Determination of buchi automata torrent

determination of buchi automata torrent

The probabilistic seismic hazard analysis needs various input data which temporal logic properties, a Büchi automaton encodes a temporal property. Reduction to a Deterministic Büchi Automaton Objective 76 to the bit-torrent protocol where selfish clients became more popular. Turing award for their foundational work on deterministic and nondeterministic finite state automata. By , however, Rabin's interests were all about. IMPRIMIR RETICULA INDESIGN TORRENT If Primary :- Our Google Apps are in the more powerful, user-friendly for example. Save my name, email, a simple machine must browser for on the many different. The simplest email archiving Valentine was could pave College is from seeing Fortinet Academy.

The papers address all current issues, challenges and future directions of verification for hardware, software, and hybrid systems and present academic research in the verification of systems, generally divided into two paradigms - formal verification and dynamic verification testing. Within each paradigm, different algorithms and techniques are used for hardware and software systems with a special focus on hybrid methods.

Hana Chockler. Alan J. Editors : Hana Chockler, Alan J. Publisher : Springer Berlin, Heidelberg. Softcover ISBN : Series ISSN : Edition Number : 1. Number of Pages : XII, Skip to main content. Search SpringerLink Search. Editors: view affiliations Hana Chockler, Alan J. Conference proceedings info: HVC Buying options eBook EUR Softcover Book EUR In studying the language, we will turn to its diverse and exciting body of literature, including one poem commemorating the brutal defeat by a Viking army and another based on the biblical story of Judith, who tricks the evil king Holofernes into sleeping with her-but not before slicing off his drunken head.

We will also read a variety of shorter texts: laws, medical recipes, humorously obscene riddles. Successful completion of the course will give students a richer sense not only of the earliest period of English literature, but also of the English language as it is written and spoken today.

No prior experience with Old or Middle English is necessary for this course. Hum ab. Topics in French Culture and Literature. Prerequisites: L abc or equivalent.. Offered concurrently with L ab. Hum a and Hum b taught in alternate years.

Part a: 20th-century French literature. Part b: Contemporary France. Students who write papers in French may enroll in this class as L ab. Part a not offered L ab. Offered concurrently with Hum ab. L a and L b taught in alternate years.

Students who write papers in English may enroll in this class as Hum ab, which satisfies the advanced humanities requirement. Analog Electronics for Physicists. Prerequisites: Ph 1 abc, Ma 2, or equivalent.. A laboratory course intended for graduate students, it covers the design, construction, and testing of simple, practical analog and interface circuits useful for signal conditioning and experiment control in the laboratory.

No prior experience with electronics is required. Students will use operational amplifiers, analog multipliers, diodes, bipolar transistors, and passive circuit elements. The course culminates in a two-week project of the student's choosing. Frontiers in Neuroeconomics. The new discipline of Neuroeconomics seeks to understand the mechanisms underlying human choice behavior, born out of a confluence of approaches derived from Psychology, Neuroscience and Economics.

This seminar will consider a variety of emerging themes in this new field. Some of the topics we will address include the neural bases of reward and motivation, the neural representation of utility and risk, neural systems for inter-temporal choice, goals vs habits, and strategic interactions. We will also spend time evaluating various forms of computational and theoretical models that underpin the field such as reinforcement-learning, Bayesian models and race to barrier models.

Introductory Methods of Computational Mathematics. The sequence covers the introductory methods in both theory and implementation of numerical linear algebra, approximation theory, ordinary differential equations, and partial differential equations. The linear algebra parts covers basic methods such as direct and iterative solution of large linear systems, including LU decomposition, splitting method Jacobi iteration, Gauss-Seidel iteration ; eigenvalue and vector computations including the power method, QR iteration and Lanczos iteration; nonlinear algebraic solvers.

The approximation theory includes data fitting; interpolation using Fourier transform, orthogonal polynomials and splines; least square method, and numerical quadrature. The ODE parts include initial and boundary value problems. Stability analysis will be covered with numerical PDE.

Programming is a significant part of the course. Instructor: Hou. Comparative Biomechanics. Have you ever wondered how a penguin swims or why a maple seed spins to the ground? How a flea can jump as high as a kangaroo? If spider silk is really stronger than steel? This class will offer answers to these and other questions related to the physical design of plants and animals.

The course will provide a basic introduction to how engineering principles from the fields of solid and fluid mechanics may be applied to the study of biological systems. The course emphasizes the organismal level of complexity, although topics will relate to molecular, cell, and tissue mechanics.

The class is explicitly comparative in nature and will not cover medically-related biomechanics. Topics include the physical properties of biological materials, viscoelasticity, muscle mechanics, biological pumps, and animal locomotion. Offered Instructor: Dickinson.

Poetry and the Project of Justice. This course explores how contemporary poets grapple with the most urgent questions of our moment: identity, equality, environmental crisis, and justice. In this class, students will gain confidence in reading, discussing, and writing about contemporary poems and will encounter recent and more distant traditions of protest poetry.

