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  • GetDC() DllImport for x64 apps

    - by devdept
    If you make a little research on the internet you'll see many DLLImport styles for this user32.dll function: HDC GetDC(HWND hWnd); The question is: what type is more appropriate for .NET x64 apps (either compiled with the Platform target as AnyCPU on a x64 machine or specifically as x64)? IntPtr for example grows to a size of 8 on a x64 process, can this be a problem? Is uint more appropriate than Uint64? What is the size of the pointers this function uses when used in a x64 process? The DLL is called user32.dll does it work as 32bit or 64bit on a x64 operating system? [DllImport("user32.dll",EntryPoint="GetDC")] public static extern IntPtr GetDC(IntPtr hWnd); public static extern uint GetDC(uint hWnd); public static extern int GetDC(int hWnd); Thanks!

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  • Ask Basic Configurator in Apache Commong Log

    - by adisembiring
    I use log4j as logger for my web application. in log4j, I can set the level log in log4j properties or log4j.xml. in log4j, we instance logger as follows: static Logger logger = Logger.getLogger(SomeClass.class); I init log4j basic configurator in a servlet file using init method. But, I usually test application using JUnit, So I init the basic configurator in setup method. after that, I test the application, and I can see the log. Because I deployed, the web in websphere. I change all of logging instance become: private Log log = LogFactory.getLog(Foo.class); I don't know how to load basic configurator using ACL. so I can't control debug level to my JUnit test. do you have any suggestion, without changing static Logger logger = Logger.getLogger(SomeClass.class); become static Logger logger = Logger.getLogger(SomeClass.class);

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  • Error when trying to use hibernate annotations.

    - by Wilhelm
    The error I'm receiving is listed here. That's my HibernateUtil.java package com.rosejapan; import org.hibernate.SessionFactory; import org.hibernate.cfg.AnnotationConfiguration;; public class HibernateUtil { private static final SessionFactory sessionFactory; static { try { // Create the SessionFactory from hibernate.cfg.xml sessionFactory = new AnnotationConfiguration().configure().buildSessionFactory(); } catch(Throwable e) { System.err.println("Initial sessionFactory creation failed. " + e); throw new ExceptionInInitializerError(e); } } public static SessionFactory getSessionFactory() { return sessionFactory; } } Everything looks all right... I've already included log4j-boot.jar in the CLASSPATH, but didn't resolved my problem.

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  • Why does my WIFI connection drop every 5-20 minutes?

    - by Benett Freeman
    There are other questions on this but none have been taken very far in their analysis. I get disconnects very often - sometimes every 20 mins or so, but sometimes even every few minutes. The way I have been getting around it is to disconnect from the Wifi connection and reconnect - and then it works fine again until the next disconnect. I am running 11.04 on an ASUS A52F. Can anyone help me please?

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  • A Hot Topic - Profitability and Cost Management

