531,513
532K

Dec 5, 2008
12/08

by
MIT OpenCourseWare

movies

#
eye 531,513

#
favorite 41

#
comment 2

*Please note that Lecture 4 is unavailable in a higher quality format. Instructor/speaker: Prof. Gilbert Strang View the complete course at: http://ocw.mit.edu/18-06S05 This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices. License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms...

favoritefavoritefavoritefavorite ( 2 reviews )

Topic: systems of equations, vector spaces, positive definite matrices, matrix theory, linear algebra,...

59,190
59K

movies

#
eye 59,190

#
favorite 7

#
comment 0

This collection contains a group of problem solving videos. Each video is led by a teaching assistant, who works through a particular linear algebra problem to show OCW users how to complete it. View the complete course at: http://ocw.mit.edu/18-06SCF11

Topics: matrix theory, linear algebra, systems of equations, vector spaces, determinants, eigenvalues,...

33,459
33K

movies

#
eye 33,459

#
favorite 2

#
comment 0

Lecture videos from 6.262 Discrete Stochastic Processes, Spring 2011. View the complete course: http://ocw.mit.edu/6-262S11 Instructor: Robert Gallager License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms

Topics: probability, Poisson processes, finite-state Markov chains, renewal processes, countable-state...

941
941

May 6, 2022
05/22

by
E. Wentzel; L. Ovcharov

texts

#
eye 941

#
favorite 7

#
comment 0

This book is based on many years of experience of teaching probability theory and its applications at higher educational establishments. It contains many of the problems we ourselves encountered in our research and consultative work. The problems are related to a variety of fields including electrical engineering, radio engineering, data transmission, computers, information systems, reliability of technical devices, preventive maintenance and repair, accuracy of apparatus, consumer service,...

Topics: statistics, probability, problem book, mir publishers, urn model, algebra of events, bayes's...

1,390
1.4K

Jan 3, 2022
01/22

by
A. A. Sveshnikov

texts

#
eye 1,390

#
favorite 8

#
comment 0

Students at all levels of study in the theory of probability and in the theory of statistics will find in this book a broad and deep cross-section of problems (and their solutions) ranging from the simplest combinatorial probability prob lems in finite sample spaces through information theory, limit theorems and the use of moments. The introductions to the sections in each chapter establish the basic formulas and notation and give a general sketch of that part of the theory that is to be...

Topics: mathematics, problems and solutions, problem book, statistics, soviet, random functions,...

41,773
42K

Dec 4, 2008
12/08

by
MIT OpenCourseWare

movies

#
eye 41,773

#
favorite 9

#
comment 1

This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices.

favoritefavoritefavoritefavoritefavorite ( 1 reviews )

Topic: systems of equations, vector spaces, positive definite matrices, matrix theory, linear algebra,...

3,627
3.6K

Dec 31, 2018
12/18

by
E. S. Wentzel

texts

#
eye 3,627

#
favorite 16

#
comment 0

OPERATIONS RESEARCH by E. S. Wentzel The aim of this book is to present in a widely appealing form the subject matter and methods of operations research (OR), a managerial tool designed to increase the effectiveness of managerial decisions as an objective supplement to the subjective assessment. With no confinement to an exclusive area of practice, the discussion in the book is focused on the methodological aspects which are common to all OR problems is simple and requires wherever...

Topics: mir books, mir publishers, game theory, probability theory, statistical decision, statistical...

560
560

Feb 8, 2022
02/22

by
R. L. Stratonovich

texts

#
eye 560

#
favorite 2

#
comment 0

The present book, in two volumes, is concerned with a variety of topics which have been left to one side, as it were, but which are never theless of great practical importance. In particular, we have in mind problems involving the effects of noise on electronic relays and vacuum- tube oscillators. Recently, there has been increased interest in the oper ation of switching devices and self-excited systems, not only because of the development of methods of coherent radar detection, but also in...

Topics: random functions, theorems, noise, markov processes, relays, non-linear self-excited oscillations,...

