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The main goal of this chapter is to prepare some terminology to be used in the rest of the book. One important notion introduced in this chapter is that of the undropping game. We will use it to prove a comparison theorem for hod mice in Chapter 4.
This chapter studies internal theory of lsa hod mice. Suppose $(\mathcal{P},\Sigma)$ is a hod pair of an sts hod pair, $X$ is a self-wellordered set such that $\mathcal{P}\in X$, and $\mathcal{N}$ is a $\Sigma$ or $\Sigma$-sts mouse over $X$. The main theorem of this chapter shows that N is $\Sigma$-closed and has fullness preserving iteration strategy, then $\Sigma \restriction \mathcal{N}[g]$ is definable in $\mathcal{N}[g]$ for any generic $g$ over $\mathcal{N}$ . The main idea behind the proof is that the branch of an iteration tree $\mathcal{T}$ on $\mathcal{P}$ can be identified by the authentication process introduced in Chapter 3.
• The importance of the spatial placement of agents in social interaction;
• Basic human proxemics: how people manage space in relation to others;
• How a robot manages the space around it, including interactions such as approaching, initiating interaction, maintaining distance, and navigating around people;
• How the properties of spatial interaction can be used as cues for robots.
This chapter gives a proof of generic interpretability for (pre)hod pairs, studies derived models of hod mice, and proves branch condensation holds on a tail for anomalous hod pairs of type II and III.
This chapter presents a construction of the minimal model of LSA from a hypothesis implied by strong forcing axioms such as PFA and by large cardinal hypotheses such as the existence of a strongly compact cardinal. Consequently, LSA is consistent relative to PFA and LSA is consistent relative to the existence of a strongly compact cardinal. This chapter is an application of the theory developed in the previous chapters and the core model induction technique, which is a general method for calibrating consistency strength of strong theories.
The role of robots in society keeps expanding and diversifying, bringing with it a host of issues surrounding the relationship between robots and humans. This introduction to human–robot interaction (HRI) by leading researchers in this developing field is the first to provide a broad overview of the multidisciplinary topics central to modern HRI research. Written for students and researchers from robotics, artificial intelligence, psychology, sociology, and design, it presents the basics of how robots work, how to design them, and how to evaluate their performance. Self-contained chapters discuss a wide range of topics, including speech and language, nonverbal communication, and processing emotions, plus an array of applications and the ethical issues surrounding them. This revised and expanded second edition includes a new chapter on how people perceive robots, coverage of recent developments in robotic hardware, software, and artificial intelligence, and exercises for readers to test their knowledge.
This chapter introduces recursive difference equations where the initial conditions are nonzero. The output of such a system is studied in detail. One application is in the design of digital waveform generators such as oscillators, and this is explained in considerable detail. The coupled-form oscillator, which simultaneously generates synchronized sine and cosine waveforms at a given frequency, is presented. The chapter also introduces another application of recursive difference equations, namely the computation of mortgages. It is shown that the monthly payment on a loan can be computed using a first-order recursive difference equation. The equation also allows one to calculate the interest and principal parts of the payment every month, as shown. Poles play a crucial role in the behavior of recursive difference equations with zero or nonzero initial conditions. Many different manifestations of the effect of a pole are also summarized, including some time-domain dynamical meanings of poles.
Networks can get big. Really big. Examples include web crawls, online social networks, and knowledge graphs. Networks from these domains can have billions of nodes and hundreds of billions of edges. Systems biology is yet another area where networks will continue to grow. As sequencing methods continue to advance, more networks and larger, denser networks will need to be analyzed. This chapter discusses some of the challenges you face and solutions you can try when scaling up to massive networks. These range from implementation details to new algorithms and strategies to reduce the burden of such big data. Various tools, such as graph databases, probabilistic data structures, and local algorithms, are at our disposal, especially if we can accept sampling effects and uncertainty.