Let R1 be a binary relation on the set of integers defined as follows: R1 = {(x, y) / 4 divides x – y}. Determine whether the given relation R1 is an equivalence relation on the set {1, 2, 3,

17,687 results
  1. MATH

    Check It For Me Pleaseee Question 1 A) How do you know whether a relation is a function?(1 point) -By determining if each value from one set maps to another set such that each element of the domain pairs with exactly two elements of the range. -By

  2. Discrete Math

    Which of these relations on {0, 1, 2, 3} are equivalence relations? Justify the relation(s) that are not equivalent. R1: {(0,0), (1,1), (2,2), (3,3)} R2: {(0,0), (1,1), (1,3), (2,2), (2,3), (3,1), (3,2), (3,3)} R3: {(0,0), (0,1), (0,2), (1,0), (1,1),

  3. Maths

    if relation r1 and r2 from set A to set B are defined as r1{(1,2),(3,4),(5,6)} and r2 ={(2,1),(4,3),(6,5)}, then n(AXB) Options A)35 B)91 C)53 D)55

  4. Math

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  5. Math

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  6. Discrete Math

    Consider the following relations on R, the set of real numbers a. R1: x, y ∈ R if and only if x = y. b. R2: x, y ∈ R if and only if x ≥ y. c. R3 : x, y ∈ R if and only if xy < 0. Determine whether or not each relation is flexible, symmetric,

  7. math

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  8. computer science

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  9. Further maths

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  10. Science

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  11. Math

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  12. Math

    How do we convert 1111010.11(binary) to decimal by first representing it in BCD form and then converting it to decimal An example given in the note has divided the integer part of the given binary number by 1010 successively and multiplied the fractional

  13. Maths

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  14. Math

    The binary operation *on the set R of all real numbers is defined as a*b=2a+3b-5. a)find the inverse element of* b)show whether or not *is commutative c)find -3 *1/4

  15. Math

    I suggest if you cannot check them please don't comment. Not trying to be rude but pretty sure most u know what I mean. I am not here for answers just for someone to check my work 6th grade math. 1. -15 > -21 A. > B. < C. = Which number is greater than -24

  16. Maths(please check urgently

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  17. SAT math

    Set M consists of the consecutive integers from -15 to y, inclusive. If the sum of all the integers in set M is 70, How many numbers are in the set? SAT prep help - Anonymous, Saturday, September 28, 2013 at 3:16pm a. 33 b. 34 c. 35 d. 36 e. 37

  18. Math

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  19. Math

    The least integer of a set of consecutive integers is -25 if the sum of these integers is 26,how many integers are in this set?

  20. algebra

    Hello there can someone help me check these 2 questions please. 1. Determine if the set of points (−1,3), (2,5), (3,8), and (4,5) is a function. Explain. A. The set of points is a function because each value in the domain corresponds to exactly one value

  21. Math

    I am not here for answers just for someone to check my work 6th grade math. -15 > -21 Which number is greater than -24 A. -42 B. -27 C.-16*** D. -32 Which set of integers is ordered from least to greatest? A. -13,4,0,-8 B. -5,-2,3,1 *** C. -12,-8,-4,7 D.

  22. Maths!!!

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  23. Peter

    For all positive integers w and y, where w > y, let the operation ☺ be defined by w ☺ y = (2^(w + y))/(2^(w - y)). For how many positive integers w is w ☺ 1 equal to 4? A. More than four B. None C. One D. Two E. Four *I found only 3/5 as the answer

  24. DISCRETE MATH

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  25. Algebra

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  26. Math

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  27. math

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  28. Computer Science

    Convert the following binary numbers to decimal (6 points): 11111 101011 1101011 Convert the following decimal numbers to binary (6 points): 49 367 1023 Convert the following hex numbers to decimal (4 points): ACE 800 Convert the following decimal numbers

  29. SAT prep help

    Set M consists of the consecutive integers from -15 to y, inclusive. If the sum of all the integers in set M is 70, How many numbers are in the set?

  30. math

    If a * b is a binary operation defined as a + b / a , evaluate 2 * 4.

  31. Discrete Mathematics

    Suppose a0, a1, a2 ,... is a sequence defined recursively as follows: a1 = 1, a2 = 2, a3 = 3 and ak = ak-1 + ak-2 + ak-3 for all integers k > 3. Use strong induction to show that an < 2n for all integers n ≥ 1.

