Sasi NDA
2022-07-07

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asked 2020-11-09

Use proof by Contradiction to prove that the sum of an irrational number and a rational number is irrational.

asked 2021-08-02

Suppose that A is the set of sophomores at your school and B is the set of students in discrete mathematics at your school. Express each of these sets in terms of A and B.

a) the set of sophomores taking discrete mathematics in your school

b) the set of sophomores at your school who are not taking discrete mathematics

c) the set of students at your school who either are sophomores or are taking discrete mathematics

Use these symbols:$\cap \cup$

a) the set of sophomores taking discrete mathematics in your school

b) the set of sophomores at your school who are not taking discrete mathematics

c) the set of students at your school who either are sophomores or are taking discrete mathematics

Use these symbols:

asked 2021-08-18

Discrete Mathematics Basics

1) Determine whether the relation R on the set of all Web pages is reflexive, symmetric, antisymmetric, and/or transitive, where$(a,b)\in R$ if and only if

I) everyone who has visited Web page a has also visited Web page b.

II) there are no common links found on both Web page a and Web page b.

III) there is at least one common link on Web page a and Web page b.

1) Determine whether the relation R on the set of all Web pages is reflexive, symmetric, antisymmetric, and/or transitive, where

I) everyone who has visited Web page a has also visited Web page b.

II) there are no common links found on both Web page a and Web page b.

III) there is at least one common link on Web page a and Web page b.

asked 2021-08-15

How many elements are in the set
{ 0, { { 0 } }?

asked 2021-01-27

Two-digit numbers are formed, with replacement, form the digits 0 through 9.

How many two-digit even numbers are possible?

How many two-digit even numbers are possible?

asked 2022-07-15

When to use "$\to $" vs "$\Rightarrow $" in discrete math?

asked 2022-09-07

A tight bound for $T(n)={2}^{n}T(\frac{n}{2})+{n}^{n}$

Given recurrence

$$T(n)={2}^{n}T\left(\frac{n}{2}\right)+{n}^{n}$$

How we can show that $T(n)\le {n}^{n}$?

I show that $T(n)\ge {n}^{n}$ because of existence the term ${n}^{n}$ in T(n).

Given recurrence

$$T(n)={2}^{n}T\left(\frac{n}{2}\right)+{n}^{n}$$

How we can show that $T(n)\le {n}^{n}$?

I show that $T(n)\ge {n}^{n}$ because of existence the term ${n}^{n}$ in T(n).