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  • Using Taylor Polynomials Programmatically in Maple

    - by kzh
    I am trying to use a Taylor polynomial programmatically in Maple, but the following does not seem to work... T[6]:=taylor(sin(x),x=Pi/4,6);convert(T[6], polynom, x); f:=proc(x) convert(T[6], polynom, x); end proc; f(1); All of the following also do not work: f:=convert(T[6], polynom); f:=convert(T[6], polynom, x); f:=x->convert(T[6], polynom); f:=x->convert(T[6], polynom, x);. Is there a way of doing this without copying and pasting the output of convert into the definition of f?

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  • Using Taylor Series to Avoid Loss of Precision

    - by Zachary
    I'm trying to use Taylor series to develop a numerically sound algorithm for solving a function. I've been at it for quite a while, but haven't had any luck yet. I'm not sure what I'm doing wrong. The function is f(x)=1 + x - sin(x)/ln(1+x) x~0 Also: why does loss of precision even occur in this function? when x is close to zero, sin(x)/ln(1+x) isn't even close to being the same number as x. I don't see where significance is even being lost. In order to solve this, I believe that I will need to use the Taylor expansions for sin(x) and ln(1+x), which are x - x^3/3! + x^5/5! - x^7/7! + ... and x - x^2/2 + x^3/3 - x^4/4 + ... respectfully. I have attempted to use like denominators to combine the x and sin(x)/ln(1+x) components, and even to combine all three, but nothing seems to work out correctly in the end. Any help is appreciated.

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  • Need help programming with Mclauren series and Taylor series!

    - by user352258
    Ok so here's what i have so far: #include <stdio.h> #include <math.h> //#define PI 3.14159 int factorial(int n){ if(n <= 1) return(1); else return(n * factorial(n-1)); } void McLaurin(float pi){ int factorial(int); float x = 42*pi/180; int i, val=0, sign; for(i=1, sign=-1; i<11; i+=2){ sign *= -1; // alternate sign of cos(0) which is 1 val += (sign*(pow(x, i)) / factorial(i)); } printf("\nMcLaurin of 42 = %d\n", val); } void Taylor(float pi){ int factorial(int); float x; int i; float val=0.00, sign; float a = pi/3; printf("Enter x in degrees:\n"); scanf("%f", &x); x=x*pi/180.0; printf("%f",x); for(i=0, sign=-1.0; i<2; i++){ if(i%2==1) sign *= -1.0; // alternate sign of cos(0) which is 1 printf("%f",sign); if(i%2==1) val += (sign*sin(a)*(pow(x-a, i)) / factorial(i)); else val += (sign*cos(a)*(pow(x-a, i)) / factorial(i)); printf("%d",factorial(i)); } printf("\nTaylor of sin(%g degrees) = %d\n", (x*180.0)/pi, val); } main(){ float pi=3.14159; void McLaurin(float); void Taylor(float); McLaurin(pi); Taylor(pi); } and here's the output: McLaurin of 42 = 0 Enter x in degrees: 42 0.733038-1.00000011.0000001 Taylor of sin(42 degrees) = -1073741824 I suspect the reason for these outrageous numbers goes with the fact that I mixed up my floats and ints? But i just cant figure it out...!! Maybe its a math thing, but its never been a strength of mine let alone program with calculus. Also the Mclaurin fails, how does it equal zero? WTF! Please help correct my noobish code. I am still a beginner...

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  • Function approximation with Maclaurin series

    - by marines
    I need to approx (1-x)^0.25 with given accuracy (0.0001 e.g.). I'm using expansion found on Wikipedia for (1+x)^0.25. I need to stop approximating when current expression is less than the accuracy. long double s(long double x, long double d) { long double w = 1; long double n = 1; // nth expression in series long double tmp = 1; // sum while last expression is greater than accuracy while (fabsl(tmp) >= d) { tmp *= (1.25 / n - 1) * (-x); // the next expression w += tmp; // is added to approximation n++; } return w; } Don't mind long double n. :P This works well when I'm not checking value of current expression but when I'm computing 1000 or more expressions. Domain of the function is <-1;1 and s() calculates approximation well for x in <-1;~0.6. The bigger the argument is the bigger is the error of calculation. From 0.6 it exceeds the accuracy. I'm not sure if the problem is clear enough because I don't know English math language well. The thing is what's the matter with while condition and why the function s() doesn't approximate correctly.

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  • DOM: element created with cloneNode(true) missing element when added to DOM

    - by user149327
    I'm creating a tree control and I'm attempting to use a parent element as a template for its children. To this end I'm using the element.cloneNode(true) method to deep clone the parent element. However when I insert the cloned element into the DOM it is missing certain inner elements despite having an outerHTML value identical to its parent. Surprisingly I observe the same behavior is in IE, Firefox, and Chrome leading me to believe that it is by design. This is the HTML for the node I'm attempting to clone. <SPAN class=node><A class=nodeLink href="/SparklerRestService2.aspx?q={0}" name=http://dbpedia.org/data/Taylor_Swift.rdf> <IMG class=nodeIcon alt="Taylor Swift" src="images/node.png"><SPAN class=nodeText>Taylor Swift</SPAN></A><SPAN class=nodeDescription>Taylor Swift is a swell gall who is realy great.</SPAN></SPAN> Once I've cloned the node using cloneNode(true) I examine the outerHTML property and find that it is indeed identical to the original. <SPAN class=node><A class=nodeLink href="/SparklerRestService2.aspx?q={0}" name=http://dbpedia.org/data/Taylor_Swift.rdf><IMG class=nodeIcon alt="Taylor Swift" src="images/node.png"><SPAN class=nodeText>Taylor Swift</SPAN></A><SPAN class=nodeDescription>Taylor Swift is a swell gall who is realy great.</SPAN></SPAN> However when I insert it into the DOM and inspect the result using FireBug I find that the element has been transformed: <span class="node" style="top: 0px; left: 0px;"<a class=nodeLink href="/SparklerRestService2.aspx?q={0}" name=http://dbpedia.org/data/Taylor_Swift.rdf>Taylor Swift</a><span class="nodeDescription">It's great</span></span> Notice that the grandchildren of the node (the image tag and the span tag surrounding "Taylor Swift") are missing, although strangely the great grandchild "Taylor Swift" text node has made it into the tree. Can anyone shed some light on this behavior? Why would nodes disappear after insertion into the DOM, and why am I seeing the same result in all three major browser engines?