609
609

Feb 8, 2022
02/22

by
R. L. Stratonovich

texts

#
eye 609

#
favorite 6

#
comment 0

The present book, in two volumes, is concerned with a variety of topics which have been left to one side, as it were, but which are never theless of great practical importance. In particular, we have in mind problems involving the effects of noise on electronic relays and vacuum- tube oscillators. Recently, there has been increased interest in the oper ation of switching devices and self-excited systems, not only because of the development of methods of coherent radar detection, but also in...

Topics: random variables, gaussian processes, markov processes, distribution functions, noise,...

6,839
6.8K

movies

#
eye 6,839

#
favorite 4

#
comment 0

这是一组解题视频。每一个视频由一位助教通过一个具体的线性代数问题向开放课程读者展示如何求解。 (This collection contains a group of problem solving videos. Each video is led by a teaching assistant, who works through a particular linear algebra problem to show OCW users how to complete it.) View the complete course at: http://ocw.mit.edu/18-06SCF11

Topics: matrix theory, linear algebra, systems of equations, vector spaces, determinants, eigenvalues,...

716
716

Mar 1, 2022
03/22

by
E. B. Dynkin

texts

#
eye 716

#
favorite 4

#
comment 0

The present book aims at investigating the logical founda- tions of the theory of Markov random processes. The theory of Markov processes has developed rapidly in recent years, The properties o£ the trajectories of such processes and their infinitesimal operators have been studied, and intimate connexions have been discovered between the behaviour of the trajectories and the properties of the differential equations corresponding to the process. These connexions are useful for studying...

Topics: mathematics, soviet, markov processes, measurable sets, subprocesses

3,324
3.3K

Dec 3, 2008
12/08

by
MIT OpenCourseWare

movies

#
eye 3,324

#
favorite 1

#
comment 0

This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices.

Topics: systems of equations, vector spaces, positive definite matrices, matrix theory, linear algebra,...

This monograph is a comprehensive treatise on Lanchester-type models of warfare, i.e. differential-equation models of attrition in force-on-force combat operations. Its goal is to provide both an introduction to and current- state-of-the-art overview of Lanchester-type models of warfare as well as a comprehensive and unified in-depth treatment of them. Both deterministic as well as stochastic models are considered. Such models have been widely used in the United States and elsewhere for the...

Topics: DTIC Archive, Taylor, James G., NAVAL POSTGRADUATE SCHOOL MONTEREY CA, *MATHEMATICAL MODELS,...

It was an honor that HSTAM (Hellenic Society of Theoretical and Applied Mechanics) assigned to the Laboratory of Mechanics of the General Department of AUT the responsibility of organizing the 6th National Congress of Mechanics in cooperation with the Department of Civil Engineering of AUT. The proceedings of this meeting is presented.

Topics: DTIC Archive, Aifantis, E C, ARISTOTLE UNIV OF THESSALONIKI (GREECE) HELLENIC SOCIETY OF...

941
941

Dec 3, 2008
12/08

by
MIT OpenCourseWare

movies

#
eye 941

#
favorite 1

#
comment 0

This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices.

Topics: systems of equations, vector spaces, positive definite matrices, matrix theory, linear algebra,...

49
49

Mar 9, 2020
03/20

by
Kemeny, John G

texts

#
eye 49

#
favorite 3

#
comment 0

210 pages 24 cm

Topics: Markov processes, Probabilities, Markov-processen, Markov, Processus de, Probability

10
10.0

texts

#
eye 10

#
favorite 1

#
comment 0

xx, 711 p. 26 cm

Topics: Probabilities -- Congresses, Markov processes -- Congresses, Branching processes -- Congresses

131
131

Mar 26, 2013
03/13

by
Howard, Ronald A

texts

#
eye 131

#
favorite 4

#
comment 0

Bibliography: v. 1, p. [577]: v. 2, p. [1109]

Topics: Markov processes, Statistical decision, System analysis

2,270
2.3K

Jul 12, 2010
07/10

by
Cheatham, J. G.; Creason, T. L

texts

#
eye 2,270

#
favorite 0

#
comment 0

A model single-stage fan with variable inlet guide vanes (VIGV) was designed to demonstrate efficient point operation while providing flow and pressure ratio modulation capability required for a V/STOL propulsion system. The fan stage incorporates a split-flap VIGV with an independently actuated ID flap to permit independent modulation of fan and core engine airstreams, a flow splitter integrally designed into the blade and vanes to completely segregate fan and core airstreams in order to...

