A balanced ternary string of length n is a function f : [n] → {-1,0, 1}. The weight of such a string is the sum f(1) + f(2) + + f(n). Show that the number of balanced ternary strings with weight 0 is 2k ak k k20 where ak = G) if 2k < n, and 0 otherwise.
A balanced ternary string of length n is a function f : [n] → {-1,0, 1}. The weight of such a string is the sum f(1) + f(2) + + f(n). Show that the number of balanced ternary strings with weight 0 is 2k ak k k20 where ak = G) if 2k < n, and 0 otherwise.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
![A balanced ternary string of length n is a function f: [n] → {-1,0, 1}. The weight of such a
string is the sum f(1) + f(2) + … + f(n). Show that the number of balanced ternary strings
with weight 0 is
2k
k20
where ak =
G) if 2k < n, and 0 otherwise.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F148796a3-5460-4a70-8f96-7f7264a4402a%2F2f21d984-4d5d-44f9-bc94-a08b1cf67a68%2F9qe0gr9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A balanced ternary string of length n is a function f: [n] → {-1,0, 1}. The weight of such a
string is the sum f(1) + f(2) + … + f(n). Show that the number of balanced ternary strings
with weight 0 is
2k
k20
where ak =
G) if 2k < n, and 0 otherwise.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning