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Can be started in every clock cycle.

管道线的优点是,尽管完成一个加法花费 5 个周期,但是在每个时钟周期都可以开始一个新的加法

Geometric Constraint Solving with Conics;2. By comparison, we conclude that the operations on conics are more efficien than those on elliptic curves is concluded.

文中介绍了有限域上的圆锥曲线的点群结构及加法运算,给出了三种不同的方法计算加法,并进一步比较了他们在数乘运算中的效率。

Since the multiple scattering should be considered, the scattering problem of many-cylinders is more complicated than single cylinder. By using scattering matrix method to solve the scattering problem of many-cylinders, first we have to express the incident fieldand scattered field by special function(for example, Bessel function and Hankel function)under cylindrical coordinate, then use the addition theorem of special function to get a linear system of equations to relate the incident field coefficients and scattered field coefficients. The incident and scattered field coefficients for every cylinder can be solved from the linear equations by matching electromagnetic boundary condition pointwisely.

单颗圆柱散射体的散射场解析解很早就被解出,而多个圆柱阵列的散射场问题因为涉及到入射光在圆柱与圆柱间的多重散射,故散射行为较单颗圆柱的散射复杂,因此圆柱阵列的多重散射问题需要利用加法定理来处理;散射矩阵法的主要精神即是先用圆柱座标下的特殊函数对平面波和圆柱散射体的内外域电磁场做无穷级数展开,再藉由特殊函数的加法定理将所有圆柱散射体的展开中心移到同一个展开中心,最后可以得到一组连结整个散射系统的入射电磁场系数及散射电磁场系数的线性方程组,将该组线性方程配合电磁场在散射体边界的连续条件,便可分别求出圆柱阵列中各个圆柱体的内部电磁场与外部散射场,再利用线性叠加原理即可求得整个圆柱系统的全域电磁场分布。

The modification was nearly negligible in which the full adder cells are substituted by cells termed modified full adder and such design has not any additional critical paths inside the adders.

该设计改动微乎其微,通过将原有加法单元替换为一种改进的加法单元,对加法器原有关键通路无任何额外的时延影响。

The algorithms of basic operations for large integer,addition,subtraction and comparison,are presented based on mixed radix representation,the algorithms of multiplication,division, modulo ,and greatest common divisor are conveyed from addition machins.

将大数采用混合基表示,对大数的加法、减法与比较运算给出相应的算法,并对加法机器上的乘法、除法、模运算以及求最大公因子的算法进行了移

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。

The algorithm combines the recognition technique of different coding methods in multiplier, the extraction technique of half adder graph in addition circuit, and the recognition technique of half adder tree structure of partial product addition circuit. With the extracted information, the register transfer level synthesis engine can generate a gate netlist that is logically correct and structurally similar to the implementation.

该算法结合了乘法器的编码方式识别技术、加法电路的半加树提取技术和部分积加法电路的架构识别技术来提取乘法电路的实现结构,以此生成与实现电路结构相似且逻辑正确的网表。

This paper characterizes all additive maps from Hermitian matrix space H_n to full matrix space M_n preserving inverses of matrices. It is shown that every additive map f:H_n→M_n preserving inverses of matrices is of the form f=eP~(-1)X~σP for all ?

本文刻画了所有从Hermite矩阵空间H_n到全矩阵空间M_n的保逆加法映射,证明了每一个保逆的加法映射f:H_n→M_n是f= eP~(-1)X~σP或者f= eP~(-1)~σP这种形式,?

"A set of elements having two operations, designated addition and multiplication , satisfying the conditions that multiplication is distributive over addition and that both operations are associative and commutative for all elements of the set, with the exception of the additive identity element, which is not commutative in respect to multiplication ."

"一组元素,进行加法和乘法两种运算,满足条件:乘法运算需分配于加法之中,这组元素要将这两种运算结合且换进行,附加的就乘法而言不可交换的恒等元素除外。"

Based on the foregoing strategy, we choose Inverse Modified Discrete Cosine Transform and Polyphase Synthesis Filterband of the MP3 decoder by an ASIC implementation. Moreover, to further reduce the hardware cost, we use CORDIC-based calculations and merging some arithmetic operations to replace the original ones of IMDCT and PSF.

基於前述的原则及由运算量的统计分析,我们选定「反转修正式离散余弦转换(Inverse Modified Discrete Cosine Transform, IMDCT)」与「多相位合成滤波频带(Polyphase Synthesis Filterband, PSF)」使用ASIC方式实现,同时为了有效降低这两个模组的硬体成本,我们导入「座标轴旋转数位计算机」及合并运算方式取代原始算术运算,使得新的计算式有效降低原IMDCT约74%之乘法及约49%加法运算,而在多相位合成滤波频带的反离散余弦转换也有降低约33.4%之乘法及约24.6%之加法运算。

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