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  • how to calculate intersection time and place of multiple moving arcs

    - by user20733
    I have rocks orbiting moons, moons orbiting planets, planets orbiting suns, and suns orbiting black holes, and the current system could have many many layers of orbitage. the position of any object is a function of time and relative to the object it orbits. (so far so good). now I want to know for a given 2 objects(A,B), a start time and a speed, how can I work out the when and where to go. I can work out where A and B is given a time. so i just need. 1: direction to travel in from A to B(remember B is moving(not in a straight line)) 2: Time to get to b in a straight line. travel must be in a straight line with the shortest possible distance. as an extension to this question, how will i know if its better to wait, EG is it faster to stay on object A and wait for a hour when the objects may be closer, than to set off from A to B at the start. Cheers, it hurt my brain.

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  • PASS Summit – looking back on my first time

    - by Fatherjack
      So I was lucky enough to get my first experience of PASS Summit this year and took some time beforehand to read some blogs and reference material to get an idea on what to do and how to get the best out of my visit. Having been to other conferences – technical and non-technical – I had a reasonable idea on the routine and what to expect in general. Here is a list of a few things that I have learned/remembered as the week has gone by. Wear comfortable shoes. This actually needs to be broadened to Take several pairs of comfortable shoes. You will be spending many many hours, for several days one after another. Having comfortable feet that can literally support you for the duration will make the week in general a whole lot better. Not only at the conference but getting to and from you could well be walking. In the evenings you will be walking around town and standing talking in various bars and clubs. Looking back, on some days I was on my feet for over 20 hours. Make friends. This is a given for the long term benefits it brings but there is also an immediate reward in being at a conference with a friend or two. Some events are bigger and more popular than others and some have the type of session that every single attendee will want to be in. This is great for those that get in but if you are in the bathroom or queuing for coffee and you miss out it sucks. Having a friend that can get in to a room and reserve you a seat is a great advantage to make sure you get the content that you want to see and still have the coffee that you need. Don’t go to every session you want to see This might sound counter intuitive and it relies on the sessions being recorded in some way to guarantee you don’t totally miss out. Both PASS Summit and SQL Bits sessions are recorded (summit is audio, SQLBits is video) and this means that if you get into a good conversation with someone over a coffee you don’t have to break it up to go to a session. Obviously there is a trade-off here and you need to decide on the tipping point for yourself but a conversation at a place like this could make a big difference to the next contract or employer you have or it might simply be great catching up with some friends you don’t see so often. Go to at least one session you don’t want to Again, this will seem to be contrary to normal logic but there is no reason why you shouldn’t learn about a part of SQL Server that isn’t part of your daily routine. Not only will you learn something new but you will also pick up on the feelings and attitudes of the people in the session. So, if you are a DBA, head off to a BI session and so on. You’ll hear BI speakers speaking to a BI audience and get to understand their point of view and reasoning for making the decisions they do. You will also appreciate the way that your decisions and instructions affect the way they have to work. This will help you a lot when you are on a project, working with multiple teams and make you all more productive. Socialise While you are at the conference venue, speak to people. Ask questions, be interested in whoever you are speaking to. You get chances to talk to new friends at breakfast, dinner and every break between sessions. The only people that might not talk to you would be speakers that are about to go and give a session, in most cases speakers like peace and quiet before going on stage. Other than that the people around you are just waiting for someone to talk to them so make the first move. There is a whole lot going on outside of the conference hours and you should make an effort to join in with some of this too. At karaoke evenings or just out for a quiet drink with a few of the people you meet at the conference. Either way, don’t be a recluse and hide in your room or be alone out in the town. Don’t talk to people Once again this sounds wrong but stay with me. I have spoken to a number of speakers since Summit 2013 finished and they have all mentioned the time it has taken them to move about the conference venue due to people stopping them for a chat or to ask a question. 45 minutes to walk from a session room to the speaker room in one case. Wow. While none of the speakers were upset about this sort of delay I think delegates should take the situation into account and possibly defer their question to an email or to a time when the person they want is clearly less in demand. Give them a chance to enjoy the conference in the same way that you are, they may actually want to go to a session or just have a rest after giving their session – talking for 75 minutes is hard work, taking an extra 45 minutes right after is unbelievable. I certainly hope that they get good feedback on their sessions and perhaps if you spoke to a speaker outside a session you can give them a mention in the ‘any other comments’ part of the feedback, just to convey your gratitude for them giving up their time and expertise for free. Say thank you I just mentioned giving the speakers a clear, visible ‘thank you’ in the feedback but there are plenty of people that help make any conference the success it is that would really appreciate hearing that their efforts are valued. People on the registration desk, volunteers giving schedule guidance and directions, people on the community zone are all volunteers giving their time to help you have the best experience possible. Send an email to PASS and convey your thoughts about the work that was done. Maybe you want to be a volunteer next time so you could enquire how you get into that position at the same time. This isn’t an exclusive list and you may agree or disagree with the points I have made, please add anything you think is good advice in the comments. I’d like to finish by saying a huge thank you to all the people involved in planning, facilitating and executing the PASS Summit 2013, it was an excellent event and I know many others think it was a totally worthwhile event to attend.