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  • Case insensitive Regex without using RegexOptions enumeration

    - by spoon16
    Is it possible to do a case insensitive match in C# using the Regex class without setting the RegexOptions.IgnoreCase flag? What I would like to be able to do is within the regex itself define whether or not I want the match operation to be done in a case insensitive manner. I would like this regex, taylor, to match on the following values: Taylor taylor taYloR

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  • First Look - Oracle Data Mining

    - by kimberly.billings
    In his blog, JT on EDM, James Taylor shares his analysis of Oracle Data Mining, including its new GUI and Exadata integration. While Oracle Data Mining has been available for a while, it is now easier to access and try via the Amazon Cloud. Using the Oracle 11gR2 Data Mining Amazon Machine Image (AMI), you can launch an Oracle Data Mining-enabled instance directly through Amazon Web Services (AWS) and connect to it using the Oracle Data Miner graphical user interface. The new Oracle Data Mining GUI, which will be available to beta customers soon, provides more graphics, the ability to define, save and share analytical "work flows" to solve business problems, and provides more automation and simplicity. Taylor comments that, "the UI looks to have a nice look and feel including graphical model development flows, easy access to the data, nice little micro graphs when browsing data records and more." On using Oracle Data Mining with Exadata, Taylor writes, "Oracle says that the use of the ODM routines in the Exadata kernel is faster than running a native ODM model in the database by a factor of 2 and that this increases as more joins are used. This could mean that ODM outperforms even third party in-database analytics." Taylor concludes his blog with a positive overall review, stating that "ODM is a nice product for Oracle database customers and well worth looking into. The new UI will only make it more so." Read the blog. var gaJsHost = (("https:" == document.location.protocol) ? "https://ssl." : "http://www."); document.write(unescape("%3Cscript src='" + gaJsHost + "google-analytics.com/ga.js' type='text/javascript'%3E%3C/script%3E")); try { var pageTracker = _gat._getTracker("UA-13185312-1"); pageTracker._trackPageview(); } catch(err) {}

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  • How to get only one row for each distinct value in the column ?

    - by Chavdar
    Hi Everybody, I have a question about Access.If for example I have a table with the following data : NAME | ADDRESS John Taylor | 33 Dundas Ave. John Taylor | 55 Shane Ave. John Taylor | 786 Edward St. Ted Charles | 785 Bloor St. Ted Charles | 90 New York Ave. I want to get one record for each person no matter of the address.For example : NAME | ADDRESS John Taylor | 33 Dundas Ave. Ted Charles | 90 New York Ave. Can this be done with queries only ? I tried using DISTINCT, but when I am selecting both columns, the combination is allways unique so I get all the rows. Thank you !

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  • Jquery Flexslider - can't see navigational images (manualControl)