Topics: FAULT TOLERANCE, MARKOV PROCESSES, RELIABILITY ANALYSIS, SYSTEMS ANALYSIS, SYSTEMS ENGINEERING,...

808
808

Dec 3, 2008
12/08

by
MIT OpenCourseWare

movies

#
eye 808

#
favorite 1

#
comment 0

This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices.

Topics: systems of equations, vector spaces, positive definite matrices, matrix theory, linear algebra,...

For much of the twentieth century, Markov theory and Markov processes have been widely accepted as valid ways to view statistical variables and parameters. In the complex realm of online searching, where researchers are always seeking the route to the best search strategies and the most powerful query terms and sequences, Markov process analysis can investigate interactive search input variables in order to identify preferred search algorithms. This report uses the Statistical Analysis System...

Topics: ERIC Archive, Coding, Markov Processes, Mathematical Models, Online Searching, Predictive...

The project is aimed at developing a comprehensive framework for control of information collection, fusion, and inference from diverse modalities Our research has been organized under three inter-related thrusts. The first thrust addresses system modeling and local information processing. The second thrust emphasizes the interaction between information and control at different abstraction levels. The third thrust is focused on decentralized processing and interactive fusion. Within Thrust 1. we...

Topics: DTIC Archive, Veeravalli,Venugopal, University of Illinois at Urbana-Champaign, Urbana, IL Urbana,...

Topics: DTIC Archive, McBride, A. C., STRATHCLYDE UNIV GLASGOW (UNITED KINGDOM), *PARTIAL DIFFERENTIAL...

Human supervisory control systems are characterized by the computer-mediated nature of the interactions between one or more operators and a given task. Nuclear power plants, air traffic management and unmanned vehicles operations are examples of such systems. In this context, the role of the operators is typically highly proceduralized due to the time and mission-critical nature of the tasks. Therefore, the ability to continuously monitor operator behavior so as to detect and predict anomalous...

Topics: DTIC Archive, MASSACHUSETTS INST OF TECH CAMBRIDGE, *BEHAVIOR, *CONTROL SYSTEMS, *MARKOV PROCESSES,...

-Failure prognosis and prediction of future state of operation is important to ensure continued operation and to exercise condition base maintenance. -Most of the work in machines is focused on the diagnosis instead of prognosis. But time to failure, or remaining useful life is important. -Generally prognosis needs large historic data sets to extract fault progression trends, which are not available in most of the cases. The problem under study: -A method for prognosis of electrical failures in...

Topics: DTIC Archive, ARMY TANK AUTOMOTIVE RESEARCH DEVELOPMENT AND ENGINEERING CENTER WARREN MI,...

The broad term goal of this research program was to build a foundation for constructing probabilistic-dynamic systems from principles based on quantum as opposed to classical probability theory. So far we have applied these principles to both traditional, one-stage decision problems studied by decision researchers as well as dynamic Markov decision problems used in computer science and engineering. The more specific goal of the proposed research was to develop new applications of quantum...

Topics: DTIC Archive, INDIANA UNIV AT BLOOMINGTON, *DECISION MAKING, *QUANTUM THEORY, ALGORITHMS,...

Topics: DTIC Archive, Sclove,Stanley L, ILLINOIS UNIV AT CHICAGO CIRCLE DEPT OF MATHEMATICS, *MULTIVARIATE...