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  • Automatically Create Your Project&rsquo;s NuGet Package Every Time It Builds Via NuGet

    - by deadlydog
    Originally posted on: http://geekswithblogs.net/deadlydog/archive/2013/06/22/automatically-create-your-projectrsquos-nuget-package-every-time-it-builds.aspxSo you’ve got a super awesome library/assembly that you want to share with others, but you’re too lazy to actually use NuGet to package it up and upload it to the gallery; or maybe you don’t know how to create a NuGet package and don’t have the time or desire to learn.  Well, my friends, now this can all be handled for you automatically. Read more at http://blog.danskingdom.com/automatically-create-your-projects-nuget-package-every-time-it-builds-via-nuget/

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  • Time based movement Vs Frame rate based movement?

    - by sil3nt
    Hello there, I'm new to Game programmming and SDL, and I have been following Lazyfoo's SDL tutorials. My question is related to time based motion and frame rate based motion, basically which is better or appropriate depending on situations?. Could you give me an example where each of these methods are used?. Another question I have is that, in lazyfoo's two Motion tutorials (FPS based and time based) The time based method showed a much smoother animation while the Frame rate based one was a little hiccupy, meaning you could clearly see the gap between the previous location of the dot and its current position when you compare the two programs. As beginner which method should I stick to?(all I want is smooth animations).

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  • Is it normal needing time to understand code i wrote recently

    - by user1478167
    By recently i mean some weeks ago. I am trying to continue a project i left 2 weeks ago and i need time to understand some functions i wrote(not copied from somewhere) and it takes me time. Normally i don't need to because my functions,methods etc are black boxes but when i need to change something it's really hard. Does this mean i write bad code? I am still in school and i am the only who writes/uses the code so i don't have feedback, but i am afraid that if it is difficult for me to understand it, it would be 10 times more difficult for someone else. What should i do? I write a lot of comments but most of the time are useless when reviewing. Do you have any suggestions?

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  • What's the better user experience: Waiting once at startup for a long time or waiting frequently for a short time?

    - by Roflcoptr
    I'm currently design an application that involves a lot of calculation. Now I have generally two possibilities which I have both tested: 1) During startup of the application I calculated only the most important values and these values that consume a lot of time. So the user has to wait approximately 15 seconds during startup. But on the other hand a lot of user interactions require recalculation so that the user often has to wait 2-3 seconds after clicking somewhere until the application has calculated and loaded all values 2) I load everything during startup. This takes from 90 to 120 seconds... This is quite a long time, but the big advantage is that all the user interactions are executed immediately. So what would you generally consider the better approach? Loading all time-consuming operations during startup or when needed?

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  • Advice for Storing and Displaying Dates and Times Across Different Time Zones

    A common question I receive from clients, colleagues, and 4Guys readers is for recommendations on how best to store and display dates and times in a data-driven web application. One of the challenges in storing and displaying dates in a web application is that it is quite likely that the visitors arriving at your site are not in the same time zone as your web server; moreover, it's very likely that your site attracts visitors from many different time zones from around the world.Consider an online messageboard site, like <a href="http://www.aspmessageboard.com/">ASPMessageboard.com</a>, where each of 1,000,000+ posts includes the date and time it was made. Imagine a user from New York leaves a post on April 7th at 4:30 PM and that the web server hosting the site

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  • How to Back Up Your Linux System With Back In Time