    - by Kim Thomas
    I've spent a lot of time looking at the post on 3/13/12 re: manual controls, but isn't getting me all the way there...probably because I don't know jquery. Sorry, newbie on board. I'm trying to get the right/left arrows to show, as well as the 1, 2, 3...at the bottom. They are there, I see the lists on Firebug, just don't know how to add them to the "hook" (?) so they appear. Here is the code I have in header: <script src="http://ajax.googleapis.com/ajax/libs/jquery/1.7.1/jquery.min.js" type="text/javascript"></script> <script src="jquery.flexslider.js"></script> <script type="text/javascript" charset="utf-8"> $(window).load(function() { $('.flexslider').flexslider({ animation: "slide", slideshow: false, controlNav: true, manualControls: ".flex-control-nav li a", controlsContainer: ".flex-container" }); }); </script> Here is my html: <div class="flex-container"> <div class="flexslider"> <ul class="slides"> <li><img src="images/tah_home.jpg" alt="taylor art house home page" width="600" height="320"/> <p class="flex-caption">Taylor Art House Home Page</p></li> <li><img src="images/tah_blog.jpg" alt="taylor art house blog page" width="600" height="320" /> <p class="flex-caption">We created a blog that fits seemlessly into Taylor Art House's look</p></li> <li><img src="images/tah_artwork_page.jpg" alt="taylor art house art page" width="600" height="320" /> <p class="flex-caption">One of Taylor Art House's gallery pages, using a Wordpress plugin</p></li> <li><img src="images/tah_arch_portfolio.jpg" alt="jon taylor architecture portfolio page" width="600" height="320" /> <p class="flex-caption">We created links to toggle from TAH to Jon Taylor Architecture</p></li> </ul> </div><!--end flexsider--> </div><!--end flex-container--> Here is the Flexslider CSS: /* * jQuery FlexSlider v1.8 * http://www.woothemes.com/flexslider/ * * Copyright 2012 WooThemes * Free to use under the MIT license. * http://www.opensource.org/licenses/mit-license.php */ /* Browser Resets */ .flex-container a:active, .flexslider a:active, .flex-container a:focus, .flexslider a:focus {outline: none;} .slides, .flex-control-nav, .flex-direction-nav {margin: 0; padding: 0; list-style: none;} /* FlexSlider Necessary Styles *********************************/ .flexslider { width: 100%; margin: 0; padding: 0; } .flexslider .slides > li { display: none; -webkit-backface-visibility: hidden; } /* Hide the slides before the JS is loaded. Avoids image jumping */ .flexslider .slides img { max-width: 100%; display: block; } .flex-pauseplay span { text-transform: capitalize; } /* Clearfix for the .slides element */ .slides:after { content: "."; display: block; clear: both; visibility: hidden; line-height: 0; height: 0; } html[xmlns] .slides { display: block; } * html .slides { height: 1%; } /* No JavaScript Fallback */ /* If you are not using another script, such as Modernizr, make sure you * include js that eliminates this class on page load */ .no-js .slides > li:first-child { display: block; } /* FlexSlider Default Theme *********************************/ .flexslider { width: 600px; background: #fff; border: 4px solid #999; position: relative; margin: 30px 0; -webkit-border-radius: 5px; -moz-border-radius: 5px; -o-border-radius: 5px; border-radius: 5px; zoom: 1; } .flexslider .slides { zoom: 1; } .flexslider .slides > li { position: relative; } /* Suggested container for "Slide" animation setups. Can replace this with your own, if you wish */ .flex-container { zoom: 1; position: relative; margin-left:100px; } /* Caption style */ /* IE rgba() hack */ .flex-caption { background:none; -ms-filter:progid:DXImageTransform.Microsoft.gradient(startColorstr=#4C000000,endColorstr=#4C000000); filter:progid:DXImageTransform.Microsoft.gradient(startColorstr=#4C000000,endColorstr=#4C000000); zoom: 1; } .flex-caption { width: 96%; padding: 2%; margin: 0; position: absolute; left: 0; bottom: 0; background: rgba(0,0,0,.3); color: #fff; text-shadow: 0 -1px 0 rgba(0,0,0,.3); font-size: 14px; line-height: 18px; } /* Direction Nav */ .flex-direction-nav { height: 0; } .flex-direction-nav li a { width: 52px; height: 52px; margin: -13px 0 0; display: block; background: url(theme/bg_direction_nav.png) no-repeat; position: absolute; top: 50%; cursor: pointer; text-indent: -999em; } .flex-direction-nav li .next { background-position: -52px 0; right: -21px; } .flex-direction-nav li .prev { left: -20px; } .flex-direction-nav li .disabled { opacity: .3; filter:alpha(opacity=30); cursor: default; } /* Control Nav */ .flex-control-nav { width: 100%; position: absolute; bottom: -30px; text-align: center; } .flex-control-nav li { margin: 0 0 0 5px; display: inline-block; zoom: 1; *display: inline; } .flex-control-nav li:first-child { margin: 0; } .flex-control-nav li a { width: 13px; height: 13px; display: block; background: url(theme/bg_control_nav.png) no-repeat; cursor: pointer; text-indent: -999em; } .flex-control-nav li a:hover { background-position: 0 -13px; } .flex-control-nav li a.active { background-position: 0 -26px; cursor: default; } Here is how it appears in Firebug: <div class="flex-container"> <div class="flexslider" style="overflow: hidden;"> <ul class="slides" style="width: 1200%; margin-left: -1800px;"> <li class="clone" style="width: 600px; float: left; display: block;"> <li style="width: 600px; float: left; display: block;"> <li style="width: 600px; float: left; display: block;"> <li style="width: 600px; float: left; display: block;"> <li style="width: 600px; float: left; display: block;"> <li class="clone" style="width: 600px; float: left; display: block;"> </ul> </div> <ol class="flex-control-nav"> <li> <a class="">1</a> </li> <li> <li> <li> </ol> <ul class="flex-direction-nav"> <li> <a class="prev" href="#">Previous</a> </li> <li> <a class="next" href="#">Next</a> </li> </ul> </div> Finally, here is a link to the jsFiddle file (I saw someone wanted that in other flexslider post): http://jsfiddle.net/kthms/Wxmsp/ Link to page: http://www.kajortdesigns.com/tah.php I've tried every combo of class from the CSS in the manualControl: "", but I'm just guessing. If anyone can help this newbie out, I would be very appreciative. Explicit instructions are always appreciated.

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  • How to Get All the Windows 8 Editions on One Install Disk

