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Discrete Mathematics

08/20/17

Every year, Alice gets a raise of $3,000 plus 6% of her previous year's salary.

Every year, Alice gets a raise of $3,000 plus 6% of her previous year's salary. Her starting salary is $20,000. Give a recurrence relation for S(n), Alice's salary after n years, for n ≥ 0. S(n) =... more

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Discrete Mathematics

07/17/17

A={1+1(-n)2/n E n} Determine all elements

Determine all elements A={1+1(-n)2/ n E n}

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Discrete Mathematics

07/16/17

a={xEz+//x+2<5-} determine all elements

prime numbers a={xEz+//x+2<5-} determine all elements

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Discrete Mathematics

06/18/17

Prove the statement is true using mathematical induction: 2n-1 ≤ n!

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Discrete Mathematics Logic Circuit Logical Proposition

06/17/17

Create a logic circuit for the logical proposition.

Create a logic circuit for the logical proposition P∨Q∧¬P

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Discrete Mathematics Discrete Math Mathematics Math Answers

01/02/17

Home Work Assignmet

1. How many different positive integers can be made from the digits {2, 4, 6, 8} if repetitions are allowed? 2. What is the telescoping form of f(x) = x4 + 7x3 - x2 + 2x + 1 ? 3. Let r =... more

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Discrete Mathematics

12/28/16

How does P(X<= a) + P(X > a) = 1 becomes [P(X <= a) >= 1?

I would have to include pictures for it.

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Discrete Mathematics Calculus Discrete Math Number Theory

12/20/16

let d=(a,b) then a|bc if and only if a/d is a divisor of c

prove it if it is correct or give counterexample if it is falselet d=(a,b) then a|bc if and only if a/d is a divisor of c

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Discrete Mathematics Discrete Math Relations And Functions

12/12/16

Composition of relations on the real numbers.

Here are four relations defined on R, the set of real numbers:R1 = { (x, y): x ≤ y }R2 = { (x, y): x > y }R3 = { (x, y): x < y }R4 = { (x, y): x = y } Describe each relation below. (Hint:... more

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Discrete Mathematics Discrete Math

12/08/16

Relations and Functions (Home Work)

The Fibonacci sequence F0, F1, F2, F3, ... is an infinite sequence defined by the two initial values F0 =0, F1 =1, and the rule Fk = Fk-2 + Fk-1 for all k ≥ 2. Let Μ = [1 1 1 0]... more

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Discrete Mathematics Discrete Math Functions

11/24/16

Define functions f, g, h, all of which map from R -> R. (Discrete Mathematics, Functions)

f(x) = -(x - 1)g(x) = 2x2h(x) = 3x + 1 a. What is (f ο g)(-2)?b. What is (g ο f)(-2)?c. What is (f ο h)-1(3)?d. What is (f ο g ο h)(1)?e. What is (h ο h-1)(π)?

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Discrete Mathematics

10/31/16

n is a sum of two squares if n = a2 + b2 for integers a&b. If x&y are both sums of 2 squares, prove that xy is a sum of 2 squares.

Layout of the step by step procedure of solving the problem is needed please.

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Discrete Mathematics Math Discrete Math Math Help

10/25/16

Consider the surjective function cos: R ? [-1, 1] and let ~ be the associated equivalence relation x ~ y ?? cos x = cos y. Find the Equivalence Class

Consider the surjective function cos: R → [−1, 1] and let ∼ be the associated equivalence relationx ∼ y ⇐⇒ cos x = cos y. Describe the equivalence classes of ∼. (b) Do the analogous exercise... more

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Discrete Mathematics

10/25/16

Show that the set D = N × Z is countable.

We are told to find injection between the set D and the set of natural numbers N but I'm not really sure how to do that in this case

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Discrete Mathematics Math Statistics Statistics Question

10/16/16

Statistics Question

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Discrete Mathematics Discrete Math Groups Theory

09/29/16

show that R x Zn has an identity element.