    - by Chris Hoffman
    Ubuntu includes Déjà Dup, an integrated backup tool, but some people prefer Back In Time instead. Back In Time has several advantages over Déjà Dup, including a less-opaque backup format, integrated backup file browser, and more configurability. Déjà Dup still has a few advantages, notably its optional encryption and simpler interface, but Back In Time gives Déjà Dup a run for its money. How to Sync Your Media Across Your Entire House with XBMC How to Own Your Own Website (Even If You Can’t Build One) Pt 2 How to Own Your Own Website (Even If You Can’t Build One) Pt 1

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  • Ubuntu one changes 'Date modified' to time and date of sync

    - by Philippe
    I'm wondering why ubuntu one changes the date of the synced files. Instead of leaving the actual date and time of modification it updates the time and date to the sync time. So, e.g., if I change and save a file today at july 26 2 pm and I go home and sync my home-pc with u1 tomorrow at 10 the 'Date modified' of that file will reflect the syncdate which might be July 27, 10am. I don't like that behavior and I don't understand if this is a bug or if that is actually intended?

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  • Increasing speed of circle over time as linear with Box2d

    - by Whispered
    Assume that there is a circle and it can be moved by using keyboard arrows.Is required that increasing speed over time like increasing car speed. For example; max speed is 25 and time to reach max speed shall be 5 sec. Over 5 sec the speed will reach to max speed. Does Box2d handle that situation?. I tried setting linear valocity but it seems to make the circle have constant speed instead of increased speed over time. Thank You! Note: I'm using Box2DWeb Javascript port of Box2D.

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  • New Time Zone Patch DST V18 is available

    - by Mike Dietrich
    Sorry for not updating the blog more often at the moment - but more updates will come soon as I play around with Oracle Restart and single instance databases in ASM with Oracle 11.2. Just on the side there's a new time zone patch to DST V18 available since May 2012. You can download it via PATCH download from MOS with the patch number: 13417321 What do you think? Will Lufthansa operate a faster jet the other night? Will the jet stream be more powerful? Or a better type of fuel? Or is it just the travel portal which hasn't applied the correct time zone patches to catch DST change that night in the US whereas it happens two weeks later in Europe? Guess ... And please see the readme about how to apply the patch and our slides about why time zone patching may be important even in your environment RDBMS bug: Bug 13417321: DST 18 : HALF YEARLY DST PATCHES, MAY 2012 OJVM Bug 14112098 - dst changes for dstv18 (tzdata2012c) - need ojvm fix

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  • Balancing full time work and personal coding projects.

    - by pllee
    I am nearing the end of developing the major pieces of my website that I have been working on in my spare time for the last 3 months. My goal is to get it released by the end of next month and hopefully start making some money on it. Unfortunately the next step will be to write a lot of specific data handling and ui code that I can see becoming very tedious and boring. When I was first started the project I was able to find time for working on it easily, it was interesting and writing the back-end was new. Once I got to the start of writing stuff that I know and do at work (ui), it seemed harder and harder to make myself work on the project, sometimes the last thing I want to do when I get home from work is code again. Anyone in the same situation? Any tips on how to find time and effort for side projects without burning out? Any tips on staying on the right track?

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  • Business Case for investing time developing Stubs and BizUnit Tests

