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  • How do call this symbolic code transformation ?

    - by erric
    Hi, I often cross this kind of code transformation (or even mathematical transformation) (python example, but applies to any language) I've go a function def f(x): return x I use it into another one. def g(x): return f(x)*f(x) print g(2) leads to 4 But I want to remove the functional dependency, and I change the function g into def g(f): return f*f print g( f(2) ) leads to 4 too How do you call this kind of transformation, locally turning a function into a scalar ?

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  • handling large number

    - by klw
    Hello, this is actually an problem question from project euler site http://projecteuler.net/index.php?section=problems&id=3 Anyway I'm not out after the solution, but I probably guess you will know what my approach is. To my question now, how do I handle numbers exceeding unsigned int? Is there a mathematical approach for this, if so where can I read about it?

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  • A Guided Tour of Complexity

    - by JoshReuben
    I just re-read Complexity – A Guided Tour by Melanie Mitchell , protégé of Douglas Hofstadter ( author of “Gödel, Escher, Bach”) http://www.amazon.com/Complexity-Guided-Tour-Melanie-Mitchell/dp/0199798109/ref=sr_1_1?ie=UTF8&qid=1339744329&sr=8-1 here are some notes and links:   Evolved from Cybernetics, General Systems Theory, Synergetics some interesting transdisciplinary fields to investigate: Chaos Theory - http://en.wikipedia.org/wiki/Chaos_theory – small differences in initial conditions (such as those due to rounding errors in numerical computation) yield widely diverging outcomes for chaotic systems, rendering long-term prediction impossible. System Dynamics / Cybernetics - http://en.wikipedia.org/wiki/System_Dynamics – study of how feedback changes system behavior Network Theory - http://en.wikipedia.org/wiki/Network_theory – leverage Graph Theory to analyze symmetric  / asymmetric relations between discrete objects Algebraic Topology - http://en.wikipedia.org/wiki/Algebraic_topology – leverage abstract algebra to analyze topological spaces There are limits to deterministic systems & to computation. Chaos Theory definitely applies to training an ANN (artificial neural network) – different weights will emerge depending upon the random selection of the training set. In recursive Non-Linear systems http://en.wikipedia.org/wiki/Nonlinear_system – output is not directly inferable from input. E.g. a Logistic map: Xt+1 = R Xt(1-Xt) Different types of bifurcations, attractor states and oscillations may occur – e.g. a Lorenz Attractor http://en.wikipedia.org/wiki/Lorenz_system Feigenbaum Constants http://en.wikipedia.org/wiki/Feigenbaum_constants express ratios in a bifurcation diagram for a non-linear map – the convergent limit of R (the rate of period-doubling bifurcations) is 4.6692016 Maxwell’s Demon - http://en.wikipedia.org/wiki/Maxwell%27s_demon - the Second Law of Thermodynamics has only a statistical certainty – the universe (and thus information) tends towards entropy. While any computation can theoretically be done without expending energy, with finite memory, the act of erasing memory is permanent and increases entropy. Life & thought is a counter-example to the universe’s tendency towards entropy. Leo Szilard and later Claude Shannon came up with the Information Theory of Entropy - http://en.wikipedia.org/wiki/Entropy_(information_theory) whereby Shannon entropy quantifies the expected value of a message’s information in bits in order to determine channel capacity and leverage Coding Theory (compression analysis). Ludwig Boltzmann came up with Statistical Mechanics - http://en.wikipedia.org/wiki/Statistical_mechanics – whereby our Newtonian perception of continuous reality is a probabilistic and statistical aggregate of many discrete quantum microstates. This is relevant for Quantum Information Theory http://en.wikipedia.org/wiki/Quantum_information and the Physics of Information - http://en.wikipedia.org/wiki/Physical_information. Hilbert’s Problems http://en.wikipedia.org/wiki/Hilbert's_problems pondered whether mathematics is complete, consistent, and decidable (the Decision Problem – http://en.wikipedia.org/wiki/Entscheidungsproblem – is there always an algorithm that can determine whether a statement is true).  