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- Game Theory Applet

To make the ESS calculations a bit easier plug the resource value and injury costs into the following payoff matrix applet below Click on the cell and then enter the appropriate value When you have finished entering the data into the matrix a value will be given in red at the bottom of the applet i e ESS If the value is ESS 1 Then Hawk is a pure strategy

Original URL path: http://math.hws.edu/javamath/ryan/GameTheory.html (2016-02-07)

Open archived version from archive - ryan

Flyway Studies by the Save the Sea Shore Birds Project and the Ghana Wildlife Society dating back to the early 1980s have shown that significant numbers of waterbirds use Ghana coastal wetlands as staging areas and wintering grounds At least 15 species of waterbirds occur here in internationally important populations Ntiamoa Baidu 1991 Five coastal lagoons and their watersheds along the Ghana coast have been proposed as Ramsar Sites internationally important wetlands under the Convention on Wetlands of International Importance Ramsar Convention In 1992 the government of Ghana received support from the Global Environment Facility GEF for the protection of these sites Muni Pomadze Densu delta Sakumo Songor and Keta under the Coastal Wetlands Management Project CWMP which is implemented by the Ghana Wildlife Department The CWMP seeks to preserve the ecological integrity of these five coastal wetlands and to enhance the socio economic benefits that these wetlands provide to the local communities Ntiamoa Baidu and Gordon 1991 Piersma and Ntiamoa Baidu 1995 To fulfil the CWMP s goals baseline information on the ecological health and integrity of these wetland ecosystems is required before sound management decisions can be made Toward that end the CWMP has implemented a series of baseline ecological studies aimed at characterizing the current status of these important wetlands These ecological studies will form the basis for management and additional long term monitoring of these sites The Muni Pomadze Ramsar Site has the greatest habitat diversity and least encroachment by human populations of the five Ramsar sites making it an ideal nature reserve With excellent ocean views coconut fringed sandy beaches and diverse bird and butterfly communities educational and ecotourism markets are promising For details on this project please refer to the Special Edition of the journal Biodiversity and Conservation April 2000 I served as project leader of the terrestrial survey The JavaMath Project An interdisciplinary project between Mathematics Computer Science and Biology to develop a suite of JAVA components beans that can be uniquely configured in a wide variety of ways for use on instructional Web pages as interactive illustrations special purpose calculators support for exercises and so forth REFEREED PUBLICATIONS Ryan J M and Y Ntiamoa Baidu 2000 Biodiversity and ecology of coastal wetlands in Ghana Biodiversity and Conservation vol 9 445 446 Ryan J M and D Attuquayefio 2000 Mammal fauna of the Muni Pomadze Ramsar site Ghana Biodiversity and Conservation vol 9 541 560 Gordon C Y Ntiamoa Baidu and J M Ryan 2000 The Muni Pomadze Ramsar site Biodiversity and Conservation vol 9 447 464 Vaughan T A J M Ryan and N J Czaplewski 1999 Mammalogy 4 th edition Saunders College Publishers Philadelphia Pp Hermanson J W Ryan J M Cobb M A Bentley J and W A Schutt 1998 Histochemical and electrophoretic analysis of the primary flight muscle of several phylostomid bats Can J Zool 76 1983 1992 Kolmes S K Mitchell and J Ryan 1998 Optimal foraging theory Pp 97 140 In UMAP Modules 1997 Tools for Teaching

Original URL path: http://math.hws.edu/javamath/ryan/Ryan.html (2016-02-07)

Open archived version from archive - xFunctions Educational Mathematics Applet -- Using Examples