  32. physics

    Black hole in X-Ray Binary. An X-ray binary consists of 2 stars with masses (the accreting compact object) and (the donor). The orbits are circular with radii and centered on the center of mass. (a) Find the orbital period of the binary following the

  33. mathematics

    A binary operation ∆ defined on the R of real numbers by a∆b=A square-2ab+bsquare where a,bER find (a)R such that 2∆(-5)=√8. (b) (x+1)∆x out of x, x is not equal to 0.

  34. Discrete Math

    Consider the following relation on R1, the set of real numbers R1 = {(1,1), (1,2), (2,1), (2,2), (3,3), (4,4), (3,2), (2,3)} Determine whether or not each relation is flexible, symmetric, anti-symmetric, or transitive. * Reflexive because the relation

  35. college math question

    Find the GCD of 24 and 49 in the integers of Q[sqrt(3)], assuming that the GCD is defined. (Note: you need not decompose 24 or 49 into primes in Q[sqrt(3)]. Please teach me . Thank you very much. The only integer divisor of both 24 and 49 is 1. I don't

  36. Pre Cal.

    Given that x is an integer between -2 and 2, state the relation represented by the equation y = 2-abs(x) by listing a set of ordered pairs. Then state whether the relation is a function. I think it's: (-2,0) (-1,1) (0,2) (1,1) (2,0)

  37. geometry!!! please help me!!!!

    Determine the least positive integer n for which the following condition holds: No matter how the elements of the set of the first n positive integers, i.e. {1,2,…n}, are colored in red or blue, there are (not necessarily distinct) integers x,y,z, and w

  38. Elementary Set Theory

    An operation * is defined by the relation x*y = 5x + 3y - 4xy Evaluate (3*2)*4

  39. Set Theory

    1)An operation* is defined by the relation x*y = 5x + 3y - 4xy Evaluate i) (2*(-1)) ii) (3*2)*4

  40. Math

    Let R1 be a binary relation on the set of integers defined as follows: R1 = {(x, y) / 4 divides x – y}. Determine whether the given relation R1 is an equivalence relation on the set {1, 2, 3, 4, 5}.

  41. Discrete Mathematics. Need Help

    Let A be the set of all ordered pairs of positive integers and R be the relation defined on A where (a,b)R(c,d) means that b-a=d-c. a)Show that R is an equivalence relation. b)Find [(3, 5)] and [(7, 1)].

  42. Maths

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  43. Maths

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  44. Geometry and Discrete Mathematics (Proofs)

    Observe that the last two digits of 7^2 are 49, the last two digits of 7^3 are 43, the last two digits of 7^4 are 01, and the last two digits of 7^5 are 07. Prove that the last two digits of 7^201 are 07. 7^2 = ...49 7^3 = ...43 7^4 = ...01 7^5 = ...07

  45. math

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  46. math

    indicates required items An operation * is defined by the relation x*y = 5x + 3y – 4xy. Evaluate [2*(-1) ] A. 15 B. 10 C. 8 D. -3 A B C D An operation * is defined by the relation x*y = 5x + 3y – 4xy. Evaluate (3*2)*4 A. -15 B. 45 C. 48 D. 12 A B C D

  47. math

    Which of the following are binary operation.justify your answer. (i) the operation . defined on Q by a.b =a(b-a) (ii) the operation . defined on [0, pi] by x.y = cosxy also,for those operation which are binary operations,check whether they are associated

  48. Maths

    A sequence {ai}is defined by the recurrence relation an=40−4an−1 with a0=−4. There exists real valued constants r,s and t such that ai=r⋅si+t for all non-negative integers i. Determine r2+s2+t2.

  49. Discrete Math

    a) Show that the relation R on Z x Z defined by (a , b) R (c, d) if and only if a + d = b + c is an equivalence relation. b) Show that a subset of an anti symmetric relation is also anti symmetric. c) Suppose that R is a symmetric relation on a set A. Is R

  50. Math

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  51. DISCRETE MATH

    We have a relation R on Z+ defined as follows: mRn if and only if m|n. Determine the set B = {n ∈ Z|52Rn}. Thanks

  52. Geometry(first one is typo)

    Let ƒÆ=sin −1 7/25 . Consider the sequence of values defined by a n =sin(nƒÆ) . They satisfy the recurrence relation a n+2 =k 1 a n+1 +k 0 a n ,n¸N for some (fixed) real numbers k 1 ,k 0 . The sum k 1 +k 0 can be written as p q , where p and q are

  53. Geometry

    Let ƒÆ=sin −1 7 25 . Consider the sequence of values defined by a n =sin(nƒÆ) . They satisfy the recurrence relation a n+2 =k 1 a n+1 +k 0 a n ,n¸N for some (fixed) real numbers k 1 ,k 0 . The sum k 1 +k 0 can be written as p q , where p and q are

