Question
The Laplace transform of a dynamical system’s response to this type of signal is its transfer function. For 10 points each:
[10m] Name this type of signal that shares its name with a quantity that equals the time integral of force and the change in momentum.
ANSWER: impulse [prompt on J; reject “impulse response”]
[10h] The output of a linear time-invariant system equals this operation on the input and its impulse response. This operation’s namesake theorem generalizes the fact that applying it in the time domain is equivalent to multiplication in the frequency domain.
ANSWER: convolution [accept word forms, like convolving]
[10e] The impulse response is the system’s response to an input of a “function” named for this Greek letter that generally denotes change.
ANSWER: delta [or delta function; or Dirac delta; accept lowercase delta or uppercase delta]
<Benjamin Chapman, Science - Engineering and Miscellaneous> ~22157~ <Editor: David Bass>
Data
| Team | Opponent | Part 1 | Part 2 | Part 3 | Total |
|---|---|---|---|---|---|
| Hastings | St. Mark's | 10 | 10 | 10 | 30 |
| Heights | Hoover A | 0 | 0 | 10 | 10 |
| Winston Churchill A | Innovation Academy A | 10 | 0 | 10 | 20 |
Summary
| Tournament | Edition | Exact Match? | Heard | PPB | Easy % | Medium % | Hard % |
|---|---|---|---|---|---|---|---|
| 2024 PACE NSC | 06/08/2024 | Y | 3 | 20.00 | 100% | 67% | 33% |