Godel’s Incompleteness Theorems http://en.wikipedia.org/wiki/G%C3%B6del's_incompleteness_theorems  proved that mathematics cannot be both complete and consistent (e.g. “This statement is not provable”). Turing through the use of Turing Machines (http://en.wikipedia.org/wiki/Turing_machine symbol processors that can prove mathematical statements) and Universal Turing Machines (http://en.wikipedia.org/wiki/Universal_Turing_machine Turing Machines that can emulate other any Turing Machine via accepting programs as well as data as input symbols) that computation is limited by demonstrating the Halting Problem http://en.wikipedia.org/wiki/Halting_problem (is is not possible to know when a program will complete – you cannot build an infinite loop detector). You may be used to thinking of 1 / 2 / 3 dimensional systems, but Fractal http://en.wikipedia.org/wiki/Fractal systems are defined by self-similarity & have non-integer Hausdorff Dimensions !!!  http://en.wikipedia.org/wiki/List_of_fractals_by_Hausdorff_dimension – the fractal dimension quantifies the number of copies of a self similar object at each level of detail – eg Koch Snowflake - http://en.wikipedia.org/wiki/Koch_snowflake Definitions of complexity: size, Shannon entropy, Algorithmic Information Content (http://en.wikipedia.org/wiki/Algorithmic_information_theory - size of shortest program that can generate a description of an object) Logical depth (amount of info processed), thermodynamic depth (resources required). Complexity is statistical and fractal. John Von Neumann’s other machine was the Self-Reproducing Automaton http://en.wikipedia.org/wiki/Self-replicating_machine  . Cellular Automata http://en.wikipedia.org/wiki/Cellular_automaton are alternative form of Universal Turing machine to traditional Von Neumann machines where grid cells are locally synchronized with their neighbors according to a rule. Conway’s Game of Life http://en.wikipedia.org/wiki/Conway's_Game_of_Life demonstrates various emergent constructs such as “Glider Guns” and “Spaceships”. Cellular Automatons are not practical because logical ops require a large number of cells – wasteful & inefficient. There are no compilers or general program languages available for Cellular Automatons (as far as I am aware). Random Boolean Networks http://en.wikipedia.org/wiki/Boolean_network are extensions of cellular automata where nodes are connected at random (not to spatial neighbors) and each node has its own rule –> they demonstrate the emergence of complex  & self organized behavior. Stephen Wolfram’s (creator of Mathematica, so give him the benefit of the doubt) New Kind of Science http://en.wikipedia.org/wiki/A_New_Kind_of_Science proposes the universe may be a discrete Finite State Automata http://en.wikipedia.org/wiki/Finite-state_machine whereby reality emerges from simple rules. I am 2/3 through this book. It is feasible that the universe is quantum discrete at the plank scale and that it computes itself – Digital Physics: http://en.wikipedia.org/wiki/Digital_physics – a simulated reality? Anyway, all behavior is supposedly derived from simple algorithmic rules & falls into 4 patterns: uniform , nested / cyclical, random (Rule 30 http://en.wikipedia.org/wiki/Rule_30) & mixed (Rule 110 - http://en.wikipedia.org/wiki/Rule_110 localized structures – it is this that is interesting). interaction between colliding propagating signal inputs is then information processing. Wolfram proposes the Principle of Computational Equivalence - http://mathworld.wolfram.com/PrincipleofComputationalEquivalence.html - all processes that are not obviously simple can be viewed as computations of equivalent sophistication. Meaning in information may emerge from analogy & conceptual slippages – see the CopyCat program: http://cognitrn.psych.indiana.edu/rgoldsto/courses/concepts/copycat.pdf Scale Free Networks http://en.wikipedia.org/wiki/Scale-free_network have a distribution governed by a Power Law (http://en.wikipedia.org/wiki/Power_law - much more common than Normal Distribution). They are characterized by hubs (resilience to random deletion of nodes), heterogeneity of degree values, self similarity, & small world structure. They grow via preferential attachment http://en.wikipedia.org/wiki/Preferential_attachment – tipping points triggered by positive feedback loops. 2 theories of cascading system failures in complex systems are Self-Organized Criticality http://en.wikipedia.org/wiki/Self-organized_criticality and Highly Optimized Tolerance http://en.wikipedia.org/wiki/Highly_optimized_tolerance. Computational Mechanics http://en.wikipedia.org/wiki/Computational_mechanics – use of computational methods to study phenomena governed by the principles of mechanics. This book is a great intuition pump, but does not cover the more mathematical subject of Computational Complexity Theory – http://en.wikipedia.org/wiki/Computational_complexity_theory I am currently reading this book on this subject: http://www.amazon.com/Computational-Complexity-Christos-H-Papadimitriou/dp/0201530821/ref=pd_sim_b_1   stay tuned for that review!