We will ask how poetic language articulates questions of embodiment, community, law, and memory. The syllabus will focus in particular on writers of color, including queer and indigenous poets, and will include opportunities to attend local poetry readings. Instructor: Jahner. Research in Environmental Science and Engineering. Units by arrangement: any term. Exploratory research for first-year graduate students and qualified undergraduates. Introduction to Structural Geology. Prerequisites: Ge 11 ab.

Description and origin of main classes of deformational structures. Introduction to continuum mechanics and its application to rock deformation. Interpretation of the record of deformation of the earth's crust and upper mantle on microscopic, mesoscopic, and megascopic scales. Introduction to the tectonics of mountain belts. Instructor: Avouac. Elementary Japanese. Prerequisites: Section a is required for sections b and c. Emphasis on oral-aural skills, and understanding of basic grammar.

Immediate introduction of the native script-hiragana, katakana-and gradual introduction to to characters. Instructor: Fujio. Ph abc. Topics in Classical Physics. Prerequisites: Ph 2 ab or Ph 12 abc, Ma 2. An intermediate course in the application of basic principles of classical physics to a wide variety of subjects. Ph a will be devoted to mechanics, including Lagrangian and Hamiltonian formulations of mechanics, small oscillations and normal modes, central forces, and rigid-body motion.

Ph b will be devoted to fundamentals of electrostatics, magnetostatics, and electrodynamics, including boundary-value problems, multipole expansions, electromagnetic waves, and radiation. It will also cover special relativity. Ph c will cover advanced topics in electromagnetism and an introduction to classical optics.

Instructors: Fuller, Golwala, Hutzler. Introduction to Astronomical Observation. Prerequisites: CS 1 or equivalent coding experience recommended. This hands-on, project-based course covers the design, proposal, and execution of astronomical observations, the basics of data reduction and analysis, and interacting with astronomical survey catalogs.

In the first module, students will learn to use small, portable telescopes and find and image objects of interest using finder charts. In the second module, students will use Palomar Observatory to propose and execute their own research projects focused on astrophysical or planetary topics.

In the third module, students will query and work with data from on-line archives and catalogs. The scope of the course includes imaging and spectroscopic observational techniques at optical and infrared wavelengths. The format centers on projects and practical skills but also includes a lecture and problem set component to establish the theoretical underpinnings of the practical work. The course meets once a week in the evening, and there are required field trips to Palomar Observatory.

Instructors: Hillenbrand, de Kleer. BE Students will formulate and implement an engineering project designed to explore a biological principle or property that is exhibited in nature. Students will work in small teams in which they build a hardware platform that is motivated by a biological example in which a given approach or architecture is used to implement a given behavior.

Alternatively, the team will construct new experimental instruments in order to test for the presence of an engineering principle in a biological system. Each project will involve proposing a specific mechanism to be explored, designing an engineering system that can be used to demonstrate and evaluate the mechanism, and building a computer-controlled, electro-mechanical system in the lab that implements or characterizes the proposed mechanism, behavior or architecture.

Instructors: Dickinson, Murray. Corporate Finance. Prerequisites: BEM The main objective of the course is to develop insight into the process by which firms can create value for their shareholders. We will study major corporate decisions from the perspective of the firm with an emphasis on the interaction of the firm with financial markets: quantitative project evaluation for investment, choice between borrowing and issuing stock, dividend policy, organizational form for example, mergers and acquisitions.

Theory, empirical evidence, and case analysis all play significant roles in the course. Topics include discounted cash flow models, risk and return, capital asset pricing model, capital market efficiency, capital structure and the cost of capital and dividend policy.

Instructor: Ewens. Social Media for Scientists. An introduction to the use of social media for scientific communication. Social media platforms are discussed in the context of their use to professionally engage scientific communities and general audiences. Topics will include ethics, privacy, reputation management, ownership and the law, and will focus on the use and impact of social media for personal and professional career development.

Lectures will include presentations by invited experts in various specialties, a number of whom will have worldwide recognition. Linear Analysis with Applications. Covers the basic algebraic, geometric, and topological properties of normed linear spaces, inner-product spaces, and linear maps. Emphasis is placed both on rigorous mathematical development and on applications to control theory, data analysis and partial differential equations. Instructor: Stuart. Medieval Romance. The medieval term romanz designated both a language, French, and a genre, romance, dedicated to the adventures of knights and ladies and the villains, monsters, magic, and miles that stood in their way.

This course explores key examples from the twelfth through the fifteenth centuries, while also examining evolutions in the form. We will consider how romances figured love and desire as well as negotiated questions of law, territory, and cultural difference. Graduate Writing Seminar. This course provides guided instruction in academic writing in STEM fields. More specifically, it teaches graduate students about composing texts in scientific English for expert audiences.

