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Discrete Mathematics Math Proofs

04/19/16

10 Very challenging proof: Prove that for every natural number n, cos(nx) can be expressed as a polynomial in cos(x) of degree n

Pleas helm me with this. Its a practice problem, and I do not know how to do it. Thanks!

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Discrete Mathematics Math Problem

03/24/16

please help wit the problem below

prove that for every n∈N, ∑k2=(n(n+1)(2n+1))/6. Prove using mathematical induction

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Discrete Mathematics Discrete Math Math Help Mathematics

03/21/16

prove that there does not exist n belongs to N such that n congruent 2 (mod 4) and n congruent 4 (mod 8)

prove that there does not exist n∈N such that n≡2 (mod 4) and n≡4 (mod 8). Please help this was on my last exam but I was very lost and my professor did not have enough time to go over it in class.

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Discrete Mathematics Discrete Math Proof

03/15/16

Let n belong N. Define r:N2n --> N2n by r(x)= x+1 if x is odd, r(x)= x-1 if x is even. Prove that r is a bijection.

"N2n→ N2n" Just for clarification. Please help me! I have an exam I need to study for and my professor said something like this might show up on it. Thank you!

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Discrete Mathematics

03/10/16

convert(1001111101101)2 to base 16

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Discrete Mathematics

03/10/16

convert (7A3E)16 to binary

could you help me how can I convert (7A3E)16 to binary

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Discrete Mathematics Discrete Math Logic Proof

03/08/16

Prove that the function f : Z ? N defined by f(x)=(|4x+1|+1)/2 is injective

PLEASE HELP

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Discrete Mathematics

02/19/16

Discrete Mathematics

A={ -4 ,-3 ,-2 ,-1 ,0 ,1 ,2 ,3 ,4} R is defined on A as follows: For All (m,n) ∈A,m R n ⇔ 5 | (m^2- n^2 )

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Discrete Mathematics Discrete Math

02/11/16

For all real equations, prove f is decreasing if -f is decreasing

I believe the problem was to write a proof that proved For all real equations, prove f is decreasing if -f is decreasing

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Discrete Mathematics Probability & Statistics

12/09/15

Probability of winning a laptop?

There is going to be a raffle in the College of Engineering and Computer Science. They are going to give away one prize. It willbe either a coffee mug, and old mouse, or a brand new Alienware... more

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Discrete Mathematics Computer Science

12/03/15

No DFA question

Which of these four languages has no DFA? Select one: a. {aibj: for every prime p with p < 1000000, i is congruent to j modulo p}. b. {w: w in (a+b+c+...+z)* and w can be written as xyz where... more

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Discrete Mathematics Discrete Math Mathematical Induction Mathematical Proof

11/19/15

Proof by induction.

Proof by mathematical induction that for every integer h ≥ 0 there exists binary tree of height h with 2h leaves.

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Discrete Mathematics Discrete Math Computer Science Mathematical Induction

11/19/15

Proof by mathematical induction.

Proof by mathematical induction that for every integer h ≥ 0 there exists binary tree of height h with 2h leaves.

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Discrete Mathematics Discrete Math Math Proofs Binary Tree

10/21/15

What is the minimum height height of a full binary tree?

What is the minimum height of a full binary tree T which has nodes n(T) = 2k-1 for k= 1, 2, ... ?

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Discrete Mathematics Computer Science Binary Tree

10/21/15

How many full binary tree's T, exist with the height:

How many full binary tree's T, exist with the height: a) h(T) = 1 b) h(T) = 3 Can someone please explain this to me?

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Discrete Mathematics Discrete Math Resolutions Proposition

10/20/15

Prove the following proposition using resolution.

Prove the following proposition using resolution. [(p → q) ∧ (q → r) Λ p] → r Show first the conjunctive normal form of the negation of the proposition. Then show a sequence of numbered... more

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Discrete Mathematics Division Discrete Probability Distribution Properties Of Divisibility

10/08/15