Second Shift Theorem Homework: Why f(t-1) ≠ 0?

  • Thread starter Thread starter goldfish9776
  • Start date Start date
  • Tags Tags
    Shift Theorem
Click For Summary
The discussion centers on the question of why f(t-1) does not equal zero when f(t) is defined as 1 for all argument values. It is clarified that since the function f is constant at 1, the value of the argument does not affect the output. Therefore, f(t-1) remains equal to 1, not zero. The misunderstanding arises from incorrectly applying the function's definition to the argument. The conclusion emphasizes that f(t-1) is indeed equal to 1, consistent with the function's definition.
goldfish9776
Messages
310
Reaction score
1

Homework Statement


why the f(t-1) isn't = 1-1 = 0 ? since f(t) = 1 , a=1

Homework Equations

The Attempt at a Solution

 

Attachments

  • 0055.jpg
    0055.jpg
    31.5 KB · Views: 431
Physics news on Phys.org
The function is 1 for every argument value. It does not matter whether you call the argument t, t-1 or q.
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

Similar threads

Replies
2
Views
1K
  • · Replies 12 ·
Replies
12
Views
1K
  • · Replies 1 ·
Replies
1
Views
963
Replies
6
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
Replies
1
Views
2K
  • · Replies 105 ·
4
Replies
105
Views
6K
Replies
9
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K