It helps familiarize writers with academic STEM discourse, and it teaches writers about the style and genres of U. From here, students learn to review the literature in their fields and situate their own research goals within that context. This course is designed for non-native speakers of English, but it covers topics that are relevant to native English speakers. Intermediate Japanese. Continued instruction and practice in conversation, building up vocabulary, and understanding complex sentence patterns.

The emphasis, however, will be on developing reading skills. Recognition of approximately 1, characters. Instructor: Hirai. Mathematical Models in Fintech. Prerequisites: Some knowledge of game theory and optimization is helpful, BEM Introduction to Finance is recommended, and a calculus-based course in probability is required. In this course we will go over recent works on topics broadly contained in the newly emerging field of Fintech.

In particular, the topics include mathematical modeling of strategic actions of agents interacting via a blockchain technology, via crowdfunding platforms, and via online investment platforms "robo-advisors". Computational Mechanics. Numerical methods and techniques for solving initial boundary value problems in continuum mechanics from heat conduction to statics and dynamics of solids and structures. Finite difference methods, direct methods, variational methods, finite elements in small strains and at finite deformation for applications in structural mechanics and solid mechanics.

Solution of the partial differential equations of heat transfer, solid and structural mechanics, and fluid mechanics. Transient and nonlinear problems. Computational aspects and development and use of finite element code. Long before torrents of lava cascaded down Los Angeles streets in the film Volcano, volcanic disaster narratives erupted across 19th-century British pages, stages, and screens.

This class will examine the enduring fascination with volcanoes in literary and visual culture and the socio-political tensions that disaster narratives expose. Students will analyze Mary Shelley's Frankenstein and Tambora's infamous eruption, James Pain's s pyrotechnic adaptation of Vesuvius's 79AD eruption, and paintings of global sunsets after Krakatoa's eruption.

Instructor: Sullivan. Intermediate Graduate Writing Seminar. This course focuses on strategies for composing an academic journal article in a STEM field. The rhetorical purpose and form of each section of the journal article will be considered in depth. The course is intended for graduate students who are prepared to be a lead author on a manuscript.

While the course will cover strategies for collaborative writing, students will be asked to draft sections of an original journal article based upon their own research. The course will also provide instruction on selecting a target journal, preparing a manuscript for submission, and responding to feedback from peer reviewers. Clarity in scientific writing and creating effective figures will also be discussed. Course enrollment is limited to 15 students.

Applications of Physics to the Earth Sciences. Prerequisites: Ph 2 and Ma 2 or equivalent. An intermediate course in the application of the basic principles of classical physics to the earth sciences. Topics will be selected from: mechanics of rotating bodies, the two-body problem, tidal theory, oscillations and normal modes, diffusion and heat transfer, wave propagation, electro- and magneto-statics, Maxwell's equations, and elements of statistical and fluid mechanics.

Instructor: Brown. H a. The Early Middle Ages. This course is designed to introduce students to the formative period of Western medieval history, roughly from the fourth through the tenth centuries. It will emphasize the development of a new civilization from the fusion of Roman, Germanic, and Christian traditions, with a focus on the Frankish world. The course focuses on the reading, analysis, and discussion of primary sources.

H b. The High Middle Ages. This course is designed to introduce students to European history between and It will provide a topical as well as chronological examination of the economic, social, political, and religious evolution of western Europe during this period, with a focus on France, Italy, England, and Germany. The course emphasizes the reading, analysis, and discussion of primary sources. Advanced Japanese. Developing overall language skills. Literary and newspaper readings. Technical and scientific translation.

Improvement of listening and speaking ability so as to communicate with Japanese people in real situations. Recognition of the 1, general-use characters. Ma abc. Classical Analysis. Prerequisites: Ma 1 or equivalent, or instructor's permission.

May be taken concurrently with Ma Second term: brief introduction to ordinary differential equations; Lebesgue integration and an introduction to Fourier analysis. Third term: the theory of functions of one complex variable. Instructors: Dunn, Karpukhin, Demirel-Frank. Mathematical Modelling. This course gives an overview of different mathematical models used to describe a variety of phenomena arising in the biological, engineering, physical and social sciences.

Emphasis will be placed on the principles used to develop these models, and on the unity and cross-cutting nature of the mathematical and computational tools used to study them. Applications will include quantum, atomistic and continuum modeling of materials; epidemics, reacting-diffusing systems; crowd modeling and opinion formation.

Mathematical tools will include ordinary, partial and stochastic differential equations, as well as Markov chains and other stochastic processes. Introduction to techniques of micro-and nanofabrication, including solid-state, optical, and microfluidic devices. Students will be trained to use fabrication and characterization equipment available in the applied physics micro- and nanofabrication lab.

