Determining the asymptotic formula

Assignment Help Computer Engineering

Reference no: EM1320780

Provide an asymptotic formula for each of the following recurrence equations, utilizing big “Θ” rather than just big “O” for better results whenever possible. Show that the values for the next five values of T(n) in each case.

1) T(n) = 5T(n-5) + 1, T(1) = T(2) = T(3) = T(4) = 1.

2) T(n) = 3T(?n/4?) + 2n, T(0) = T(1) = 1.

3) T(n) = 4T(?n?/2) + 2 n2 , T(1) = 1.

4) T(n) = 1/n +T(n-1), T(1) = 1.

Reference no: EM1320780

Questions Cloud

Increases expected number of credits by regression equation : Regression equation Credits=15.4-.07. Select the correct statement. Increase in number of hours worked per week increases the expected number of credits.

Find the probability for the ride who will get a seat : Find the probability that everyone who appears for the ride will get a seat.

Interval of the estimation of true mean : If we wanted to shorten the interval of the estimation of the true mean of Saturday sales to a width of $600 in total, what should the size of our sample be to achieve it?

Assume the manager asks for volunteers postpone their tour : Assume the manager asks for volunteers to postpone their tour by offering increasing amounts of cash compensation until only four people want to see the caves that day.

Determining the asymptotic formula : Provide an asymptotic formula for each of the following recurrence equations, utilizing big “Θ” rather than just big “O” for better results whenever possible.

Protection to intellectual property : Compare and contrast the protection to intellectual property provided by trade secrets relative to that provided by patents.

Minimum price necessary for the company to supply : Illustrate what is the minimum price necessary for the company to supply one thousand cups.

Determining the i/o access speed : Determine the I/O access speed utilizing the CPU 3 and each of the hour disk drives as they evaluate the following track requests: 0, 31, 20, 15, 20, 31, 15.

Case study of masters corp : Masters Corp. has two bonds with 20-years remaining until maturity. Both bonds are unsecured and are callable at $1,050. Bond A was issued 20 years ago with a coupon rate of 6%. Bond B was issued 10 years ago with a coupon rate of 8%.

User Account

All Pages