Suppose that f (x) is O(g(x)) where f and g are increasing and unbounded functions. Show that

Question:

Suppose that f (x) is O(g(x)) where f and g are increasing and unbounded functions. Show that log |f (x)| is O(log |g(x)|).

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

Suppose that f (x, y, z) = g(x 2 + y 2 + z 2 ), where t is a function of one variable such that g(2) = -5. Evaluate S f(x, y, z) dS, where S is the sphere x 2 + y 2 + z 2 = 4.
Suppose that |f (x) | < g(x) for all x, where lim x a g(x) = 0. Find lim x a f(x).
Suppose that f (x), g(x), and h(x) are functions such that f (x) is O(g(x)) and g(x) is O(h(x)). Show that f (x) is O(h(x)).
The ultimate test of fluency in MS and IR is whether you can determine a moderately complex structure from just the MS and the IR, with no additional information. The IR and MS of a compound are...
Explain three principles in the design of inputs.
In the ideal transformer circuit shown in Fig. 13.133, determine the average power delivered to the load. 30+j12 1000 tums 120/0 Vms (- 200 turns 20-j40
Suppose at time 0 you have arranged to be paid at time $T$ the amount $\int_{0}^{T} S(t) \mathrm{d} t$, where $S(t)$ is the spot price at $t$ of a commodity that can be shorted and has zero...
A construction contractor is responsible for a project with seven key tasks. Some of the tasks can begin at any time, but others have predecessor tasks that must be completed previously. The...
So I'm new to arduino, and I am working on a project for school and I was wondering if I am correct in my wiring and coding. The premise of the project is an automatic pet feeder. Basically, a pet...
We scored our scale to reflect external locus of control. What does that tell us about internal locus of control? Could we have scored our scale to reflect internal locus of control instead?
Show that if f and g are real-valued functions such thatf (x) is O(g(x)), then for every positive integer n, f n(x) is O(gn(x)).
Let f1(x) and f2(x) be functions from the set of real numbers to the set of positive real numbers. Show that if f1(x) and f2(x) are both (g(x)), where g(x) is a function from the set of real numbers...
A few years ago a young chemist in Vienna, Austria, wanted to see just how permanent the gold was in his wedding band. The ring was 18-carat gold. (18-carat gold is 75% gold with the remainder copper...
Three different manuals were used to teach students how to type. Each manual was used by 1/3 of the students. The results show that 30 % of the students using manual A, 20 % of the students using...
Why is economics central to an understanding of the problems of development?
Regardless of your specific views about the SDGs, do you think it is better to have these goals (or perhaps even any goals) than not to specify international development goals? How, or why not?
How does the concept of capabilities to function help us gain insight into development goals and achievements? Is money enough? Why or why not?
It has been said that ending extreme poverty and achieving genuine development are possible but not inevitable and that this gives the study of economic development its moral and intellectual...
For the following exercises, determine the value of the annuity for the indicated monthly deposit amount, the number of deposits, and the interest rate. Write an explicit formula for a k such that...
On October 1, 2021, Adoll Company acquired 2,600 shares of its $1 par value stock for $38 per share and held these shares in treasury. On March 1, 2023, Adoll resold all the treasury shares for $34...
Let Y 1 , Y 2 , . . . , Y n be a random sample of size n from the pdf f Y (y; ) = y 1 , 0 y 1. Use Theorem 5.6.1 to show that W = is a sufficient statistic for . Is the maximum likelihood...
Suppose a random sample of size n is drawn from the pdf f Y (y; ) = e (y) , y (a) Show that = Y min is sufficient for the threshold parameter . (b) Show that Y max is not sufficient for .
Suppose a random sample of size n is drawn from the pdf f Y (y; ) = 1/ , 0 y Find a sufficient statistic for .
2 If tan 08, sin 0 <0, find the exact value of each of the following for 00 <2x (a) sin (20) 0 (b) cos (20) (c) sin 2 (d) cos 2 (a) sin (20)= (Type an exact answer, using radicals as needed.) (b) cos...
Suppose you invest 52%, 28%, and 20% of your wealth into a stock, the market, and a risk-free asset, respectively. The beta of the stock is 1.1. What is the beta of the portfolio?
An investment of $21745, earning compound interest, grows by $2278 in one year. At this rate of growth, how long will it take for the original investment to double?

Suppose that f (x) is O(g(x)) where f and g are increasing and unbounded functions. Show that

Question:

Step by Step Answer:

Since the functions are given to be increasing and u...View the full answer

Discrete Mathematics and Its Applications

Students also viewed these Statistics questions