Topics include Schottky diodes, MOS capacitors, light-emitting diodes, microlenses, microfluidic valves and pumps, atomic force microscopy, scanning electron microscopy, and electron-beam writing. Instructors: Troian, Ghaffari. Frontiers in Behavioral Economics. Prerequisites: Ec This course will study topics in behavioral economics demonstrating departures from the classic economics assumptions of rationality and pure self-interest.

We will study evidence of these departures, models that have been designed to capture these preferences, and applications of these models to important economic questions. Topics will include biases and heuristics, risk preferences, self-control, strategic uncertainty, and social preferences, among others. The course will be based in readings from both classic and modern research. Methodologically, the course will combine both theoretical and empirical evidence of the mentioned above topics.

Instructor: Nielsen. Madness and Reason. Madness threatens to dissolve boundaries of the most various kinds: between the human and the inhumane, reality and fantasy, sickness and health. One of the tasks of a literary text is to subdue and contain madness through the construction of rational frameworks.

How does a literary text accomplish this? Which strategies, such as the use of irony and humor, are the most effective? What role do insane characters play in literary texts? And when - if ever - should we consider an excess of reason as a kind of madness in its own right? Instructor: Holland. Oral Presentation. Units to be arranged:.

Practice in the effective organization and the delivery of oral presentation of scientific results before groups. Units and scheduling are done by the individual options. H Medieval Knighthood. This course tells the story of the knight from his beginnings in the early Middle Ages, through his zenith in the 11th, 12th, and 13th centuries, to his decline and transformation in the late medieval and early modern periods. The course treats the knight not simply as a military phenomenon but also as a social, political, religious, and cultural figure who personified many of the elements that set the Middle Ages apart.

This course will introduce students to the artistic style and the social, historical, and political content of French films, starting with Melies and the Lumiere brothers and working through surrealism and impressionism, s poetic realism, the Occupation, the New Wave, the Cinema du look, and the contemporary cinema. The class will teach students to look at film as a medium with its own techniques and formal principles. Conducted in English.

Introduction to Geometry and Topology. Prerequisites: Ma 2 or equivalent, and Ma must be taken previously or concurrently. First term: aspects of point set topology, and an introduction to geometric and algebraic methods in topology. Second term: the differential geometry of curves and surfaces in two- and three-dimensional Euclidean space.

Third term: an introduction to differentiable manifolds. Transversality, differential forms, and further related topics. Instructors: Smillie, Park. Wr Topics in Applied Physics. A seminar course designed to acquaint advanced undergraduates and first-year graduate students with the various research areas represented in the option.

Lecture each week given by a different member of the APh faculty, who will review his or her field of research. Instructor: Bellan. Venture Capital. Prerequisites: BEM , An introduction to the theory and practice of venture capital financing of start-ups.

This course covers the underlying economic principles and theoretical models relevant to the venture investment process, as well as the standard practices used by industry and detailed examples. CDS Introduction to Feedback Control Systems. An introduction to analysis and design of feedback control systems, including classical control theory in the time and frequency domain.

Stability and performance of interconnected systems, including use of block diagrams, Bode plots, the Nyquist criterion, and Lyapunov functions. Design of feedback controllers in state space and frequency domain based on stability, performance and robustness specifications. Introduction to Biochemistry. Prerequisites: Ch 41 abc or instructor's permission.

Lectures and recitation introducing the molecular basis of life processes, with emphasis on the structure and function of proteins. Topics will include the derivation of protein structure from the information inherent in a genome, biological catalysis, and the intermediary metabolism that provides energy to an organism. Instructor: Clemons. This graduate course examines the research on university-level STEM science, technology, engineering, and mathematics teaching and learning, which has been used to inform a well-established body of evidence-based teaching practices.

Weekly interactive meetings will provide focused overviews and guided application of key pedagogical research, such as prior knowledge and misconceptions, novice-expert differences, and cognitive development as applied to university teaching. We will explore the roles of active learning, student engagement, and inclusive teaching practices in designing classes where all students have an equal opportunity to be successful and feel a sense of belonging, both in the course and as scientists.

Readings will inform in-class work and students will apply principles to a project of their choice. Instructors: Horii, Weaver. Embedded Systems Design Laboratory. The student will design, build, and program a specified microprocessor-based embedded system. This structured laboratory is organized to familiarize the student with large-scale digital and embedded system design, electronic circuit construction techniques, modern development facilities, and embedded systems programming.

The lectures cover topics in embedded system design such as display technologies, interfacing to analog signals, communication protocols, PCB design, and programming in high-level and assembly languages. Given in alternate years; c Offered ; ab Not offered Instructor: George.

Sinners, Saints, and Sexuality in Premodern Literature. What made the difference between saint and sinner in medieval and Renaissance literature? This class takes up this question by focusing on the unruly problems of embodiment. We will read across a wide range of literatures, including early medical texts, saints' lives, poetry and romance, as we examine how earlier periods understood gender and sexual difference.

