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An elementary treatment of the theory of spinning tops and - download pdf or read online

By Harold Crabtree

ISBN-10: 1933998954

ISBN-13: 9781933998954

The article of this booklet is to deliver in the diversity of the abler Mathematicians at our Public faculties and of First 12 months undergraduates on the Universities, a topic which has hitherto been thought of too tough for any however the extra complex scholars in arithmetic, whereas even they've got in lots of instances didn't derive extra excitement from the research of spinning tops than is contained in filing the matter to the motion of a classy piece of Mathematical equipment which immediately, even though unintelligently, seems the right kind end result.

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Extra info for An elementary treatment of the theory of spinning tops and gyroscopic motion

Example text

The only difference to training monolingual recognizers is the MWC itself. Multilingual Speech Interfaces for Resource-Constrained Dialogue Systems GE Speech 9 US Speech GE HMM GE HMM US HMM Training GE HMM GE HMM US Training HMM US HMM US HMM MWC Codebook Figure 3. Generation of the multilingual system at the example of a bilingual German/English system. The HMMs for both languages are trained as usual, the German ones with German speech, and the English ones with English speech. The only difference to a monolingual system is that a multilingual codebook is applied.

Multilingual Speech Interfaces for Resource-Constrained Dialogue Systems 21 100 90 WA 80 70 60 50 40 GE_City US_City IT_City FR_City 1424 1224 1124 1024 1424 1224 1124 1024 1424 1224 1124 1024 1424 1224 1124 1024 1424 1224 1124 1024 30 SP_City Codebook Size / Test Set German Codebook Baseline Benchmark Figure 11. Performance of the scalable architecture on native speech of different languages with German as main language. However, when the two algorithms are combined, and Gaussians are added before the projection is executed, the combined system outperforms the baseline system.

However, when the two algorithms are combined, and Gaussians are added before the projection is executed, the combined system outperforms the baseline system. This requires some additional resources at runtime for the additional Gaussians. However, a provision of the combined system requires less effort than a provision of the baseline system. The set of results that is missing in this figure are the results of the MWC with a standard retraining. It is quite certain that this would give better performance than the MWC performance shown, but only for the experiments in this figure the same effort as building 20 monolingual recognizers would need to be done.

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An elementary treatment of the theory of spinning tops and gyroscopic motion by Harold Crabtree


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