Show that if c > d > 0, then nd is O(nc), but nc is not O(nd).

Question:

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Discrete Mathematics and Its Applications

ISBN: 978-0073383095

7th edition

Authors: Kenneth H. Rosen

See More Books

Question Posted: May 02, 2016 12:20 PM

See More Questions

Let H V Rn, with H convex and V open, and suppose that : V Rn is C1. a) Show that if E is a closed subset of H and then h(x)/||h|| 0 uniformly on E, as h 0. b) Show that if R is a closed...
Let E be a set in Rm. For each u: E R which has second-order partial derivatives on E, Laplace's equation is defined by a) Show that if u is C2 on E, then Îu = (u) on E. b) Show that if E R3...
Let f : R R be defined by setting f(x) := x if x is rational, and f(x) = 0 if x is irrational. (a) Show that f has a limit at x = 0. (b) Use a sequential argument to show that if c 0, then f does...
Which of the following pairs of steps in the programming process is in the correct order? a. Code the program, plan the logic b. Test the program, translate it into machine language c. Put the...
How can you prevent mistakes?
Find the transfer function Vo /Vs of the circuit in Fig. 14.86. Show that the circuit is a lowpass filter. Figure 14.86 1 H 0.25 S2 IF vo
A stock price is governed by \[\frac{\mathrm{d} S}{S}=\mu \mathrm{d} t+\sigma \mathrm{d} z\] where $z$ is a standardized Wiener process. Interest is constant at rate $r$. An investor wishes to...
The trial balance of Ogilvys Boutique at December 31 shows Inventory $21,000, Sales Revenue $156,000, Sales Returns and Allowances $4,000, Sales Discounts $3,000, Cost of Goods Sold $92,400, Interest...
Stock A has an expected return of 12% and a beta of 2,1. Stock B has an expected return of 6% and a beta of 1. What must be the expected return on a risk-free asset?
Sayaka Tar and Gravel Ltd. operates a road construction business. In its first year of operations, the company obtained a contract to construct a road for the municipality of Cochrane West, and it is...
Show that is O(xy). Ley
Show that if d is positive and b > 1, then nd is O(bn) but bn is not O(nd).
Refer to Exercise 13.67. When unemployment rate of a country is added as an additional predictor to the model already containing CO2 and percentage of population not using the Internet, we get the...
A local factory has two shifts: day shift and night shift. The day shift produces 2/3 of the total product. Of the day shift product, 1 % are defective. Of the night shift product, 2 % are defective....
A baseball player has a lifetime batting average of .3. During a game, he has 5 at bats. A student of statistics argues that his chance of going 5 for 5 is (.3) 5 . Do you agree? What assumption does...
In which of the following sets are the two events independent? In which are they mutually exclusive? In which are they neither? (a) The Detroit Pistons win the NBA champion ship and the Oakland As...
Suppose that P(E 1 ) = 0.3 and P(E 2 ) = 0.4. Obtain and P(E UE), PE E),
Consider growth diagnostics. Constraint categories are the boxes from which no further arrows emanate. Can you think of a fundamental constraint not included in the ten end boxes? (That is, an...
For the following exercises, use the information provided to graph the first five terms of the geometric sequence. Find the 5 th term of the geometric sequence {b, 4b, 16b, ...}.
A company pledges their receivables so they may Multiple Choice Charge a factoring fee. Increase sales. Recognize a sale. Collect a pledge fee. Borrow money. Failure by a promissory notes' maker to...
Commercial fishermen working certain parts of the Atlantic Ocean sometimes find their efforts hindered by the presence of whales. Ideally, they would like to scare away the whales without frightening...
Efforts to find a genetic explanation for why certain people are right-handed and others left-handed have been largely unsuccessful. Reliable data are difficult to find because of environmental...
Defeated in his most recent attempt to win a congressional seat because of a sizeable gender gap, a politician has spent the last two years speaking out in favor of women's rights issues. A newly...
What is one way in which a leader can apply the "Status" part of the SCARF model to trigger the "Reward" response?
Complete the table to assess risks and develop contingencies for resources you are planning for. Potential risks Planned Response Risk associated with the acquisition or implementation of the...
Assignment: persuasive essay for or against Andrew Jackson. In you essay answer the question "Was he a "people's president" or was he more like a king?" Documentary:...

Show that if c > d > 0, then nd is O(nc), but nc is not O(nd).

Question:

Step by Step Answer:

Because d c clearly n d n c for all n 2 2 therefor...View the full answer

Discrete Mathematics and Its Applications

Students also viewed these Statistics questions