning NOT.

Q: How may elements are in the set [-2, 2] \N?

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Q: f(n) = 7n* + 3n² + 2 is %3D a) N(n5) b) N(n10) c) N(n*) d) It is not possible

A: We have to find the corresponding Big - O for the given function f(n). First we define the big O…

Q: list all the subsets of  {1,2,∅}   and {{R}} R= real number

A: Number of subsets of a set with n elements is 2^n

Q: Solve 1 Step Equations: Goal: To get the variable alone 1. Use the opposite operation to move terms…

A: 1) x-4=12 "Adding 4" on both sides of the above equation. x-4+4=12+4 x=16   2) 12=6x "Dividing 6" on…

Q: Let A = {1, 3, 5, 7, 9}, B = {3, 6, 9}, and C = {2, 4, 6, 8}. Find each of the following. (Express…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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Q: UA_n is open where A_n=(n-1,n).

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Q: Find An B. (Enter your answer in roster notation. Enter EMPTY or Ø for the empty set.) A = {x: x is…

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A: Introduction: According to the combination rule, if r distinct items are to be chosen from n items…

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A: Nyquist Stability Criterion: It states that the number of unstable closed-loop poles is equal to the…

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Q: Part 1: Coin Flipping Simulation For Part 1, use the coin-flipping simulator in StatCrunch. Answer…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Define Implementation of Runge–Kutta ?

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Q: Pleae Sotve the integet X+)V2a+1

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Q: Prove the statement that "The sum of three consecutive integer numbers is odd if and only if the…

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Q: True or False {2,3} is a subset of {-1,2,5,6}

A: Here {3} is not an element of the given set.

Q: प्रश्न 1 से 5 तक प्रत्येक व 1. (1-2x)s

A: I am solving the 1st part if you want all the parts to be solved then upload one question at a time.

Q: An operation * is defined on the set R by x * y = x +y+ 6 where x, y are elements of R. What is…

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Q: Question 3 Determine what rule of replacement was used: ((~A ·B) · (C v D)) V (~ ( ~ A · B) · ~ (C V…

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Q: Explain the Pythagorean Theorem, its proofs and applications. Requirements • Must be typed;…

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Q: what is the set rule for {(0,6)(1,5)...(6,0}

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Q: y QI:: Let X₁, X₂ ~ N(0,1) 1) X1-X₂ X₁ + X2 2) (x1+x²)2 X₁-X2 what dist of 2X² 3) x² + x²

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Q: How to show (0,1) is uncountable? It is from an introduction to higher mathematics.

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Q: 7. 5x2-60x - 140 8. 2x+32x+ 120 9. 6m +36m - 42 10. 14x2 + 7x – 21

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Q: () - -() n n Proposition 10. Let n and k be positive integers. Then k = n k k- 1 Special directions:…

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Q: . Evaluate ) (64)各 1) Cla5) o h)(a1) -3/2 25

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: Find the 25th term of : 2, -10, 50, .. Selected Answer: (2) + (25 – 1)*(-5) Answers: (2) + (25 -…

A: Given: The sequence of terms is provided as: 2, -10, 50, ……                             The 25th…

Q: Two distinct numbers are selected from the set {1, 2, 3, 4, . , 36, 37} so that the sum of the…

A: Distinct number: The term distinct number is used to refer to a number in a set that is not equal to…

Q: GIve a simple example of the Well Ordering Principle of Integers

A: We have to explain the Well Ordering Principle of Integers using an example.

Q: 2. Almost! But there's nothing that maps to 0. In your notes at the top you've listed ℕ={1,2,3,…},…

A: Solution:  f : Z → N Consider f(x) = |x| Now, we see, f(-1) = |-1| = 1 and f(1) = |1| = 1 although…

Q: 3.4.3: List all elements of given set expression. ay7 Jump to level 1 A = { 1, 5, 6, 9 } B = {1, 7,…

A: Given:  A=1, 5, 6, 9B=1, 7, 8C=1, 6, 7 To find: B⊕A-C

Q: Find the angle between the vector 3î +4 and the x axis 53.1 O 60.0 37.1 O 45.0 O 90.0 O

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.