Examples of complex analysis in the following topics:
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- The phase of the complex impedance is the phase shift by which the current is ahead of the voltage.
- Letting the voltage be a complex exponential we have $i = j \omega CV e^{j \omega t}$.
- The amplitude of this complex exponential is $I = j \omega CV$.
- This quantity is known as the element's (complex) impedance.
- The (real value) impedance is the real part of the complex impedance Z.
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- Coordination complexes and their chemistry can be used to analyze the composition of a solution by precipitation or colorimetric analysis.
- Coordination complexes can be used to analyze chemical composition in a variety of ways.
- Two common techniques are precipitation analysis and colorimetric analysis.
- These methods are called classical qualitative inorganic analysis.
- Those that form insoluble hydroxide complexes, such as iron, aluminum, and chromium.
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- Factor analysis provides an alternative method to SVD to the same goals: identifying underlying dimensions of the joint space of actor-by-event variance, and locating or scaling actors and events in that space.
- The method used by factor analysis to identify the dimensions differs from SVD.
- Figure 17.10 shows the eigenvalues (by principle components) calculated by Tools>2-Mode Scaling>Factor Analysis.
- This solution, although different from SVD, also suggests considerable dimensional complexity in the joint variance of actors and events.
- The factor analysis method does produce somewhat lower complexity than SVD.
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- Most of tools of social network analysis deal with structures defined by patterns in a single kind of relationship among actors: friendship, kinship, economic exchange, warfare, etc.
- Social relations among actors, however, are usually more complex, in that actors are connected in multiple ways simultaneously.
- In this chapter we will look at some of the tools that social network analysts have used grapple with the complexity of analyzing simultaneous multiple relations among actors.
- To be useful in analysis, however, the information about multiple relations among a set of actors must somehow be represented in summary form.
- We won't actually explore the complexities of role algebra analysis, but we will provide a brief introduction to this way of approaching multi-relational complexity.
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- This book began as a set of reading notes as Hanneman sought to teach himself the basics of social network analysis.
- It then became a set of lecture notes for students in his undergraduate course in social network analysis.
- The book may also be suitable as course-support for undergraduate or introductory graduate training in social network analysis.
- Social network analysis is a continuously and rapidly evolving field, and is one branch of the broader study of networks and complex systems.
- The concepts and techniques of social network analysis are informed by, and inform the evolution of these broader fields.
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- A model is simply a framework that is designed to show complex economic processes.
- A model is simply a framework that is designed to show complex economic processes.
- In most cases, economic models use mathematical or quantitative analysis.
- Some economic models also use qualitative analysis.
- However, this kind of analysis is known for lacking precision.
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- It recognizes that strategic planning is dynamic; that is, strategy-making involves a complex pattern of actions and reactions.
- Competitor analysis is an essential component of corporate strategy.
- It is argued that most firms do not conduct this type of analysis systematically enough.
- Competitor analysis requires the specific selection of key success factors within an industry.
- Through this competitive analysis, Ralph Lauren can improve its competition.
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- Complexity theory postulates that organizations must adapt to uncertainty in their environments.
- The complexity theory treats organizations and firms as collections of strategies and structures that interact to achieve the highest efficiency within a given environment.
- A SWOT analysis enables a company to identify the ideal structure to maximize its internal strengths while capturing external opportunities and avoiding threats.
- Porter's five-forces analysis: This analysis identifies factors of the industry's competitive environment that may substantially influence a company's strategic design.
- Identify the inherent complexities in the external environment that influence the design of an organization's structure
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- We hope that you've found this introduction to the concepts and methods of social network analysis to be of both interest and utility.
- Social network analysis is also increasingly connected to the broader field of network analysis.
- There are a number of other excellent software tools available for network analysis and visualization.
- We've not provided a rigorous grounding of social network analysis in graph theory.
- We've not given much attention to the cutting-edge issues of the evolution of networks, and the interface between network theory and complexity theory.
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- This typically involves analysis of quantitative data such as costs or revenues.
- There are a few approaches that can be used to help structure the analysis and assessment of potential decision alternatives.
- These range from simple tools such as lists of pros and cons to more complex models such as decision trees and influence diagrams, which can capture more variables and include more data.
- One limitation to using decision trees is that they can become highly complicated as decisions become more complex or outcomes involve greater numbers of variables.
- Model potential decision alternatives through utilizing pro/con analysis, influence diagrams, decision trees and Bayesian networks