Questions we may consider include the following: how did writers construct the "naturalness" or "unnaturalness" of particular bodies and bodily acts? How did individuals assert control over their own bodies and those of others? In what ways did writing authorize, scrutinize, or police the boundaries of the licit and illicit? Finally, how have modern critics framed these questions? Instructor: Not offered ESE abc. Seminar in Environmental Science and Engineering.

Seminar on current developments and research in environmental science and engineering. Instructor: Callies. Causation and Explanation. An examination of theories of causation and explanation in philosophy and neighboring disciplines. Topics discussed may include probabilistic and counterfactual treatments of causation, the role of statistical evidence and experimentation in causal inference, and the deductive-nomological model of explanation. The treatment of these topics by important figures from the history of philosophy such as Aristotle, Descartes, and Hume may also be considered.

Instructor: Eberhardt. Elementary Spanish. Grammar fundamentals and their use in understanding, speaking, reading, and writing Spanish. Exclusively for students with no previous knowledge of Spanish. Instructors: Arjona, Garcia. Prerequisites: Ma or previous exposure to metric space topology, Lebesgue measure. Second term: basic complex analysis: analytic functions, conformal maps and fractional linear transformations, idea of Riemann surfaces, elementary and some special functions, infinite sums and products, entire and meromorphic functions, elliptic functions.

Third term: harmonic analysis; operator theory. Operator theory: compact operators, trace and determinant on a Hilbert space, orthogonal polynomials, the spectral theorem for bounded operators. If time allows, the theory of commutative Banach algebras. Instructors: Karpukhin, Rains, Angelopoulos. Special Laboratory Work in Mechanical Engineering. Special laboratory work or experimental research projects may be arranged by members of the faculty to meet the needs of individual students as appropriate.

A written report is required for each term of work. MS abc. Materials Research Lectures. A seminar course designed to introduce advanced undergraduates and graduate students to modern research in materials science.

Instructors: Fultz, Faber, Bernardi. Ay ab. Introduction to Current Astrophysics Research. This course is intended primarily for first-year Ay graduate students, although participation is open and encouraged. Students are required to attend seminar-style lectures given by astrophysics faculty members, describing their research, to attend the weekly astronomy colloquia, and to follow these with additional readings on the subject. At the end of each term, students are required to summarize in oral or written form at the discretion of the instructor , one of the covered subjects that is of most interest to them.

Instructors: Hallinan, Hopkins. Quantitative Risk and Portfolio Management. An introduction to financial risk management. Concepts of Knightian risk and uncertainty; coherent risk; and commonly used metrics for risk. Techniques for estimating equity risk; volatility; correlation; interest rate risk; and credit risk are described. Discussions of fat-tailed leptokurtic risk, scenario analysis, and regime-switching methods provide an introduction to methods for dealing with risk in extreme environments.

Instructor: Winston. Biochemistry of Gene Expression. Lectures and recitation on the molecular basis of biological structure and function. Emphasizes the storage, transmission, and expression of genetic information in cells. Specific topics include DNA replication, recombination, repair and mutagenesis, transcription, RNA processing, and protein synthesis. Instructors: Campbell, Parker. Sustainable Chemical Engineering. Begins with the Earth's resources including fresh water, nitrogen, carbon and other biogeochemical cycles that set the global context for chemical engineering; examines regional and local systems using chemical engineering thermodynamics, reaction analysis and transport phenomena to model the effects of human activities on air, water and soil; concludes with examples of computational models guiding public policy.

Instructor: Kornfield. Graduate Programming Practicum. Prerequisites: CS 1 or equivalent. A self-paced lab that provides students with extra practice and supervision in transferring their programming skills to a particular programming language. The course can be used for any language of the student's choosing, subject to approval by the instructor. A series of exercises guide the student through the pragmatic use of the chosen language, building his or her familiarity, experience, and style.

More advanced students may propose their own programming project as the target demonstration of their new language skills. This course is available for graduate students only. CS may be repeated for credit of up to a total of nine units. Undergraduates should register for CS Instructors: Blank, Vanier. EE Signal-Processing Systems and Transforms. Prerequisites: Ma 1. An introduction to continuous and discrete time signals and systems with emphasis on digital signal processing systems.

Study of the Fourier transform, Fourier series, z-transforms, and the fast Fourier transform as applied in electrical engineering. Sampling theorems for continuous to discrete-time conversion. Difference equations for digital signal processing systems, digital system realizations with block diagrams, analysis of transient and steady state responses, and connections to other areas in science and engineering.

Instructor: Vaidyanathan. Violence and Reconciliation on the Shakespearean Stage. Sir Francis Bacon famously described revenge as a "wild justice," and there are vivid examples of such justice in the drama of Shakespeare and his contemporaries: revenge for political betrayal and tyranny, for sexual infidelities and desires, for religious misbehavior and dogmatism.