    - by Taylor Gibb
    There are a lot of different versions of Windows, but you probably didn’t know that short of the Enterprise edition, the disc or image that you own contains all versions for that architecture. Read on to see how we can use them to make a universal Windows 8 install disc. Things You Will Need A x86 Version of Windows 8 A x64 Version of Windows 8 A x86 Version of Windows 8 Enterprise A x64 Version of Windows 8 Enterprise A Windows 8 PC Note: While we will use all the images above you don’t really need the Enterprise Edition. You could always leave out parts of the tutorial if you know what you are doing, if you are not comfortable with that and still want to follow through you could always grab the Enterprise evaluation images that are available for free to the public, on MSDN. Getting Started To get started you will need to Download the Windows 8 ADK from Microsoft. Once downloaded go ahead and install it, you will only need the Deployment tools so be sure to uncheck the rest of the options. Lastly you will also need to create the following folder structure on the root of your C:\ drive to make things a bit easier. C:\Windows8Root C:\Windows8Root\x86 C:\Windows8Root\x64 C:\Windows8Root\Enterprisex86 C:\Windows8Root\Enterprisex64 C:\Windows8Root\Temp C:\Windows8Root\Final OK lets get started. Making The Image The first thing we need to do is create a base image, so mount the x86 version of Windows 8 and copy its files to: C:\Windows8Root\Final Now move the install.wim file from: C:\Windows8Root\Final\sources To: C:\Windows8Root\x86 Next go ahead and copy the install.wim file from the other 3 images, Windows 8 x64, Windows 8 Enterprise x86 and Windows 8 Enterprise x64 to the respective folders in Windows8Root, the install.wim file can be located at: D:\sources\install.wim Note: The above assumes that the images are always mounted at drive D. Remember that each install.wim is different so don’t copy them to the wrong directories or the rest of the tutorial wont work. Next switch to the Metro Start Screen and open the Deployment and Imaging Tools Environment. Note: If you are not a local administrator on your PC, you will need to right-click on it and choose to run it as an administrator. Now run the following commands: Dism /Export-Image /SourceImageFile:c:\Windows8Root\x86\install.wim /SourceIndex:2 /DestinationImageFile:c:\Windows8Root\Final\sources\install.wim /DestinationName:”Windows 8″ /compress:maximum Dism /Export-Image /SourceImageFile:c:\Windows8Root\x86\install.wim /SourceIndex:1 /DestinationImageFile:c:\Windows8Root\Final\sources\install.wim /DestinationName:”Windows 8 Pro” /compress:maximum Dism /Export-Image /SourceImageFile:c:\Windows8Root\x86\install.wim /SourceIndex:1 /DestinationImageFile:c:\Windows8Root\Final\sources\install.wim /DestinationName:”Windows 8 Pro with Media Center” /compress:maximum Dism /Export-Image /SourceImageFile:c:\Windows8Root\Enterprisex86\install.wim /SourceIndex:1 /DestinationImageFile:c:\Windows8Root\Final\sources\install.wim /DestinationName:”Windows 8 Enterprise” /compress:maximum Dism /Export-Image /SourceImageFile:c:\Windows8Root\x64\install.wim /SourceIndex:2 /DestinationImageFile:c:\Windows8Root\Final\sources\install.wim /DestinationName:”Windows 8″ /compress:maximum Dism /Export-Image /SourceImageFile:c:\Windows8Root\x64\install.wim /SourceIndex:1 /DestinationImageFile:c:\Windows8Root\Final\sources\install.wim /DestinationName:”Windows 8 Pro” /compress:maximum Dism /Export-Image /SourceImageFile:c:\Windows8Root\x64\install.wim /SourceIndex:1 /DestinationImageFile:c:\Windows8Root\Final\sources\install.wim /DestinationName:”Windows 8 Pro with Media Center” /compress:maximum Dism /Export-Image /SourceImageFile:c:\Windows8Root\Enterprisex64\install.wim /SourceIndex:1 /DestinationImageFile:c:\Windows8Root\Final\sources\install.wim /DestinationName:”Windows 8 Enterprise” /compress:maximum Next navigate to: C:\Windows8Root\sources\ And create a new text file. You will need to call it: EI.cfg Then edit it to look like the following: The last thing we need to do is work some magic to get Windows Media Center added to the WMC editions of Windows 8. For that I have written a little script to make it easier for everybody, you can grab it here. Once you have downloaded it extract it. In order to use it right-click in the bottom left hand corner of the screen, and open an elevated command prompt. Then go ahead and paste the following into the command prompt window. powershell.exe -ExecutionPolicy Unrestricted -File C:\Users\Taylor\Documents\HTGWindows8Converter.ps1 Note: You will need to replace the path to the script, another thing to note is that if the path you replace it with has spaces you will need to enclose the path in quotes. The script should kick off straight away and has some progress bars you can watch while it does its thing. Half way through another Window will pop open, which will start creating your final ISO image. When its complete, close the command prompt and you should have an ISO image on the root of your C drive called: HTGWindows8.iso That’s all there is to it. 7 Ways To Free Up Hard Disk Space On Windows HTG Explains: How System Restore Works in Windows HTG Explains: How Antivirus Software Works

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  • iPhone zoom to userLocation

    - by Taylor Satula
    Hi, I need help making my iPhone app zoom to the users current location. I have seen this answered before on StackOverflow ( http://stackoverflow.com/questions/2423236/zoom-on-userlocation )but I have no idea what I am doing when it comes to iPhone development (I make websites not iPhone apps). I need it explained extremely simply, down to where the code snippets go starting from a blank project. Any help is very much appreciated. -- Taylor

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  • Cut Caseload Costs, Speed Service Delivery For Social Services

    - by michael.seback
    Lower Caseload Costs, Speedier Service Delivery with New Oracle Social Services Solution Oracle has just introduced a new solution for social services agencies that's designed to help case workers address the challenges of rising workloads and growing demands by citizens for additional services. In the past, IT departments developed custom software in an effort to meet program outcomes. "Because this capability is out of the box with the Oracle solution, there's less complexity for organizations and an overall lower total cost of ownership," says Kimberly Ellison-Taylor, Oracle's executive director of health and human services. "Self service brings costs down to just pennies per interaction and makes it possible for clients to receive government services more quickly," Ellison-Taylor says. read more

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  • Thank You For Visiting Us At Oracle OpenWorld And JavaOne

    - by Brandye Barrington
    Thanks to everyone who visited us at the Oracle OpenWorld and JavaOne conferences last week. We always enjoy putting faces with names and meeting those of you who are certified or are interested in Certification. Personally, I spent my week on sunny Taylor street at the Java Certification Zone in Taylor Street Cafe.  I talked to over 100 people last week about certification and handed out over 65 ribbons. The Oracle Certification Lounge at OpenWorld, at Moscone South enjoyed more than 200 visitors over the week. Both locations offered scheduled speakers and available experts, in addition to answers to all of your certification questions and account help when needed. We look forward to this opportunity every year to connect with you face to face. If you didn't make it out this year, we hope to see you next year - perhaps we will be so lucky as to enjoy another unseasonably warm week in San Francisco! Stay tuned to our blog for some customer success stories that we were able to record last week.

