Hw4 - Solutions

Math4406 Hw4

Dynamic Programming for NLP

The strategy of dynamic programming reduces the complexity of a search problem which decomposes into frequently-reused instances of the same problem. You encountered dynamic programming for n-gram segmentation in HW4. We have also discussed two more dynamic programming algorithms in lecture: Viterbi and forward-backward. For HW5, you will need to implement the Viterbi algorithm. The forward-bac...

Genetic and Cytological Analysis of a Novel Type of Low Temperature-Dependent Intrasubspecific Hybrid Weakness in Rice

Hybrid weakness (HW) is an important postzygotic isolation which occurs in both intra- and inter-specific crosses. In this study, we described a novel low temperature-dependent intrasubspecific hybrid weakness in the F1 plants derived from the cross between two indica rice varieties Taifeng A and V1134. HW plants showed growth retardation, reduced panicle number and pale green leaves with chlor...

Comparison of Solid and Perforated Hybrid Precast Concrete Shear Walls for Seismic Regions

This paper compares the measured lateral load behaviors of two 0.4-scale “hybrid” precast concrete wall test specimens – one wall with solid panels and the other with perforated panels. The test specimens have the same overall geometry and utilize a combination of mild [i.e., Grade 400 (U.S. Grade 60)] steel and high-strength unbonded post-tensioning (PT) steel for lateral resistance across hor...

Explicit multiple singular periodic solutions and singular soliton solutions to KdV equation

 Based on some stationary periodic solutions and stationary soliton solutions, one studies the general solution for the relative lax system, and a number of exact solutions to the Korteweg-de Vries (KdV) equation are first constructed by the known Darboux transformation, these solutions include double and triple singular periodic solutions as well as singular soliton solutions whose amplitude d...