Question: Using O notation, give the most precise and smallest estimate possible of the following functions: (a) f1(n) = 23 log2 n (b) f2(n) = 1

Using O notation, give the most precise and smallest estimate possible of the following functions:

(a) f1(n) = 23 log2 n

(b) f2(n) = 1 + 2 + 3 + + n + (n + 1) + (n + 2)

(c) f3(n) = 24 log2 (10)

(d) f4(n) = (n 3 + n log n)(n 2 + 4n + log(n 2 ))

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

In a Hopfield neural network configured as an associative memory, with all of its weights trained and fixed, what three possible behaviours may occur over time in configuration space as the net...

Q:

QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...

Q:

For monotone functions f, f0: P Q between posets (P, vP ) and (Q, vQ), let f v f(i) Prove that the binary relation v is a partial order. [3 marks] (ii) For monotone functions between posets p : P 0...

Q:

In this question you will be asked to reflect on a project you have been involved in or observed, in which a design evolved, or could have evolved, through applying a theory of user behaviour. You...

Q:

(iii) Now express your decision rule instead using only the quantities p(Ck), p(Cj ), p(x|Ck), p(x|Cj ), and relate it to the diagram above. [2 marks] (iv) If the classifier decision rule assigns...

Q:

Python and most Python libraries are free to download or use, though many users use Python through a paid service. Paid services help IT organizations manage the risks associated with the use of...

Q:

Consider the trigonometric series a0 2 + X r=1 (ar cos rx + br sin rx) where a0, a1, a2, . . . and b1, b2, . . . are constants and suppose that f(x) is a periodic function of x with period 2. (a)...

Q:

explicate the operation and gate level circuit of a multiplexer. How may it be used in conjunction with a demultiplexer to establish alternative connections across a unidirectional path between two...

Q:

Microkernel operating systems aim to address perceived modularity and reliability issues in traditional "monolithic" operating systems. (i) Describe the typical architecture of a microkernel...

Q:

Using "On the Spectrum of Hydrogen" by Niels Bohr -What is the main idea of the Author's argument? What is the main essence of the piece? -What ways does the author use to propose and support their...

Q:

Determine the maturity value of a loan of $1,750 for 28 months at 9.8% simple interest per year.?

Q:

Hutchins Company had 200,000 shares of common stock, 50,000 shares of convertible preferred stock, and $ 2,000,000 of 10% convertible bonds outstanding during the current year. The preferred stock...

Q:

4. What type of substance turns universal indicator purple?

Q:

HIE 10 10 Scoped Exercise 10-4A (Algo) Financial statement effects of an installment note LO 10-1 A partial amortization schedule for a 10-year note payable issued on January 1, Year 1, is shown next...