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  • Maven 3 - duplicate declaration of version

    - by Taylor Leese
    I just upgraded to m2eclipse version 0.10 which includes an embedded Maven 3 and I'm now getting the following error when trying to run a build. I've already set Maven-Installations to my Maven 2 installation, but it had no effect. How do I resolve this? [INFO] Scanning for projects... [ERROR] The build could not read 1 project -> [Help 1] [ERROR] The project com.stuff:sutff-web:0.0.1-SNAPSHOT (C:\development\taylor\stuff\pom.xml) has 1 error [ERROR] 'dependencies.dependency.(groupId:artifactId:type:classifier)' must be unique: com.google.appengine:appengine-api-labs:jar -> duplicate declaration of version ${gae.version} [ERROR] [ERROR] To see the full stack trace of the errors, re-run Maven with the -e switch. [ERROR] Re-run Maven using the -X switch to enable full debug logging. [ERROR] [ERROR] For more information about the errors and possible solutions, please read the following articles: [ERROR] [Help 1] http://cwiki.apache.org/confluence/display/MAVEN/ProjectBuildingException

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  • How to get the Blur event to fire for the document on the iPhone?

    - by Ian Storm Taylor
    Does anyone know how to get the blur event to fire on the document for the iPhone? I'm trying to get it to fire either when a user changes windows in Safari, or when they open their bookmarks or when they decide to add the page to their homescreen. But none of these are firing it. Here's my code: $(document).blur( function () { document.title = "Ian Taylor"; }); I've tried "document", "window", "'body'". Nothing seems to work.

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  • Runge-Kutta (RK4) integration for game physics

    - by Kai
    Gaffer on Games has a great article about using RK4 integration for better game physics. The implementation is straightforward but the math behind it confuses me. I understand derivatives and integrals on a conceptual level but I haven't manipulated equations in a long time. Here's the brunt of Gaffer's implementation: void integrate(State &state, float t, float dt) { Derivative a = evaluate(state, t, 0.0f, Derivative()); Derivative b = evaluate(state, t+dt*0.5f, dt*0.5f, a); Derivative c = evaluate(state, t+dt*0.5f, dt*0.5f, b); Derivative d = evaluate(state, t+dt, dt, c); const float dxdt = 1.0f/6.0f * (a.dx + 2.0f*(b.dx + c.dx) + d.dx); const float dvdt = 1.0f/6.0f * (a.dv + 2.0f*(b.dv + c.dv) + d.dv) state.x = state.x + dxdt * dt; state.v = state.v + dvdt * dt; } Can anybody explain in simple terms how RK4 works? Specifically, why are we averaging the derivatives at 0.0f, 0.5f, 0.5f, and 1.0f? How is averaging derivatives up to the 4th order different from doing a simple euler integration with a smaller timestep? After reading the accepted answer below, and several other articles, I have a grasp on how RK4 works. To answer my own questions: Can anybody explain in simple terms how RK4 works? RK4 takes advantage of the fact that we can get a much better approximation of a function if we use its higher-order derivatives rather than just the first or second derivative. That's why the Taylor series converges much faster than Euler approximations. (take a look at the animation on the right side of that page) Specifically, why are we averaging the derivatives at 0.0f, 0.5f, 0.5f, and 1.0f? The Runge-Kutta method is an approximation of a function that samples derivatives of several points within a timestep, unlike the Taylor series which only samples derivatives of a single point. After sampling these derivatives we need to know how to weigh each sample to get the closest approximation possible. An easy way to do this is to pick constants that coincide with the Taylor series, which is how the constants of a Runge-Kutta equation are determined. This article made it clearer for me: http://web.mit.edu/10.001/Web/Course%5FNotes/Differential%5FEquations%5FNotes/node5.html. Notice how (15) is the Taylor series expansion while (17) is the Runge-Kutta derivation. How is averaging derivatives up to the 4th order different from doing a simple euler integration with a smaller timestep? Mathematically it converges much faster than doing many Euler approximations. Of course, with enough Euler approximations we can gain equal accuracy to RK4, but the computational power needed doesn't justify using Euler.

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  • Grails + GAE - Issue using app.servlet.version=2.5

    - by Taylor L
    Updating the servlet version in application.properties to 2.5 has no affect on the generated web.xml. The generated web.xml is still version 2.4. app.servlet.version=2.5 Also, if I try to execute "run-app" I get the exception below: Running Grails application.. Starting AppEngine generated indices thread. Starting reload monitor thread. [java] Jan 26, 2010 5:27:05 AM com.google.apphosting.utils.jetty.JettyLogger warn [java] WARNING: Failed startup of context [email protected]460d{/,C:\Users\Taylor Leese\workspace\test-gae\web-app} [java] java.lang.IllegalStateException: No such servlet: grails [java] at org.mortbay.jetty.servlet.ServletHandler.updateMappings(ServletHandler.java:953) [java] at org.mortbay.jetty.servlet.ServletHandler.setServletMappings(ServletHandler.java:1037) [java] at org.mortbay.jetty.webapp.WebXmlConfiguration.initialize(WebXmlConfiguration.java:305) [java] at org.mortbay.jetty.webapp.WebXmlConfiguration.configure(WebXmlConfiguration.java:222) [java] at org.mortbay.jetty.webapp.WebXmlConfiguration.configureWebApp(WebXmlConfiguration.java:180) [java] at org.mortbay.jetty.webapp.WebAppContext.startContext(WebAppContext.java:1215) [java] at org.mortbay.jetty.handler.ContextHandler.doStart(ContextHandler.java:500) [java] at org.mortbay.jetty.webapp.WebAppContext.doStart(WebAppContext.java:448) [java] at org.mortbay.component.AbstractLifeCycle.start(AbstractLifeCycle.java:40) [java] at org.mortbay.jetty.handler.HandlerWrapper.doStart(HandlerWrapper.java:117) [java] at org.mortbay.component.AbstractLifeCycle.start(AbstractLifeCycle.java:40) [java] at org.mortbay.jetty.handler.HandlerWrapper.doStart(HandlerWrapper.java:117) [java] at org.mortbay.jetty.Server.doStart(Server.java:217) [java] at org.mortbay.component.AbstractLifeCycle.start(AbstractLifeCycle.java:40) [java] at com.google.appengine.tools.development.JettyContainerService.startContainer(JettyContainerService.java:188) [java] at com.google.appengine.tools.development.AbstractContainerService.startup(AbstractContainerService.java:120) [java] at com.google.appengine.tools.development.DevAppServerImpl.start(DevAppServerImpl.java:217) [java] at com.google.appengine.tools.development.DevAppServerMain$StartAction.apply(DevAppServerMain.java:162) [java] at com.google.appengine.tools.util.Parser$ParseResult.applyArgs(Parser.java:48) [java] at com.google.appengine.tools.development.DevAppServerMain.<init>(DevAppServerMain.java:113) [java] at com.google.appengine.tools.development.DevAppServerMain.main(DevAppServerMain.java:89) [java] The server is running at http://localhost:8080/ Any ideas how to resolve these issues?

