This research proposes a discrete cosine transform (DCT) based approach for automated inspection of small surface defects on capacitor chips. A spatial domain image is transformed into the DCT frequency domain. From the energy concentration analysis of the DCT domain, we can disassembly the frequency matrix into four disassembled matrices. We select the proper number of larger frequency values ...

We demonstrate theoretically that one can obtain repulsive Casimir forces and stable nanolevitations by using chiral metamaterials. By extending the Lifshitz theory to treat chiral metamaterials, we find that a repulsive force and a minimum of the interaction energy possibly exist for strong chirality, under realistic frequency dependencies and correct limiting values (for zero and infinite fre...

Pearson’s rank correlation coefficient (r) between the vectors of counts and residual values over all tuples was found to be very close to zero (−0.035). Kendall rank correlation coefficient τ between the ranked lists when (w, q) tuples are ordered by frequency and residual value, was found to be −4.65 × 10−9 . This indicates almost no correlation between counts and residuals. Problem Statement