Express the following statments using quantifiers.

  • Thread starter Thread starter ayham123
  • Start date Start date
ayham123
Messages
2
Reaction score
0

Homework Statement


Express the following statements using { not, implies, or , and} and quantifiers over natural numbers n, we can only use {+,-,x,>,=} as primitive operations and relations over n.


Homework Equations



a) even number n is a sum of four perfect squares?
b) every number n greater than 2 is not dividsible by n -1 ?

The Attempt at a Solution

 
Physics news on Phys.org
Did you not read the rules for this forum? You must show your own work, not just ask others to do the problems for you.
 
i don't know how to solve it! that's why I am asking, i am completely lost
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
View full post »

Similar threads

Root test proof using Law of Algebra
Replies
6
Views
1K
Expressing the existence of irrational numbers
Replies
7
Views
1K
Writing symbolically, and negating
Replies
2
Views
2K
Calculating area using sigma notation
Replies
8
Views
2K
Universal and Existential Qualifiers
Replies
2
Views
2K
Prove ##|\{ q\in\mathbb{Q}: q>0 \} |=|\mathbb{N}|##.
Replies
3
Views
2K
Proving the Existence of a Number with n Divisors
Replies
18
Views
2K
Proving Negative Infinity Divergence of (5-n^2)/(3n+1)
Replies
10
Views
2K
Proving that a recurrence holds for all n
Replies
11
Views
2K
Test the following series for convergence or divergence
Replies
7
Views
2K

Hot Threads

Recent Insights

Back
Top