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  • Using JCA Adapter with OSB 11.1.1.3

    - by James Taylor
    In OSB 10g to use the JCA adapters you were required to use JDeveloper to create the necessary WSDLs and XSDs etc using the associated adapter wizard. These files were imported into Oracle Workshop (Eclipse) and used to create the business service as you would any other web service. In 11g unfortunately JDeveloper is still required. The process has changed slightly as described below. As an example I have used the JCA DB adapter as an example. Start JDeveloper 11.1.1.3 Create a new SOA Application Create a new SOA Project and call it DBAdapters. Choose the Empty Composite Template Drag a Database Adapter Component to the External References panel on the composite. Provide a service name. Create a new database connection, or use an existing one Take note of the JNDI Name, e.g. eis/DB/MyConnection This will be used to configure the DB connection in the WebLogic Console. In my example I use a stored procedure, but you can use what ever operation you require. Please refer to the following link for other options: User's Guide for Technology Adapters Select a schema and stored procedure Once the procedure has been selected, accept the defaults and finish. Startup your OEPE version of Eclipse. Create a new Oracle Service Bus Configuration Project (you can use an existing project if you have one) Create a new Oracle Service Bus Project in the configuration project created above. Instead of importing the WSDL and XSD files you import the jca file created in JDeveloper. In Eclipse right click the Oracle Service Bus Project and select Import –> Import    Choose File System Browse to the directory where JDeveloper stores its project Select the jca, wsdl, and xsd files based on the service you created in step 5. Also check the ‘Create selected folders only’ radio button. When you import you may have a little red x indicating the files are invalid. This is due to the location of the files. Open the invalid files and fix the path in relation to where you store your files in the OSB project.   Once you have the files all valid, Right-Click the jca file and select Oracle Service Bus –> Generate Service. This will create a new Business Service. In the WebLogic Console configure the JNDI name defined in step 7. You can now deploy your project and test

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  • Installing SOA Suite 11.1.1.3

    - by James Taylor
    With the release of Oracle SOA Suite 11.1.1.3 last week (28 April 2010) I thought I would attempt to implement a complete SOA Environment with SOA Suite, BPM and OSB on the WLS infrastructure. One major point of difference with the 11.1.1.3 is that is is released as a point release so you must have 11.1.1.2 installed first, then upgrade to 11.1.1.3. This post is performing the upgrade on Linux, if upgrading on windows you will need to substitute the directories and files accordingly. This post assumes that you have SOA Suite 11.1.1.2 installed already. 1. Download 11.1.1.3 software from the following site: http://www.oracle.com/technology/software/products/middleware/htdocs/fmw_11_download.html WLS 11.1.1.3   RCU 11.1.1.3 SOA Suite 11.1.1.3 OSB 11.1.1.3 Copy files to a staging area. For the purpose of this document the staging area is: /u01/stage  2. Shutdown your existing SOA Suite 11.1.1.2 environment 3. Execute the WLS 11.1.1.3 install from the stage directory. wls1033_linux32.bin 4. Choose the existing 11.1.1.2 Middleware Home 5. Ignore the security update notification 6. Accept the default products to be upgraded. 7. Upgrade of WebLogic has been completed   8. Upgrade the SOA Suite database schemas using the RCU utility. Unzip the RCU utility into the staging area and run the install ./u01/stage/rcuHome/bin/rcu 9. Drop the existing Repository and provide connection details 9. Install SOA Suite patch set 11.1.1.3. Unzip the SOA Suite patchset and execute the runInstaller with the following command. ./u01/stage/Disk1/runInstaller –jreLoc $MW_HOME/jdk160_18/jre 10. Choose the existing 11.1.1.2 middleware home 11. Start Install 12. Your SOA Suite Install should now be completed. Now we need to update the database repository. Login to SQLPlus as sysdba and execute the following command. SELECT version, status FROM schema_version_registry where owner = 'DEV_SOAINFRA'; the result should be similar to this: VERSION                        STATUS      OWNER ------------------------------ ----------- ------------------------------ 11.1.1.2.0                     VALID       DEV_SOAINFRA As you can see the version if these repositories are still at 11.1.1.2. 13. To upgrade these versions you have 2 options. 1 install via RCU, but this will remove any existing services. The second option is to use the Patch Set Assistant. From the $MW_HOME directory run the following command ./Oracle_SOA1/bin/psa -dbType Oracle -dbConnectString 'localhost:1521:xe' -dbaUserName sys -schemaUserName DEV_SOAINFRA 14. Install OSB. For the OSB install I did not install the IDE, or the Examples. run the runInstaller from the command line, unzip the OSB download to the stage area. ./u01/stage/osb/Disk1/runInstaller –jreLoc $MW_HOME/jdk160_18/jre 15. Choose Custom Install NOT to install the IDE (Eclipse) or Examples. 16. Unselect the, Examples and IDE checkboxes. 17. Accept the defaults and start installing. 18. Once the install has been completed configure the domain by running the Configuration Wizard. $MW_HOME/oracle_common/common/bin/config.sh You can create a new domain. In this document I will extend the soa_domain. 19. Select the following from the check list. I have selected the BPM Suite, this is unrelated to OSB but wanted it for my development purposes. To use this functionality additional license are required. 20. Configure the database connectivity. 21. Configure the database connectivity for the OSB schema. 22. Accept the defaults if installing on standard machine, if you require a cluster or advanced configuration then choose the option for you. 23. Upgrade is complete and OSB has been installed. Now you can start your environment.

