### 计算机代写|量子计算代写Quantum computing代考|Novel Methods for the Synthesis

statistics-lab™ 为您的留学生涯保驾护航 在代写量子计算Quantum computing方面已经树立了自己的口碑, 保证靠谱, 高质且原创的统计Statistics代写服务。我们的专家在代写量子计算Quantum computing代写方面经验极为丰富，各种代写量子计算Quantum computing相关的作业也就用不着说。

• Statistical Inference 统计推断
• Statistical Computing 统计计算
• Advanced Probability Theory 高等概率论
• Advanced Mathematical Statistics 高等数理统计学
• (Generalized) Linear Models 广义线性模型
• Statistical Machine Learning 统计机器学习
• Longitudinal Data Analysis 纵向数据分析
• Foundations of Data Science 数据科学基础

## 计算机代写|量子计算代写Quantum computing代考|Multiple-Valued Logic Circuits Using

This Chapt. presents a new type of regular structures that will be used to produce regular reversible lattice structures in Chapt. $6 .$ With future logic realization in technologies that are scaled down rapidly in size, the emphasis will be increasingly on the mutually linked issues of regularity, predictable timing, high testability, and self-repair. For the current leading technologies with the activedevice count reaching the hundreds of millions, and most of the circuit areas occupied by local and global interconnects, the delay of interconnects is responsible for about $40-50 \%$ or more of the total delay associated with a circuit $[51,229]$. In future technologies, interconnects will take an even higher percent of area and delay which creates interest in cellular (regular) structures $[109,209]$, especially for nano technologies [109].

As it has been shown [229] that most of the circuit area is occupied by local and global interconnects, and the delay of interconnects is responsible for most of the total delay associated with a circuit, maintaining equal length of local inter-connects will minimize the total length of the used wires and consequently minimize the delay and power consumed. Also, it has been shown in [229] that the relative delay for global interconnects with or without repeaters over all process technologies are much larger than their counterparts of local interconnects. This suggests that using lengthy interconnects between the circuit elements will produce higher delays of the signal propagation throughout the interconnects and thus one wants to use shorter interconnects. This problem becomes even more serious for circuits that switch at very high speeds, where the power consumption increases with the increasing operation frequencies, and even the smallest capacitance or inductance that exists naturally within the wirings will be of extreme importance to maintain the electrical “signal integrity” as much as possible.

## 计算机代写|量子计算代写Quantum computing代考|Symmetry Indices

It is known in logic synthesis that certain classes of logic functions exhibit specific types of symmetries $[83,118,136,213,244]$. Such symmetries include symmetries between different functions under negation, symmetries within a logic function under the negation of its variables, and symmetries within a logic function under the permutation of its variables. Accordingly, the following is one possible classification of logic functions:
(1) P-Equivalence class: a family of identical functions obtained by the operation of permutation of variables.
(2) NP-Equivalence class: a family of identical functions obtained by the operations of negation or permutation of one or more variables.
(3) NPN-Equivalence class: a family of identical functions obtained by the operations of negation or permutation of one or more variables, and also negation of function (cf. Table G.1).
Example 4.1. The following represents symmetric function: $F=a b$ $\oplus \mathrm{bc} \oplus \mathrm{ac} .$

## 计算机代写|量子计算代写Quantum computing代考|Two-Dimensional Lattice Structures

The concept of lattice structures for switching functions involves three components: (1) expansion of a function, that corresponds to the initial node (root) in the lattice, which creates several successor nodes of the expanded node, (2) joining (collapsing) of several nodes of a decision tree’s level to a single node, which is the reverse operation of the expansion process, and (3) regular geometry to which the nodes are mapped that guides which nodes of the level are to be joined.

While the realization of non-symmetric functions in Akers arrays [1] requires an exponential growth of repetition of variables in the worst case, the realization of non-symmetric functions in lattice structures requires a linear growth of repetition of variables $[50,51]$, and consequently one need not to repeat the variables of non-symmetric functions many times to realize such functions in lattice structures for most practical benchmarks. It has been shown $[50,51]$ that one needs to repeat variables to realize benchmarks in lattice structures by $2.5$ times on average. Figure $4.4$ illustrates, as an example, the geometry of 4-neighbors and joining operations on the nodes where each cell has two inputs and two outputs (i.e., four neighbors). The construction of the lattice structure in Fig. $4.4$ implements the following one possible convention: top-to-bottom expansion and left-to-right joining (i.e., left-to-right propagation of the corresponding correction functions in Figs. $4.4 \mathrm{c}$ and $4.4 \mathrm{~d}$, respectively).

## 计算机代写|量子计算代写Quantum computing代考|Symmetry Indices

(1) P-等价类：通过变量的置换操作获得的相同函数族。
(2) NP-Equivalence 类：通过一个或多个变量的取反或置换操作获得的一组相同函数。
(3) NPN-Equivalence 类：通过一个或多个变量的求反或置换操作以及函数求反获得的一组相同函数（参见表 G.1）。

## 有限元方法代写

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## MATLAB代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。