    - by charlie.mott
    I was recently in a position where I had to justify why effort should be spent developing Stubbed Integration Tests for BizTalk solutions. These tests are usually developed using the BizUnit framework. I assumed that most seasoned BizTalk developers would consider this best practice. Even though Microsoft suggest use of BizUnit on MSDN, I've not found a single site listing the justifications for investing time writing stubs and BizUnit tests. Stubs Stubs should be developed to isolate your development team from external dependencies. This is described by Michael Stephenson here. Failing to do this can result in the following problems: In contract-first scenarios, the external system interface will have been defined.  But the interface may not have been setup or even developed yet for the BizTalk developers to work with. By the time you open the target location to see the data BizTalk has sent, it may have been swept away. If you are relying on the UI of the target system to see the data BizTalk has sent, what do you do if it fails to arrive? It may take time for the data to be processed or it may be scheduled to be processed later. Learning how to use the source\target systems and investigations into where things go wrong in these systems will slow down the BizTalk development effort. By the time the data is visible in a UI it may have undergone further transformations. In larger development teams working together, do you all use the same source and target instances. How do you know which data was created by whose tests? How do you know which event log error message are whose?  Another developer may have “cleaned up” your data. It is harder to write BizUnit tests that clean up the data\logs after each test run. What if your B2B partners' source or target system cannot support the sort of testing you want to do. They may not even have a development or test instance that you can work with. Their single test instance may be used by the SIT\UAT teams. There may be licencing costs of setting up an instances of the external system. The stubs I like to use are generic stubs that can accept\return any message type.  Usually I need to create one per protocol. They should be driven by BizUnit steps to: validates the data received; and select a response messages (or error response). Once built, they can be re-used for many integration tests and from project to project. I’m not saying that developers should never test against a real instance.  Every so often, you still need to connect to real developer or test instances of the source and target endpoints\services. The interface developers may ask you to send them some data to see if everything still works.  Or you might want some messages sent to BizTalk to get confidence that everything still works beyond BizTalk. Tests Automated “Stubbed Integration Tests” are usually built using the BizUnit framework. These facilitate testing of the entire integration process from source stub to target stub. It will ensure that all of the BizTalk components are configured together correctly to meet all the requirements. More fine grained unit testing of individual BizTalk components is still encouraged.  But BizUnit provides much the easiest way to test some components types (e.g. Orchestrations). Using BizUnit with the Behaviour Driven Development approach described by Mike Stephenson delivers the following benefits: source: http://biztalkbddsample.codeplex.com – Video 1. Requirements can be easily defined using Given/When/Then Requirements are close to the code so easier to manage as features and scenarios Requirements are defined in domain language The feature files can be used as part of the documentation The documentation is accurate to the build of code and can be published with a release The scenarios are effective to document the scenarios and are not over excessive The scenarios are maintained with the code There’s an abstraction between the intention and implementation of tests making them easier to understand The requirements drive the testing These same tests can also be used to drive load testing as described here. If you don't do this ... If you don't follow the above “Stubbed Integration Tests” approach, the developer will need to manually trigger the tests. This has the following risks: Developers are unlikely to check all the scenarios each time and all the expected conditions each time. After the developer leaves, these manual test steps may be lost. What test scenarios are there?  What test messages did they use for each scenario? There is no mechanism to prove adequate test coverage. A test team may attempt to automate integration test scenarios in a test environment through the triggering of tests from a source system UI. If this is a replacement for BizUnit tests, then this carries the following risks: It moves the tests downstream, so problems will be found later in the process. Testers may not check all the expected conditions within the BizTalk infrastructure such as: event logs, suspended messages, etc. These automated tests may also get in the way of manual tests run on these environments.

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  • Finding "spare time" in a day from within a list of events

    - by MFB
    I have a list of events which is always sorted chronologically. The start time is always followed by the end time. Times are strings formatted as 'HHmmss'. // list of events var events = [ '010000', // start '013000', // end... '053000', '060000', '161500', '184500'] // desired output var spares = [ '000000', // start '010000', // end... '013000', '053000', '060000', '161500', '184500', '235959'] How can I programmatically create a new list of "spare time" from 000000 to 235959? PS I'm trying to do this in Javascript, but any conceptual answer or pseudo code would be helpful too.

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  • Google I/O 2010 - Writing real-time games for Android redux

    Google I/O 2010 - Writing real-time games for Android redux Google I/O 2010 - Writing real-time games for Android redux Android 201 Chris Pruett This session is a crash course in Android game development: everything you need to know to get started writing 2D and 3D games, as well as tips, tricks, and benchmarks to help your code reach optimal performance. In addition, we'll discuss hot topics related to game development, including hardware differences across devices, using C++ to write Android games, and the traits of the most popular games on Market. For all I/O 2010 sessions, please go to code.google.com From: GoogleDevelopers Views: 10 0 ratings Time: 58:57 More in Science & Technology

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  • Avoiding lag when rendering Texture2D for first time

    - by Emir Lima
    I have found a similar question here, but it is about playing sounds. I am using 2048 x 2048 textures for sprite sheets and every time I call spriteBatch.Draw using a sheet for the first time in game execution, causes a considerable lag. The lag doesn't appears for the next times. Someone has faced this problem before? What can I do to overcome this? Update: I inserted a code in the end of content load routine that draws EVERY Texture2D that is loaded into ContentManager before follow to the game screen. This works well. None lag occurs when different textures are rendered over the time, EXCEPT if the IsFullScreen are changed. Apparently, changing this property makes the textures loaded in the GPU gone. Is that correct?

