For any integer m and any real number x, if x is not an integer, then [x]+[m-x] = m-1.
For any integer m and any real number x, if x is not an integer, then [x]+[m-x] = m-1.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Can you please show me how to prove this using the floor definition and let n = |_ x _| (floor of x). Please be explicit about it too!
![For any integer
not an integer, then [x]+[m-x] = m- 1.
m and any real number x, if x is](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff137f04a-4416-4939-8c9c-91b42c58e82a%2Fd109bcdf-695e-4ecb-adca-4dbce19ff45e%2Fca7k5k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For any integer
not an integer, then [x]+[m-x] = m- 1.
m and any real number x, if x is
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