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Discrete Mathematics
Show that a connected graph of diameter k and minimum degree d has at least about kd/3 vertices but need not have substantially more.
Discrete Mathematics
It was proven during the previous lecture that
1+2+3+....+n=[n(n+1)]/2.
Using that result, find the sum of all 3-digit palindromes: a palindrome is a number that can be written as ABA, where 1=<A<=9 and 0<=B<=9. Hint: decompose ABA = 100*A + 10*B + A and use above proven result.
1+2+3+....+n=[n(n+1)]/2.
Using that result, find the sum of all 3-digit palindromes: a palindrome is a number that can be written as ABA, where 1=<A<=9 and 0<=B<=9. Hint: decompose ABA = 100*A + 10*B + A and use above proven result.
Discrete Mathematics
If K is a constant, show that K(x-a) = o(x-a) [yes that is a "o" not a "0"] if and only if K=0.
Discrete Mathematics
Let a,b, c be integers. Prove that if a|b and a|(b+c) then a|c.
Discrete Mathematics
Use the sigma notation to indicate the sum of all odd integers from 3 through 7643 inclusive
Discrete Mathematics
The nine employes of the Ellington Dance Studio each earn $600 per week. A new employee is hired who earns $1500 per week.
Describe how the new employee's earnings will affect the mean and median earnings of Ellington Studio's employees. Use mathematics to support your answer
Describe how the new employee's earnings will affect the mean and median earnings of Ellington Studio's employees. Use mathematics to support your answer
Discrete Mathematics
how can you prove that the size of complement of K r,s graph is (r 2) + (s 2)
Discrete Mathematics
Determine the value of n and M to show that (x2 + 8)(x + 1) is big-O(xn). (Find the value of the exponent and also the value of M that proves the big-O relationship. You don’t need to worry about the value of k.)
Discrete Mathematics
exactely what is discrete math
Discrete Mathematics
If a < 1/2 and b < 1/2 then a + b < 1
Write the converse of this statement. Is the converse true?
Explain
Write the contrapositive of this statement. Is the contrapositive true?
Explain
Write the converse of this statement. Is the converse true?
Explain
Write the contrapositive of this statement. Is the contrapositive true?
Explain
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#339914 on Dec 2023
#339914 on Dec 2023