    - by john.orourke(at)oracle.com
    Maybe it's due to the recent recession, or current economic recovery but a hot topic and area of focus for many organizations these days is profitability and cost management.  For most organizations, aggressive cost-cutting and cost management were critical to remaining profitable while top line revenue was flat or shrinking.  However, now we are seeing many organizations taking a more "surgical" approach to profitability and cost management, by accurately allocating revenue and costs to individual product lines, services, customer segments, locations, channels and other lines of business to understand which ones are truly profitable and which ones are not.  Based on these insights, managers can make more informed decisions about which products or services to invest in or retire, how to price their products or services for different customer segments, and where to focus their marketing and customer service resources. The most common industries where this product, service and customer-focused costing and profitability analysis is being adopted include financial services, consumer packaged goods, retail and manufacturing.  However we are seeing adoption of profitability and cost management applications in other industries and use cases.  Here are a few examples: Telecommunications Industry:  Network Costing and Management to identify the most cost effective and/or profitable network areas, to optimize existing resources, infrastructure and network capacity.  Regulatory Cost Accounting to perform more accurate allocations of revenue and costs across services and customer segments, improve ability to set billing rates for future periods, for various products and customer segments and more easily develop analysis needed for rate case proposals. Healthcare Insurance:  Visually, justifiable Medical Loss Ratio results, better knowledge of the cost to service healthcare plans and members, accurate understanding of member segment and plan profitability, improved marketing programs through better member segmentation. Public Sector:  Statutory / Regulatory Compliance:  A variety of statutory and regulatory documents state explicitly or implicitly that the use of government resources must be properly tracked and tied to performance goals.  Managerial costing methods implemented through Cost Management applications provide unparalleled visibility into costs and shared services usage throughout a Public Sector agency. Funding Support:  Regulations require public sector funding requests to be evaluated based upon the ability to achieve performance goals against the associated cost.   Improved visibility and understanding of costs of different programs/services means that organizations can demonstrably monitor performance and the associated resource costs improve the chances of having their funding requests granted. Profitability and Cost Management is one of the fastest-growing solution areas in Oracle's Enterprise Performance Management product line and we are seeing a growing number of customer successes across geographies and industries.  Listed below are just a few examples.  Here's a link to the replay from a recent webcast on this topic which featured Schroders Plc, a UK-based Financial Services company: http://www.oracle.com/go/?&Src=7011668&Act=168&pcode=WWMK10037859MPP043 Here's a link to a case study on Shenhua Guohua Power in China: http://www.oracle.com/us/corporate/customers/shenhua-snapshot-159574.pdf Here's a link to information on Oracle's web site about our profitability and cost management solutions: http://www.oracle.com/us/solutions/ent-performance-bi/performance-management/profitability-cost-mgmt/index.html

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  • Google I/O 2012 - Enterprise Geospatial in the Cloud

    Google I/O 2012 - Enterprise Geospatial in the Cloud Sean Maday, Mano Marks Google now offers a powerful and versatile cloud hosting solution for geospatial data and analysis. Learn how your business can exploit this potential to reduce costs, increase productivity, and deliver services to your employees and developers using familiar tools like Google Earth and the Google Maps API. For all I/O 2012 sessions, go to developers.google.com From: GoogleDevelopers Views: 790 9 ratings Time: 55:03 More in Science & Technology

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  • Storing member function pointers of derived classes in map

    - by Kiran Mohan
    Hello, I am trying to implement a factory for two classes Circle, Square both of which inherits from Shape. class Shape { public: virtual static Shape * getInstance() = 0; }; class Circle : public Shape { public: static const std::string type; Shape * getInstance() { return new Circle; } }; const std::string Circle::type = "Circle"; class Square : public Shape { public: static const std::string type; Shape * getInstance() { return new Square; } }; const std::string Square::type = "Square"; I want to now create a map with key as shape type (string) and value as a function pointer to getInstance() of the corresponding derived class. Is it possible? Thanks, Kiran

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  • 7 of the Best Free Linux Bible Software

    <b>LinuxLinks:</b> "Now, let's explore the 7 Bible software at hand. For each title we have compiled its own portal page, providing a screenshot of the software in action, a full description with an in-depth analysis of its features, together with links to relevant resources and reviews."

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  • Defining a dd/mm/yyyy field within an abstract table model

    - by Simon Andi
    I have defined an abstract table model but one of the columns should house date values as dd/mm/yyyy format not sure how to do this. I have a external global file and have hard coded the dates as dd/mm/yyyy. How can I define this column within my abstract table model so that to only allow only dates having dd/mm/yyyy format. public class OptraderGlobalParameters { public static boolean DEBUG = true; //Set DEBUG = true for Debugging /*=========================*/ /*Table Array For Dividends*/ /*=========================*/ public static String[] columnNames = {"Date", "Dividend", "Actual", "Yield (%)" }; public static Object[][] data = { {"dd/mm/yyyy", new Double(5), new Boolean(false), new Boolean(false)}, {"dd/mm/yyyy", new Double(5), new Boolean(false), new Boolean(false)}, {"dd/mm/yyyy", new Double(5), new Boolean(false), new Boolean(false)}, {"dd/mm/yyyy", new Double(5), new Boolean(false), new Boolean(false)}, {"dd/mm/yyyy", new Double(5), new Boolean(false), new Boolean(false)}, }; }

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  • How to implement Cocoa copyWithZone on derived object in MonoMac C#?

