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extrema 4.4.5 is considered as a convenient and useful visualization and data analysis tool that enables researchers to quickly distill their large, complex data sets into meaningful information. Its flexibility, sophistication, and power allow you to easily develop your own commands and create highly customized graphs.Major Features:Ease of UseA rich graphical user interface lets you quickly tackle one-off problems.For more elaborate tasks, the intuitive command language makes script writing easy. For example, to graph two data vectors x and y against each other, just type "graph x y".Automatic script-writing mode will create a script based on your GUI point-and-click actions. Write scripts without typing a single command!Data manipulation is easy with Extrema's automatic expression evaluation. For instance, if you have 10,000 (x,y) data coordinates stored in vectors x and y, you can instantly compute each of their distances from the origin with "d = sqrt(x^2 + y^2)".Simple, easy-to-understand programming constructs allow you to write code with little or no programming experience.The GUI gives you ALL the power of the low-level language, and vice versa.3-D GraphingContour plots: colour, legend, area/volume tabulations, control over contour label size, colour, separation, etc.Density plots: derivatives, random point type, box type, colour filled regions, dithering patterns with automatic or user defined patterns, diffusion type, profiles, legend, area/volume tabulations, etc.2-D GraphingCustomized 2-D line graphs, scatter plots, horizontal or vertical bar charts, each with a large variety of type styles and fonts of any size and colorCustomized or automatic legendsMultiple axes with arbitrary axis positioningFill the area between data curves or fill individual histogram barsLogarithmic axes, to any base, including eAxis scaling can be automatic or user set (including commensurate axes)Labels can optionally follow the curves on rescaling a graphMany plotting symbols, with control over size, colour and angleComplete control over axis appearance (short/long tic mark length and angle, separation between tic marks and axis labels, axis angle, length and location, axis labels size, colour, font, number of digits, etc.)Data Reduction & AnalysisDifferentiate/Integrate an arbitrary expressionInterpolate 1-D or 2-D data using various methods (linear, Lagrange, weighted splines under tension, Fritsch-Carlson, etc.)Smooth data using various methods (weighted splines under tension, Savitzky-Golay filters, etc.)Convolution and deconvolution of dataIntegral transforms of arbitrary expressionsFast Fourier Transforms and Inverse FFT'sReorganize data (sort, step, roll, wrap, etc.)Weighted (re-)binning of 1-D or 2-D data into automatic or user defined bins (specified by centres or edges)Find multiple real roots of an expressionRecursive and non-recursive digital filtersManual or automatic determination of data extrema using graphics cursorFit data with an arbitrary, non-linear, expression involving up to 25 variable parametersEllipse fittingCalculation of parameters for least-squares fit using adjustable parametersUser defined and named variables (scalars, vectors, matrices, strings, arrays of strings)Full indexing on variables and expressionsLiteral vectors may be specified as a list or a rangeBoolean operators (, &, etc.)Array operators (inner/outer product, matrix transpose, etc.)Over 200 built-in functions including: scalar type (Bessel, Clebsch-Gordan, etc.); array type (sum, product, loop, where, etc.); string type (case, date/time, etc.)Mathematical/character expressions may appear in any suitable command parameterUse character variables to substitute for complicated expression substringsData Input/OutputDisplay the history of variablesRead data from binary or ASCII files by formats or space/tab/comma separated columnsOutput data to binary or ASCII files by formats or in columnsDynamic allocation of arraysDigitize data from a displayed plotExtrema's Built-In LanguageScripting capability with up to 20 nesting levels and with parameter passingScript library of `super' commandsNested looping, branching and conditional statements in scriptsDisplay messages, prompt for user input from within a scriptReturn to interactive mode from within a script, and later resume script executionCreate a script interactivelyGeneral Graphics UtilitiesUnlimited text capabilities for titles, labels, and annotationsMultiple windows within the graphing areaAny number of charts of any mixed type on a single pictureHigh quality graphics displayInteractive entry of lines, arcs, geometric figures, and textOther FeaturesComprehensive on-line documentation: instant help for any command, or interactive browsing through help libraryKeyword searchingSave/Restore an entire Extrema session, including graphicsKeep a journal file of all command input and message outputDynamic input line recall buffers allow recall/edit of commands using the arrow keysEnhancements:The contour plot feature has been completely rewritten. It now produces plots corresponding to the interactive help documentation (which was also updated).A graph legend should no longer disappear on a hardcopy or a window resize after setting LEGENDON false or using the DEFAULTS command.Requirements:All 32-bit MS Windows (95/98/NT/2000/XP)