399
399

Jul 11, 2010
07/10

by
YERPYLEV, N. P., et al

texts

#
eye 399

#
favorite 0

#
comment 0

A COMPILATION OF ARTIFICIAL EARTH SATELLITES AND SPACE PROBES LAUNCHED FROM JANUARY 1, THROUGH DECEMBER 31, 1970 IS PRESENTED. TABLES OF DATA ARE PROVIDED WHICH SHOW THE COUNTRY WHICH LAUNCHED THE SATELLITE, THE DESIGNATION, THE DATE OF LAUNCH AND LENGTH OF EXISTENCE, SLOPE OF THE ORBIT TO THE EQUATOR, THE PERIOD, AND THE PERIGEE AND APOGEE OF THE ORBITS.

Topics: AIRCRAFT STABILITY, DAMPING, ROTARY STABILITY, STOCHASTIC PROCESSES, AERODYNAMIC STABILITY, MARKOV...

Wavelet-domain hidden Markov models have proven to be useful tools for statistical signal and image processing. The hidden Markov tree (HMT) model captures the key features of the joint statistics of the wavelet coefficients of real-world data. One potential drawback to the HMT framework is the need for computationally expensive iterative training (using the EM algorithm, for example). In this paper, we propose two reduced-parameter HMT models that capture the general structure of a broad class...

Topics: DTIC Archive, Romberg, Justin K, RICE UNIV HOUSTON TX DEPT OF ELECTRICAL AND COMPUTER ENGINEERING,...

301
301

May 27, 2011
05/11

by
Smialek, James L

texts

#
eye 301

#
favorite 0

#
comment 0

Single crystal superalloys exhibit excellent cyclic oxidation resistance if their sulfur content is reduced from typical impurity levels of approximately 5 ppmw to below 0.5 ppmw. Excellent alumina scale adhesion was documented for PWA 1480 and PWA 1484 without yttrium additions. Hydrogen annealing produced effective desulfurization of PWA 1480 to less than 0.2 ppmw and was also used to achieve controlled intermediate levels. The direct relationship between cyclic oxidation behavior and sulfur...

Topics: KALMAN FILTERS, LOW EARTH ORBITS, MARKOV PROCESSES, MAGNETIC MEASUREMENT, MAGNETIC FIELDS, X RAY...

243
243

Jul 26, 2010
07/10

by
Hart, Ji

texts

#
eye 243

#
favorite 0

#
comment 0

The purpose of this session was to study and identify alternatives to be recommended for the science networking areas of vision; roles and responsibilities; and technical approach and transition. This presentation is represented by charts and viewgraphs only.

Topics: COMPLEX SYSTEMS, ERROR ANALYSIS, MARKOV PROCESSES, MATHEMATICAL MODELS, RELIABILITY ANALYSIS,...

38
38

May 25, 2017
05/17

by
Hunt, Fern Y.

texts

#
eye 38

#
favorite 0

#
comment 0

Topics: Decomposition (Mathematics), Markov processes, Attractors (Mathematics)

The machine repair and adjustment process is one of the elements which characterizes the operations of a production system. In many cases this maintenance system can be described adequately by analytic models. This report derives some mathematical models which depict the steady-state performance of this service system. All the models are steady-state Markov models of a service system having a finite customer population with multiple, independent servers, each having a service time which is...

Topics: DTIC Archive, Schlenker, G J, ARMY ARMAMENT MUNITIONS AND CHEMICAL COMMAND ROCK ISLAND IL SYSTEMS...

This final report summarizes the publications from our research on stochastic network processes that represent the movement of discrete units in networks. Primary examples are the movement of parts and supplies in manufacturing plants and in distribution systems and the movement of data packets and telephone calls in computer and telecommunications networks. The distinguishing feature of our research was the emphasis on the next generation of intelligent networks that will be the backbone of...

Topics: DTIC Archive, Serfozo, Richard F., GEORGIA INST OF TECH ATLANTA SCHOOL OF INDUSTRIAL AND SYSTEMS...

A diffusion observation process is approximated by a Markov chain. The information obtained by observing the Markov chain is the same as that obtained by observing a related multivariate point process. Filtering and Zakai equations are obtained for multivariate point process observations. These involve Stieltjes integrals rather than Ito integrals with respect to Brownian motion, and so they provide robust formulae, that is, formulae which are continuous in the observation process. (kr)

Topics: DTIC Archive, Elliott, Robert J, ALBERTA UNIV EDMONTON DEPT OF STATISTICS AND APPLIED PROBABILITY,...

