(************** Content-type: application/mathematica ************** CreatedBy='Mathematica 5.0' Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). NOTE: If you modify the data for this notebook not in a Mathematica- compatible application, you must delete the line below containing the word CacheID, otherwise Mathematica-compatible applications may try to use invalid cache data. For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 295842, 5053]*) (*NotebookOutlinePosition[ 375127, 8049]*) (* CellTagsIndexPosition[ 375083, 8045]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["Further (Artificial?) Thoughts", "Title"], Cell["Lesson 10", "Subtitle"], Cell[CellGroupData[{ Cell["Introduction", "SectionFirst"], Cell[TextData[{ "As we discussed ", StyleBox["waaay", FontSlant->"Italic"], " back in Lesson 1, this course couldn't possibly hope to cover every facet \ of artificial neural networks. The even broader category of ", StyleBox["computational neuroscience", FontSlant->"Italic"], " has even more to contribute to the our subject, as do cognitive science, \ computer science, linguistics, even philosophy." }], "Text"], Cell[TextData[{ "This course is designed to ", StyleBox["introduce", FontSlant->"Italic"], " the interested to the ideas and limitations of artificial neural \ networks. We have taken a look at how the physical and physiological systems \ can be mimicked with mathematics, how we might be able to create machines \ that appear to do the same thing that humans do using similar mechanisms. \ These sorts of things allow us to further uncover the processes and materials \ that make 'beings' beings. " }], "Text"], Cell["\<\ Yet, of course, there are countless more models and systems for \ doing this.\ \>", "Text"], Cell["\<\ Our main focus over the past few lessons has been the \ backpropigation method of learning. This system, based on what is \ fundamentally behaviorism (reward the network when it gets a pattern correct, \ punish / adjust it when it doesn't). There are other network models out \ there, each attempting to capture some facet of the processes of the brain. \ \ \>", "Text"], Cell["\<\ Furthermore, there are attempts at integrating these models to come \ up with a self-contained understanding of the brain's processes. Will this \ ever succeed? Only time will tell. When this author's paternal grandfather \ was born humankind had yet to successfully attempt controlled flight. This \ same man lived to see the commercial jet, moon landings, the Space Shuttle, \ and various unmanned encounters with other planets. I would love to hope that \ in the next 100 years we'll find this whole notion of simulation as quaint as \ we find the Wright Brothers' biplanes. \ \>", "Text"] }, Open ]], Cell[CellGroupData[{ Cell["Other Neural Models", "Section"], Cell["\<\ Here is a brief summary of other neural network models along with \ some brief notes about each.\ \>", "Text"], Cell[CellGroupData[{ Cell["Functional Link Networks", "Subsection"], Cell[TextData[{ "Functional link networks (FLNs) replace some or all of the connections \ between nodes (i.e. ", StyleBox["links", FontSlant->"Italic"], ") with more complicated processing than the straight transmission of the \ link strength and multiplication of weights. 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", "SB"], "A functional link network example. Other functional networks combine \ multiple inputs (i.e. ", Cell[BoxData[ \(TraditionalForm\`\(\(f\_i\)\((\)\(in\_1, in\_2, \[Ellipsis], in\_n\)\)\)]], ") ) and feed their output forward. This is how our XOR problem was solved \ earlier, with the addition of a ", Cell[BoxData[ \(TraditionalForm\`\(\(f\)\((\)\)\)]], Cell[BoxData[ \(TraditionalForm\`\(\(in\_1, in\_2\)\()\)\)\)]], " such that ", Cell[BoxData[ \(TraditionalForm\`\(in\_1\) in\_2 = 1\)]] }], "NumberedFigureCaption"], Cell["\<\ Our original solution to the XOR problem was a sort of FLN. The \ third input was formed by directly multiplying the two inputs and feeding \ them to the integration node.\ \>", "Text"], Cell[TextData[{ "Here is an interesting application of FLNs to ", ButtonBox["power grids and distribution of power.", ButtonData:>{ URL[ "http://www.iitk.ac.in/ee/power/nn.shtml"], None}, ButtonStyle->"Hyperlink"] }], "Text"] }, Open ]], Cell[CellGroupData[{ Cell["Boltzman Machines and Hopfield Networks", "Subsection"], Cell[TextData[{ "Hopfield applied", StyleBox[" ", FontSlant->"Italic"], StyleBox[ButtonBox["dynamical system theory", ButtonData:>{ URL[ "http://mathworld.wolfram.com/DynamicalSystem.html"], None}, ButtonStyle->"Hyperlink"], FontSlant->"Italic"], " to the problem of the non-linearity in neural networks. 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The goal of such a network is the minimization of some energy \ function, in the case of what we have talked about so far, the minimization \ of error or difference between input patterns and their correct \ outputs.\ \>", "Text"], Cell[TextData[{ "Boltzman machines are an extension of the basic Hopfield network that \ uses", ButtonBox[" simulated annealing", ButtonData:>{ URL[ "http://mathworld.wolfram.com/SimulatedAnnealing.html"], None}, ButtonStyle->"Hyperlink"], " to find a solution to the minimization problem." }], "Text"], Cell[TextData[{ "These networks have been extensively studied and expanded upon by ", ButtonBox["Stephen Grossberg", ButtonData:>{ URL[ "http://cns.bu.edu/Profiles/Grossberg/"], None}, ButtonStyle->"Hyperlink"], "." }], "Text"] }, Open ]], Cell[CellGroupData[{ Cell["Bayesian and Probabilistic Networks", "Subsection"], Cell["\<\ The annealing and attractor based ideas mentioned above come from a \ class of networks known as probabilistic networks. 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", "SB"], "Network with feedback. In this example the output unit feeds back to the \ hidden units. There are countless ways to actually execute feedback. this is \ but one example." }], "NumberedFigureCaption"] }, Open ]], Cell[CellGroupData[{ Cell["Adaptive Resonance Networks", "Subsection"], Cell["\<\ One thing that may bother you about the backpropigation that we \ have discussed thus far is that it can't account for new information. When \ our network mis-identified Freud as Sun Ra we couldn't correct it so that \ mistake wouldn't be made again. There is a fixed learn-test dichotomy. \ Adaptive resonance theory attempts to break this down by allowing the network \ to learning on-the-fly. ART uses several of the aforementioned concepts, \ including feedback / recurrence.\ \>", "Text"], Cell["\<\ There are several members of the ART family, the foundation being \ known as ART-1.\ \>", "Text"], Cell[TextData[{ "Daniel Tauritz has an extensive 'clearinghouse' of information on ART and \ its variants at ", ButtonBox["http://web.umr.edu/~tauritzd/art/", ButtonData:>{ URL[ "http://web.umr.edu/~tauritzd/art/"], None}, ButtonStyle->"Hyperlink"] }], "Text"] }, Open ]], Cell[CellGroupData[{ Cell["Brain State in a Box (BSB)", "Subsection"], Cell[TextData[{ "The BSB is ", ButtonBox["James Anderson's", ButtonData:>{ URL[ "http://www.cog.brown.edu/People/anderson/People_Anderson.htm"], None}, ButtonStyle->"Hyperlink"], " nonlinear, associative, energy minimizing network. " }], "Text"], Cell["\<\ This influential model integrates several ideas from different \ approaches to neural networks (Boltzman/Hopfield, Feedback, Associative \ learning) into a single model.\ \>", "Text"], Cell[TextData[{ "Alas, Anderson doesn't have a lot about BSB on his current Brown website, \ but there are a few ", ButtonBox["web resources", ButtonData:>{ URL[ "http://www.psychology.mcmaster.ca/3W03/nlam.html"], None}, ButtonStyle->"Hyperlink"], " available." }], "Text"], Cell[TextData[{ StyleBox["Interestingly, the musical group ", FontSlant->"Plain"], "Neural Network", StyleBox[" released a CD entitled ", FontSlant->"Plain"], ButtonBox["Brain-state-in-a-box ", ButtonData:>{ URL[ "http://www.groove.nl/cd/4/40648.html"], None}, ButtonStyle->"Hyperlink"], StyleBox["back in 1994. ", FontSlant->"Plain"] }], "Text", FontSlant->"Italic"] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell["Other Useful Concepts", "Section"], Cell[CellGroupData[{ Cell["Computational Learning Theory", "Subsection"], Cell["\<\ In the domain of computer science neural networks have invaded / \ influenced the field of computational learning theory. CoLT is fundamentally \ about systems that make predictions about the future based on past \ experiences.\ \>", "Text"], Cell["\<\ You can probably easily see how artificial neural networks fit into \ this field nicely.\ \>", "Text"], Cell[TextData[{ "Scholars of CoLT have established ", ButtonBox["http://www.learningtheory.org/", ButtonData:>{ URL[ "http://www.learningtheory.org/"], None}, ButtonStyle->"Hyperlink"], " as one of their gathering places." }], "Text"] }, Open ]], Cell[CellGroupData[{ Cell["Support Vector Machines", "Subsection"], Cell[TextData[{ "One currently 'hot' topic in learning and neural networks are so-called\n\ ", StyleBox["support vector machines. ", FontSlant->"Italic"], "SVMs are an offshoot of kernel theory, CoLT and their ilk." }], "Text"], Cell[TextData[{ "Propaganda can be found at ", ButtonBox["http://www.support-vector.net/", ButtonData:>{ URL[ "http://www.support-vector.net/"], None}, ButtonStyle->"Hyperlink"], " and ", ButtonBox["http://www.kernel-machines.org/", ButtonData:>{ URL[ "http://www.kernel-machines.org/"], None}, ButtonStyle->"Hyperlink"] }], "Text"] }, Open ]], Cell[CellGroupData[{ Cell["Fuzzy Systems", "Subsection"], Cell["\<\ Fuzzy systems are closely related to the probabilistic systems \ mentioned above. The general idea is to use statistical information about the \ world to make not-quite-binary decisions. Instead of the typical logical \ 'YES' and 'NO' answers we use a confidence level, i.e. how sure are we?