is graphed on the Main Screen Note that they are not the domain and range of the function They merely specify what region of the xy plane is displayed on the Main Screen by default The type of function is one of the words expression table or graph Again xFunctions will actually only look at the first character so you can abbreviate these to e t and g The name of the function can be any sequence of letters and digits as long as it begins with a letter You cannot redefine a function that is already defined The letters can be either upper or lower case When names are used in expressions xFunctions doesn t distinguish between upper and lower case However when it places functions in the list on the Main Screen it will order upper case letters before lower case letters You can make the functions that you define easier to find if you start their names with upper case letters so that they appear at the top of the list Expression Functions An expression function is defined by from one to eight expressions These are the same expressions that would be entered in the Expression Function Input Screen in xFunctions Note that if you have more than one expression then every even numbered expression must be a logical valued expression such as x 3 which defines the domain on which the previous expression is valid For an expression function example the defining expressions are simply listed as separate items in the example separated by semicolons after the four standard items Here is list of the items that go into an expression function example the word function or anything beginning with f a list of four numbers separated by commas giving the xy limits for the display on the Main Screen the word expression or anything beginning with e the name of the function you are defining anywhere from one to eight expressions that define the function separated by more semicolons For example here is how you could define the hyperbolic functions and add them to the function list one the Main Screen Once they are there they can be used just like the built in functions Note that spaces between items or between numbers in a list are not significant f 3 3 3 3 e sinh e x e x 2 f 3 3 3 3 e cosh e x e x 2 f 3 3 3 3 e tanh sinh x cosh x Table Functions A table function is defined by a list of xy points that lie on the graph of the function You also have to specify how to fill in the graph between points There are three possible styles a step function a piecewise linear function or a smooth function In an example the style is specified in order of increasing quality as one of the numbers 1 2 or 3 The specification for a table function includes the following items the word function or anything beginning with f a list of four numbers separated by commas giving the xy limits for the display on the Main Screen the word table or anything beginning with t the name of the function you are defining one of the numbers 1 2 or 3 to specify whether its a step function piecewise linear or smooth two or more points where each point is a pair of numbers separated by a comma The x values of the points must be in strictly increasing order The points are separated by semicolons For example this defines a piecewise linear function named W that looks like a W f 5 5 0 5 t W 2 4 4 2 0 0 2 2 0 4 4 Graph Functions A graph function is a sequence of Bezier segments Each segment is defined by a list of six numbers separated by commas The numbers give the x coordinate of the left endpoint the y coordinate of the left endpoint the slope of the graph at the left endpoint the x coordinate of the right endpoint the y coordinate of the right endpoint the slope of the graph at the right endpoint The x coordinates in a segment must agree with the x coordinates of its neighbors It is not possible to define graphs with gaps in the domain The y coordinates don t have to agree so you can make functions with discontinuities Even if the y coordinates of neighboring segments do agree the slopes don t have to agree so you can make functions with corners The specification of a graph function consists of the following items the word function or anything beginning with f a list of four numbers separated by commas giving the xy limits for the display on the Main Screen the word graph or anything beginning with g the name of the function you are defining specifications for one or more bezier segments separated by semicolons Each segment is specified as a list of six numbers as described above separated by commas Here is an example that defines a graph function named Grf consisting of two bezier segments with a sharp corner at the point 0 0 and with horizontal tangents at 2 1 and 2 1 f 2 2 0 2 g Grf 2 1 0 0 0 5 0 0 5 2 1 0 Examples for the Utilities To define an example for one of the seven utilities you have to say what goes into each of the inputs on that utility screen In all cases this includes a set of values for xmin xmax ymin ymax and possibly for other numerical values It also includes one or more expressions to define the functions that the utility will use There might be other inputs such as the checkbox labeled Loop back and forth in the Animate Utility or the radio buttons for controlling the style of graph in the Graph 3D Utility

Original URL path: http://math.hws.edu/xFunctions/using_examples.html (2016-02-07)

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it please get my permission first xFunctions can be found on the Web at http math hws edu xFunctions Please send comments to me at the above email address The use of xFunctions is explained in the file index html The file using examples html tells you how to write examples that xFunctions will load them when it starts up The file example file txt contains some examples of this sort TO POST xFunctions ON YOUR WEB SITE Just place the entire folder that you get when you unzip the web site download on your Web server Note that the file xFunctions jar contains the program and it can be used on other web pages You are certainly welcome to use xFunctions on your own Web pages For instructional Web pages I suggest using the Launcher version so that students can resize the xFunctions window and can move back and forth easily between the xFunctions window and the Web page TO RUN xFunctions AS A STANDALONE APPLICATION If you have a Java interpreter such as the one in Sun Microsystem s Java Development Kit JDK or Java Runtime Environment JRE you can run xFunctions as a standalone applications instead of

