Tnn, where (a] means z rounded down. What is T(5 - 10°, 10 - 10°)? T(n,m) 3. Let 7(m, n) Enter answer here

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. Let T(m, n) =
where a means a rounded down. What is T(5 · 10°, 10 - 10°)?
T(n,m)
%3D
Enter answer here
4. We call a function f : A B almost injective if for every be B the number of elements a with f(a) = b is at
most two. Let M (n) be the number of almost injective monotone functions from [n] to [n]. What is M (5)?
Enter answer here
5. A function {0,...,n} → Z is a walk function if consecutive values differ by exactly 1, i.e., f(i) - f(i - 1)| = 1
for all 1 = 1,..., n. How many walk functions are there from {0,...,6} to Z with f(0) = f(6) = 0?
Enter answer here
Transcribed Image Text:3. Let T(m, n) = where a means a rounded down. What is T(5 · 10°, 10 - 10°)? T(n,m) %3D Enter answer here 4. We call a function f : A B almost injective if for every be B the number of elements a with f(a) = b is at most two. Let M (n) be the number of almost injective monotone functions from [n] to [n]. What is M (5)? Enter answer here 5. A function {0,...,n} → Z is a walk function if consecutive values differ by exactly 1, i.e., f(i) - f(i - 1)| = 1 for all 1 = 1,..., n. How many walk functions are there from {0,...,6} to Z with f(0) = f(6) = 0? Enter answer here
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