\ \>", \ "Text"], Cell[TextData[{ "You can see a hint of this sort of thinking in the Sun Ra classifies \ presented previously (it was about ", Cell[BoxData[ \(TraditionalForm\`p = 0.67\)]], " sure that Freud was Sun Ra). " }], "Text"], Cell[TextData[{ "The International Fuzzy Systems Association has a web presence at ", ButtonBox["http://www.pa.info.mie-u.ac.jp/~furu/ifsa/", ButtonData:>{ URL[ "http://www.pa.info.mie-u.ac.jp/~furu/ifsa/"], None}, ButtonStyle->"Hyperlink"] }], "Text"] }, Open ]], Cell[CellGroupData[{ Cell["Evolutionary Systems", "Subsection"], Cell["\<\ Evolutionary systems are time-varying systems whose configuration \ or state changes over time, usually along the lines of traditional genetic \ change in living beings. \ \>", "Text"], Cell[TextData[{ "Whole fields have developed around ", StyleBox["genetic algorithms", FontSlant->"Italic"], " and ", StyleBox["genetic programming", FontSlant->"Italic"], ". The basic idea revolves around representing a system as genetic \ material, assigning a fitness (c.f. how well does this representation solve a \ problem or match a pattern) to the phenotype produced by that material, and \ mating between representations that are considered most fit. Their offspring \ are then subjected to the same process until a desired average level of \ fitness is reached. This population can now 'solve' the problem presented by \ the representation." }], "Text"], Cell[TextData[{ "For years Alan Meyrowitz has maintained the Genetic Algorithm Archive at \ ", ButtonBox["http://www.aic.nrl.navy.mil/galist/", ButtonData:>{ URL[ "http://www.aic.nrl.navy.mil/galist/"], None}, ButtonStyle->"Hyperlink"], ". It is an excellent collection if references and tutorials on the \ subject." }], "Text"] }, Open ]], Cell[CellGroupData[{ Cell["Neuroinformatics", "Subsection"], Cell[TextData[{ "Finally, there is a movement on to integrate across the wide range of \ modelling, imaging, and physiological data about the brain. This nascent \ field, ", StyleBox["neuroinformatics", FontSlant->"Italic"], " (see ", StyleBox["bioinformatics", FontSlant->"Italic"], " for proper inspiration) is attempting to integrate across the various \ scales (single units to whole brains and behavior) and vast amounts and types \ of data about the brain." }], "Text"], Cell[TextData[{ "As you have seen in this module, we ", StyleBox["can", FontSlant->"Italic"], " simulate the electrochemical processes of a neuron quite accurately but \ we make assumptions and simplifications when we move 'up' in scale to neural \ networks. When we move further up the chain to, say, assemblies of neural \ networks and function collections of these assemblies further assumptions \ must be made (hopefully) informed by our knowledge about the lower levels and \ what is and isn't really important at the higher levels." }], "Text"], Cell[TextData[{ "There are groups dedicated to this field,", ButtonBox[" http://www.neuroinf.org/", ButtonData:>{ FrontEnd`FileName[ {" http:", "", "www.neuroinf.org"}, CharacterEncoding -> "MacintoshRoman"], None}, ButtonStyle->"Hyperlink"], " for example, institutes ", ButtonBox["http://www.ini.unizh.ch/,", ButtonData:>{ URL[ "http://www.ini.unizh.ch/,"], None}, ButtonStyle->"Hyperlink"], " and even the NIH has gotten into fray at ", ButtonBox["http://www.nimh.nih.gov/neuroinformatics/index.cfm", ButtonData:>{ URL[ "http://www.nimh.nih.gov/neuroinformatics/index.cfm"], None}, ButtonStyle->"Hyperlink"], "." }], "Text"], Cell[TextData[{ "One promising group is at USC under the guidance of pioneering \ researcher ", ButtonBox["Michael Arbib", ButtonData:>{ URL[ "http://www.usc.edu/dept/nbio/ngp/Faculty/arbib-ma.shtml"], None}, ButtonStyle->"Hyperlink"], "." }], "Text"], Cell[TextData[{ "Of their work, the ", ButtonBox["Neural Simulation Language", ButtonData:>{ URL[ "http://nsl.usc.edu/nsl/Homepage.php"], None}, ButtonStyle->"Hyperlink"], " seems like an exciting step into the future, attempting to move beyond \ simple weights and matrices to a full description of systems and their \ connectivity. Personally, I feel like this is the 'right direction' for the \ future of understanding and simulating the brain." }], "Text"] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell["List of References", "Section"], Cell["\<\ This is a somewhat annotated list of items I have used in \ preparation of this module. \ \>", "Text"], Cell[TextData[{ "\[ThickSpace]\[MediumSpace][", CounterBox["Reference"], "]\[ThickSpace]\[MediumSpace]Anderson, JA, 1995,", StyleBox["An Introduction to Neural Networks, ", FontSlant->"Italic"], "MIT Press, Cambridge MA." }], "Reference"], Cell[TextData[{ "An ", StyleBox["excellent", FontSlant->"Italic"], " introductory text. Has one of the best set of very intuitive chapters on \ linear algebra that I have ever witnessed. " }], "SmallText"], Cell[TextData[{ "\[ThickSpace]\[MediumSpace][", CounterBox["Reference"], "]\[ThickSpace]\[MediumSpace]", "Arbib, MA, 1989, ", StyleBox["The Metaphorical Brain 2, ", FontSlant->"Italic"], "Wiley, New York." }], "Reference"], Cell[TextData[{ "One of the books that got me interested in modelling the brain in the \ first place. Historic information and good ", StyleBox["big picture.", FontSlant->"Italic"] }], "SmallText"], Cell[TextData[{ "\[ThickSpace]\[MediumSpace][", CounterBox["Reference"], "]\[ThickSpace]\[MediumSpace]Chen, CH, 1996, ", StyleBox["Fuzzy Logic and Neural Network Handbook,", FontSlant->"Italic"], "McGraw-Hill, New York.", " " }], "Reference"], Cell["\<\ A collection of useful techniques, very applied, for neural \ networks, sensing and recognition systems.\ \>", "SmallText"], Cell[TextData[{ "\[ThickSpace]\[MediumSpace][", CounterBox["Reference"], "]\[ThickSpace]\[MediumSpace]Caudill, M and Butler, C, 1990, ", StyleBox["Naturally Intelligent Systems, ", FontSlant->"Italic"], "MIT Press, Cambridge MA." }], "Reference"], Cell["\<\ Another big picture sort of book. Good to draw in the \ non-specialist.\ \>", "SmallText"], Cell[TextData[{ "\[ThickSpace]\[MediumSpace][", CounterBox["Reference"], "]\[ThickSpace]\[MediumSpace]", "Fodor, JA, 2000, ", StyleBox["The Mind Doesn't Work That Way, ", FontSlant->"Italic"], "MIT Press, Cambridge." }], "Reference"], Cell[TextData[{ "Jerry's books are usually a tough read, this one isn't too different. It \ is a response to Pinker's ", StyleBox["How the Mind Works.", FontSlant->"Italic"], " I'm partial to Fodor's argument here, however." }], "SmallText"], Cell[TextData[{ "\[ThickSpace]\[MediumSpace][", CounterBox["Reference"], "]\[ThickSpace]\[MediumSpace]", "Freeman, JA, 1994, ", StyleBox["Simulating Neural Networks with Mathematica, ", FontSlant->"Italic"], "Addison-Wesley, Reading MA." }], "Reference"], Cell["\<\ Primary source of inspiration for the programming set forth in this \ module. Sadly, it is out of print.\ \>", "SmallText"], Cell[TextData[{ "\[ThickSpace]\[MediumSpace][", CounterBox["Reference"], "]\[ThickSpace]Hebb, D,. 1949, ", StyleBox["The Organization of Behaviour, ", FontSlant->"Italic"], "Wiley, New York." }], "Reference"], Cell["Primary source on reinforcement.", "SmallText"], Cell[TextData[{ "\[ThickSpace]\[MediumSpace][", CounterBox["Reference"], "]\[ThickSpace]\[MediumSpace]Hothersall, D, 1995, ", StyleBox["History of Psychology, ", FontSlant->"Italic"], "McGraw Hill, New York." }], "Reference"], Cell["\<\ I am a big fan of history. I took a class from Hothersall and it \ was, honestly, the best in my entire college career. It was also my last, \ leaving a good taste for teaching and learning. The book is well written and \ contains wonderful narrative on the history of what it is that we do.\ \>", \ "SmallText"], Cell[TextData[{ "\[ThickSpace]\[MediumSpace][", CounterBox["Reference"], "]\[ThickSpace]\[MediumSpace]Kandel, ER, Schwartz, JH, and Jessell, TM, \ 1991, ", StyleBox["Principles of Neural Science, ", FontSlant->"Italic"], "Elsevier, New York." }], "Reference"], Cell[TextData[{ "The", StyleBox[" reference tome for neural science.", FontSlant->"Plain"] }], "SmallText", FontSlant->"Italic"], Cell[TextData[{ "\[ThickSpace]\[MediumSpace][", CounterBox["Reference"], "]\[ThickSpace]\[MediumSpace]Levitan, IB and Kaczmarek, LK, 2002, ", StyleBox["The Neuron, ", FontSlant->"Italic"], "Oxford University Press, Cambridge." }], "Reference"], Cell["\<\ A NYC phonebook worth of information on the cell and molecular \ biology of the neuron.\ \>", "SmallText"], Cell[TextData[{ "\[ThickSpace]\[MediumSpace][", CounterBox["Reference"], "]\[ThickSpace]\[MediumSpace]McCulloch, WS, Pitts, W, 1943, '", ButtonBox["A logical calculus of the ideas immanent in nervous activity", ButtonData:>{ FrontEnd`FileName[ {"Reprints"}, "McCullochPitts43.pdf", CharacterEncoding -> "MacintoshRoman"], None}, ButtonStyle->"Hyperlink"], "', ", StyleBox["Bulletin of Mathematical Biophysics, ", FontSlant->"Italic"], "vol. 5, pp 115", StyleBox["\[Dash]", FontSize->8], "133." }], "Reference"], Cell["Primary source, the beginning of this insanity.", "SmallText"], Cell[TextData[{ "\[ThickSpace]\[MediumSpace][", CounterBox["Reference"], "]\[ThickSpace]\[MediumSpace]Minsky, ML, Papert, SA, 1969. ", StyleBox["Perceptrons: An Introduction to Computational Geometry, ", FontSlant->"Italic"], "MIT Press, Cambridge MA." }], "Reference"], Cell["\<\ The book that almost shut the whole enterprise of neural networks \ down. In the revised edition they claim to the contrary, but there were some \ powerful politics taking place.\ \>", "SmallText"], Cell[TextData[{ "\[ThickSpace]\[MediumSpace][", CounterBox["Reference"], "]\[ThickSpace]\[MediumSpace]Pinker, S, 1997, ", StyleBox["How the Mind Works, ", FontSlant->"Italic"], "WW Norton, New York." }], "Reference"], Cell["\<\ I'm skeptical. But it is, at least, a well structured theory. \ \ \>", "SmallText"], Cell[TextData[{ "\[ThickSpace]\[MediumSpace][", CounterBox["Reference"], "] \[ThickSpace]Pollack, JB, 1989. 