1. The weight-based rule, the product rule and the model-based rule is established to present the knowledge.

2. The product rule is very simple and easy to implement, and it doesn't increase additional delay.

3. So, product rule is OK for taking the derivative of a dot product.

4. It can be known that using PR(product rule) method combining with FS(frame structure) method can make knowledge expression more convenient and practical.

5. Leading zeros anticipatory logic is implemented based on a set of unified product rule, which can diminish the potential one bit error of original ones.

6. You can get this either by implicit differentiation and the product rule, or you could get this just by putting here, here,and here the partial derivatives of this with respect to x, y, and z.

7. Well, then, dA, so we had to use the product rule carefully, or we use the partials.

8. OK, now, so there's an interesting thing to note, which is that we can use the usual product rule for derivatives with vector expressions, with dot products or cross products.

9. In the thesis, syntax knowledge and grammar rules are abstracted from the modern Chinese grammar library, and the knowledge express method by product rule is anal sized systematically.