    - by Justin Aquadro
    I'm currently porting a small Winforms-based .NET application to use a native Mac front-end with MonoMac. The application has a TreeControl with icons and text, which does not exist out of the box in Cocoa. So far, I've ported almost all of the ImageAndTextCell code in Apple's DragNDrop example: https://developer.apple.com/library/mac/#samplecode/DragNDropOutlineView/Listings/ImageAndTextCell_m.html#//apple_ref/doc/uid/DTS40008831-ImageAndTextCell_m-DontLinkElementID_6, which is assigned to an NSOutlineView as a custom cell. It seems to be working almost perfectly, except that I have not figured out how to properly port the copyWithZone method. Unfortunately, this means the internal copies that NSOutlineView is making do not have the image field, and it leads to the images briefly vanishing during expand and collapse operations. The objective-c code in question is: - (id)copyWithZone:(NSZone *)zone { ImageAndTextCell *cell = (ImageAndTextCell *)[super copyWithZone:zone]; // The image ivar will be directly copied; we need to retain or copy it. cell->image = [image retain]; return cell; } The first line is what's tripping me up, as MonoMac does not expose a copyWithZone method, and I don't know how to otherwise call it. Update Based on current answers and additional research and testing, I've come up with a variety of models for copying an object. static List<ImageAndTextCell> _refPool = new List<ImageAndTextCell>(); // Method 1 static IntPtr selRetain = Selector.GetHandle ("retain"); [Export("copyWithZone:")] public virtual NSObject CopyWithZone(IntPtr zone) { ImageAndTextCell cell = new ImageAndTextCell() { Title = Title, Image = Image, }; Messaging.void_objc_msgSend (cell.Handle, selRetain); return cell; } // Method 2 [Export("copyWithZone:")] public virtual NSObject CopyWithZone(IntPtr zone) { ImageAndTextCell cell = new ImageAndTextCell() { Title = Title, Image = Image, }; _refPool.Add(cell); return cell; } [Export("dealloc")] public void Dealloc () { _refPool.Remove(this); this.Dispose(); } // Method 3 static IntPtr selRetain = Selector.GetHandle ("retain"); [Export("copyWithZone:")] public virtual NSObject CopyWithZone(IntPtr zone) { ImageAndTextCell cell = new ImageAndTextCell() { Title = Title, Image = Image, }; _refPool.Add(cell); Messaging.void_objc_msgSend (cell.Handle, selRetain); return cell; } // Method 4 static IntPtr selRetain = Selector.GetHandle ("retain"); static IntPtr selRetainCount = Selector.GetHandle("retainCount"); [Export("copyWithZone:")] public virtual NSObject CopyWithZone (IntPtr zone) { ImageAndTextCell cell = new ImageAndTextCell () { Title = Title, Image = Image, }; _refPool.Add (cell); Messaging.void_objc_msgSend (cell.Handle, selRetain); return cell; } public void PeriodicCleanup () { List<ImageAndTextCell> markedForDelete = new List<ImageAndTextCell> (); foreach (ImageAndTextCell cell in _refPool) { uint count = Messaging.UInt32_objc_msgSend (cell.Handle, selRetainCount); if (count == 1) markedForDelete.Add (cell); } foreach (ImageAndTextCell cell in markedForDelete) { _refPool.Remove (cell); cell.Dispose (); } } // Method 5 static IntPtr selCopyWithZone = Selector.GetHandle("copyWithZone:"); [Export("copyWithZone:")] public virtual NSObject CopyWithZone(IntPtr zone) { IntPtr copyHandle = Messaging.IntPtr_objc_msgSendSuper_IntPtr(SuperHandle, selCopyWithZone, zone); ImageAndTextCell cell = new ImageAndTextCell(copyHandle) { Image = Image, }; _refPool.Add(cell); return cell; } Method 1: Increases the retain count of the unmanaged object. The unmanaged object will persist persist forever (I think? dealloc never called), and the managed object will be harvested early. Seems to be lose-lose all-around, but runs in practice. Method 2: Saves a reference of the managed object. The unmanaged object is left alone, and dealloc appears to be invoked at a reasonable time by the caller. At this point the managed object is released and disposed. This seems reasonable, but on the downside the base type's dealloc won't be run (I think?) Method 3: Increases the retain count and saves a reference. Unmanaged and managed objects leak forever. Method 4: Extends Method 3 by adding a cleanup function that is run periodically (e.g. during Init of each new ImageAndTextCell object). The cleanup function checks the retain counts of the stored objects. A retain count of 1 means the caller has released it, so we should as well. Should eliminate leaking in theory. Method 5: Attempt to invoke the copyWithZone method on the base type, and then construct a new ImageAndTextView object with the resulting handle. Seems to do the right thing (the base data is cloned). Internally, NSObject bumps the retain count on objects constructed like this, so we also use the PeriodicCleanup function to release these objects when they're no longer used. Based on the above, I believe Method 5 is the best approach since it should be the only one that results in a truly correct copy of the base type data, but I don't know if the approach is inherently dangerous (I am also making some assumptions about the underlying implementation of NSObject). So far nothing bad has happened "yet", but if anyone is able to vet my analysis then I would be more confident going forward.