Original URL path: http://math.hws.edu/xFunctions/README.txt (2016-02-07)

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x sin x cos x animation Tweening Animation 8 8 2 2 0 1 50 sin x k 1 x 2 1 1 k false param Squiggly Curve 6 6 6 6 0 6 3 300 2 cos 5 t 3 cos 9 t 2 sin 10 t 4 sin 2 t derivatives Bezier Curve Derivative 5 5 5 5 b x reimann Close to e 1 2 718 0 1 5 10 1 x 3 graph3d Singularity 2 2 2 2 2 2 20 1 x 2 y 2 2 g 3D Graph with Table Function 5 5 5 5 5 10 32 Tbl x Tbl y 4 integral curves Attracting Repelling 1 5 1 5 1 5 1 5 0 1 0 01 x 2 y 2 1 x y x y 3 true 1 2 1 2 0 8 1 2 0 4 1 2 0 1 2 4 1 2 8 1 2 1 2 1 2 1 2 0 8 0 8 0 8 0 4 0 8 0 0 8 4 0 8 8 0 8 1 2 0 8 1 2 0 4 0 8 0 4 0 4 0 4 0 0

Original URL path: http://math.hws.edu/xFunctions/example_file.txt (2016-02-07)

Open archived version from archive- Index of /xFunctions/source

compile 2012 12 06 11 07 389 manifest txt 2012 12 06 11 07 29 xFunctionsApplet java 2012 12 06 11 07 637 xFunctionsFrame java 2012 12 06 11 07 1 3K xFunctionsLauncher java 2012 12 06 11 07 1

Original URL path: http://math.hws.edu/xFunctions/source/ (2016-02-07)

Open archived version from archive - The Mandelbrot Set

250 different colors are available in a palette The color of a pixel depends on how many iterations are needed to determine that the point is not in the Mandelbrot set However the maximum number of iterations can be set to be much higher than 250 This means that the same color has to be used for several different iteration counts In the Duplicate Palette setting the colors are used for the first 250 iteration counts then they are reused for the next 250 then for the next 250 and so on This means that the same color is used when the iteration count is N N 250 N 500 N 750 and so on With the Stretch Palette setting a single copy of the palette is stretched to cover the entire palette If the maximum iteration count is 1000 for example then color number 1 is used for an iteration count of 0 1 2 3 or 4 color number 2 is used for a count of 5 6 7 8 or 9 color number 3 for 10 11 12 13 or 14 and so on The two settings can give very different visualizations of the Mandelbrot set For example look at Example number 11 This example uses Duplicate Palette After the drawing is completed change the setting to Stretch Palette in the Palette menu and redraw the image by selecting Start Drawing from the Control menu Very different This is also a good example for trying out a Palette Animation from the Palette Menu Animations are cool but are also useful because certain parts of the spectrum will show more detail in the picture than others Try animating the Stretch Palette version of Example 11 I will leave you to explore the rest of the menus on your own The MandelbrotOrbits Applet The iterations mentioned above consist of computing a sequence of points starting from the point that you are interested in This sequence is called the orbit of the point The MandelbrotOrbits applet lets you investigate the orbits sequences of points that are produced in this way This is a fairly simple applet It shows a gray scale version of the Mandelbrot set There are no menus and you can t zoom in on the set However you can click on a point to see the orbit associated with that point The x and y coordinates of the starting point are shown in the input boxes at the bottom of the applet You can also select the starting point by editing the contents of these boxes press return in one of the boxes or click the Set button to make the change effective Only the first 120 points by default on an orbit are shown The number of points can be varied between 1 and 1000 using the slider on the bottom right The points are colored with the colors of the spectrum from red to violet so you can tell the order in which the points

Original URL path: http://math.hws.edu/xJava/MBold/index.html (2016-02-07)

Open archived version from archive - Index of /xJava/MB/xMandelbrotSource-1-2

9 8K build bat 2011 06 06 13 38 1 4K build sh 2011 06 06 13 38 1 1K edu 2011 06 06 13 38 export mac sh 2011 06 06 13 38 438 export sh 2011 06 06

Original URL path: http://math.hws.edu/xJava/MB/xMandelbrotSource-1-2/ (2016-02-07)

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