历史查询 | | |
|
|
|
 |
|
 | 为了更好的帮助您理解掌握查询词或其译词在地道英语中的实际用法,我们为您准备了出自英文原文的大量英语例句,供您参考。 |
For these polynomials we prove an integral representation, a combinatorial formula, Pieri rules, Cauchy identity, and we also show that they do not satisfy any rationalq-difference equation.
|
|
The Yang-Baxter equation admits two classes of elliptic solutions, the vertex type and the face type.
|
|
The inverse conductivity problem to the the elliptic equation ${\rm div}((1+(k-1)\chi_D)\nabla u)=0\ {\rm in }\ \Omega$ is considered.
|
|
As applications, the wave equation on?+ × ?+ and the heat equation in a semi-infinite rod are considered in detail.
|
|
Pointwise fourier inversion: A wave equation approach
|
| 更多 |
For these polynomials we prove an integral representation, a combinatorial formula, Pieri rules, Cauchy identity, and we also show that they do not satisfy any rationalq-difference equation.
|
|
The Yang-Baxter equation admits two classes of elliptic solutions, the vertex type and the face type.
|
|
The inverse conductivity problem to the the elliptic equation ${\rm div}((1+(k-1)\chi_D)\nabla u)=0\ {\rm in }\ \Omega$ is considered.
|
|
As applications, the wave equation on?+ × ?+ and the heat equation in a semi-infinite rod are considered in detail.
|
|
Pointwise fourier inversion: A wave equation approach
|
| 更多 |
|
|

| In this paper, an initial study of learning from examples is made. After the rule-space of solutions is enlarged from normal formula solutions to all general formula solutions, the following conclusions are got:1. Discussing the change of corresponding rules set, with the change of examples set. 2. There are no solutions when positive-examples set intersets negative-examples set. 3. If the union of positive-examples set and negative-examples set equals to the space which consists of all examples, the rule-solution... In this paper, an initial study of learning from examples is made. After the rule-space of solutions is enlarged from normal formula solutions to all general formula solutions, the following conclusions are got:1. Discussing the change of corresponding rules set, with the change of examples set. 2. There are no solutions when positive-examples set intersets negative-examples set. 3. If the union of positive-examples set and negative-examples set equals to the space which consists of all examples, the rule-solution is unique. 4. If the solutions exist, there must be two basic solutions, and these two solutions are maximum and minimum, under the relation of partial-order "(?)". 5. The rule set for the operate V, A forms a bounded distributive lattice, and the two basic solutions are the upper bound and the lower bound of this lattice respectively. 6. GS theorem corresponding to GS algorithm is given. | 本文对示例或学习的理论进行了初步的研究。首先,扩充了解的规则空间,由范式解扩充到任意公式解。然后,得到了如下结果:(1)讨论了随着例子集合的变化,相应规则解集合的变化情况;(2)正例集与反例集相交时,规则解不存在;(3)若正例集与反例集之并等于全部例子构成的空间,则规则解唯一;(4)在有解情况下,必然存在两个基础解,在半序关系“”下,这两个解分别为最小元,最大元。(5)规则集合关于运算∧,∨作成一个有界分配格。两个基础解是此格的上,下界。(6)对应于GS算法的GS定理。 |   |
相关查询 | |
|
|
|