But what of the experience of reconciliation on the Shakespearean stage? What pathways to concord and peace did these plays offer? This course explores the relationship of violence to the fleeting experience of reconciliation in early modern drama. The plays of Shakespeare, Marlowe, Jonson, Middleton, and Dryden allow us to consider how drama as text and performance engaged and continues to engage playgoers as they watch the religious, social, and political upheaval of their worlds mounted to the stage.

Instructor: Koch. Ge ab. Applied Geophysics Seminar and Field Course. Prerequisite: Ge a. An introduction to the theory and application of basic geophysical field techniques consisting of a comprehensive survey of a particular field area using a variety of methods e. The course will consist of a seminar that will discuss the scientific background for the chosen field area, along with the theoretical basis and implementation of the various measurement techniques.

The day field component will be held in spring break, and the data analysis component is covered in Ge b. May be repeated for credit with an instructor's permission. Instructors: Clayton, Simons. The Medieval Church. This course takes students through the history of the medieval Christian Church in Europe, from its roots in Roman Palestine, through the zenith of its power in the high Middle Ages, to its decline on the eve of the Reformation.

The course focuses on the church less as a religion although it will by necessity deal with some basic theology than as an institution that came to have an enormous political, social, cultural, and economic impact on medieval life, and for a brief time made Rome once more the mistress of Europe.

Topics in Analysis. Prerequisites: Ma or instructor's permission. This course will discuss advanced topics in analysis, which vary from year to year. Instructors: Frank, Angelopoulos, Makarov. Effective Communication Strategies for Engineers and Scientists.

Prerequisites: None. This graduate course offers instruction and practice in written and oral communication for scientists and engineers. The course is designed to increase students' effectiveness in communicating complex technical information to diverse audiences and to deepen their understanding of communication tools and techniques.

Students will explore scientific storytelling through multiple communication genres, including research manuscripts and presentations, visual narratives, and traditional and social media channels. In-class workshops will provide students with the opportunity to revise their work and consider feedback from instructors and peers.

Registration by application only, and EAS graduate students are given priority. International Financial Markets. Prerequisites: BEM or instructor permission. The course offers an introduction to international financial markets, their comparative behavior, and their inter-relations. The principal focus will be on assets traded in liquid markets: currencies, equities, bonds, swaps, and other derivatives.

Attention will be devoted to 1 institutional arrangements, taxation, and regulation, 2 international arbitrage and parity conditions, 3 valuation, 4 international diversification and portfolio management, 5 derivative instruments, 6 hedging, 7 dynamic investment strategies, 8 other topics of particular current relevance and importance. Optimal Control and Estimation. Optimization-based design of control systems, including optimal control and receding horizon control.

Hydraulic Engineering. Inorganic Chemistry. Prerequisites: Ch or instructor's permission. Introduction to group theory, ligand field theory, and bonding in coordination complexes and organotransition metal compounds. Systematics of bonding, reactivity, and spectroscopy of commonly encountered classes of transition metal compounds. Instructors: Agapie, Hadt. Creativity and Technological Innovation with Microfluidic Systems. This course combines three parts.

First, it will cover fundamental aspects of kinetics, mass-transport, and fluid physics that are relevant to microfluidic systems. Second, it will provide an understanding of how new technologies are invented and reduced to practice. Finally, students in the course will work together to design microfluidic systems that address challenges in Global Health, with an emphasis on students' inventive contributions and creativity.

Students will be encouraged and helped, but not required, to develop their inventions further by working with OTT and entrepreneurial resources on campus. Participants in this course benefit from enrollment of students with diverse backgrounds and interests. Students are encouraged to contact the instructor to discuss enrollment.

Instructor: Ismagilov. Bayesian Statistics. This course provides an introduction to Bayesian Statistics and its applications to data analysis in various fields. Topics include: discrete models, regression models, hierarchical models, model comparison, and MCMC methods. The course combines an introduction to basic theory with a hands-on emphasis on learning how to use these methods in practice so that students can apply them in their own work.

Previous familiarity with frequentist statistics is useful but not required. Instructor: Rangel. Introduction to Signal Processing from Data. Prerequisites: EE or equivalent. Math 3 recommended. Fundamentals of digital signal processing, extracting information from data by linear filtering, recursive and non-recursive filters, structural and flow graph representations for filters, data-adaptive filtering, multrirate sampling, efficient data representations with filter banks, Nyquist and sub-Nyquist sampling, sensor array signal processing, estimating direction of arrival DOA information from noisy data, and spectrum estimation.

Not Offered Sedimentology and Stratigraphy. Systematic analysis of transport and deposition in sedimentary environments and the resulting composition, texture, and structure of both clastic and chemical sedimentary rocks. The nature and genesis of sequence architecture of sedimentary basins and cyclic aspects of sedimentary accumulation will be introduced.

Covers the formal and practical principles of definition of stratigraphic units, correlation, and the construction of a geologic timescale. Field trip and laboratory exercises. Instructor: Grotzinger. The Vikings. This course will take on the Scandinavian seafaring warriors of the 8thth centuries as a historical problem.