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  • Optimization of time-varying parameters

    - by brama
    I need to find an optimal set of "n" parameter values that minimize an objective function (a 2-hr simulation of a system). I have looked at genetic algorithm and simulated annealing methods, but was wondering if there are any better algorithms and guidance on their merits and limitations. With the above optimization methods I can find the optimal parameter values that hold true for the entire simulation duration. Incase, I want to find the optimal "time varying" parameter values (parameter values change with time during the 2-hr simulation), are there any methods/ideas other than making each time varying parameter value a variable to optimize? Any thoughts?

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  • First frame has a much longer delta time than other frames

    - by Kipras
    I had a problem where my AI moved extreme at the first frame and then normal after that. I then figured out it was my delta. It's about 0.016 seconds (60 fps), but the first frame was about 19000 seconds, which is obviously impossible. Does anybody know what might be happening? Also the delta later on likes to oscillate from 0.01 to 0.03, which is, again, crazy. long time = Sys.getTime() * 1000 / Sys.getTimerResolution(); float delta = (time - lastFrame) / 1000f; lastFrame = time; return delta; That's the delta code.

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  • AS3 Calculating Delta Time In Seconds

    - by user1133079
    Here is how I've been trying to implement delta time based on different internet resources. var startTime:Number = getTimer(); game.Update(deltaTime); deltaTime = Number(getTimer() - startTime) * 0.001; My issue with this is it doesn't seem to be giving me accurate timing. The main update shows the frame time at 0.001 and when reinitializing the level it goes to 0.002. I'm using dt else where for a timer and later on time based physics so I would like it to work as expected. I must be missing something silly.

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  • How to get the Time Difference in C# .net

    - by Aamir Hasan
    A DateTime instance stores both date and time information. The DateTime class can be found in the System namespace.In order to retrieve the current system time, we can use the static property Now of the DateTime class.In this Example i have shown, how to calculate the difference between two DateTime objects using C# syntax. DateTime startTime; DateTime endTime;            startTime = Convert.ToDateTime("12:12 AM");            endTime = Convert.ToDateTime("1:12 AM");            var timeDifference = new TimeSpan(endTime.Ticks - startTime.Ticks);Response.Write("Time difference in hours is " + timeDifference.Hours);Link:http://msdn.microsoft.com/en-us/library/8kb3ddd4.aspx

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  • What is the effect of creating unit tests during development on time to develop as well as time spent in maintenance activities?

    - by jgauffin
    I'm a consultant and I am going to introduce unit tests to all developers at my client site. My goal is to ensure that all new applications should have unit tests for all classes created. The client has a problem with high maintenance costs from fixing bugs in their existing applications. Their applications have a life span from between 5-15 years in which they continuously add new features. I'm quite confident that they will benefit greatly from starting with unit tests. I'm interested in the effect of unit tests on the time and cost of development: How much time will writing unit tests as part of the development process add? How much time will be saved in maintenance activities (testing and debugging) by having good unit tests?

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  • IE History Tracking, IFRAMES, and Cross Domain error...

    - by peiklk
    So here's the deal. We have a Flash application that is running within an HTML file. For one page we call a legacy reporting system in ASP.NET that is within an IFRAME. This page then communicates back to the Flash application using cross-domain scripting (document.domain = "domain" is set in both pages. THIS ALL WORKS. Now the kicker. Flash has history tracking enabled. This loads the history.js file that created a div tag to store page changes so the back and forward buttons work in the browser. Which works for Firefox and Chrome as they create a div tag. HOWEVER In Internet Explorer, history.js creates another IFRAME (instead of a DIV) called ie_historyFrame. When the ScriptResource.axd code attempts to access this with: var frameDoc = this._historyFrame.contentWindow.document; we get an "Access is Denied" error message. ARGH! We've tried getting a handle to this IFRAME and inserting the document.domain code. FAIL. We've tried editing the historytemplate.html file that flex also uses to include document.domain... FAIL. I've tried to edit the underlying ASP.NET page to disable history tracking in the ScriptManager control. FAIL. At my wit's end on this one. We have users who need to use IE to access this site. They are big clients who we cannot tell to just use Firefox. Any suggestions would be greatly appreciated.