'No harm intended', ", StyleBox["Journal of Mathematical Psychology, ", FontSlant->"Italic"], "vol. 33, pp 358\[Dash]365." }], "Reference"], Cell[TextData[{ "Jordan's review of the revised ", StyleBox["Perceptrons.", FontSlant->"Italic"], " Good for understanding the politics behind the science." }], "SmallText"], Cell[TextData[{ "\[ThickSpace]\[MediumSpace][", CounterBox["Reference"], "]\[ThickSpace]\[MediumSpace]Pratt, W, 1978, ", StyleBox["Digital Image Processing,", FontSlant->"Italic"], " John Wiley & Sons, New York." }], "Reference"], Cell["A classic reference tome on image processing.", "SmallText"], Cell[TextData[{ "\[ThickSpace]\[MediumSpace][", CounterBox["Reference"], "]\[ThickSpace]\[MediumSpace]Rosenblatt, F, 1959, \[OpenCurlyQuote]Two \ theorems of statistical separability in the perceptrton\[CloseCurlyQuote], ", StyleBox["Proceedings of a Symposium on the Mechanization of Thought \ Processes, ", FontSlant->"Italic"], "Her Majesty's Stationary Office, London, pp. 421\[Dash]456." }], "Reference"], Cell["Primary source on the perceptron.", "SmallText"], Cell[TextData[{ "\[ThickSpace]\[MediumSpace][", CounterBox["Reference"], "]\[ThickSpace]\[MediumSpace]Rosenblatt, F, 1962, ", StyleBox["Principles of Neurodynamics, ", FontSlant->"Italic"], "Spartan Books, New York." }], "Reference"], Cell["Ibid.", "SmallText"], Cell[TextData[{ "\[ThickSpace]\[MediumSpace][", CounterBox["Reference"], "]\[ThickSpace]Rumelhart, DE and McClelland JL, 1988, ", StyleBox["Parallel Distributed Processing, ", FontSlant->"Italic"], "MIT Press, Cambridge MA." }], "Reference"], Cell["\<\ A classic two-volume set on PDP that all of the neuroscientists and \ cognitive psychologists of my era used to get an introduction to the field. \ \ \>", "SmallText"], Cell[TextData[{ "\[ThickSpace]\[MediumSpace][", CounterBox["Reference"], "]\[ThickSpace]\[MediumSpace]Swanson, LW, 2003, ", StyleBox["Brain Architecture, ", FontSlant->"Italic"], "Oxford University Press, Cambridge." }], "Reference"], Cell["\<\ I like this really-big-picture book. I've always been a bit uneasy \ about the low-level of analysis that neural networks are based in. Here, \ Swanson tries to get us to think bigger. \ \>", "SmallText"], Cell[TextData[{ "\[ThickSpace]\[MediumSpace][", CounterBox["Reference"], "]\[ThickSpace]Trappenberg, TP, 2002, ", StyleBox["Fundamentals of Computational Neuroscience, ", FontSlant->"Italic"], "Oxford University Press, Cambridge." }], "Reference"], Cell["\<\ A good textbook looking at the situation from modelling biology to \ process. An inspiration for the early concepts in this module. \ \>", \ "SmallText"] }, Open ]], Cell[CellGroupData[{ Cell["Acknowledgments", "Section"], Cell["\<\ As is true with all of my work, this module would not have been \ completed without the assistance of dozens of others whose insight and \ willingness will be appreciated, by me, for the remainder of time. Omissions \ here are due to my own fading neural network and will be compensated for by \ excessive guilt and suffering. Despite the apparent diffusion of \ responsibility that a list such as this suggests, all errors are my sole \ responsibility.\ \>", "Text"], Cell["\<\ The following folks deserve thanks for allowing their ears to be \ bent, books to be borrowed, work to be examined, and for providing knowledge, \ food, and general good cheer during my formative years as a scholar and \ throughout the process of writing this module: Beth Du Pont, Violet Phillips, \ Mike Torello, Denise Evert, Greg Goodwin, Brett Fajen, Catharine Carlin, \ Jordan Pollack, Jiajie Zhang, Jack Nasar, The Ohio Sate University Vision \ Lab, Skidmore College Vision Lab, and my students.\ \>", "Text"], Cell["For the girls.", "Text"] }, Open ]], Cell[CellGroupData[{ Cell["Revision History", "Section"], Cell["\<\ \[ThickSpace]\[MediumSpace]1.\[ThickSpace]March 2004 - initial \ version\ \>", "BeginNumberedList"], Cell[TextData[{ "\[ThickSpace]\[MediumSpace]", CounterBox["List"], ".\[ThickSpace]\[MediumSpace]August 2004 - ", "Second release to CSAC", " " }], "NumberedList"] }, Open ]] }, Open ]] }, FrontEndVersion->"5.0 for Macintosh", ScreenRectangle->{{0, 1280}, {0, 927}}, AutoGeneratedPackage->None, WindowSize->{851, 720}, WindowMargins->{{Automatic, 0}, {Automatic, 0}}, PrintingCopies->1, PrintingPageRange->{1, Automatic}, CellLabelAutoDelete->True, SpellingDictionaries->{"CorrectWords"->{ "Monge", "lightsource", "Delaunay", "Tufte", "Skidmore", "Saratoga", "skidmore", "edu", "scratchpad", "incremented", "geeks", "That'll", "Poof", "D'oh", "backquotes", "namespace", "hyperlinked", "jpg", "dat", "Keck", "Battelle", "coursework", "mathworld", "com", "Websites", "Pixar", "electro", "axons", "photorecptors", "Hodgkin", "Huxley", "Fodor", "Hothersall", "Kandel", "Schwartz", "Jessell", "Elsevier", "Crain", "Crain's", "Arbib", "Wiley", "Perceptron", "Computationally", "Rosenblat", "Perceptrons", "Rosenblat's", "perceptron", "Adaline", "Heaviside", "jibberjabber", "Notationally", "thresholding", "js", "Rosenblatt", "Neurodynamics", "Minsky", "Papert's", "Papert", "adaline", "Hebb", "associationistic", "Hebbian", "thresholded", "letterforms", "isa", "ts", "sigmoidal", "sig", "dd", "vis", "waaay", "backpropigation", "Ns", "Boltzman", "Hopfield", "timecourse", "Grossberg", "nondeterminism", "Bayes'", "Tauritz", "umr", "tauritzd", "website", "learningtheory", "org", "Ra", "mie", "furu", "ifsa", "Meyrowitz", "aic", "nrl", "galist", "neuroinf", "ini", "unizh", "ch", "nimh", "nih", "cfm", "Chen", "Mc", "Graw", "Caudill", "Fodor's", "Behaviour", "Levitan", "Kaczmarek", "phonebook", "Culloch", "Pitts", "vol", "pp", "Pratt", "perceptrton\[CloseCurlyQuote]", "Ibid", "Swanson", "Trappenberg", "Du", "Pont", "Torello", "Goodwin", "Fajen", "Carlin", "Jiajie", "Zhang", "Nasar"}}, Magnification->1.5, StyleDefinitions -> Notebook[{ Cell[CellGroupData[{ Cell[TextData[{ "Style Definitions for \n", StyleBox["Keck Project", FontSlant->"Italic"] }], "Subtitle", CellMargins->{{0, Inherited}, {Inherited, 0}}, CellFrameMargins->{{20, 4}, {8, 20}}, FontSize->36, FontWeight->"Bold", FontColor->GrayLevel[1], Background->GrayLevel[0]], Cell["\<\ fp borrowed largely from his favorite, v8.2, TMJv4Style.nb with mathematica 4.0; 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CellGroupingRules->{"SectionGrouping", 50}, PageBreakBelow->False, CounterIncrements->"Subsection", CounterAssignments->{{"Subsubsection", 0}}, StyleMenuListing->None, FontFamily->"Helvetica", FontSize->14, FontWeight->"Bold"], Cell[StyleData["SubsectionNoSpaceNoDingbat", "Presentation"]], Cell[StyleData["SubsectionNoSpaceNoDingbat", "HTML"], CellMargins->{{54, 24}, {2, 2}}, FontSize->12], Cell[StyleData["SubsectionNoSpaceNoDingbat", "Printout"], CellMargins->{{72, 72}, {2, 2}}, FontSize->10] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["SubsubsectionNoDingbat"], CellMargins->{{54, 25}, {6, 20}}, CellGroupingRules->{"SectionGrouping", 60}, PageBreakBelow->False, CounterIncrements->"Subsubsection", StyleMenuListing->None, FontFamily->"Helvetica", FontSize->12, FontWeight->"Bold"], Cell[StyleData["SubsubsectionNoDingbat", "Presentation"]], Cell[StyleData["SubsubsectionNoDingbat", "HTML"], CellMargins->{{54, 24}, {Inherited, Inherited}}, FontSize->10], Cell[StyleData["SubsubsectionNoDingbat", "Printout"], CellMargins->{{72, 72}, {-4, 2}}, FontSize->9, FontSlant->"Oblique"] }, Closed]] }, Open ]], Cell[CellGroupData[{ Cell["Styles for Body Text", "Section", CellFrame->False, CellDingbat->None, ShowCellBracket->True, CellMargins->{{0, 0}, {10, 40}}, CellFrameMargins->{{20, 4}, {8, 8}}, FontColor->GrayLevel[1], Background->RGBColor[0.269902, 0.558434, 0.715618]], Cell[CellGroupData[{ Cell[StyleData["Text"], CellMargins->{{54, 24}, {Inherited, Inherited}}, LineSpacing->{1, 4}, CounterIncrements->"Text", FontFamily->"Times", FontSize->12], Cell[StyleData["Text", "Presentation"], FontSize->14], Cell[StyleData["Text", "HTML"], CellMargins->{{54, 24}, {Inherited, 0}}, LineSpacing->{1, 3}, FontSize->10], Cell[StyleData["Text", "Printout"], CellMargins->{{72, 72}, {2, 4}}, LineSpacing->{0, 12}, FontSize->10] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["SmallText"], CellFrame->{{0, 0}, {0.5, 0}}, CellMargins->{{54, 24}, {Inherited, Inherited}}, LineSpacing->{1, 4}, CounterIncrements->"SmallText", FontFamily->"Times", FontSize->10], Cell[StyleData["SmallText", "Presentation"], CellMargins->{{54, 24}, {Inherited, Inherited}}, FontSize->12], Cell[StyleData["SmallText", "HTML"], CellMargins->{{54, 24}, {Inherited, 0}}, LineSpacing->{1, 3}, FontSize->9], Cell[StyleData["SmallText", "Printout"], CellMargins->{{72, 72}, {2, 4}}, LineSpacing->{0, 11}, FontSize->9] }, Open ]], Cell["\<\ Quote should be used when displaying text previously published elsewhere. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["Quote"], CellMargins->{{70, 40}, {Inherited, Inherited}}, LineSpacing->{1, 3}, FontFamily->"Times", FontSize->12], Cell[StyleData["Quote", "Presentation"], FontSize->14], Cell[StyleData["Quote", "HTML"], CellMargins->{{70, 40}, {Inherited, Inherited}}, FontSize->10], Cell[StyleData["Quote", "Printout"], CellMargins->{{96, 96}, {2, 4}}, LineSpacing->{0, 12}, FontSize->10] }, Closed]] }, Open ]], Cell[CellGroupData[{ Cell["Styles for Input, Output, and Graphics", "Section", CellFrame->False, CellDingbat->None, ShowCellBracket->True, CellMargins->{{0, 0}, {10, 40}}, CellFrameMargins->{{20, 4}, {8, 8}}, FontColor->GrayLevel[1], Background->RGBColor[0.269902, 0.558434, 0.715618]], Cell["\<\ The cells in this section define styles used for input and output to the kernel. Be careful when modifying, renaming, or removing these styles, because the front end associates special meanings with these style names. \ \>", "Text"], Cell[TextData[{ "Input cell style to be used for ", StyleBox["Mathematica", FontSlant->"Italic"], " input statements that are followed by either Output or GraphicsOnly \ cell styles. Sets ", "DefaultFormatType->DefaultInputFormatType." }], "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["Input"], CellFrame->{{0.25, 0.25}, {0, 0.25}}, CellMargins->{{54, 24}, {-1, 10}}, Evaluatable->True, CellGroupingRules->"InputGrouping", CellHorizontalScrolling->True, PageBreakWithin->False, GroupPageBreakWithin->False, CellLabelAutoDelete->True, CellLabelMargins->{{23, Inherited}, {Inherited, Inherited}}, DefaultFormatType->DefaultInputFormatType, AutoItalicWords->{}, ShowStringCharacters->True, NumberMarks->True, CounterIncrements->"Input", FontFamily->"Courier", FontSize->12, FontWeight->"Bold", Background->RGBColor[0.819455, 0.804242, 0.663142]], Cell[StyleData["Input", "Presentation"], FontSize->14, Background->RGBColor[0.819455, 0.804242, 0.663142]], Cell[StyleData["Input", "HTML"], CellFrame->False, CellMargins->{{0, 0}, {10, 10}}, Background->None], Cell[StyleData["Input", "Printout"], CellFrame->False, CellMargins->{{96, 72}, {2, 4}}, PrivateEvaluationOptions->{"OutputFormPageWidth"->342}, CellFrameMargins->False, LineSpacing->{1.25, 0}, FontSize->9, Background->None] }, Closed]], Cell[TextData[{ "InputOnly cell style to be used for ", StyleBox["Mathematica", FontSlant->"Italic"], " input statements that produce no output or graphic. See Program cell \ style for presenting segments of code that do not evaluate." }], "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["InputOnly"], CellFrame->True, CellMargins->{{54, 24}, {15, 10}}, Evaluatable->True, CellGroupingRules->"InputGrouping", CellHorizontalScrolling->True, PageBreakWithin->False, GroupPageBreakWithin->False, CellLabelAutoDelete->True, CellLabelMargins->{{23, Inherited}, {Inherited, Inherited}}, DefaultFormatType->DefaultInputFormatType, AutoItalicWords->{}, ShowStringCharacters->True, NumberMarks->True, CounterIncrements->"Input", FontFamily->"Courier", FontSize->12, FontWeight->"Bold", Background->RGBColor[0.819455, 0.804242, 0.663142]], Cell[StyleData["InputOnly", "Presentation"], CellFrameMargins->8, FontSize->14, Background->RGBColor[0.819455, 0.804242, 0.663142]], Cell[StyleData["InputOnly", "HTML"], CellFrame->False, CellMargins->{{0, 0}, {10, 10}}, CellFrameMargins->8, Background->None], Cell[StyleData["InputOnly", "Printout"], CellFrame->False, CellMargins->{{96, 72}, {2, 4}}, PrivateEvaluationOptions->{"OutputFormPageWidth"->342}, LineSpacing->{1.25, 0}, FontSize->9, Background->None] }, Closed]], Cell[TextData[{ "Output cell style is usually generated by the ", StyleBox["Mathematica", FontSlant->"Italic"], " kernel. To follow Input cell style. Sets \ DefaultFormatType->DefaultOutputFormatType." }], "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["Output"], CellFrame->{{0.25, 0.25}, {0.25, 0}}, CellMargins->{{54, 24}, {10, 0}}, CellEditDuplicate->True, CellGroupingRules->"OutputGrouping", CellHorizontalScrolling->True, PageBreakWithin->False, GroupPageBreakWithin->False, GeneratedCell->True, CellAutoOverwrite->True, CellLabelAutoDelete->True, CellLabelMargins->{{23, Inherited}, {Inherited, Inherited}}, DefaultFormatType->DefaultOutputFormatType, AutoItalicWords->{}, CounterIncrements->"Output", StyleMenuListing->None, FontFamily->"Courier", FontSize->12, Background->RGBColor[0.819455, 0.804242, 0.663142]], Cell[StyleData["Output", "Presentation"], FontSize->14, Background->RGBColor[0.819455, 0.804242, 0.663142]], Cell[StyleData["Output", "HTML"], CellFrame->False, CellMargins->{{0, 0}, {10, 0}}, Background->None], Cell[StyleData["Output", "Printout"], CellFrame->False, CellMargins->{{96, 72}, {2, 4}}, CellLabelMargins->{{72, Inherited}, {Inherited, Inherited}}, LineSpacing->{1.25, 0}, FontSize->9, Background->None] }, Closed]], Cell[TextData[{ "Message cells are usually generated by the ", StyleBox["Mathematica", FontSlant->"Italic"], " kernel, typically messages emitted during evaluation.To follow Input \ cell style, precede Output cell style." }], "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["Message"], CellFrame->{{0.25, 0.25}, {0, 0}}, CellDingbat->"\[WarningSign]", CellMargins->{{54, 24}, {0, 0}}, CellGroupingRules->"OutputGrouping", PageBreakWithin->False, GroupPageBreakWithin->False, GeneratedCell->True, CellAutoOverwrite->True, ShowCellLabel->False, CellLabelMargins->{{23, Inherited}, {Inherited, Inherited}}, CellFrameLabelMargins->-9, DefaultFormatType->DefaultOutputFormatType, AutoItalicWords->{}, StyleMenuListing->None, FontFamily->"Helvetica", FontSize->10, FontColor->RGBColor[0, 0, 1], Background->RGBColor[0.819455, 0.804242, 0.663142]], Cell[StyleData["Message", "Presentation"], FontSize->12], Cell[StyleData["Message", "HTML"], CellFrame->False, CellMargins->{{0, 0}, {0, 0}}, CellFrameLabelMargins->8, Background->None], Cell[StyleData["Message", "Printout"], CellFrame->True, CellDingbat->None, CellMargins->{{96, 72}, {2, 4}}, PrivateEvaluationOptions->{"OutputFormPageWidth"->342}, CellFrameMargins->4, LineSpacing->{0, 10}, FontSize->8, FontColor->GrayLevel[0], Background->None] }, Closed]], Cell[TextData[{ "Print cells are usually generated by the ", StyleBox["Mathematica", FontSlant->"Italic"], " kernel, typically from such commands as ?Plot." }], "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["Print"], CellFrame->True, CellMargins->{{54, 24}, {1, 6}}, CellGroupingRules->"OutputGrouping", CellHorizontalScrolling->True, PageBreakWithin->False, GroupPageBreakWithin->False, GeneratedCell->True, CellAutoOverwrite->True, ShowCellLabel->False, CellLabelMargins->{{23, Inherited}, {Inherited, Inherited}}, CellFrameColor->RGBColor[0.718318, 0.694575, 0.474449], DefaultFormatType->DefaultOutputFormatType, AutoItalicWords->{}, StyleMenuListing->None, FontSize->10], Cell[StyleData["Print", "Presentation"], CellFrame->2, FontSize->12, Background->None], Cell[StyleData["Print", "HTML"], CellMargins->{{0, 0}, {2, 6}}, CellFrameColor->GrayLevel[0]], Cell[StyleData["Print", "Printout"], CellFrame->True, CellMargins->{{96, 72}, {2, 4}}, PrivateEvaluationOptions->{"OutputFormPageWidth"->342}, CellFrameMargins->4, CellFrameColor->GrayLevel[0], LineSpacing->{0, 11}, FontSize->9, Background->None] }, Closed]], Cell["\<\ Graphics cell usually output by kernel. To be preceded by Input cell, followed by Output cell. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["Graphics"], CellFrame->{{0.25, 0.25}, {0, 0}}, CellMargins->{{54, 24}, {0, 0}}, CellGroupingRules->"GraphicsGrouping", CellHorizontalScrolling->True, PageBreakWithin->False, GeneratedCell->True, CellAutoOverwrite->True, ShowCellLabel->True, CellLabelPositioning->Left, CellLabelAutoDelete->True, DefaultFormatType->DefaultOutputFormatType, ImageMargins->{{30, 0}, {0, 0}}, StyleMenuListing->None, Background->RGBColor[0.819455, 0.804242, 0.663142]], Cell[StyleData["Graphics", "Presentation"]], Cell[StyleData["Graphics", "HTML"], CellFrame->False, Background->None], Cell[StyleData["Graphics", "Printout"], CellFrame->False, CellMargins->{{96, 72}, {8, 10}}, LineSpacing->{0, 12}, ImageSize->{144, 144}, Background->None] }, Closed]], Cell["\<\ GraphicsOnly cell to follow Input cell, not followed by Output cell. Convert Graphics cell to GraphicsOnly cell manually. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["GraphicsOnly"], CellFrame->{{0.25, 0.25}, {0.25, 0}}, CellMargins->{{54, 24}, {10, 0}}, CellGroupingRules->"GraphicsGrouping", CellHorizontalScrolling->True, PageBreakWithin->False, GeneratedCell->True, CellAutoOverwrite->True, ShowCellLabel->True, CellLabelPositioning->Left, CellLabelAutoDelete->True, DefaultFormatType->DefaultOutputFormatType, ImageMargins->{{30, 0}, {0, 0}}, Background->RGBColor[0.819455, 0.804242, 0.663142]], Cell[StyleData["GraphicsOnly", "Presentation"]], Cell[StyleData["GraphicsOnly", "HTML"], CellFrame->False, Background->None], Cell[StyleData["GraphicsOnly", "Printout"], CellFrame->False, CellMargins->{{96, 72}, {8, 10}}, LineSpacing->{0, 12}, ImageSize->{144, 144}, FontSize->10, Background->None] }, Closed]], Cell["\<\ PictureGroup cell style used to group graphic cells that comprise an animation. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["PictureGroup"], CellFrame->{{0.25, 0.25}, {0.25, 0}}, CellMargins->{{54, 17}, {0, 0}}, CellGroupingRules->"GraphicsGrouping", CellHorizontalScrolling->True, PageBreakWithin->False, ShowCellLabel->True, CellLabelAutoDelete->True, ImageMargins->{{30, 0}, {0, 0}}, StyleMenuListing->None, Background->RGBColor[0.819455, 0.804242, 0.663142]], Cell[StyleData["PictureGroup", "Presentation"], StyleMenuListing->None], Cell[StyleData["PictureGroup", "HTML"], CellFrame->False, StyleMenuListing->None, Background->None], Cell[StyleData["PictureGroup", "Printout"], CellFrame->False, CellMargins->{{96, 72}, {8, 10}}, LineSpacing->{0, 12}, ImageSize->{144, 144}, FontSize->10, Background->None] }, Closed]], Cell[TextData[{ "PlacedGraphics cell style to be used when pasting in a graphic from \ another application or when presenting a graphic not associated with ", StyleBox["Mathematica", FontSlant->"Italic"], " input. May be followed by NumberedFigureCaption." }], "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["PlacedGraphics"], CellFrame->False, CellMargins->{{54, 24}, {10, 10}}, CellGroupingRules->"GraphicsGrouping", CellHorizontalScrolling->True, PageBreakWithin->False, ShowCellLabel->False, CellLabelAutoDelete->True, TextAlignment->Center], Cell[StyleData["PlacedGraphics", "Presentation"]], Cell[StyleData["PlacedGraphics", "HTML"]], Cell[StyleData["PlacedGraphics", "Printout"], CellMargins->{{72, 72}, {8, 10}}, LineSpacing->{0, 12}, FontSize->10, Background->None] }, Closed]], Cell["\<\ CellLabel style definition controls how labels appear when a cell has ShowCellLabels->True. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["CellLabel"], CellMargins->{{5, Inherited}, {Inherited, Inherited}}, StyleMenuListing->None, FontFamily->"Helvetica", FontSize->8, FontSlant->"Oblique", FontColor->RGBColor[0.115343, 0.350561, 0.362966]], Cell[StyleData["CellLabel", "Presentation"], FontSize->10, FontColor->RGBColor[0.115343, 0.350561, 0.362966]], Cell[StyleData["CellLabel", "HTML"]], Cell[StyleData["CellLabel", "Printout"], LineSpacing->{1, 0}, FontSize->6, FontColor->GrayLevel[0]] }, Closed]] }, Open ]], Cell[CellGroupData[{ Cell["Styles for Automatic Numbering and Lists", "Section", CellFrame->False, CellDingbat->None, ShowCellBracket->True, CellMargins->{{0, 0}, {10, 40}}, CellFrameMargins->{{20, 4}, {8, 8}}, FontColor->GrayLevel[1], Background->RGBColor[0.269902, 0.558434, 0.715618]], Cell["\<\ NumberedEquation is for DisplayFormula cells that number sequentially throughout a notebook. Sets as DefaultFormatType->TraditionalForm. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["NumberedEquation"], CellMargins->{{54, 24}, {5, 10}}, CellFrameLabels->{{None, Cell[ TextData[ {"(", CounterBox[ "NumberedEquation"], ")"}]]}, {None, None}}, DefaultFormatType->TraditionalForm, TextAlignment->Center, SingleLetterItalics->True, SpanMaxSize->Infinity, CounterIncrements->"NumberedEquation", FormatTypeAutoConvert->False, FontFamily->"Times", FontSize->12, UnderoverscriptBoxOptions->{LimitsPositioning->True}, GridBoxOptions->{AllowScriptLevelChange->False}], Cell[StyleData["NumberedEquation", "Presentation"], FontSize->14], Cell[StyleData["NumberedEquation", "HTML"], FontSize->12], Cell[StyleData["NumberedEquation", "Printout"], CellMargins->{{72, 72}, {2, 4}}, PrivateEvaluationOptions->{"OutputFormPageWidth"->342}, FontSize->10] }, Closed]], Cell["\<\ NumberedFigure is for adding a CellFrameLabel with the word Figure and the value of the incremented NumberedFigure counter. Does not allow for a caption. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["NumberedFigure"], CellMargins->{{54, 24}, {5, 10}}, ShowCellLabel->False, CellLabelAutoDelete->True, CellFrameLabels->{{None, None}, {Cell[ TextData[ {"Figure ", CounterBox[ "NumberedFigure"], "."}], FontFamily -> "Helvetica", FontSize -> 10, FontWeight -> "Bold"], None}}, CounterIncrements->"NumberedFigure", StyleMenuListing->None], Cell[StyleData["NumberedFigure", "Presentation"]], Cell[StyleData["NumberedFigure", "HTML"]], Cell[StyleData["NumberedFigure", "Printout"], CellMargins->{{72, 72}, {2, 4}}, CellFrameLabels->{{None, None}, {Cell[ TextData[ {"Figure ", CounterBox[ "NumberedFigure"], "."}], FontFamily -> "Helvetica", FontSize -> 9, FontWeight -> "Bold"], None}}] }, Closed]], Cell["\<\ NumberedTable is for adding a CellFrameLabel with the word Table and the value of the incremented NumberedTable counter to a Table cell. Does not allow for a caption. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["NumberedTable"], CellMargins->{{54, 24}, {5, 10}}, CellFrameLabels->{{None, None}, {Cell[ TextData[ {"Table ", CounterBox[ "NumberedTable"], "."}], FontFamily -> "Helvetica", FontSize -> 10, FontWeight -> "Bold"], None}}, CounterIncrements->"NumberedTable", StyleMenuListing->None], Cell[StyleData["NumberedTable", "Presentation"], CellMargins->{{54, 25}, {2, 10}}], Cell[StyleData["NumberedTable", "HTML"]], Cell[StyleData["NumberedTable", "Printout"], CellMargins->{{72, 72}, {2, 4}}, CellFrameLabels->{{None, None}, {Cell[ TextData[ {"Table ", CounterBox[ "NumberedTable"], "."}], FontFamily -> "Helvetica", FontSize -> 9, FontWeight -> "Bold"], None}}] }, Closed]], Cell["\<\ NumberedFigureCaption to be used directly after a PlacedGraphic cell. Use the \ TMJStyles.nb palette to begin the cell and paste in the word Figure and the NumberedFigure counter value. Allows for a descriptive caption. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["NumberedFigureCaption"], CellDingbat->"\[FilledUpTriangle]", CellMargins->{{54, 24}, {5, 10}}, CellLabelPositioning->Left, TextAlignment->Left, CounterIncrements->"NumberedFigure", FormatTypeAutoConvert->False, FontFamily->"Helvetica", FontSize->10], Cell[StyleData["NumberedFigureCaption", "Presentation"], FontSize->12], Cell[StyleData["NumberedFigureCaption", "HTML"]], Cell[StyleData["NumberedFigureCaption", "Printout"], CellDingbat->None, CellMargins->{{72, 72}, {18, 4}}, LineSpacing->{0, 11}, FontSize->9] }, Closed]], Cell["\<\ NumberedTableCaption to be used directly after a Table cell. Use the TMJStyles.nb palette to begin the cell and paste in the word Table and the NumberedTable counter value. Allows for a descriptive caption. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["NumberedTableCaption"], CellDingbat->"\[FilledUpTriangle]", CellMargins->{{54, 24}, {5, 10}}, CounterIncrements->"NumberedTable", FontFamily->"Helvetica", FontSize->10], Cell[StyleData["NumberedTableCaption", "Presentation"], CellMargins->{{54, 24}, {2, 10}}, FontSize->12], Cell[StyleData["NumberedTableCaption", "HTML"]], Cell[StyleData["NumberedTableCaption", "Printout"], CellDingbat->None, CellMargins->{{72, 72}, {18, 4}}, LineSpacing->{0, 11}, FontSize->9] }, Closed]], Cell["\<\ NumberedProgramCaption to be used directly after a Program cell. Use the TMJStyles.nb palette to begin the cell and paste in the word Listing and the NumberedProgram counter value. Allows for a descriptive caption. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["NumberedProgramCaption"], CellDingbat->"\[FilledUpTriangle]", CellMargins->{{54, 24}, {5, 10}}, CounterIncrements->"NumberedProgram", FormatTypeAutoConvert->False, FontFamily->"Helvetica", FontSize->10], Cell[StyleData["NumberedProgramCaption", "Presentation"], FontSize->12], Cell[StyleData["NumberedProgramCaption", "HTML"]], Cell[StyleData["NumberedProgramCaption", "Printout"], CellDingbat->None, CellMargins->{{72, 72}, {18, 4}}, LineSpacing->{0, 11}, FontSize->9] }, Closed]], Cell["\<\ Use of Caption style by itself should be discouraged. See cell styles for NumberedFigureCaption, NumberedTableCaption, NumberedProgramCaption and the TMJStyles.nb palette. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["Caption"], CellDingbat->"\[FilledUpTriangle]", CellMargins->{{54, 24}, {Inherited, 5}}, PageBreakAbove->False, StyleMenuListing->None, FontFamily->"Helvetica", FontSize->10], Cell[StyleData["Caption", "Presentation"], FontSize->12], Cell[StyleData["Caption", "HTML"]], Cell[StyleData["Caption", "Printout"], CellDingbat->None, CellMargins->{{72, 72}, {2, 4}}, LineSpacing->{0, 11}, FontSize->9] }, Closed]], Cell["\<\ BulletedList is an optional style. Adds a CellDingbat of FilledSmallCircle. Text indents left a little more. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["BulletedList"], CellDingbat->"\[FilledSmallCircle]", CellMargins->{{86, 10}, {Inherited, Inherited}}, FontFamily->"Times", FontSize->12], Cell[StyleData["BulletedList", "Presentation"], FontSize->14], Cell[StyleData["BulletedList", "HTML"]], Cell[StyleData["BulletedList", "Printout"], CellMargins->{{101, 72}, {2, Inherited}}, LineSpacing->{0, 12}, FontSize->10] }, Closed]], Cell["\<\ BeginNumberedList to be used as the first item in a numbered list sequence. Use the TMJStyles.nb palette to begin the cell and paste in the List counter value. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["BeginNumberedList"], CellMargins->{{74, 10}, {Inherited, Inherited}}, ParagraphIndent->-13, CounterIncrements->"List", CounterAssignments->{{"List", 0}}, FontFamily->"Times", FontSize->12], Cell[StyleData["BeginNumberedList", "Presentation"], ParagraphIndent->-19, FontSize->14], Cell[StyleData["BeginNumberedList", "HTML"], FontSize->10], Cell[StyleData["BeginNumberedList", "Printout"], CellMargins->{{85, 72}, {2, Inherited}}, LineSpacing->{0, 12}, ParagraphIndent->-17, FontSize->10] }, Closed]], Cell["\<\ NumberedList to be used for subsequent items in a numbered list sequence with \ a single digit. Use the TMJstyles.nb palette to begin the cell and paste in the List counter value. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["NumberedList"], CellMargins->{{74, 10}, {Inherited, Inherited}}, ParagraphIndent->-13, CounterIncrements->"List", FontFamily->"Times", FontSize->12], Cell[StyleData["NumberedList", "Presentation"], ParagraphIndent->-19, FontSize->14], Cell[StyleData["NumberedList", "HTML"]], Cell[StyleData["NumberedList", "Printout"], CellMargins->{{85, 72}, {2, Inherited}}, LineSpacing->{0, 12}, ParagraphIndent->-17, FontSize->10] }, Closed]], Cell["\<\ NumberedListTwo to be used for subsequent items in a numbered list sequence with two digits. Use the TMJStyles.nb palette to begin the cell and paste in the List counter value. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["NumberedListTwo"], CellMargins->{{74, 10}, {Inherited, Inherited}}, ParagraphIndent->-19, CounterIncrements->"List", FontFamily->"Times", FontSize->12], Cell[StyleData["NumberedListTwo", "Presentation"], ParagraphIndent->-28, FontSize->14], Cell[StyleData["NumberedListTwo", "HTML"]], Cell[StyleData["NumberedListTwo", "Printout"], CellMargins->{{85, 72}, {2, Inherited}}, LineSpacing->{0, 12}, ParagraphIndent->-17, FontSize->10] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["NolabelList"], CellMargins->{{74, 10}, {Inherited, Inherited}}, FontFamily->"Times", FontSize->12], Cell[StyleData["NolabelList", "Presentation"], FontSize->14], Cell[StyleData["NolabelList", "HTML"]], Cell[StyleData["NolabelList", "Printout"], CellMargins->{{85, 72}, {2, Inherited}}, LineSpacing->{0, 12}, ParagraphIndent->0, FontSize->10] }, Closed]], Cell["\<\ Reference style to be used in the bibliography portion of a notebook. One cell for each bibliography entry. Use the TMJStyles.nb palette to begin cell and paste in the Reference counter value. Use Inline style SB for bold font changes. Use Inline style SO for italic font changes. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["Reference"], CellMargins->{{54, 25}, {Inherited, Inherited}}, ParagraphIndent->-20, CounterIncrements->"Reference", FontFamily->"Helvetica", FontSize->10], Cell[StyleData["Reference", "Presentation"], ParagraphIndent->-25, FontFamily->"Helvetica", FontSize->12], Cell[StyleData["Reference", "HTML"], FontSize->8], Cell[StyleData["Reference", "Printout"], CellMargins->{{85, 72}, {2, 4}}, LineSpacing->{0, 10}, ParagraphIndent->-15, FontSize->8] }, Closed]], Cell["\<\ ReferenceTwo is for two-digit reference entries. See the TMJStyles.nb palette. Use Inline style SB for bold font changes. Use Inline style SO for italic font changes. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["ReferenceTwo"], CellMargins->{{54, 25}, {Inherited, Inherited}}, ParagraphIndent->-22, CounterIncrements->"Reference", FontFamily->"Helvetica", FontSize->10], Cell[StyleData["ReferenceTwo", "Presentation"], ParagraphIndent->-27, FontFamily->"Helvetica", FontSize->12], Cell[StyleData["ReferenceTwo", "HTML"]], Cell[StyleData["ReferenceTwo", "Printout"], CellMargins->{{84, 72}, {2, 4}}, LineSpacing->{0, 10}, ParagraphIndent->-16, FontSize->8] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Journal Element Styles", "Section", CellFrame->False, CellDingbat->None, ShowCellBracket->True, CellMargins->{{0, 0}, {10, 40}}, CellFrameMargins->{{20, 4}, {8, 8}}, FontColor->GrayLevel[1], Background->RGBColor[0.269902, 0.558434, 0.715618]], Cell["\<\ OnlineHeader to be used at the beginning of a notebook. Precedes the Title cell. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["OnlineHeader"], ShowCellBracket->True, CellMargins->{{0, 25}, {0, 0}}, CellGroupingRules->{"TitleGrouping", 30}, PageBreakBelow->False, CellFrameMargins->{{54, 4}, {2, 8}}, LineSpacing->{1, 1}, StyleMenuListing->None, FontFamily->"Times", FontSize->12, FontWeight->"Plain", FontSlant->"Italic", FontTracking->"Wide", FontColor->GrayLevel[1], Background->GrayLevel[0]], Cell[StyleData["OnlineHeader", "Presentation"], FontSize->14], Cell[StyleData["OnlineHeader", "HTML"], CellFrame->False, CellMargins->{{54, 24}, {10, 10}}, FontFamily->"Times", FontSize->10, FontColor->GrayLevel[0], Background->None], Cell[StyleData["OnlineHeader", "Printout"], PageWidth->PaperWidth, CellFrame->False, CellMargins->{{72, 72}, {0, 0}}, FontSize->10, FontColor->GrayLevel[0], Background->None] }, Closed]], Cell["\<\ Cell Style PreTitle to be used for such things that precede a title as in EDITOR'S PICK. Should be entered all caps with a space between each letter, two spaces between words. FontTracking is set to Wide. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["PreTitle"], ShowCellBracket->True, CellMargins->{{54, 25}, {Inherited, 0}}, CellGroupingRules->{"TitleGrouping", 0}, PageBreakBelow->False, CellFrameMargins->{{55, 4}, {8, 20}}, LineSpacing->{1.125, 0}, StyleMenuListing->None, FontFamily->"Helvetica", FontSize->14, FontWeight->"Bold", FontTracking->"Wide"], Cell[StyleData["PreTitle", "Presentation"]], Cell[StyleData["PreTitle", "HTML"], CellMargins->{{54, 24}, {Inherited, Inherited}}, CellFrameMargins->False, FontSize->12], Cell[StyleData["PreTitle", "Printout"], CellMargins->{{72, 72}, {14, 0}}, CellFrameMargins->False, FontSize->12, FontColor->GrayLevel[0], Background->None] }, Closed]], Cell["\<\ Author to be used after the Title cell with author name(s). Author name(s) may be preced by \"Edited by \" for certain columns. Text in author cell to be used as the left page header. Usually followed by an Address cell. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["Author"], CellMargins->{{54, 24}, {Inherited, Inherited}}, CellGroupingRules->"NormalGrouping", PageBreakBelow->False, FontFamily->"Helvetica", FontSize->14, FontWeight->"Bold", FontSlant->"Plain"], Cell[StyleData["Author", "Presentation"], FontSize->16], Cell[StyleData["Author", "HTML"], CellMargins->{{54, 24}, {2, 15}}, FontSize->12], Cell[StyleData["Author", "Printout"], CellMargins->{{72, 72}, {4, 4}}, LineSpacing->{0, 14}, FontSize->12] }, Closed]], Cell["\<\ SecondAuthor to be used after a Section cell with author name(s) for a particular portion of a notebook. Used for columns Tech Support and Tricks of \ the Trade. Usually followed by an Address cell. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["SecondAuthor"], CellMargins->{{54, 24}, {Inherited, Inherited}}, CellGroupingRules->"NormalGrouping", PageBreakBelow->False, StyleMenuListing->None, FontFamily->"Helvetica", FontSize->14, FontWeight->"Bold", FontSlant->"Plain"], Cell[StyleData["SecondAuthor", "Presentation"], FontSize->16], Cell[StyleData["SecondAuthor", "HTML"], CellMargins->{{54, 24}, {2, 15}}, FontSize->12], Cell[StyleData["SecondAuthor", "Printout"], CellMargins->{{72, 72}, {2, 4}}, LineSpacing->{0, 14}, FontSize->12] }, Closed]], Cell["\<\ Address to be used after Author or SecondAuthor. Contains contact information \ for article (section) author. If more than one author is listed with the same \ affiliation use one Address cell. If authors have different affiliations use Author (SecondAuthor) and Address for each. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["Address"], CellMargins->{{54, 24}, {Inherited, Inherited}}, CellGroupingRules->"NormalGrouping", PageBreakBelow->False, FontFamily->"Times", FontSize->12, FontWeight->"Plain", FontSlant->"Italic"], Cell[StyleData["Address", "Presentation"], FontSize->14], Cell[StyleData["Address", "HTML"], CellMargins->{{54, 24}, {2, 2}}, FontSize->10], Cell[StyleData["Address", "Printout"], CellMargins->{{70, 72}, {22, 4}}, LineSpacing->{0, 12}, FontSize->8, FontSlant->"Italic"] }, Closed]], Cell["\<\ Abstract to be used after the Address cell. Contains a short summary of the article. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["Abstract"], CellMargins->{{54, 24}, {Inherited, 30}}, LineSpacing->{1, 3}, FontFamily->"Times", FontSize->14, FontWeight->"Bold", FontSlant->"Italic"], Cell[StyleData["Abstract", "Presentation"], FontSize->16], Cell[StyleData["Abstract", "HTML"], CellMargins->{{54, 24}, {20, 30}}, FontSize->12], Cell[StyleData["Abstract", "Printout"], CellMargins->{{72, 72}, {Inherited, 2}}, LineSpacing->{0, 12}, FontSize->10, FontWeight->"Bold", FontSlant->"Plain"] }, Closed]], Cell["\<\ BeginQuestion is used in the In and Out column directly after a section cell. \ Followed by either Question or Input, InputOnly, etc. Last paragraph of the question should be in EndQuestion cell style. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["BeginQuestion"], CellFrame->{{0, 0}, {0, 2}}, CellDingbat->"Q:", CellMargins->{{72, 34}, {8, 8}}, CellFrameMargins->{{0, 0}, {2, 4}}, LineSpacing->{1, 2}, FontFamily->"Times", FontSize->14, FontWeight->"Bold", FontColor->RGBColor[0.115511, 0.321752, 0.580118]], Cell[StyleData["BeginQuestion", "Presentation"], FontSize->16], Cell[StyleData["BeginQuestion", "HTML"], CellMargins->{{72, 34}, {Inherited, Inherited}}, FontSize->10], Cell[StyleData["BeginQuestion", "Printout"], PageWidth->PaperWidth, CellFrame->{{0, 0}, {0, 2}}, CellMargins->{{72, 72}, {4, 16}}, LineSpacing->{0, 12}, FontSize->10, FontWeight->"Plain", FontColor->GrayLevel[0]] }, Closed]], Cell["\<\ Question used for text cells within the Question portion of a QuestionAnswer. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["Question"], CellMargins->{{74, 34}, {8, 8}}, LineSpacing->{1, 2}, FontFamily->"Times", FontSize->14, FontWeight->"Bold", FontColor->RGBColor[0.115511, 0.321752, 0.580118]], Cell[StyleData["Question", "Presentation"], FontSize->16], Cell[StyleData["Question", "HTML"], FontSize->10], Cell[StyleData["Question", "Printout"], PageWidth->PaperWidth, CellMargins->{{72, 72}, {2, 4}}, LineSpacing->{0, 12}, FontSize->10, FontWeight->"Plain", FontColor->GrayLevel[0]] }, Closed]], Cell["\<\ EndQuestion used in the In and Out column as the last paragraph of the question. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["EndQuestion"], CellFrame->{{0, 0}, {2, 0}}, CellMargins->{{70, 35}, {8, 8}}, LineSpacing->{1, 2}, FontFamily->"Times", FontSize->14, FontWeight->"Bold", FontColor->RGBColor[0.115511, 0.321752, 0.580118]], Cell[StyleData["EndQuestion", "Presentation"], LineSpacing->{1, 4}, FontSize->16], Cell[StyleData["EndQuestion", "HTML"], FontSize->10], Cell[StyleData["EndQuestion", "Printout"], CellFrame->{{0, 0}, {2, 0}}, CellMargins->{{72, 72}, {18, 4}}, LineSpacing->{0, 12}, FontSize->10, FontWeight->"Plain", FontColor->GrayLevel[0]] }, Closed]], Cell["\<\ BeginEndQuestion is used in the In and Out column directly after a section cell. Used if the question is a single text paragraph. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["BeginEndQuestion"], CellFrame->{{0, 0}, {2, 2}}, CellDingbat->"Q:", CellMargins->{{70, 35}, {8, 8}}, LineSpacing->{1, 2}, FontFamily->"Times", FontSize->14, FontWeight->"Bold", FontColor->RGBColor[0.115511, 0.321752, 0.580118]], Cell[StyleData["BeginEndQuestion", "Presentation"], LineSpacing->{1, 4}, FontSize->16], Cell[StyleData["BeginEndQuestion", "HTML"], FontSize->10], Cell[StyleData["BeginEndQuestion", "Printout"], CellMargins->{{72, 72}, {18, 14}}, LineSpacing->{0, 12}, FontSize->10, FontWeight->"Plain", FontColor->GrayLevel[0]] }, Closed]], Cell["\<\ BeginAnswer is used in the In and Out column directly after an EndQuestion or \ BeginEndQuestion cell style to begin the answer portion. Followed by Text or Input/Output etc. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["BeginAnswer"], CellDingbat->"A:", CellMargins->{{70, 35}, {Inherited, Inherited}}, LineSpacing->{1, 4}, CounterIncrements->"Text", FontFamily->"Times", FontSize->12], Cell[StyleData["BeginAnswer", "Presentation"], FontSize->14], Cell[StyleData["BeginAnswer", "HTML"], FontSize->10], Cell[StyleData["BeginAnswer", "Printout"], CellMargins->{{72, 72}, {2, 4}}, LineSpacing->{0, 12}, FontSize->10] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Answer"], CellMargins->{{70, 35}, {Inherited, Inherited}}, LineSpacing->{1, 4}, FontFamily->"Times", FontSize->12], Cell[StyleData["Answer", "Presentation"], FontSize->14], Cell[StyleData["Answer", "HTML"], FontSize->10], Cell[StyleData["Answer", "Printout"], CellMargins->{{72, 72}, {2, 4}}, LineSpacing->{0, 12}, FontSize->10] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["EditorialComment"], CellFrame->False, CellDingbat->"\[FilledCircle]", CellMargins->{{54, 25}, {Inherited, Inherited}}, LineSpacing->{1, 3}, CounterIncrements->"Text", FontColor->RGBColor[1, 0, 0], Background->GrayLevel[1]], Cell[StyleData["EditorialComment", "Presentation"]], Cell[StyleData["EditorialComment", "HTML"], FontSize->10], Cell[StyleData["EditorialComment", "Printout"], CellMargins->{{24, 80}, {Inherited, 0}}, LineSpacing->{1, 3}, FontSize->10, FontColor->GrayLevel[0]] }, Closed]], Cell["\<\ SectionAboutAuthor to be used as the section head for the About the Author portion of a notebook. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["SectionAboutAuthor"], CellMargins->{{54, 24}, {0, 30}}, CellGroupingRules->{"SectionGrouping", 40}, PageBreakBelow->False, CellFrameMargins->4, FontFamily->"Helvetica", FontSize->18, FontWeight->"Bold"], Cell[StyleData["SectionAboutAuthor", "Presentation"]], Cell[StyleData["SectionAboutAuthor", "HTML"], Background->None], Cell[StyleData["SectionAboutAuthor", "Printout"], CellFrame->False, CellMargins->{{72, 72}, {0, 30}}, CellFrameMargins->4, FontSize->12, Background->GrayLevel[0.899001]] }, Closed]], Cell["\<\ TextAboutAuthor is to be used for the text in the About the Author portion of \ a notebook. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["TextAboutAuthor"], CellMargins->{{54, 24}, {2, 0}}, CellFrameMargins->4, LineSpacing->{1, 3}, CounterIncrements->"Text", FontSize->12], Cell[StyleData["TextAboutAuthor", "Presentation"], FontSize->14], Cell[StyleData["TextAboutAuthor", "HTML"], FontSize->10, Background->None], Cell[StyleData["TextAboutAuthor", "Printout"], CellMargins->{{72, 72}, {2, 0}}, CellFrameMargins->4, LineSpacing->{0, 11}, FontFamily->"Helvetica", FontSize->9, Background->GrayLevel[0.899001]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Subsubsubsection"], CellDingbat->None, CellMargins->{{54, 25}, {6, 20}}, CellGroupingRules->{"SectionGrouping", 60}, PageBreakBelow->False, CounterIncrements->"Subsubsubsection", StyleMenuListing->None, FontFamily->"Helvetica", FontSize->12, FontWeight->"Bold"], Cell[StyleData["Subsubsubsection", "Presentation"]], Cell[StyleData["Subsubsubsection", "HTML"], CellMargins->{{54, 24}, {Inherited, Inherited}}, FontSize->10], Cell[StyleData["Subsubsubsection", "Printout"], CellDingbat->None, CellMargins->{{72, 72}, {-4, 2}}, FontSize->9, FontWeight->"Bold", FontSlant->"Plain"] }, Closed]] }, Open ]], Cell[CellGroupData[{ Cell["Display Formulas and Programming", "Section", CellFrame->False, CellDingbat->None, ShowCellBracket->True, CellMargins->{{0, 0}, {10, 40}}, CellFrameMargins->{{20, 4}, {8, 8}}, FontColor->GrayLevel[1], Background->RGBColor[0.269902, 0.558434, 0.715618]], Cell[CellGroupData[{ Cell[StyleData["DisplayFormula"], CellMargins->{{54, 25}, {2, 10}}, CellHorizontalScrolling->True, DefaultFormatType->TraditionalForm, TextAlignment->Center, ScriptLevel->0, SingleLetterItalics->True, SpanMaxSize->Infinity, FormatTypeAutoConvert->False, FontFamily->"Times", FontSize->12, UnderoverscriptBoxOptions->{LimitsPositioning->True}, GridBoxOptions->{AllowScriptLevelChange->False}], Cell[StyleData["DisplayFormula", "Presentation"], FontSize->14], Cell[StyleData["DisplayFormula", "HTML"], FontSize->12], Cell[StyleData["DisplayFormula", "Printout"], CellMargins->{{72, 72}, {2, 4}}, PrivateEvaluationOptions->{"OutputFormPageWidth"->342}, LineSpacing->{1.25, 0}, FontSize->10] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["ChemicalFormula"], CellMargins->{{54, 25}, {2, 10}}, DefaultFormatType->DefaultInputFormatType, AutoSpacing->False, ScriptLevel->1, ScriptBaselineShifts->{0.6, Automatic}, SingleLetterItalics->False, ZeroWidthTimes->False, FontFamily->"Times", FontSize->12], Cell[StyleData["ChemicalFormula", "Presentation"], FontSize->14], Cell[StyleData["ChemicalFormula", "HTML"], FontSize->10], Cell[StyleData["ChemicalFormula", "Printout"], CellMargins->{{72, 72}, {2, 4}}, LineSpacing->{0, 12}, FontSize->10] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Program"], CellMargins->{{54, 25}, {Inherited, 6}}, FontFamily->"Courier", FontSize->10], Cell[StyleData["Program", "Presentation"], FontSize->12], Cell[StyleData["Program", "HTML"], FontSize->9], Cell[StyleData["Program", "Printout"], CellMargins->{{72, 72}, {2, 18}}, LineSpacing->{0, 11}, FontSize->9] }, Closed]], Cell["\<\ Table cell style to be used for cells containing displayed tabular material. May be followed by NumberedTableCaption cell. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["Table"], CellMargins->{{54, 24}, {5, 10}}, TextAlignment->Center, FontFamily->"Times", FontSize->12, Background->GrayLevel[0.899001]], Cell[StyleData["Table", "Presentation"], FontSize->14], Cell[StyleData["Table", "HTML"], Background->None], Cell[StyleData["Table", "Printout"], CellMargins->{{72, 72}, {0, 18}}, FontSize->10, Background->None] }, Closed]], Cell[TextData[{ "DefinitionBox, 2 left-aligned columns, to emulate gray boxes in the ", StyleBox["Mathematica", FontSlant->"Italic"], " book." }], "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["DefinitionBox"], CellFrame->0.5, CellMargins->{{54, 24}, {5, 10}}, CellHorizontalScrolling->True, AutoIndent->False, AutoSpacing->False, SingleLetterItalics->False, LineIndent->0, FontFamily->"Times", FontSize->12, Background->GrayLevel[0.899001], GridBoxOptions->{RowSpacings->1.5, ColumnSpacings->1, ColumnWidths->{0.4, 0.6}, ColumnAlignments->{Left}}], Cell[StyleData["DefinitionBox", "Presentation"], FontSize->14], Cell[StyleData["DefinitionBox", "HTML"], Background->None], Cell[StyleData["DefinitionBox", "Printout"], CellMargins->{{72, 72}, {2, 18}}, FontSize->10, Background->None] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Styles for Headers and Footers", "Section", CellFrame->False, CellDingbat->None, ShowCellBracket->True, CellMargins->{{0, 0}, {10, 40}}, CellFrameMargins->{{20, 4}, {8, 8}}, FontColor->GrayLevel[1], Background->RGBColor[0.269902, 0.558434, 0.715618]], Cell[CellGroupData[{ Cell[StyleData["Header"], CellMargins->{{54, 24}, {0, 0}}, StyleMenuListing->None, FontFamily->"Times", FontSize->9, FontSlant->"Italic"], Cell[StyleData["Header", "Presentation"]], Cell[StyleData["Header", "HTML"]], Cell[StyleData["Header", "Printout"], PageWidth->PaperWidth, CellMargins->{{72, 72}, {2, 2}}, StyleMenuListing->None, FontSize->9] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["PageNumber"], StyleMenuListing->None, FontFamily->"Helvetica", FontSize->9, FontWeight->"Bold"], Cell[StyleData["PageNumber", "Printout"], PageWidth->PaperWidth, CellMargins->{{72, 72}, {2, 2}}, StyleMenuListing->None] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Footer"], CellMargins->{{54, 24}, {Inherited, Inherited}}, StyleMenuListing->None, FontFamily->"Helvetica", FontSize->7, FontSlant->"Oblique"], Cell[StyleData["Footer", "Printout"], PageWidth->PaperWidth, CellMargins->{{72, 72}, {2, 2}}, StyleMenuListing->None, FontSize->6] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Frontmatter Styles", "Section", CellFrame->False, CellDingbat->None, ShowCellBracket->True, CellMargins->{{0, 0}, {10, 40}}, CellFrameMargins->{{20, 4}, {8, 8}}, FontColor->GrayLevel[1], Background->RGBColor[0.269902, 0.558434, 0.715618]], Cell[CellGroupData[{ Cell[StyleData["tocentry"], CellMargins->{{54, 24}, {Inherited, Inherited}}, TabFilling->".", LineSpacing->{1, 4}, FontFamily->"Times", FontSize->12], Cell[StyleData["tocentry", "Presentation"], FontSize->14], Cell[StyleData["tocentry", "HTML"], LineSpacing->{1, 3}, FontSize->10], Cell[StyleData["tocentry", "Printout"], CellMargins->{{84, 72}, {0, 0}}, AutoIndent->True, LineSpacing->{0, 12}, ParagraphIndent->0, FontSize->10] }, Closed]], Cell["\<\ LetterWriter to be used after a letter. Use inline formatting SCBO for person's name. Use Text cell style for letter text. \ \>", "EditorialComment"], Cell[CellGroupData[{ Cell[StyleData["LetterWriter"], CellMargins->{{200, Inherited}, {6, 0}}, LineSpacing->{0, 10}, FontFamily->"Helvetica", FontSize->10, FontSlant->"Oblique"], Cell[StyleData["LetterWriter", "Presentation"], LineSpacing->{0, 12}, FontSize->12], Cell[StyleData["LetterWriter", "HTML"]], Cell[StyleData["LetterWriter", "Printout"], CellMargins->{{250, Inherited}, {6, 0}}, LineSpacing->{0, 8}, FontFamily->"Helvetica", FontSize->8, FontSlant->"Oblique"] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["LetterReply"], CellMargins->{{54, 24}, {Inherited, Inherited}}, LineSpacing->{1, 4}, FontFamily->"Times", FontSize->12, FontSlant->"Italic"], Cell[StyleData["LetterReply", "Presentation"], FontSize->14], Cell[StyleData["LetterReply", "HTML"], LineSpacing->{1, 3}, FontSize->10], Cell[StyleData["LetterReply", "Printout"], CellMargins->{{72, 72}, {8, 4}}, LineSpacing->{0, 12}, FontSize->10] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["IndexEntry"], CellMargins->{{54, 24}, {Inherited, Inherited}}, LineSpacing->{1, 4}, FontFamily->"Times", FontSize->12], Cell[StyleData["IndexEntry", "Presentation"], FontSize->14], Cell[StyleData["IndexEntry", "HTML"], FontSize->10], Cell[StyleData["IndexEntry", "Printout"], PageWidth->336, CellMargins->{{72, 72}, {0, 0}}, AutoIndent->True, LineSpacing->{0, 10}, ParagraphIndent->-27, TabSpacings->1, FontSize->8] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Hyperlink Styles", "Section", CellFrame->False, CellDingbat->None, ShowCellBracket->True, CellMargins->{{0, 0}, {10, 40}}, CellFrameMargins->{{20, 4}, {8, 8}}, FontColor->GrayLevel[1], Background->RGBColor[0.269902, 0.558434, 0.715618]], Cell["\<\ The cells below define styles useful for making hypertext ButtonBoxes. The \"Hyperlink\" style is for links within the same Notebook, or between Notebooks. \ \>", "Text"], Cell[CellGroupData[{ Cell[StyleData["Hyperlink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0, 0, 1], FontVariations->{"Underline"->True}, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`NotebookLocate[ #2]}]&), Active->True, ButtonNote->ButtonData}], Cell[StyleData["Hyperlink", "Presentation"]], Cell[StyleData["Hyperlink", "Printout"], FontColor->GrayLevel[0]] }, Closed]], Cell["\<\ The following styles are for linking automatically to the locally installed on-line help system. \ \>", "Text"], Cell[CellGroupData[{ Cell[StyleData["MainBookLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0, 0, 1], FontVariations->{"Underline"->True}, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "MainBook", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["MainBookLink", "Presentation"]], Cell[StyleData["MainBookLink", "HTML"]], Cell[StyleData["MainBookLink", "Printout"], FontColor->GrayLevel[0]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["AddOnsLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0, 0, 1], FontVariations->{"Underline"->True}, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "AddOns", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["AddOnsLink", "Presentation"]], Cell[StyleData["AddOnsLink", "HTML"]], Cell[StyleData["AddOnsLink", "Printout"], FontColor->GrayLevel[0]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["RefGuideLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0, 0, 1], FontVariations->{"Underline"->True}, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "RefGuide", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["RefGuideLink", "Presentation"]], Cell[StyleData["RefGuideLink", "HTML"]], Cell[StyleData["RefGuideLink", "Printout"], FontColor->GrayLevel[0]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["GettingStartedLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0, 0, 1], FontVariations->{"Underline"->True}, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "GettingStarted", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["GettingStartedLink", "Presentation"]], Cell[StyleData["GettingStartedLink", "HTML"]], Cell[StyleData["GettingStartedLink", "Printout"], FontColor->GrayLevel[0]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["OtherInformationLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0, 0, 1], FontVariations->{"Underline"->True}, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "OtherInformation", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["OtherInformationLink", "Presentation"]], Cell[StyleData["OtherInformationLink", "HTML"]], Cell[StyleData["OtherInformationLink", "Printout"], FontColor->GrayLevel[0]] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["FormatType Styles", "Section", CellFrame->False, CellDingbat->None, ShowCellBracket->True, CellMargins->{{0, 0}, {10, 40}}, CellFrameMargins->{{20, 4}, {8, 8}}, FontColor->GrayLevel[1], Background->RGBColor[0.269902, 0.558434, 0.715618]], Cell["\<\ These cells define styles that are mixed in with most other cells. If the FormatType of a cell style matches the name of one of the styles defined below, then that style is applied along with the local cell style definitions. 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Cell["\<\ IT used to change selection to FontWeight->Plain, FontSlant->Italic \ \>", "EditorialComment"], Cell[StyleData["IT"], FontWeight->"Plain", FontSlant->"Italic"], Cell["\<\ BFI used to change selection to FontWeight->Bold, FontSlant->Italic \ \>", "EditorialComment"], Cell[StyleData["BFI"], FontWeight->"Bold", FontSlant->"Italic"], Cell["\<\ TR used to change selection to normal text font, FontWeight->Plain, FontSlant->Plain \ \>", "EditorialComment"], Cell[StyleData["TR"], FontFamily->"Times", FontWeight->"Plain", FontSlant->"Plain"], Cell["\<\ TI used to change selection to normal text font, FontWeight->Plain, FontSlant->Italic \ \>", "EditorialComment"], Cell[StyleData["TI"], FontFamily->"Times", FontWeight->"Plain", FontSlant->"Italic"], Cell["\<\ TB used to change selection to normal text font, FontWeight->Bold, FontSlant->Plain \ \>", "EditorialComment"], Cell[StyleData["TB"], FontFamily->"Times", FontWeight->"Bold", FontSlant->"Plain"], Cell["\<\ TBI used to change selection to normal text font, FontWeight->Bold, FontSlant->Italic \ \>", "EditorialComment"], Cell[StyleData["TBI"], FontFamily->"Times", FontWeight->"Bold", FontSlant->"Italic"], Cell["\<\ MR used to change selection to monospace font with FontWeight->Plain, FontSlant->Plain \ \>", "EditorialComment"], Cell[StyleData["MR"], StyleMenuListing->None, FontFamily->"Courier", FontWeight->"Bold", FontSlant->"Plain"], Cell["\<\ MO used to change selection to monospace font with FontWeight->Plain, FontSlant->Oblique \ \>", "EditorialComment"], Cell[StyleData["MO"], StyleMenuListing->None, FontFamily->"Courier", FontWeight->"Bold", FontSlant->"Oblique"], Cell["\<\ MB used to change selection to monospace font with FontWeight->Bold, FontSlant->Plain \ \>", "EditorialComment"], Cell[StyleData["MB"], StyleMenuListing->None, FontFamily->"Courier", FontWeight->"Bold", FontSlant->"Plain"], Cell["\<\ MBO used to change selection to monospace font with FontWeight->Bold, FontSlant->Oblique \ \>", "EditorialComment"], Cell[StyleData["MBO"], StyleMenuListing->None, FontFamily->"Courier", FontWeight->"Bold", FontSlant->"Oblique"], Cell["\<\ SR used to change selection to sans serif font with FontWeight->Plain, FontSlant->Plain \ \>", "EditorialComment"], Cell[StyleData["SR"], FontFamily->"Helvetica", FontWeight->"Plain", FontSlant->"Plain"], Cell["\<\ SO used to change selection to sans serif font with FontWeight->Plain, FontSlant->Oblique \ \>", "EditorialComment"], Cell[StyleData["SO"], FontFamily->"Helvetica", FontWeight->"Plain", FontSlant->"Oblique"], Cell["\<\ SB used to change selection to sans serif font with FontWeight->Bold, FontSlant->Plain \ \>", "EditorialComment"], Cell[StyleData["SB"], FontFamily->"Helvetica", FontWeight->"Bold", FontSlant->"Plain"], Cell["\<\ SBO used to change selection to sans serif font with FontWeight->Bold, FontSlant->Oblique \ \>", "EditorialComment"], Cell[StyleData["SBO"], FontFamily->"Helvetica", FontWeight->"Bold", FontSlant->"Oblique"], Cell[TextData[{ "SCL used to change selection to sans serif font \ (FontTracking->\"Condensed \"", ",FontWeight->", StyleBox["\"Light\"", "MR"], ")" }], "EditorialComment"], Cell[StyleData["SCL"], FontFamily->"Helvetica", FontWeight->"Light", FontTracking->"Condensed"], Cell[TextData[{ "SCLO used to change selection to sans serif font \ (FontSlant->\"Oblique\", FontTracking->\"Condensed\",FontWeight->", StyleBox["\"Light\"", "MR"], ")" }], "EditorialComment"], Cell[StyleData["SCLO"], FontFamily->"Helvetica", FontWeight->"Light", FontSlant->"Oblique", FontTracking->"Condensed"], Cell["\<\ SCB used to change selection to sans serif font (FontWeight->\"Bold\", FontTracking->\"Condensed\") \ \>", "EditorialComment"], Cell[StyleData["SCB"], FontFamily->"Helvetica", FontWeight->"Bold", FontTracking->"Condensed"], Cell["\<\ SCBO used to change selection to sans serif font (FontWeight->\"Bold\", FontSlant->\"Oblique\", FontTracking->\"Condensed\") \ \>", "EditorialComment"], Cell[StyleData["SCBO"], FontFamily->"Helvetica", FontWeight->"Bold", FontSlant->"Oblique", FontTracking->"Condensed"], Cell["\<\ SXR used to change selection to sans serif font (FontWeight->\"ExtraBold\", FontTracking->\"Condensed\") \ \>", "EditorialComment"], Cell[StyleData["SXR"], FontFamily->"Helvetica", FontWeight->"ExtraBold", FontTracking->"Condensed"], Cell["\<\ SXO used to change selection to sans serif font (FontWeight->\"ExtraBold\", FontSlant->\"Oblique\", FontTracking->\"Condensed\") \ \>", "EditorialComment"], Cell[StyleData["SXO"], FontFamily->"Helvetica", FontWeight->"ExtraBold", FontSlant->"Oblique", FontTracking->"Condensed"] }, Closed]], Cell[CellGroupData[{ Cell["Notation Package Styles", "Section", CellFrame->False, CellDingbat->None, ShowCellBracket->True, CellMargins->{{0, 0}, {10, 40}}, CellFrameMargins->{{20, 4}, {8, 8}}, FontColor->GrayLevel[1], Background->RGBColor[0.269902, 0.558434, 0.715618]], Cell["\<\ The cells below define certain styles needed by the 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These styles serve to make visible otherwise invisible tagboxes. \ \>", "Text", GeneratedCell->True, CellTags->"NotationPackage"], Cell[StyleData["NotationTemplateStyle"], GeneratedCell->True, StyleMenuListing->None, Background->None, TagBoxOptions->{SyntaxForm->"symbol"}, CellTags->"NotationPackage"], Cell[StyleData["NotationPatternWrapperStyle"], GeneratedCell->True, StyleMenuListing->None, Background->None, TagBoxOptions->{SyntaxForm->"symbol"}, CellTags->"NotationPackage"], Cell[StyleData["NotationMadeBoxesWrapperStyle"], GeneratedCell->True, StyleMenuListing->None, Background->None, TagBoxOptions->{SyntaxForm->"symbol"}, CellTags->"NotationPackage"] }, Closed]] }, Open ]] }] ] (******************************************************************* Cached data follows. If you edit this Notebook file directly, not using Mathematica, you must remove the line containing CacheID at the top of the file. 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