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  • What Math topics & resources to consider as beginner to indulge the book - Introduction to Algorithm

    - by sector7
    I'm a programmer who's beginning to appreciate the knowledge & usability of Algorithms in my work as I move forward with my skill-set. I don't want to take the short path by learning how to apply algorithms "as-is" but would rather like to know the foundation and fundamentals behind them. For that I need Math, at which I'm pretty "basic". I'm considering getting tuition's for that. What I would like is to have a concise syllabus/set of topics/book which I could hand over to my math tutor to get started. HIGHLY DESIRED: one book. the silver bullet. (fingers crossed!) PS: I've got some leads but want to hear you guys/gurus out: Discrete Math, Combinatorics, Graph theory, Calculus, Linear Algebra, and Number Theory. Looking forward to your answers. Thanks!

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  • How to configure a zone cluster on Solaris Cluster 4.0

    - by JuergenS
    This is a short overview on how to configure a zone cluster on Solaris Cluster 4.0. This is a little bit different as in Solaris Cluster 3.2/3.3 because Solaris Cluster 4.0 is only running on Solaris 11. The name of the zone cluster must be unique throughout the global Solaris Cluster and must be configured on a global Solaris Cluster. Please read all the requirements for zone cluster in Solaris Cluster Software Installation Guide for SC4.0. For Solaris Cluster 3.2/3.3 please refer to my previous blog Configuration steps to create a zone cluster in Solaris Cluster 3.2/3.3. A. Configure the zone cluster into the already running global clusterCheck if zone cluster can be created # cluster show-netprops to change number of zone clusters use # cluster set-netprops -p num_zoneclusters=12 Note: 12 zone clusters is the default, values can be customized! Create config file (zc1config) for zone cluster setup e.g: Configure zone cluster # clzc configure -f zc1config zc1 Note: If not using the config file the configuration can also be done manually # clzc configure zc1 Check zone configuration # clzc export zc1 Verify zone cluster # clzc verify zc1 Note: The following message is a notice and comes up on several clzc commands Waiting for zone verify commands to complete on all the nodes of the zone cluster "zc1"... Install the zone cluster # clzc install zc1 Note: Monitor the consoles of the global zone to see how the install proceed! (The output is different on the nodes) It's very important that all global cluster nodes have installed the same set of ha-cluster packages! Boot the zone cluster # clzc boot zc1 Login into non-global-zones of zone cluster zc1 on all nodes and finish Solaris installation. # zlogin -C zc1 Check status of zone cluster # clzc status zc1 Login into non-global-zones of zone cluster zc1 and configure the shell environment for root (for PATH: /usr/cluster/bin, for MANPATH: /usr/cluster/man) # zlogin -C zc1 If using additional name service configure /etc/nsswitch.conf of zone cluster non-global zones. hosts: cluster files netmasks: cluster files Configure /etc/inet/hosts of the zone cluster zones Enter all the logical hosts of non-global zones B. Add resource groups and resources to zone cluster Create a resource group in zone cluster # clrg create -n <zone-hostname-node1>,<zone-hostname-node2> app-rg Note1: Use command # cluster status for zone cluster resource group overview. Note2: You can also run all commands for zone cluster in global cluster by adding the option -Z to the command. e.g: # clrg create -Z zc1 -n <zone-hostname-node1>,<zone-hostname-node2> app-rg Set up the logical host resource for zone cluster In the global zone do: # clzc configure zc1 clzc:zc1 add net clzc:zc1:net set address=<zone-logicalhost-ip> clzc:zc1:net end clzc:zc1 commit clzc:zc1 exit Note: Check that logical host is in /etc/hosts file In zone cluster do: # clrslh create -g app-rg -h <zone-logicalhost> <zone-logicalhost>-rs Set up storage resource for zone cluster Register HAStoragePlus # clrt register SUNW.HAStoragePlus Example1) ZFS storage pool In the global zone do: Configure zpool eg: # zpool create <zdata> mirror cXtXdX cXtXdX and # clzc configure zc1 clzc:zc1 add dataset clzc:zc1:dataset set name=zdata clzc:zc1:dataset end clzc:zc1 verify clzc:zc1 commit clzc:zc1 exit Check setup with # clzc show -v zc1 In the zone cluster do: # clrs create -g app-rg -t SUNW.HAStoragePlus -p zpools=zdata app-hasp-rs Example2) HA filesystem In the global zone do: Configure SVM diskset and SVM devices. and # clzc configure zc1 clzc:zc1 add fs clzc:zc1:fs set dir=/data clzc:zc1:fs set special=/dev/md/datads/dsk/d0 clzc:zc1:fs set raw=/dev/md/datads/rdsk/d0 clzc:zc1:fs set type=ufs clzc:zc1:fs add options [logging] clzc:zc1:fs end clzc:zc1 verify clzc:zc1 commit clzc:zc1 exit Check setup with # clzc show -v zc1 In the zone cluster do: # clrs create -g app-rg -t SUNW.HAStoragePlus -p FilesystemMountPoints=/data app-hasp-rs Example3) Global filesystem as loopback file system In the global zone configure global filesystem and it to /etc/vfstab on all global nodes e.g.: /dev/md/datads/dsk/d0 /dev/md/datads/dsk/d0 /global/fs ufs 2 yes global,logging and # clzc configure zc1 clzc:zc1 add fs clzc:zc1:fs set dir=/zone/fs (zc-lofs-mountpoint) clzc:zc1:fs set special=/global/fs (globalcluster-mountpoint) clzc:zc1:fs set type=lofs clzc:zc1:fs end clzc:zc1 verify clzc:zc1 commit clzc:zc1 exit Check setup with # clzc show -v zc1 In the zone cluster do: (Create scalable rg if not already done) # clrg create -p desired_primaries=2 -p maximum_primaries=2 app-scal-rg # clrs create -g app-scal-rg -t SUNW.HAStoragePlus -p FilesystemMountPoints=/zone/fs hasp-rs More details of adding storage available in the Installation Guide for zone cluster Switch resource group and resources online in the zone cluster # clrg online -eM app-rg # clrg online -eM app-scal-rg Test: Switch of the resource group in the zone cluster # clrg switch -n zonehost2 app-rg # clrg switch -n zonehost2 app-scal-rg Add supported dataservice to zone cluster Documentation for SC4.0 is available here Example output: Appendix: To delete a zone cluster do: # clrg delete -Z zc1 -F + Note: Zone cluster uninstall can only be done if all resource groups are removed in the zone cluster. The command 'clrg delete -F +' can be used in zone cluster to delete the resource groups recursively. # clzc halt zc1 # clzc uninstall zc1 Note: If clzc command is not successful to uninstall the zone, then run 'zoneadm -z zc1 uninstall -F' on the nodes where zc1 is configured # clzc delete zc1

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  • Are proofs worth the effort?

    - by Shashank Jain
    I bought the de-facto book for learning about data structures and algorithms (CLRS). The book is though quite good but the singularity is in the proofs. The book is filled with Lemmas, theorems, peculiar symbols and unimaginable recurrence relations which are very hard to understand. I am able to somehow get the algorithms but the discrete mathematics just not for me. So should I leave them out and just concentrate on algorithims?

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  • polynomial multiplication using fastfourier transform

    - by mawia
    i am going through the above topic from CLRS(CORMEN) (page 834) and I got stuck at this point. Can anybody please explain how the following expression, A(x)=A^{[0]}(x^2) +xA^{[1]}(x^2) follows from, n-1 ` S a_j x^j j=0 Where, A^{[0]} = a_0 + a_2x + a_4a^x ... a_{n-2}x^{\frac{n}{2-1}} A^{[1]} = a_1 + a_3x + a_5a^x ... a_{n-1}x^{\frac{n}{2-1}} WITH REGARDS THANKS

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  • Searching, Sorting and Graph Algorithms questions

    - by user177883
    Is there a resource that i can find different variations of searching, sorting and graph algorithm questions ? I have studied CLRS and Algorithm Design by Kleinberg. and solved some set of questions. I have also, checked SO for algorithms questions. Curious, if there is a resource you would highly recommend. EDIT: There is also this free ebook with many questions, that i was able to solve some of them.

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  • Can Visual Studio 2010 Test .net 3.5 SP1 Projects?

    - by Michael Stum
    I have some projects in a solution that are running on .net 3.5 SP1 (and can never ever be updated to 4.0 as they are SharePoint projects). When I try to create a new Visual C# Test Project in VS2010 Premium, I have to choose .net 4.0 which is apparently intended. Now I don't care about what my Unit Test project is (don't have to care about VS2008 users), but I do care if I can safely test 3.5 Projects in it due to the different CLRs and slight C# language differences?

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  • How to improve Algorithmic Programming Solving skill? [closed]

    - by gaurav
    Possible Duplicate: How can I improve my problem-solving ability? How do you improve your problem solving skills? Should I learn design patterns or algorithms to improve my logical thinking skills? What to do when you're faced with a problem that you can't solve quickly? Are there non-programming related activities akin to solving programming problems? I am a computer engineering graduate. I have studied programming since three years. I am good in coding and programming. I have been trying to compete in algorithmic competitions on sites such as topcoder,spoj since one and a half year, but I am still unable to solve problems other than too easy problems. I have learned from people that it takes practice to solve such problems. I try to solve those problems but sometimes I am unable to understand and even if I do understand I am unable to think of a good algorithm for solving it. Even if I solve I get Wrong answer and I am unable to figure out what is the problem with my code as it works on samples given on the sites but fails on test cases which they do not provide. I really want to solve those problems and become good in algorithms. I have read books for learning algorithms like Introduction to algorithms by CLRS,practicing programming questions. I have gone through some questions but they don't answer this question. I have seen the questions which are said duplicates but those questions focus on overall programming, but I am asking for algorithm related programming, basically for competing in programming which involve solving a problem statement then online judge will automatically evaluate it, such type of programming is quite different from the type of programming these questions discuss.

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  • Solving a recurrence T(n) = 2T(n/2) + n^4

    - by user563454
    I am studying using the MIT Courseware and the CLRS book Introduction to Algorithms. Solving recurrence T(n) = 2T(n/2) + n4 (page 107) If I make a recurrence tree I get: level 0 n^4 level 1 2(n/2)^4 level 2 4(n/4)^4 level 3 8(n/8)^4 The tree has lg(n) levels. Therefore the recurrence is T(n) = Theta(lg(n)n^4)) But, If I use the Master method I get. Apply case 3: T(n) = Theta(n^4) If I apply the substitution method both seem to hold. Which one is ri?

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  • Mathematics for Computer Science Students

    - by Ender
    To cut a long story short, I am a CS student that has received no formal Post-16 Maths education for years. Right now even my Algebra is extremely rusty and I have a couple of months to shape up my skills. I've got a couple of video lectures in my bookmarks, consisting of: Pre-Calculus Algebra Calculus Probability Introduction to Statistics Differential Equations Linear Algebra My aim as of today is to be able to read the CLRS book Introduction to Algorithms and be able to follow the Mathematical notation in that, as well as being able to confidently read and back-up any arguments written in Mathematical notation. Aside from these video lectures, can anyone recommend any good books to help teach someone wishing to go from a low-foundation level to a more advanced level of Mathematics? Just as a note, I've taken a first-year module in Analytical Modelling, so I understand some of the basic concepts of Discrete Mathematics. EDIT: Just a note to those that are looking to learn Linear Algebra using the Video Lectures I have posted up. Peteris Krumins' Blog contains a run-through of these lecture notes as well as his own commentary and lecture notes, an invaluable resource for those looking to follow the lectures too.

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  • Silverlight WinDg Memory Release Issue

    - by Chris Newton
    Hi, I have used WinDbg succesfully on a number of occasions to track down and fix memory leaks (or more accurately the CLRs inability to garbage collect a released object), but am stuck with one particular control. The control is displayed within a child window and when the window is closed a reference to the control remains and cannot be garbage collected. I have resolved what I believe to be the majority of the issues that could have caused the leak, but the !gcroot of the affected object is not clear (to me at least) as to what is still holding on to this object. The ouput is always the same regardless of the content being presented in the child window: DOMAIN(03FB7238):HANDLE(Pinned):79b12f8:Root: 06704260(System.Object[])- 05719f00(System.Collections.Generic.Dictionary2[[System.IntPtr, mscorlib],[System.Object, mscorlib]])-> 067c1310(System.Collections.Generic.Dictionary2+Entry[[System.IntPtr, mscorlib],[System.Object, mscorlib]][])- 064d42b0(System.Windows.Controls.Grid)- 064d4314(System.Collections.Generic.Dictionary2[[MS.Internal.IManagedPeerBase, System.Windows],[System.Object, mscorlib]])-> 064d4360(System.Collections.Generic.Dictionary2+Entry[[MS.Internal.IManagedPeerBase, System.Windows],[System.Object, mscorlib]][])- 064d3860(System.Windows.Controls.Border)- 064d4218(System.Collections.Generic.Dictionary2[[MS.Internal.IManagedPeerBase, System.Windows],[System.Object, mscorlib]])-> 064d4264(System.Collections.Generic.Dictionary2+Entry[[MS.Internal.IManagedPeerBase, System.Windows],[System.Object, mscorlib]][])- 064d3bfc(System.Windows.Controls.ContentPresenter)- 064d3d64(System.Collections.Generic.Dictionary2[[MS.Internal.IManagedPeerBase, System.Windows],[System.Object, mscorlib]])-> 064d3db0(System.Collections.Generic.Dictionary2+Entry[[MS.Internal.IManagedPeerBase, System.Windows],[System.Object, mscorlib]][])- 064d3dec(System.Collections.Generic.Dictionary2[[System.UInt32, mscorlib],[System.Windows.DependencyObject, System.Windows]])-> 064d3e38(System.Collections.Generic.Dictionary2+Entry[[System.UInt32, mscorlib],[System.Windows.DependencyObject, System.Windows]][])- 06490b04(Insurer.Analytics.SharedResources.Controls.HistoricalKPIViewerControl) If anyone has any ideas about what could potentially be the problem, or if you require more information, please let me know. Kind Regards, Chris

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  • CLR via C# 3rd Edition is out

    - by Abhijeet Patel
    Time for some book news update. CLR via C#, 3rd Edition seems to have been out for a little while now. The book was released in early Feb this year, and needless to say my copy is on it’s way. I can barely wait to dig in and chew on the goodies that one of the best technical authors and software professionals I respect has in store. The 2nd edition of the book was an absolute treat and this edition promises to be no less. Here is a brief description of what’s new and updated from the 2nd edition. Part I – CLR Basics Chapter 1-The CLR’s Execution Model Added about discussion about C#’s /optimize and /debug switches and how they relate to each other. Chapter 2-Building, Packaging, Deploying, and Administering Applications and Types Improved discussion about Win32 manifest information and version resource information. Chapter 3-Shared Assemblies and Strongly Named Assemblies Added discussion of TypeForwardedToAttribute and TypeForwardedFromAttribute. Part II – Designing Types Chapter 4-Type Fundamentals No new topics. Chapter 5-Primitive, Reference, and Value Types Enhanced discussion of checked and unchecked code and added discussion of new BigInteger type. Also added discussion of C# 4.0’s dynamic primitive type. Chapter 6-Type and Member Basics No new topics. Chapter 7-Constants and Fields No new topics. Chapter 8-Methods Added discussion of extension methods and partial methods. Chapter 9-Parameters Added discussion of optional/named parameters and implicitly-typed local variables. Chapter 10-Properties Added discussion of automatically-implemented properties, properties and the Visual Studio debugger, object and collection initializers, anonymous types, the System.Tuple type and the ExpandoObject type. Chapter 11-Events Added discussion of events and thread-safety as well as showing a cool extension method to simplify the raising of an event. Chapter 12-Generics Added discussion of delegate and interface generic type argument variance. Chapter 13-Interfaces No new topics. Part III – Essential Types Chapter 14-Chars, Strings, and Working with Text No new topics. Chapter 15-Enums Added coverage of new Enum and Type methods to access enumerated type instances. Chapter 16-Arrays Added new section on initializing array elements. Chapter 17-Delegates Added discussion of using generic delegates to avoid defining new delegate types. Also added discussion of lambda expressions. Chapter 18-Attributes No new topics. Chapter 19-Nullable Value Types Added discussion on performance. Part IV – CLR Facilities Chapter 20-Exception Handling and State Management This chapter has been completely rewritten. It is now about exception handling and state management. It includes discussions of code contracts and constrained execution regions (CERs). It also includes a new section on trade-offs between writing productive code and reliable code. Chapter 21-Automatic Memory Management Added discussion of C#’s fixed state and how it works to pin objects in the heap. Rewrote the code for weak delegates so you can use them with any class that exposes an event (the class doesn’t have to support weak delegates itself). Added discussion on the new ConditionalWeakTable class, GC Collection modes, Full GC notifications, garbage collection modes and latency modes. I also include a new sample showing how your application can receive notifications whenever Generation 0 or 2 collections occur. Chapter 22-CLR Hosting and AppDomains Added discussion of side-by-side support allowing multiple CLRs to be loaded in a single process. Added section on the performance of using MarshalByRefObject-derived types. Substantially rewrote the section on cross-AppDomain communication. Added section on AppDomain Monitoring and first chance exception notifications. Updated the section on the AppDomainManager class. Chapter 23-Assembly Loading and Reflection Added section on how to deploy a single file with dependent assemblies embedded inside it. Added section comparing reflection invoke vs bind/invoke vs bind/create delegate/invoke vs C#’s dynamic type. Chapter 24-Runtime Serialization This is a whole new chapter that was not in the 2nd Edition. Part V – Threading Chapter 25-Threading Basics Whole new chapter motivating why Windows supports threads, thread overhead, CPU trends, NUMA Architectures, the relationship between CLR threads and Windows threads, the Thread class, reasons to use threads, thread scheduling and priorities, foreground thread vs background threads. Chapter 26-Performing Compute-Bound Asynchronous Operations Whole new chapter explaining the CLR’s thread pool. This chapter covers all the new .NET 4.0 constructs including cooperative cancelation, Tasks, the aralle class, parallel language integrated query, timers, how the thread pool manages its threads, cache lines and false sharing. Chapter 27-Performing I/O-Bound Asynchronous Operations Whole new chapter explaining how Windows performs synchronous and asynchronous I/O operations. Then, I go into the CLR’s Asynchronous Programming Model, my AsyncEnumerator class, the APM and exceptions, Applications and their threading models, implementing a service asynchronously, the APM and Compute-bound operations, APM considerations, I/O request priorities, converting the APM to a Task, the event-based Asynchronous Pattern, programming model soup. Chapter 28-Primitive Thread Synchronization Constructs Whole new chapter discusses class libraries and thread safety, primitive user-mode, kernel-mode constructs, and data alignment. Chapter 29-Hybrid Thread Synchronization Constructs Whole new chapter discussion various hybrid constructs such as ManualResetEventSlim, SemaphoreSlim, CountdownEvent, Barrier, ReaderWriterLock(Slim), OneManyResourceLock, Monitor, 3 ways to solve the double-check locking technique, .NET 4.0’s Lazy and LazyInitializer classes, the condition variable pattern, .NET 4.0’s concurrent collection classes, the ReaderWriterGate and SyncGate classes.

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