What were the Vikings, where did they come from, and how they did they differ from the Scandinavian and north German pirates and raiders who preceded them? Were they really the horned-helmeted, bloodthirsty barbarians depicted by modern popular media and by many medieval chronicles?

What effect did they have in their roughly two centuries of raiding and colonization on the civilizations of medieval and ultimately modern Europe? Intermediate Spanish. Grammar review, vocabulary building, practice in conversation, and introduction to relevant history, literature, and culture. Literary reading and writing are emphasized in the second and third terms. Students who have studied Spanish elsewhere must consult with the instructor before registering.

Instructor: Arjona. Ma ab. Prerequisites: Ma 2 a probability and statistics or equivalent. The first term covers general methods of testing hypotheses and constructing confidence sets, including regression analysis, analysis of variance, and nonparametric methods.

The second term covers permutation methods and the bootstrap, point estimation, Bayes methods, and multistage sampling. Mathematical Optimization. This class studies mathematical optimization from the viewpoint of convexity. Topics covered include duality and representation of convex sets; linear and semidefinite programming; connections to discrete, network, and robust optimization; relaxation methods for intractable problems; as well as applications to problems arising in graphs and networks, information theory, control, signal processing, and other engineering disciplines.

Instructor: Chandrasekaran. Feedback and Control Circuits. Prerequisites: EE 45 or equivalent. This class studies the design and implementation of feedback and control circuits. The course begins with an introduction to basic feedback circuits, using both op amps and transistors.

These circuits are used to study feedback principles, including circuit topologies, stability, and compensation. Following this, basic control techniques and circuits are studied, including PID Proportional-Integrated-Derivative control, digital control, and fuzzy control. There is a significant laboratory component to this course, in which the student will be expected to design, build, analyze, test, and measure the circuits and systems discussed in the lectures.

Shakespeare's Career: Comedies and Histories. The first of a two-course sequence on Shakespeare's career as a dramatist and poet. We will read plays from the first half of Shakespeare's career, his comedies and histories. Particular attention will be paid to Shakespeare's use of his sources and to the textual history of the plays.

En and En may be taken independently and, usually, are taught in alternate years. Instructor: Pigman. APh abc. Solid-State Physics. Prerequisites: Ph abc or equivalent. Introductory lecture and problem course dealing with experimental and theoretical problems in solid-state physics.

Topics include crystal structure, symmetries in solids, lattice vibrations, electronic states in solids, transport phenomena, semiconductors, superconductivity, magnetism, ferroelectricity, defects, and optical phenomena in solids. Instructors: Nadj-Perge, Schwab. Bi The course will cover the molecular and cellular mechanisms that mediate recognition and response in the mammalian immune system.

Topics include cellular and humoral immunity, the structural basis of immune recognition, antigen presentation and processing, gene rearrangement of lymphocyte receptors, cytokines and the regulation of cellular responses, T and B cell development, and mechanisms of tolerance.

The course will present an integrated view of how the immune system interacts with viral and bacterial pathogens and commensal bacteria. Instructors: Bjorkman, Mazmanian. Prerequisites: Ch 21 abc or instructor's permission. Principles and applications of solid state NMR spectroscopy will be addressed with focus on structure and dynamics characterization of organic and inorganic solids.

NMR characterization methods in the areas of heterogeneous catalysts, batteries, energy storage materials, etc. Instructor: Hwang. Analog Circuit Design. Prerequisites: EE 44 or equivalent. Analysis and design of analog circuits at the transistor level. Emphasis on design-oriented analysis, quantitative performance measures, and practical circuit limitations. Circuit performance evaluated by hand calculations and computer simulations. Recommended for juniors, seniors, and graduate students.

Topics include: review of physics of bipolar and MOS transistors, low-frequency behavior of single-stage and multistage amplifiers, current sources, active loads, differential amplifiers, operational amplifiers, high-frequency circuit analysis using time- and transfer constants, high-frequency response of amplifiers, feedback in electronic circuits, stability of feedback amplifiers, and noise in electronic circuits, and supply and temperature independent biasing.

C filters, phase locked loops, oscillators, and modulators. Instructor: Hajimiri. Shakespeare's Career: Tragedies and Tragicomedies. The second of a two-course sequence on Shakespeare's career as a dramatist and poet. We will read works from the second half of Shakespeare's career, his tragedies, tragicomedies, and Sonnets.

Ge a. Atomic structure, composition, physical properties, occurrence, and identifying characteristics of the major mineral groups. The laboratory work involves the characterization and identification of important minerals by their physical properties. Instructor: Rossman. Ge b. Mineralogy Laboratory. Prerequisites: concurrent enrollment in Ge a or instructor's permission. Additional laboratory studies of optical crystallography, the use of the petrographic microscope, and optical methods of mineral identification.

Hum abc. Spanish and Latin American Literature. Offered concurrently with L abc. First and second terms: study of literary texts from the Spanish American and Spanish traditions, their cultural and historical relevance, covering all periods, with emphasis on contemporary authors.

Conducted in Spanish. Students who write papers in Spanis may enroll in this class as L abc. Instructor: Garcia. Offered concurrently with Hum abc. Students who write papers in English may enroll in this class as Hum abc, which satisfies the advanced humanities requirement. Spacecraft Navigation.

Prerequisites: CDS a. This course will survey all aspects of modern spacecraft navigation, including astrodynamics, tracking systems for both low-Earth and deep-space applications including the Global Positioning System and the Deep Space Network observables , and the statistical orbit determination problem in both the batch and sequential Kalman filter implementations. The course will describe some of the scientific applications directly derived from precision orbital knowledge, such as planetary gravity field and topography modeling.

Numerous examples drawn from actual missions as navigated at JPL will be discussed. Physics of Momentum Transport in Hydrodynamic Systems. Prerequisites: ACM 95 or equivalent. Contemporary research in many areas of physics requires some knowledge of the principles governing hydrodynamic phenomena such as nonlinear wave propagation, symmetry breaking in pattern forming systems, phase transitions in fluids, Langevin dynamics, micro- and optofluidic control, and biological transport at low Reynolds number.

This course offers students of pure and applied physics a self-contained treatment of the fundamentals of momentum transport in hydrodynamic systems. Mathematical techniques will include formalized dimensional analysis and rescaling, asymptotic analysis to identify dominant force balances, similitude, self-similarity and perturbation analysis for examining unidirectional and Stokes flow, pulsatile flows, capillary phenomena, spreading films, oscillatory flows, and linearly unstable flows leading to pattern formation.

Advanced solution methods will be taught in class as needed. Instructor: Troian. Viruses and Applications to Biological Systems. Learn about viruses as fascinating biological machines, focusing on naturally-occurring and evolved variants, in silico viral vector engineering, and computational methods that include structure visualization and machine learning.

This course will introduce the fundamentals in the chemistry and biology of viruses, emphasizing their engineerable properties for use in basic research and translational applications. Topics include: viruses by the numbers, mammalian and non-mammalian plant, bacteria viruses, enveloped vs.

The lectures will be complemented by short lab exercises in AAV preparation, bioinformatics and machine learning, and structure visualization. Instructors: Bjorkman, Gradinaru, Van Valen. Electronic Materials Processing. Introduction into the gas-phase processing techniques used in the fabrication of electronic materials and devices.

Kinetic theory of gases. Surface chemistry and gas-surface interaction dynamics. Film deposition techniques: physical and chemical vapor deposition, atomic layer epitaxy, liquid-phase epitaxy, molecular beam epitaxy. Introduction into plasmas and their role in patterned etching and layer deposition. Charging damage during plasma processing. Determination of key parameters that control the ion energy and flux to the wafer surface. Functional Programming. Prerequisites: CS 1 and CS 4. This course is a both a theoretical and practical introduction to functional programming, a paradigm which allows programmers to work at an extremely high level of abstraction while simultaneously avoiding large classes of bugs that plague more conventional imperative and object-oriented languages.

The course will introduce and use the lazy functional language Haskell exclusively. Topics include: recursion, first-class functions, higher-order functions, algebraic data types, polymorphic types, function composition, point-free style, proving functions correct, lazy evaluation, pattern matching, lexical scoping, type classes, and modules. Some advanced topics such as monad transformers, parser combinators, dynamic typing, and existential types are also covered.

Instructor: Vanier. Prerequisites: Introductory electromagnetic class and consent of the instructor. Topics may vary. Petrology and Petrography: Igneous Petrology. Prerequisites: Ge ab.

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Is my assumption wrong? Improve this question. What assumption are you referring to? If so, how are you using a final state? Maybe you should define your model and domain explicitly. But as I have to construct deterministic finite machine to recognize them, so i have restricted my set of properties safety and weak co-safety properties which can be recognized by Buchi automaton which have unconditionally accepting state with a true loop.

So my assumption is that for all safety properties also weak until properties such automaton exists. Am i correct in my assumption?? See for instance the book Infinite Words by Perrin and Pin. Show 3 more comments.

Sorted by: Reset to default. Highest score default Date modified newest first Date created oldest first. Improve this answer. Shaull Shaull 5, 1 1 gold badge 20 20 silver badges 30 30 bronze badges. Add a comment. Sign up or log in Sign up using Google. Sign up using Facebook. Sign up using Email and Password. Post as a guest Name. Email Required, but never shown.

Featured on Meta. Testing new traffic management tool. Announcing the arrival of Valued Associate Dalmarus. Determinising Parity Automata. View 6 excerpts, cites methods and background. Optimal transformations of Muller conditions. Determinization and Limit-determinization of Emerson-Lei automata.

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