A discrete time multiaccess channel is considered where the outcome of a transmission is either idle, success, or collision, depending on the number of uses transmitting simultaneously. Messages involved in a collision must be retransmitted. An efficient access allocation policy is developed for the case where infinitely many sources generate traffic in a Poisson manner and can all observe the outcomes of the previous transmissions. Its rate of success is .488. Modifications are presented for...

Topics: DTIC Archive, Humblet, Pierre A, MASSACHUSETTS INST OF TECH CAMBRIDGE LAB FOR INFORMATION AND...

The meeting proceedings from this 6th International Conference contains the Technical Evaluation Report and 25 papers presented by 61 authors working for 28 organizations from 9 countries. This Symposium on Integrated Navigation Systems was held in St. Petersburg, Russia on 24 to 26 May 1999. It was jointly organized by the Central Scientific and Research Institute ELEKTROPRIBOR and the Systems Concepts and Integration Panel of the Research and Technology Organization of NATO. The papers...

Topics: DTIC Archive, NATO RESEARCH AND TECHNOLOGY ORGANIZATION NEUILLY-SUR-SEINE (FRANCE), *GLOBAL...

High speed data wireless networks in multipath environments suffer channel impairment from many sources such as thermal noise, path loss, shadowing, and fading. In particular, short-term fading caused by mobility imposes irreducible error floor bounds on system performance. We study the effect of fading on the performance of the widely used TCP/UDP protocol, and investigate how to improve TCP performance over fading channels. Our solutions target upcoming mobile wireless systems such as IEEE...

Topics: DTIC Archive, Dong, Xuanming, CALIFORNIA UNIV BERKELEY DEPT OF ELECTRICAL ENGINEERING AND COMPUTER...

Many real-world problems involve data that both have complex structures and uncertainty. Statistical relational learning (SRL) is an emerging area of research that addresses the problem of learning from these noisy structured/ relational data. Markov logic networks (MLNs), sets of weighted rstorder logic formulae, are a simple but powerful SRL formalism that generalizes both rst-order logic and Markov networks. MLNs have been successfully applied to a variety of real-world problems ranging from...

Topics: DTIC Archive, TEXAS UNIV AT AUSTIN, *MARKOV PROCESSES, *LOGIC, UNCERTAINTY, STRUCTURES, ACCURACY,...

A model to assess the value of improved information regarding the inventories, productions, exports, and imports of crop on a worldwide basis is discussed. A previously proposed model is interpreted in a stochastic control setting and the underlying assumptions of the model are revealed. In solving the stochastic optimization problem, the Markov programming approach is much more powerful and exact as compared to the dynamic programming-simulation approach of the original model. The convergence...

Topics: NASA Technical Reports Server (NTRS), AGRICULTURE, CROP INVENTORIES, ECONOMIC ANALYSIS, WHEAT,...

Markov logic is a highly expressive language recently introduced to specify the connectivity of a Markov network using first-order logic. While Markov logic is capable of constructing arbitrary first-order formulae over the data, the complexity of these formulae is often limited in practice because of the size and connectivity of the resulting network. In this paper, we present approximate inference and training methods that incrementally instantiate portions of the network as needed to enable...

Topics: DTIC Archive, Culotta, Aron, MASSACHUSETTS UNIV AMHERST DEPT OF COMPUTER SCIENCE, *MARKOV...

This is the final report for Classifying the Quantum Phases of Matter, FA8750-12-2-0308. Among other achievements, we made progress toward the following goals: (1) finding a classification of locally definable quantum states (those without symmetries or long - range entanglement), (2) elucidating the properties of three-dimensional quantum codes (in particular those which admit no string - like logical operators. (3) characterizing symmetry-protected fermionic phases, (4) proving the stability...

Topics: DTIC Archive, CALIFORNIA INST OF TECH PASADENA, *ALGEBRAIC TOPOLOGY, *QUANTUM ELECTRONICS,...