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  • XMLHttpRequest() and Google Analytics Tracking

    - by sjw
    I have implemented an XMLHttpRequest() call to a standalone html page which simply has an html, title & body tag which Google Analytics Tracking code. I want to track when someone makes a request to display information (i.e. phone number) to try and understand what portion of people look at my directory versus obtaining a phone number to make a call. It is very simple code: var xhReq = new XMLHttpRequest(); xhReq.open("GET", "/registerPhoneClick.htm?id=" + id, false); xhReq.send(null); var serverResponse = xhReq.responseText Yet I cannot see the "hit" in Analytics... Has anyone had this issue? All the analytics tracking code does is call: <script type="text/javascript"> 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")); </script> <script type="text/javascript"> try { var pageTracker = _gat._getTracker("UA-XXXXXXX"); pageTracker._trackPageview(); } catch(err) {}</script> So realistically, my XmlHTTPRequest() calls an htm file within which a script is execute to make an outbound call to Google Analytics. Is there any reason why an XmlHTTPRequest() would not execute this? Does an XmlHTTPRequest() still bring the code to the client before execution? Help Please

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  • Trac vs. Redmine vs. JIRA vs. FogBugz for one-man shop?

    - by kizzx2
    Background I am a one-man freelancer looking for a project management software that can provide the following requirements. I have used Trac for about a year now. Tried Redmine and FogBugz on Demand for a couple of weeks. Never tried JIRA before. Basically, I'm looking for a piece of software that: Facilitates developer-client communication/collaboration Does time tracking Requirements Record time estimates/Time tracking Clients must be able to create/edit his own tickets/cases Clients must not see Developer created tickets/cases (internal) Affordable (price) with multiple clients Nice-to-haves Supports multiple projects in one installation Free eclipse integration (Mylyn) Easy time-tracking without using the Web UI (Trac's post commit hook or Redmine's commit message scanning) Clients can access the Wiki Export the data to standard formats My evaluation Trac can basically fulfill most of the above requirements, but with lots of customizations and plug-ins that it doesn't feel so clean. One downside is that the main trunk (0.11) has been around for a year or more and I still haven't seen much tendency of any upgrades coming up. Redmine has the cleanest Web UI. It's design philosophy seems to be the most elegant, with its innovative commit message scanning and stuff. However, the current version doesn't seem to be very mature and stable yet. It doesn't support internal (private) tickets and the time-tracking commit message patch doesn't support the trunk version. The good thing about it is that the main trunk still seems to be actively developed. FogBugz is actually a very well written piece of software. However the idea of paying $25/month for the client to be able to log-in to the system seems a little bit too far off for an individual developer. The free version supports letting clients create/view their own cases using email, which is a sub-optimal alternative to having a full-fledged list of the user's own cases. That also means clients can't read/write wiki pages. Its time-tracking approach is innovative and good though. However the fact that all the eclipse integration (Bugclipse, Foglyn) are commercial. Yet other investments before I can use my bug-tracker! If I revert back to the Web UI, it's not really a fast rendering Web service. Also, the in-built report functions are excellent (e.g. evidence based scheduling) JIRA is something I have zero experience with. Can someone with JIRA experience recommend why it might be a good fit for this particular situation? Question Can we share experience on this? Any specific plugins/customizations would that would best suit the requirements for this case?

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  • How to visualize timer functionality in sequence diagram?

    - by truthseeker
    I am developing software for communication with external device through serial port. To better understand the new functionality I am trying to display it in sequence diagram. Flow of events is as follows. I send to the device command to reset it. This is asynchronous operation so there is some delay between request and response (typically 100 ms). There can be case when the answer never comes (for example device is not connected to the specified port or is currently turned off). For this purpose I create a timer with period twice the maximum answer time. In my case it is 2 * 125 ms = 250 ms. If the answer comes in predefined time interval, I destroy already running timer. If the answer doesnt come in predefined interval, timer initiates some action. After this action we can destroy it. How to effectively model this situation in sequence diagram? Addendum 1: Based on advices made by scarfridge i drew following UML diagram. Comment by Ozair is also helpful for simplifying the diagram even more.

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