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  • How to pass XML to DB using XMLTYPE

    - by James Taylor
    Probably not a common use case but I have seen it pop up from time to time. The question how do I pass XML from a queue or web service and insert it into a DB table using XMLTYPE.In this example I create a basic table with the field PAYLOAD of type XMLTYPE. I then take the full XML payload of the web service and insert it into that database for auditing purposes.I use SOA Suite 11.1.1.2 using composite and mediator to link the web service with the DB adapter.1. Insert Database Objects Normal 0 false false false MicrosoftInternetExplorer4 /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin:0in; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman"; mso-ansi-language:#0400; mso-fareast-language:#0400; mso-bidi-language:#0400;} --Create XML_EXAMPLE_TBL Normal 0 false false false MicrosoftInternetExplorer4 /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin:0in; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman"; mso-ansi-language:#0400; mso-fareast-language:#0400; mso-bidi-language:#0400;} CREATE TABLE XML_EXAMPLE_TBL (PAYLOAD XMLTYPE); Normal 0 false false false MicrosoftInternetExplorer4 /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin:0in; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman"; mso-ansi-language:#0400; mso-fareast-language:#0400; mso-bidi-language:#0400;} --Create procedure LOAD_TEST_XML Normal 0 false false false MicrosoftInternetExplorer4 /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin:0in; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman"; mso-ansi-language:#0400; mso-fareast-language:#0400; mso-bidi-language:#0400;} CREATE or REPLACE PROCEDURE load_test_xml (xmlFile in CLOB) IS   BEGIN     INSERT INTO xml_example_tbl (payload) VALUES (XMLTYPE(xmlFile));   --Handle the exceptions EXCEPTION   WHEN OTHERS THEN     raise_application_error(-20101, 'Exception occurred in loadPurchaseOrder procedure :'||SQLERRM || ' **** ' || xmlFile ); END load_test_xml; / 2. Creating New SOA Project TestXMLTYPE in JDeveloperIn JDeveloper either create a new Application or open an existing Application you want to put this work.Under File -> New -> SOA Tier -> SOA Project   Provide a name for the Project, e.g. TestXMLType Choose Empty Composite When selected Empty Composite click Finish.3. Create Database Connection to Stored ProcedureA Blank composite will be displayed. From the Component Palette drag a Database Adapter to the  External References panel. and configure the Database Adapter Wizard to connect to the DB procedure created above.Provide a service name InsertXML Select a Database connection where you installed the table and procedure above. If it doesn't exist create a new one. Select Call a Stored Procedure or Function then click NextChoose the schema you installed your Procedure in step 1 and query for the LOAD_TEST_XML procedure.Click Next for the remaining screens until you get to the end, then click Finish to complete the database adapter wizard.4. Create the Web Service InterfaceDownload this sample schema that will be used as the input for the web service. It does not matter what schema you use this solution will work with any. Feel free to use your own if required. singleString.xsd Drag from the component palette the Web Service to the Exposed Services panel on the component.Provide a name InvokeXMLLoad for the service, and click the cog icon.Click the magnify glass for the URL to browse to the location where you downloaded the xml schema above.  Import the schema file by selecting the import schema iconBrowse to the location to where you downloaded the singleString.xsd above.Click OK for the Import Schema File, then select the singleString node of the imported schema.Accept all the defaults until you get back to the Web Service wizard screen. The click OK. This step has created a WSDL based on the schema we downloaded earlier.Your composite should now look something like this now.5. Create the Mediator Routing Rules Drag a Mediator component into the middle of the Composite called ComponentsGive the name of Route, and accept the defaultsLink the services up to the Mediator by connecting the reference points so your Composite looks like this.6. Perform Translations between Web Service and the Database Adapter.From the Composite double click the Route Mediator to show the Map Plan. Select the transformation icon to create the XSLT translation file.Choose Create New Mapper File and accept the defaults.From the Component Palette drag the get-content-as-string component into the middle of the translation file.Your translation file should look something like thisNow we need to map the root element of the source 'singleString' to the XMLTYPE of the database adapter, applying the function get-content-as-string.To do this drag the element singleString to the left side of the function get-content-as-string and drag the right side of the get-content-as-string to the XMLFILE element of the database adapter so the mapping looks like this. You have now completed the SOA Component you can now save your work, deploy and test.When you deploy I have assumed that you have the correct database configurations in the WebLogic Console based on the connection you setup connecting to the Stored Procedure. 7. Testing the ApplicationOpen Enterprise Manager and navigate to the TestXMLTYPE Composite and click the Test button. Load some dummy variables in the Input Arguments and click the 'Test Web Service' buttonOnce completed you can run a SQL statement to check the install. In this instance I have just used JDeveloper and opened a SQL WorksheetSQL Statement Normal 0 false false false MicrosoftInternetExplorer4 /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin:0in; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman"; mso-ansi-language:#0400; mso-fareast-language:#0400; mso-bidi-language:#0400;} select * from xml_example_tbl; Result, you should see the full payload in the result.