Suppose that R is a ring of characteristic n. If addition and multiplication are defined in R x Zn = {(x, a)lx E R; a E Zn} by (x, a) + (y, b) = (x + y, a +n b), (x, a)(y, b) = (xy + ay + bx,... more

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Discrete Mathematics Discrete Math Groups Theory

09/29/16

Ideal and subring

please I want help with that Consider the ring Mn(R) ofn x n matrices over R, a ring with identity. A square matrix (aij) is said to be upper triangular if aij = 0 for i > j and strictly... more

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Discrete Mathematics Applied Math

07/28/16

Recursion and Recurrence Relations (Home Work)

1. Let αk = 3k + k - 2 for all k ≥ 0.a. Write down the values of α1, α2 and α3.b. Write down the values of A(1), A(2) and A(3) defined by the recurrence relation: A(0) = -1, A(k) = 3A(k-1) - 2k... more

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Discrete Mathematics

07/24/16

discerete mathematics

h) Suppose Marck (M) and Erick (E) are playing a tennis tournament such that the first person to win two games in a row or who wins a total of three games wins the tournament. Find the number of... more

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Discrete Mathematics

07/14/16

i ned solution of this please help

Show that p↔q≡(p→q)^(q→p)

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Discrete Mathematics

07/14/16

please help me solve this

h) Suppose Marck (M) and Erick (E) are playing a tennis tournament such that the first person to win two games in a row or who wins a total of three games wins the tournament. Find the number of... more

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Discrete Mathematics

07/14/16

please help me with the solution

b) Each student in liberal arts at some college has a mathematics requirement A and a science requirement B. a poll of 140 students shows that; 60 completed A, 45 completed B, 20 completed both A... more

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Discrete Mathematics Discrete Math Probability Probability Problems

06/13/16

Expected Value + Probability

Twenty distinct integers are arranged in a list in a random order, such that all 20! orderings are equally likely. Going down the list, one marks every number that is larger than all earlier... more

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Discrete Mathematics Combinations And Permutations

05/21/16

Seating arrangements of 7 boys and 5 girls in a row.

In how many ways can these boys and girls be arranged in a row if between two particular boys A and B there are no boys but exactly 3 girls?

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Discrete Mathematics Discrete Math Numbers Number Theory

05/11/16

Let p be a odd prime, If ord p (a) = h and h is even, then a^(h/2)= -1 mod p

Determine is, in general, true or false. Recall that auniversal statement is true if it is true for all possible cases while it is false if there is even onecounterexample. Be prepared to prove... more

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Every year, Alice gets a raise of $3,000 plus 6% of her previous year's salary.

A={1+1(-n)2/n E n} Determine all elements

a={xEz+//x+2<5-} determine all elements

Prove the statement is true using mathematical induction: 2n-1 ≤ n!

Create a logic circuit for the logical proposition.

Home Work Assignmet

How does P(X<= a) + P(X > a) = 1 becomes [P(X <= a) >= 1?

let d=(a,b) then a|bc if and only if a/d is a divisor of c

Composition of relations on the real numbers.

Relations and Functions (Home Work)

Define functions f, g, h, all of which map from R -> R. (Discrete Mathematics, Functions)

n is a sum of two squares if n = a2 + b2 for integers a&b. If x&y are both sums of 2 squares, prove that xy is a sum of 2 squares.

Consider the surjective function cos: R ? [-1, 1] and let ~ be the associated equivalence relation x ~ y ?? cos x = cos y. Find the Equivalence Class

Show that the set D = N × Z is countable.

Statistics Question

show that R x Zn has an identity element.

Ideal and subring

Recursion and Recurrence Relations (Home Work)

discerete mathematics

i ned solution of this please help

please help me solve this

please help me with the solution

Expected Value + Probability

Seating arrangements of 7 boys and 5 girls in a row.

Let p be a odd prime, If ord p (a) = h and h is even, then a^(h/2)= -1 mod p

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