Proof by mathematical induction that for every integer h ≥ 0 there exists binary tree of height h with 2h leaves.
Proof by mathematical induction that for every integer h ≥ 0 there exists binary tree of height h with 2h leaves.
Suppose that R and S are equivalence relations on a set A. Prove that the relation R ∩ S is also an equivalence relation on A.E
Suppose a machine on average takes 108 seconds to execute a single algorithm step. What is the largest input size for which the machine will execute the algorithm in 2 seconds assuming the number...
Proof by mathematical induction that for every integer h ≥ 0 there exists binary tree of height h with 2h leaves.
Prove that an integer n>1 is a prime if and only if all of the binomial coefficients C(n,k) (1<k<n) are divisible by n
let T = {(x,y) ∈ R x R(real numbers) | y = √x / (√(x-3)) Let D = {y ∈ R, | (x,y) ∈ T for x ∈ R}. for each one, decide if true or false a) 1/4 ∈ D b) 4 ∈ D why...
(a) Please count how many functions f : D → {0, 1} can be defined if the domain D is a finite set with the cardinality |D| = n. (b) Can you find a bijection between the set of all such...
Assume you have a predicate P(n). You know that P(8) is true and that P(k) → P(k + 5). For what values of n do you know that P(n) is true? Write your answer using mod arithmetic
suppose there are 12 seniors and 10 juniors in a schools honor society. ten honor students must be chosen to attend a conference. the conference organizers require that a school send more seniros...
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...
What is the minimum height of a full binary tree T which has nodes n(T) = 2k-1 for k= 1, 2, ... ?
how many odd three digit numbers can be made using the digits 1,2,3,4,5,7?
Find a closed form for these summations? n=100 a) ∑ 1/2 i=1 n=5 b) ∑ 1/3 &n...
We have to recurrence relation an = 2an-1 - an-2. Find a2 and a3 if: a) a0 = 1 and a1= 1? b) a0 = 0 and a1 = 0?
How many ordered pairs of real numbers will satisfy the equation 2x-5y=6 A)1 B)0 C)2 D)3 E)infinite Please Help!THANKS!
I really need help on these types of questions. I just don't understand how to do them. I don't even understand what math this is lol (algebra 1,2 or geometry). Please help and please tell...
Using mathematical induction, prove that for any integer n, with n≥1, n(n2-1)(n+2) is divisible by 4.
A company conducts a survey every spring to measure the morale of its employees. A group to be surveyed is randomly selected from all employees who have been with the company for exactly 5 years....
let T = {(x,y) ∈ R x R(real numbers) | y = √x / (√(x-3)) Let D = {y ∈ R, | (x,y) ∈ T for x ∈ R}. for each one, decide if true or false a) 1/4 ∈ D b) 4 ∈ D why...
There are 100 students majoring in engineering. There are three math classes offered to the engineering student's this semester: Calculus, Discrete Math, and Statistics. 28 students take...