运算表达式

Operator priority relations and the realization of the four arithmetic operations mixed expression value.

利用算符优先关系，实现对算术四则混合运算表达式求值。

A logical expression of the form a1︿a2︿…︿an where︿is the AND operation. A particular conjunction of interest is the conjunctive normal form of a Boolean expression involvingn variables x1, x2,…,xn.

一种逻辑表达式a1︿a2︿…︿an，其中︿是AND运算，一个特别重要的合取运算是涉及n个变量x1，x2，…，xn的布尔表达式的"合取范式"。

A particular conjunction of interest is the conjunctive normal form of a Boolean expression involvingn variables x1, x2,…,xn.

一种逻辑表达式a1∧a2∧…∧an，其中∧是AND运算，一个特别重要的合取运算是涉及n个变量x1，x2，…，xn的布尔表达式的"合取范式"。

Analysis for testability is widely used in DFT and test pattern generation, but most testability analysis algorithms have the shortcoming of either inaccuracy or being too complicated. A new method to calculate the signal probabilities of the nodes in IC is pre-sented in Chapter 7 of this dissertation. The signal probabilities by our method is more exact than by the previous ones. A symbol of the signal probability at the fan-out node is created and is propagated to the RFON (Reconvergent Fan-out Nodes). At the RFON, the expression containing the symbol is simplified using the rule which corresponds to the law of identity in Boolean algebra. After the expression is simplified, the symbol is substituted with its numeric value. Theoretical analysis shows that this method is concise and has a low computing complexity.

可测试性分析在可测试性设计和测试生成中都有着广泛的应用，然而大部分的可测性分析方法都存在不精确或者过于复杂的毛病，在第七章中作者提出了一种新的计算IC电路节点的信号概率值的符号算法，该算法得出的信号概率值比用以往的算法法得出的要更准确，也更简洁，针对电路中的扇出节点重汇聚现象，我们在每一个扇出节点定义了一个信号概率的符号，在以后的计算中一直使用该符号参与计算，直到该符号传播至重汇聚处，利用一定的规则把含符号的表达式化简，再将符号的真实值代入，在计算符号概率的过程中定义了一个和布尔代数中的同一律相对应的运算规则，通过该运算规则，使得信号概率的结果更加准确，符号算法具有简洁方便，计算复杂度小的特点 4。

Experiments on multiplier tree and adder tree expressions exhibit running time reduction of 83% to 99%, and 40% to 80% respectively.4. Arithmetic unit check with half adder graph technique: Binary Moment Diagram technique has been used in multiplier equivalence checking.

比如针对加法和乘法连续运算的表达式，算法从实现电路中提取变量顺序和结合顺序并加以利用，实验表明，在验证乘法连续运算的表达式时减少了83%～99%的时间，加法连续运算表达式的验证时间也可减少40%～89%。4。

Rational use of the stack, in accordance with the teaching of computing priority, Programming arbitrary infix arithmetic expression evaluation operations.

详细说明：合理运用栈，按照教材中的运算优先级，编程实现任意中缀算术表达式的求值运算。

To the moduli with special forms (such as Mersenne numbers, pseudo-Mersenne numbers, generalized Mersenne numbers), we analysis and study modular arithmetic laws, and obtain the conclusions as follows: for Mersenne numbers and pseudo-Mersenne numbers, we get modular arithmetic formulas, and determine exact expressions of the number of modular addition to generalized Mersenne numbers generated by irreducible monic trinomials and pentanomials.

针对具有特殊形式的模数(如Mersenne数，伪Mersenne数，广义Mersenne数等)，深入分析了其取模运算规律，得到如下结果：对Mersenne数和伪Mersenne数，给出了取模运算转换为模加或模减运算的公式；对模数为任意首一三项式和五项式产生的广义Mersenne数，推导了相应取模运算的复杂度计算解析表达式。

For preparing for the researches of text digital watermarking and advantaging other researchers" development when using the Chinese mathematical expression theory, this paper designs and realizes a development platform of Chinese mathematical expression. It has been proved by experiments that the platform"s function, execution speed and stability can satisfy the requirements of conversion and operation of enormous data.This research found out that the structure information of Chinese have plenty redundant information that can be used by the Chinese mathematical expression for the digital watermarking, the data embedded can possess better robustness. Based on this finding, this paper designs a kind of text digital watermarking method of embedding watermarking by using Chinese structure, and realizes the method by using the Chinese mathematical expression platform.Considering the watermarking embedding algorithms importance to the robustness of the text digital watermarking, this paper makes fully use of the advantage of the Chinese mathematical expression theory to design a kind of layered text method, which has being realized by using the Chinese mathematical expression platform. The layered text method can handle the text as a solid structure, and the embedding data havepreferable robustness.Finally, based on the researches of the text digital watermarking method and the text layered method, this paper integrates the method of making use of the Chinese structure embedding watermarking with the robust algorithm based on text layered, and realizes a brand-new text digital watermarking method. Proved by lots of experiments, this brand-new method has good robustness and better invisibility.

为了为研究工作做准备和方便其他使用汉字数学表达式理论体系的人进行开发，本文基于汉字数学表达式理论设计实现了一个汉字数学表达式平台，实现了Unicode汉字集中的汉字、汉字数学表达式、汉字的Unicode码之间的相互转化、依据汉字数学表达式提取汉字的结构信息、由汉字数学表达式在非中文平台上不依赖字库显示汉字的图像等功能，使用复合文档技术和流压缩技术进行数据的存储，使用对汉字数学表达式进行二叉树拆分来处理汉字数学表达式中包含的信息，使用自定义哈希函数来提高运行速度，实验证明，该平台功能、速度和稳定性完全能满足大量数据的转化和运算要求；通过研究表明汉字的结构信息中存在大量可使用汉字数学表达式理论加以利用的水印加载空间，加载在该空间的数据可以具有较好的鲁棒性，基于此，本文设计了一种利用汉字结构加载水印的文本数字水印方法，并使用汉字数学表达式平台将其实现；由于水印嵌入算法对于文本数字水印的鲁棒性至关重要，本文充分利用汉字数学表达式理论的优点，设计了一种文本分层的方法，并使用汉字数学表达式平台将其实现，使文本成为一个立体的空间，使嵌入在其中的数据具有更好的鲁棒性；最后在基于汉字数学表达式的文本数字水印嵌入方法的研究和基于汉字数学表达式的文本分层方法的研究的基础上，结合利用汉字结构嵌入水印的方法和基于文本分层的抗攻击文本水印嵌入算法实现了一种全新的文本数字水印方法，经实验证明，该方法有良好的鲁棒性和较好的隐蔽性。

A logical expression of the form a1︿a2︿…︿an where︿is the AND operation. A particular conjunction of interest is the conjunctive normal form of a Boolean expression involvingn variables x1, x2,…,xn.

一种逻辑表达式a1︿a2︿…︿an，其中︿是AND运算，一个特别重要的合取运算是涉及n个变量x1，x2，…，xn的布尔表达式的&合取范式&。

A particular conjunction of interest is the conjunctive normal form of a Boolean expression involvingn variables x1, x2,…,xn.

一种逻辑表达式a1∧a2∧…∧an，其中∧是AND运算，一个特别重要的合取运算是涉及n个变量x1，x2，…，xn的布尔表达式的&合取范式&。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了