  54. Geometry

    Let ƒÆ=sin −1 7 25 . Consider the sequence of values defined by a n =sin(nƒÆ) . They satisfy the recurrence relation a n+2 =k 1 a n+1 +k 0 a n ,n¸N for some (fixed) real numbers k 1 ,k 0 . The sum k 1 +k 0 can be written as p q , where p and q are

  55. 11th grade mths

    Please check urgently .I have to submit the assignment A give an example of a function whose domain equals the set of real numbers and whose range equals the set? the set {-1,0,1} BGive an example of a function whose domain equals (0,1)and whose range

  56. Maths

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  57. Maths

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  58. Mathematics

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  59. Math

    A binary operation * on the set of real numbers is defined by a*b= a+b-ab for a,b, c is belongs to R. i) show that the operation is associative. That is, (a*b)*c=a*(b*c) for all a,b,c belongs to R. ii) Find the value of -5*8 and also the value of

  60. Math

    Given the following partition of the set A = { 6, 7, 8, 9, 10, 11 }. Find the associated relation { [6, 7, 8], [10], [9, 11] }. What I understand is that a relation must be transitive, reflexive, and symmetric. How could I show that set A exhibits these

  61. Math

    A binary operation * is defined on the set R of real numbers by:a*b=a+b+ab where a, b € R.Calculate 5*(-2)*5. Find the identity element if R under the operation *. Determine the inverse under * of a general element a € R.

  62. math

    what is the factorial of a negative number? The factorial function has singularities at the negative integers. You can see this as follows. For integers we define: (n+1)! = (n+1)n! and we put 0! = 1 So, from 0! you can compute 1! and from that you can

  63. Math

    List the members of the equivalence relation on the set {1, 2, 3, 4} defined by the given partition { {1}, {2, 4}, {3} }. Also, find the equivalence classes [1], [2], [3], and [4].

  64. Maths

    A give an example of a function whose domain equals the set of real numbers and whose range equals the set? the set {-1,0,1} BGive an example of a function whose domain equals (0,1)and whose range equals [0,1] C.Give n example of a function whose is the

  65. Math

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  66. math

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  67. Discreet Mathematics

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  68. math

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  69. Math

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  70. MATH

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  71. math

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  72. Math

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  73. math

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  74. math

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  75. physics

    Black hole in X-Ray Binary. (2.75/11.0 points) An X-ray binary consists of 2 stars with masses (the accreting compact object) and (the donor). The orbits are circular with radii and centered on the center of mass. (a) Find the orbital period of the binary

  76. mathematics

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  77. Discrete Math

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  78. chemistry

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  79. MATH combinatorics HELP!!!!!

    Determine the least positive integer n for which the following condition holds: No matter how the elements of the set of the first n positive integers, i.e. {1,2,…n}, are colored in red or blue, there are (not necessarily distinct) integers x,y,z, and w

  80. Math

    How many subsets does this set have? A = {A, B, C, D} 10 6* 8 16 Question 2 Is {3,4} ⊂ {set of integers} no yes* Question 3 Which of the following is a subset of A = { whole numbers} {-2, 4, 7}* {0, 4, 7} {1/2, 4, 7} {1.5, 4, 7} Question 4 If U = Set of

  81. math

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  82. math

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  83. Discrete Structures

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  84. maths

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  85. Math

    Suppose R is the relation on N where aRb means that a ends in the same digit in which b ends. Determine whether R is an equivalence relation on N. And, Suppose that R and S are equivalence relations on a set A. Prove that the R ¿ S is also an

  86. discrete math

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  87. math

    Let f:ℤ+ → ℤ+ be the function defined by: for each x ∈ ℤ+, f(x) is the number of positive divisors of x. - find integers m, n, nd k so tha f(m)=3, f(n) = 4 anf f(k) = 5 -is f one-to one? Explain, is f unto? prove is it true that all positive odd

  88. math help please

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  89. Statistics

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  90. stats

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  91. MAths

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  92. math

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  93. math

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  94. mathematics

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  95. Pre-Calculus

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  96. Math

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  97. Math

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  98. database

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  99. physics

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  100. database

    Given the Relational Model Notation below (in pages 156-157 of your book), extend it to define UNIQUE and NON-UNIQUE indexes for relations. The uppercase letters Q, R, S denote relation names. ■ The lowercase letters q, r, s denote relation states. ■

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