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  • How to See Which Metro Apps You’ve Installed on Each Windows 8 PC

    - by Taylor Gibb
    The Store in Windows 8 is awesome, but when you have so many apps at your disposal it becomes hard to keep track of what’s installed where, here’s how you can see the apps installed on any of your devices running Windows 8. Hack Your Kindle for Easy Font Customization HTG Explains: What Is RSS and How Can I Benefit From Using It? HTG Explains: Why You Only Have to Wipe a Disk Once to Erase It

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  • Will it be possible to use a non-pae kernel in 12.10

    - by Roland Taylor
    I know that Ubuntu +1 questions are frowned upon, but this I believe is a fair exception. Currently I have 2 systems running Ubuntu 12.10, and one of them has a Pentium M that doesn't support PAE (strange I know, but true). This has meant in the past that I had to rely on a custom iso to install Ubuntu a similar system,and so this time I went with Xubuntu 12.04. My question is 2 fold, but really one question: Is it/will it be possible to install a non-pae version of the 12.10 kernel from the standard repositories? If no, how can I get such a kernel? (Is there a PPA with such a kernel available?). NB: Before anyone suggests that I just install this package: http://packages.ubuntu.com/quantal/linux-image-generic, please note that this comes with PAE enabled. P.S. Yes, I have Googled. I haven't found the answer.

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  • Upgrading Fusion Middleware 11.1.1.x to 11.1.1.4

    - by James Taylor
    This is a follow on from my previous post where we upgraded 11.1.1.2 to 11.1.1.3. The instructions I provide here will work for Fusion Middleware 11.1.1.2 and 11.1.1.3 wanting to upgrade to 11.1.1.4. In this example I’m just upgrading SOA Suite on OEL 64bit but the steps will be the same, some of the downloads may be different based on your environment. To upgrade to 11.1.1.4 you need to have access to http://support.oracle.com as this is where the downloads reside. Oracle provides 11.1.1.4 as a standalone download so you can do a fresh install if required using OTN downloads (http://www.oracle.com/technetwork/indexes/downloads/index.html). The high level steps to upgrade are as follows: Download software Shutdown you SOA Environment Upgrade WLS to 11.1.1.4 Upgrade SOA Suite to 11.1.1.4 Upgrade OSB to 11.1.1.4 Upgrade MSD Schemas Identify the downloads you require for your install. You will need the WebLogic Server Upgrade and the additional product downloads. If you are using 64bit then use the generic version. The downloads are found from the following location - http://download.oracle.com/docs/html/E18749_01/download_readme.htm#BABDDIIC For the purpose of this post I downloaded the following patches 11060985 – WLS Server Generic 11060960 – SOA Suite 11061005 – OSB Suite You must also download the 11.1.1.4 RCU tool to upgrade the DB schemas. It is available via OTN, or, Oracle Support, I have provided the link from Oracle Support.  11060956 – RCU Make sure you have set the Java executable in your PATH e.g. export PATH=$JAVA_HOME/bin:$PATH  Make sure all your WebLogic environment has been shut down before performing the upgrade. Extract the WLS patch 11060985 to a temporary directory and start the installer java –jar wls1034_upgrade_generic.jar Please note if you are not running 64BIT then the upgrade executable will be just a bin file which you can execute directly. Chose the right Oracle home for your WebLogic Server install. In the Register for Security Updates you can enter your details or just click Next. If you do not enter details confirm that you don’t want to receive these updates Select the products you want to upgrade and select next. It is recommended that you accept the defaults. Confirm the directories that will be upgraded Upgrade of WLS ahs been completed   Extract your both SOA downloads to a temporary directory and run the installer found in Disk1 ./runInstaller -jreLoc /java/jdk1.6.0_20/jre Please note that the java location and version may be different for your environment Skip the Software Updates Ensure your system meets the prerequisites Set the Oracle home for your SOA install. You will be asked to confirm that you want to upgrade, click Yes Choose your application server. Since you are upgrading from 11.1.1.x you will be on WebLogic Start the Install Installation Upgrade of SOA Suite completed accept the default to finish.   In my environment I have OSB installed so I need to upgrade this next. If you don’t have SOA Suite you can go straight to completing the DB Schema updates at Step 24.  Extract the OSB upgrade files to a temporary directory and execute the installer found in the Disk1 folder. ./runInstaller -jreLoc /java/jdk1.6.0_20/jre Skip the software updates Select the Oracle home for your environment Accept the warning to continue the upgrade Point to the location of your WebLogic Server installation Install the OSB upgrade Upgrade has been completed accept the defaults Change directory to $MW_HOME/oracle_common/bin where the Patch Set Assistant is installed Execute the following command to update the MDS schema. Please not for my examples I have the context set to DEV. your may be different. This means that all my schemas are prefixed by DEV. ./psa -dbType Oracle -dbConnectString 'localhost:1521:xe' -dbaUserName sys -schemaUserName DEV_MDS You will be asked you passwords for sys and the schema Enter the database administrator password for "sys": Enter the schema password for schema user "DEV_MDS": Change directory to $MW_HOME/Oracle_SOA1/bin to where the Patch Set Assistant is installed for SOA Suite. Execute the following command to update the SOA and BAM schemas ./psa -dbType Oracle -dbConnectString 'localhost:1521:xe' -dbaUserName sys -schemaUserName DEV_SOAINFRA   To check that you have the installed correctly run the following SQL as sysdba. SELECT owner, version, status FROM schema_version_registry; OWNER                          VERSION                        STATUS ------------------------------ ------------------------------ ----------- DEV_MDS                        11.1.1.4.0                     VALID DEV_SOAINFRA                   11.1.1.4.0                     VALID Don’t stress if the versions are not all sitting at version 11.1.1.4 as not all schemas need to be updated. The key ones are MDS and SOAINFRA

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  • Ubuntu Installation Help for an IBM R31 Thinkpad

    - by David Taylor
    I recently acquired an old IBM R31 Thinkpad, and I'd figure I'd install Lubuntu on it. I've followed the quick steps for USB installation on the help wiki page, but I can't seem to get it to boot from my formatted flash drive. I've checked the boot priority on the BIOS page, but the option to boot from USB doesn't even seem to be there. The only bootable options are legacy and USB floppy drives. The CD drive is shot, so I can't install from there either. Do I have any other options for installation without having to pay for a floppy drive or a replacement CD drive? The wiki pages mentions something about installation from within Windows. Would it be possible to remove Windows using this option, or would it just create a partition? Thanks

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