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  • Software Developers

    A Software Developer is a person who analyzes the problem and gathers the information about a particular program. And then on the basis of the analysis the programmer makes error free software which ... [Author: Petter Martine - Computers and Internet - April 11, 2010]

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  • The Other Side of XBRL

    - by john.orourke(at)oracle.com
    With the United States SEC's mandate for XBRL filings entering its third year, and impacting over 7000 additional companies in 2011, there's a lot of buzz in the industry about how companies should address the new reporting requirements.  Should they outsource the XBRL tagging process to a third party publisher, handle the process in-house with a bolt-on XBRL tool, or should they integrate XBRL tagging with the financial close and reporting process?  Oracle is recommending the latter approach, in fact  here's a link to a recent webcast that I did with CFO.com on this topic: http://www.cfo.com/webcasts/index.cfm/l_eventarchive/14548560 But production of XBRL-based filings is only half of the story. The other half is consumption of XBRL by regulators, academics, financial analysts and investors.  As I mentioned in my December article on the XBRL US conference, the feedback from these groups is that they are not really leveraging XBRL for analysis of companies due to a lack of tools and historic XBRL-based data on public companies.   The good news here is that the historic data problem is getting better as large, accelerated filers enter their third year of XBRL filings.  And the situation is getting better on the reporting and analysis tools side of the equation as well - and Oracle is leading the way. In early January, Oracle released the Oracle XBRL Extension for Oracle Database 11g.  This is a "no cost option" on top of the latest Oracle Database 11.2.0.2.0 release. With this added functionality organizations will have the ability to create one or more back-end XBRL repositories based on Oracle Database, which provide XBRL storage and query-ability with a set of XBRL-specific services.  The XBRL Extension to Oracle XML DB integrates easily with Oracle Business Intelligence Suite Enterprise Edition (OBIEE) for analytics and with interactive development environments (IDEs) and design tools for creating and editing XBRL taxonomies. The Oracle XBRL Extension to Oracle Database 11g should be attractive to regulators, stock exchanges, universities and other organizations that need to collect, analyze and disseminate XBRL-based filings.  It should also be attractive to organizations that produce XBRL filings, and need a way to store and compare their own XBRL-based financial filings to those of their peers and competitors. If you would like more information, here's a link to a web page on the Oracle Technology Network with the details about Oracle XBRL Extension for Oracle Database 11g, including data sheet, white paper, presentation, demos and other information: http://www.oracle.com/technetwork/database/features/xmldb/index-087631.html

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  • .NET MVC - Storing database result during single page result?

    - by ropstah
    Fairly simple issue which is solved in PHP by using a static variable. private static $pages; public function Pages() { if($pages == null) { $pages = new PageCollection(); $pages->findAll(); } } Everywhere in my code I use Pages()::someFindFunction() to make sure the results are fetched only once, and I use that same collection. I want the same in my .NET MVC application: use something like: <%=MySite.Pages.findById(1).Title%> In the code below, if I use a private variable, or if I use a public class with shared variables (doesn't matter) they are both persisted during the entire application. I want them to load the same way PHP does, once per request. Now where do I store the .NET equivalent of private static $pages, so that the code below works? //what to do with $pages?? Public Module MySite Public Function Pages() As PageCollection If $pages Is Nothing Then $pages.loadAll() End If Return $pages End Function End Module

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  • Book Review: Fast Track to MDX

    - by Greg Low
    Another book that I re-read while travelling last week was Fast Track to MDX . I still think that it's the best book that I've seen for introducing the core concepts of MDX. SolidQ colleague Mark Whitehorn, along with Mosha Pasumansky and Robert Zare do an amazing job of building MDX knowledge throughout the book. I had dinner with Mark in London a few years back and I was pestering him to update this book. The biggest limitation of the book is that it was written for SQL Server 2000 Analysis Services,...(read more)

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  • Extremely large spike in traffic on the 1st - 4th of every month from mobile browsers

    - by wsanville
    I've noticed that on the 1st - 4th of the recent months (since January), several sites I maintain are getting thousands of requests from mobile browsers, whereas throughout the rest of the month, the numbers are in the single or double digits. Has anybody else noticed this sort of behavior? I don't have the exact user agents logged, but my analysis software (WebTrends) reports the traffic as mostly iPhone/iPad/iPod, Android, and Blackberry.

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  • NDepend 4.0 Released

    - by Anthony Trudeau
    Last week version 4.0 of NDepend was released.  NDepend is a Visual Studio add-in designed for intense code analysis with the goal of high quality code.  A month ago I wrapped up my evaluation of the previous version of NDepend. The new version contains many minor changes, several bug fixes, and adds about 50 new code rules.  The version also adds support for Visual Studio 11, .NET Framework 4.5, and SilverLight 5.0.  But, the biggest change was the shift from CQL to CQLinq. Introducing CQLinq The latest version replaces the CQL rules language with CQLinq (CQL is still an option although the editor is buried).  As you might guess CQLinq is a flavor of Linq designed specifically for the code rules. The best way to illustrate the differences is with an example.  I used the following CQL example in Part 3 of my review: WARN IF Count > 0 IN SELECT TYPES WHERE IsInterface AND !NameLike “I” This same query looks like this when implemented in CQLinq: warnif count > 0 from t in Types where t.IsInterface == true && !t.NameLike(“I”) select t I like the syntax and it is a natural fit, but I found writing the queries frustrating in the Queries and Rules Edit window.  The Queries and Rules Edit window replaces the CQL Query Edit window.  The new editor has the same style of Intellisense as the previous editor.  However, it has a few annoyances.  The error indicator is a red block.  It has the tendency of obscuring your cursor.  Additionally, writing CQLing queries is like writing plain old Linq queries, so the fact that the editor uses Enter to select from Intellisense instead of Tab is jarring.  These issues can be an obstacle to writing queries quickly.CQLinq makes it possible to write rules that weren't possible before.  Additionally, a JustMyCode domain is now possible making it easy to eliminate generated code from the analysis.Should you Buy? I recommend NDepend overall.  It has some rough points for me that I have detailed in my earlier evaluation (starting here).  But, it’s definitely worth the money.  The bigger question is: should I pay for the upgrade to 4.0?  At this point I’m on the fence, but I would go for it if you need support for Visual Studio 2011, .NET Framework 4.5, or Silverlight 5.0; or if you need one of the many rules that weren't possible before CQLinq. Disclaimer: Patrick Smacchia contacted me about reviewing NDepend. I received a free license in return for sharing my experiences and talking about the capabilities of the add-in on this site. There is no expectation of a positive review elicited from the author of NDepend. Resources: NDepend Release Notes

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  • Free eBooks - SQL Server and other Microsoft Technologies

    - by Greg Low
    Great to see the advice from Gail Erickson about the release of a number of SQL Server related eBooks on the new Microsoft eBook Gallery site. It's good to see this sort of content moving over to eBook formats.The e-books that are currently available include: SQL Server 2012 Transact-SQL DML Reference Master Data Services Capacity Guidelines Microsoft SQL Server AlwaysOn Solutions Guide for High Availability and Disaster Recovery QuickStart: Learn DAX Basics in 30 Minutes Microsoft SQL Server Analysis Services Multidimensional Performance and Operations Guide You'll find details of them here: http://social.technet.microsoft.com/wiki/contents/articles/11608.e-book-gallery-for-microsoft-technologies.aspx

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  • Function matching in Qt

    - by Alexander
    Hello, I have some trouble with Qt. I have a class 'Core' class Core { public: static QString get_file_content(QString filename); static void setMainwindow(MainWindow *w); private: static MainWindow *main_window; }; and class 'MainWindow' in namespace Ui: namespace Ui { class MainWindow; } class MainWindow : public QMainWindow { Q_OBJECT public: MainWindow(QWidget *parent = 0); ~MainWindow(); private: Ui::MainWindow *ui; }; In MainWindow constructor I make MainWindow::MainWindow(QWidget *parent) : QMainWindow(parent), ui(new Ui::MainWindow) { ui->setupUi(this); Core::setMainwindow(this); } and gets error mainwindow.cpp:8: error: no matching function for call to 'Core::setMainwindow(MainWindow* const)' Of cource, i include core.h with declaration of 'Core' class. That's occurs only on setMainwindow method. So the questions is - why Core class method setMainwindow() is invisible in MainWindow class?

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  • Any way to use a class extension method to support an interface method in C#?

    - by dudeNumber4
    Console app below compiles, but the interface cast fails at run time. Is there an easy way to make this work? namespace ConsoleApplication1 { class Monkey { public string Shock { get { return "Monkey has been shocked."; } } } static class MonkeyExtensionToSupportIWombat { public static string ShockTheMonkey( this Monkey m ) { return m.Shock; } } interface IWombat { string ShockTheMonkey(); } class Program { static void Main( string[] args ) { var monkey = new Monkey(); Console.WriteLine( "Shock the monkey without the interface: {0}", monkey.Shock ); IWombat wombat = monkey as IWombat; Console.WriteLine( "Shock the monkey with the interface: {0}", wombat.ShockTheMonkey() ); Console.ReadLine(); } } }

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  • How do you track display impressions in Google Analytics on non Google networks?

    - by dee
    Google Analytics has a Multi-Channel funnel analysis feature that we’d like to use to understand assisted conversions and how each channel has impacted on conversion beyond just last interaction attribution. My current understanding is that the impression tracking part of this feature works really well when playing within Google’s search and display networks. Outside of Google’s network I suspect that impression tracking will no longer “just work” and feed back into GA appropriately. What our options are for tracking display impressions on other advertising networks so that we can be attributing value correctly with GA?

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  • Why Keyword Research Should Come First

    Every online business should begin with keywords research and analysis. Unfortunately, there are a great number of online entrepreneurs that focus on site construction first before they think of this fundamental element. Not tackling keyword units first can lead to certain difficulties.

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  • Why .NET Boolean has TrueLiteral and TrueString?

    - by user309937
    Why in Boolean type there are two fields with the same value? internal const int True = 1; internal const int False = 0; internal const string TrueLiteral = "True"; internal const string FalseLiteral = "False"; and public static readonly string TrueString; public static readonly string FalseString; static Boolean() { TrueString = "True"; FalseString = "False"; } in reflector generated code, methods don't use those strings but: public string ToString(IFormatProvider provider) { if (!this) { return "False"; } return "True"; } would't it be better to use those const values?

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  • Is this a correct Interlocked synchronization design?

    - by Dan Bryant
    I have a system that takes Samples. I have multiple client threads in the application that are interested in these Samples, but the actual process of taking a Sample can only occur in one context. It's fast enough that it's okay for it to block the calling process until Sampling is done, but slow enough that I don't want multiple threads piling up requests. I came up with this design (stripped down to minimal details): public class Sample { private static Sample _lastSample; private static int _isSampling; public static Sample TakeSample(AutomationManager automation) { //Only start sampling if not already sampling in some other context if (Interlocked.CompareExchange(ref _isSampling, 0, 1) == 0) { try { Sample sample = new Sample(); sample.PerformSampling(automation); _lastSample = sample; } finally { //We're done sampling _isSampling = 0; } } return _lastSample; } private void PerformSampling(AutomationManager automation) { //Lots of stuff going on that shouldn't be run in more than one context at the same time } } Is this safe for use in the scenario I described?

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  • What Precalculus knowledge is required before learning Discrete Math Computer Science topics?

    - by Ein Doofus
    Below I've listed the chapters from a Precalculus book as well as the author recommended Computer Science chapters from a Discrete Mathematics book. Although these chapters are from two specific books on these subjects I believe the topics are generally the same between any Precalc or Discrete Math book. What Precalculus topics should one know before starting these Discrete Math Computer Science topics?: Discrete Mathematics CS Chapters 1.1 Propositional Logic 1.2 Propositional Equivalences 1.3 Predicates and Quantifiers 1.4 Nested Quantifiers 1.5 Rules of Inference 1.6 Introduction to Proofs 1.7 Proof Methods and Strategy 2.1 Sets 2.2 Set Operations 2.3 Functions 2.4 Sequences and Summations 3.1 Algorithms 3.2 The Growths of Functions 3.3 Complexity of Algorithms 3.4 The Integers and Division 3.5 Primes and Greatest Common Divisors 3.6 Integers and Algorithms 3.8 Matrices 4.1 Mathematical Induction 4.2 Strong Induction and Well-Ordering 4.3 Recursive Definitions and Structural Induction 4.4 Recursive Algorithms 4.5 Program Correctness 5.1 The Basics of Counting 5.2 The Pigeonhole Principle 5.3 Permutations and Combinations 5.6 Generating Permutations and Combinations 6.1 An Introduction to Discrete Probability 6.4 Expected Value and Variance 7.1 Recurrence Relations 7.3 Divide-and-Conquer Algorithms and Recurrence Relations 7.5 Inclusion-Exclusion 8.1 Relations and Their Properties 8.2 n-ary Relations and Their Applications 8.3 Representing Relations 8.5 Equivalence Relations 9.1 Graphs and Graph Models 9.2 Graph Terminology and Special Types of Graphs 9.3 Representing Graphs and Graph Isomorphism 9.4 Connectivity 9.5 Euler and Hamilton Ptahs 10.1 Introduction to Trees 10.2 Application of Trees 10.3 Tree Traversal 11.1 Boolean Functions 11.2 Representing Boolean Functions 11.3 Logic Gates 11.4 Minimization of Circuits 12.1 Language and Grammars 12.2 Finite-State Machines with Output 12.3 Finite-State Machines with No Output 12.4 Language Recognition 12.5 Turing Machines Precalculus Chapters R.1 The Real-Number System R.2 Integer Exponents, Scientific Notation, and Order of Operations R.3 Addition, Subtraction, and Multiplication of Polynomials R.4 Factoring R.5 Rational Expressions R.6 Radical Notation and Rational Exponents R.7 The Basics of Equation Solving 1.1 Functions, Graphs, Graphers 1.2 Linear Functions, Slope, and Applications 1.3 Modeling: Data Analysis, Curve Fitting, and Linear Regression 1.4 More on Functions 1.5 Symmetry and Transformations 1.6 Variation and Applications 1.7 Distance, Midpoints, and Circles 2.1 Zeros of Linear Functions and Models 2.2 The Complex Numbers 2.3 Zeros of Quadratic Functions and Models 2.4 Analyzing Graphs of Quadratic Functions 2.5 Modeling: Data Analysis, Curve Fitting, and Quadratic Regression 2.6 Zeros and More Equation Solving 2.7 Solving Inequalities 3.1 Polynomial Functions and Modeling 3.2 Polynomial Division; The Remainder and Factor Theorems 3.3 Theorems about Zeros of Polynomial Functions 3.4 Rational Functions 3.5 Polynomial and Rational Inequalities 4.1 Composite and Inverse Functions 4.2 Exponential Functions and Graphs 4.3 Logarithmic Functions and Graphs 4.4 Properties of Logarithmic Functions 4.5 Solving Exponential and Logarithmic Equations 4.6 Applications and Models: Growth and Decay 5.1 Systems of Equations in Two Variables 5.2 System of Equations in Three Variables 5.3 Matrices and Systems of Equations 5.4 Matrix Operations 5.5 Inverses of Matrices 5.6 System of Inequalities and Linear Programming 5.7 Partial Fractions 6.1 The Parabola 6.2 The Circle and Ellipse 6.3 The Hyperbola 6.4 Nonlinear Systems of Equations

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