离散数学

离散数学(英語:Discrete mathematics)是数学的几个分支的总称,研究基于离散空间而不是连续的数学结构。 与連續变化的实数不同,离散数学的研究对象——例如整数、图和数学逻辑中的命题——不是連續变化的,而是拥有不等、分立的值。 因此离散数学不包含微积分和分析等「连续数学」的内容。 离散数学在计算领域有广泛的应用,例如密码学、编码理论、 形式方法, 语言理论, 可计算性, 人工智能, 理论 数据库和软件的可靠性。 离散数学的重点是理论和应用,而不是为了数学本身而研究数学。 一切算法的基础都是离散数学一切加密的理论基础都是离散数学 编程时候很多奇怪的小技巧(特别是所有和位计算相关的东西)核心也是离散数学 其他相关科目课程代写:组合学Combinatorics集合论Set Theory概率论Probability组合生物学Combinatorial Biology组合化学Combinatorial Chemistry组合数据分析Combinatorial Data Analysis my-assignmentexpert愿做同学们坚强的后盾,助同学们顺利完成学业,同学们如果在学业上遇到任何问题,请联系my-assignmentexpert™,我们随时为您服务!
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04 3 月: 数学代写代考| Business Applications of Matrices 离散数学

There are many applications of matrices in business and economics, and the field of linear programming often involves solving systems of linear equations. The organization structure of many organizations today is matrix orientated rather than the traditional functional structure with single managerial responsibility for a functional area in the organization. A matrix organization is one in which there is dual or multiple managerial accountability and responsibility, and there are generally two chains of command, with the first being along traditional functional lines and the second being along project or client Fig. 8.6.

That is, each person in a matrix organization is essentially reporting to two managers: their line manager for the functional area that they work in, and the project manager for the project that they are assigned to. The project is a temporary activity and so this reporting line ceases on project closure, whereas the functional line is more permanent (subject to the regular changes following company reorganizations as part of continuous improvement).

Another application of matrices in business is that of a decision matrix that allows an organization to make decisions objectively based on criteria. For example, the tool evaluation matrix in Table $8.1$ lists all of the requirements vertically that the tool is to satisfy, and the candidate tools that are to be evaluated and rated against each requirement are listed horizontally. Various rating schemes may be employed, and a simple numeric mechanism is employed in the example. The tool evaluation criteria are used to rate the effectiveness of each candidate tool, and
8.7 Business Applications of Matrices
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\begin{tabular}{|l|l|l|l|l|l|l|}
\hline Table 8.1 Tool evaluation & & Tool 1 & Tool 2 & $\ldots$ & Tool $k$ \
\hline matrix & Requirement 1 & 8 & 7 & 9 \
\hline Requirement 2 & 4 & 6 & 8 \
\hline$\ldots$ & $\ldots$ & & & \
\hline & Requirement $n$ & 3 & 6 & & 8 \
\hline Total & 35 & 38 & $\ldots$ & 45 \
\hline
\end{tabular}
indicate the extent to which the tool satisfies the defined requirements. The chosen tool in this example is Tool $k$ as it is the most highly rated of the evaluated tools.
There are many applications of matrices in the computing field including in cryptography, coding theory and graph theory. For more detailed information on matrix theory see [2].、