Question
Subtracting two adjacent indicator functions results in a rough example of these functions named for Haar. For 10 points each:
[10m] Name these functions often constructed through a multiresolution analysis. Stéphane Mallat and Yves Meyer popularized the study of these functions and their associated transforms.
ANSWER: wavelets [accept mother wavelets or father wavelets or Haar wavelets or wavelet transforms; reject “waves”]
[10h] Haar wavelets are the 2-tap case of a family of wavelets named for this Belgian mathematician. This “godmother of the digital image” delivered a foundational Ten Lectures on Wavelets.
ANSWER: Ingrid Daubechies (“doh-buh-SHEE”)
[10e] The Daubechies wavelets are compactly supported and satisfy this property, meaning that the product of any pair of wavelets has vanishing integral. In general, two vectors have this property if their inner product is zero.
ANSWER: orthogonality [or perpendicularity or normality; accept orthonormality]
<JC, Other Science (Math)>
Summary
| 2024 Chicago Open | 07/28/2024 | Y | 1 | 10.00 | 100% | 0% | 0% |
Data
| LMM's LLM MLM | BHSU B | 0 | 0 | 10 | 10 |