Recent world events have affected the rates at which the United States Army Reserve (USAR) recruits and retains enlisted members. As these rates fluctuate, it becomes difficult for the USAR to forecast its recruiting requirements. This thesis describes a statistical model and an associated software tool designed to provide precise forecasts of aggregate USAR enlisted personnel trends. In particular, the tool can assist in forecasting specific USAR enlisted end strength requirements using...

Topics: DTIC Archive, Ginther, Tricia A, NAVAL POSTGRADUATE SCHOOL MONTEREY CA, *MILITARY RESERVES, ARMY...

The antecedent precipitation index (API) is a useful indicator of soil moisture conditions for watershed runoff calculations and recent attempts to correlate this index with spaceborne microwave observations have been fairly successful. It is shown that the prognostic equation for soil moisture used in some of the atmospheric general circulation models together with Thornthwaite-Mather parameterization of actual evapotranspiration leads to API equations. The recession coefficient for API is...

Topics: NASA Technical Reports Server (NTRS), ATMOSPHERIC CIRCULATION, EVAPOTRANSPIRATION, PRECIPITATION...

Consider a discrete-time ergodic Markov chain on a finite state space S with stationary distribution pi. By simulating such a chain, it is possible to draw random samples from S that have distribution pi or nearly pi. This thesis treats some basic questions that arise when one wants to apply such a sampling method in a rigorous way. We begin by reviewing recently developed techniques for proving convergence bounds for Markov chains, and give some new convergence bounds for a number of chains...

Topics: DTIC Archive, Gangolli, Anil R., STANFORD UNIV CA DEPT OF COMPUTER SCIENCE, *ALGORITHMS, *MARKOV...

This is the last in a series of technical reports concerned with mathematical approaches to instructional sequence optimization in instructional systems. This paper deals with Markov decision processes where the true state of the system is not known with certainty. Hence the state of the system is characterized by a probability vector. Each action yields an expected reward, transforms the system to a new state and yields an observable outcome. One wishes to determine an action for each...

Topics: DTIC Archive, Wollmer, Richard D, UNIVERSITY OF SOUTHERN CALIFORNIA LOS ANGELES BEHAVIORAL...

The Standardized Letter of Recommendation (SLR), a 28-item form, was created by ETS to supplement the qualitative rating of graduate school applicants' nonacademic qualities with a quantitative approach. The purpose of this study was to evaluate the following psychometric properties of the SLR using the Rasch rating-scale model: dimensionality, reliability, item quality, and rating category effectiveness. Principal component and factor analyses were also conducted to examine the dimensionality...

Topics: ERIC Archive, Item Response Theory, Rating Scales, Data Analysis, Models, Letters (Correspondence),...

Defense planners must strive to develop and incorporate new, efficient procedures to allocate scarce resources in varied complex environments. We consider two discrete-time, discrete-space search effort allocation situations. Both involve the employment of an imperfect sensor, which is subject to both false-positive and false-negative errors. The area of interest, comprised of several disjoint area-cells, contains a single target of interest. In the first situation, the target moves according...

Topics: DTIC Archive, NAVAL POSTGRADUATE SCHOOL MONTEREY CA, *EMPLOYMENT, STOCHASTIC PROCESSES, DETECTORS,...

The application of a simple variable frame rate analysis to the RSRE Airborne Reconnaissance Mission system, a continuous speech recognition system based on phone-level hidden Markov models, is described. Results are presented which show that, using standard three state models, the addition of the variable frame rate analysis results in considerably improved performance, which is close to that obtained using simple duration sensitive models. Keywords: Great Britain.

Topics: DTIC Archive, Ponting, K M, ROYAL SIGNALS AND RADAR ESTABLISHMENT MALVERN (UNITED KINGDOM), *SPEECH...

73
73

Aug 27, 2019
08/19

by
Howard, Ronald A

texts

#
eye 73

#
favorite 2

#
comment 0

136 p. : 24 cm

Topics: Dynamic programming, Markov processes