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  • Best CMS to handle short snippets of text?

    - by Federico Poloni
    I have to install a CMS to manage a set of mathematical problems, i.e., our main content will be short (~3 lines) snippets of text. We need the ability to add comments and categories/tags, possibly with a powerful search function combining different constraints on the categories. A crucial ability is the possibility to combine the results of a search in the same page to produce a (printable) problem sheet: not many CMS's seem to be able to do so, and it is difficult for me to test every one for this specific function. Do you guys know of a CMS that is capable to return formatted search result in this fashion? Thanks in advance!

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  • Sorting IPv4 Addresses

    - by Kumba
    So I've run into a quandary on sorting IPv4 addresses, and didn't know if there was a set rule in some obscure networking document. Do I do a straight sort on the raw address only (such as converting the IP address to a 32bit number and then sorting), do I factor in the CIDR via some mathematical formula, do I sort via the CIDR only (as if I'm comparing the network size and not the addresses directly)? I.e., normal math, we'd do something like -1 < 0 < 1 to denote the order of precedence. Given say, 10.1.0.0/16, 172.16.0.0/12, 192.168.1.0/24, and 192.168.1.42, what would be the order of precedence?

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  • Emacs quail: Less verbose completions?

    - by kdb
    Emacs's quail functionality with (set-input-method "TeX") is great for typesetting mathematical notes in plain text. It even has completions, but, well... After \su<TAB> I get Possible completion and corresponding characters are: \su: - \sub: - \subs: - \subse: - \subset:(1/1) 1.? \suc: - \succ:(1/1) 1.? \succa: - \succap: - \succc: - \succcu: - \succe: - \succeq:(1/1) 1.? \succn: - \succna: - \succns: - \succs: - \succsi: - \sum:(1/1) 1.? \sup: - \sups: - \supse: - \supset:(1/1) 1.? \sur: - \surd:(1/1) 1.v Is there some possibility to make the completion output less verbose, showing only the full completions rather than the full paths?

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  • Standalone server setup for compute capacity

    - by mikera
    I'm developing an application for my company that will require a lot of compute capacity (running some very big mathematical calculations), and looking for some form of server setup to do this. For various reasons, we want to run this on-site in our office rather than hosting it externally. It's been a while since I last had to set up my own servers so I thought I would tap into the collective wisdom of serverfault! My broad requirements are: Budget $30-50k, with an aim to get as much compute capacity as possible for that budget 64-bit servers suitable to run Ubuntu Linux + Java Some relatively standalone rack that can be installed in secure office space Fast/low latency network connections between the servers, but don't really care about connectivity to the outside world Storage capacity shared between the servers - they don't necessarily need their own storage providing they can be booted from a common image Downtime can be tolerated (since the calculations are run in batch mode) The software itself is fault-tolerant, so there is no need for extra resiliency in the server setup (cheap replaceable commodity parts will be fine in general) Given these requirements what kind of setup would you recommend and why?

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  • Good bitmap fonts with big sizes and unicode support

    - by bitonic
    I really like bitmap fonts for programming/terminal. As far as I know there are two bitmap fonts with good unicode support: Unifont Fixed The problem is that I have a really high resolution screen, and they're both too small. Fixed does include a large size (10x20) but it looks really bad (it's basically always bold, and bold is a different face). Are there any other bitmap fonts with unicode support and large sizes? Terminus is the only font with a decent size but it doesn't have good unicode support. Having good coverage for mathematical symbols would be enough, since that's what I need.

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  • Change filtering method used by Firefox when zooming

    - by peak
    I often zoom in a step or two when reading long texts in Firefox, but when I do so the images become super blurry. It's not really a big deal but when reading text on images (mathematical equations mostly), it's a bit distracting. It seems as if they are scaled using only bilinear interpolation. If I scale an image the same amount in for example Paint.NET or Photoshop the result is much better. Is there any way to change the filtering method used by Firefox to bicubic or another better method? I am Using Firefox 3.5 on Windows BTW.

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  • CodePlex Daily Summary for Sunday, April 11, 2010

    CodePlex Daily Summary for Sunday, April 11, 2010New ProjectsArkzia: This Silverlight game.CodePlex Wiki Editor: CodePlex Wiki Editor makes it easier for CodePlex users to create their wiki documentations. This project offer a rich interface for the edition...Evaluate: Evaluate & Comet DWR like .NET library with powerfull Evaluate and Ajax Comet support. Also, you may use Evaluate library in your own .Net applicat...FamAccountor: 家庭记账薄Horadric: This is common tools freamwork!K8061.Managed: This is a solution to use the Velleman Extended K8061 USB Interface board with .net and to have a nice wrapper handling most of the overhead for us...Latent semantic analysis: all you need is to use!: Baggr is feed aggregator with web interface, user rating and LSA filter. Enjoy it!LIF7 ==> RISK : TOWER DEFENSE: Université Lyon 1, L2 MATH-INFO 2009-2010 Semestre de printemps Projet RISK : TOWER DEFENSE Membres : Jessica El Melhem, Vincent Sébille, et Jonat...Managed ESL Suite: Managed ESL Suite using C# for FreeSWITCH Omni-Tool - A program version concept of the tool used in Mass Effect.: A program version concept of the tool used in Mass Effect. It will support little apps (plugins) that run inside the UI. Its talor mainly at develo...PdxCodeCamp: Web application for Portland Code CampProjeto Vírus: Desenvolvimento do Jogo Virus em XNAsilverlight control - stars with rounded corners: Draw stars and cogs including rounded cornersSilverlight MathParser: Implementation of mathematical expressions parser to compute and functions.turing machine simulator: Project for JCE in course SW engeenering. Turing Machine simulator with GUI.WpD - Wallpapers Downloader: You can easy download wallpapers to your computer without any advertising or registration. On 5 minutes you can download so many wallpapers!New ReleasesAJAX Control Framework: v1.0.0.0: New AJAX project that helps you create AJAX enabled controls. Make use of control level AJAX methods, a Script Manager that works like you'd expect...AutoFixture: Version 1.1: This is version 1.1 of AutoFixture. This release contains no known bugs. Compared to Release Candidate 1 for version 1.1, there are no changes. Ho...AutoPoco: AutoPoco 0.3: Method Invocation in configuration Custom type providers during configuration Method invocation for generationBacicworx (Basic Services Framework): 3.0.10.410 (Beta): Major update, winnowing, and recode of the library. Removed redundant classses and methods which have similar functionality to those available in ...Bluetooth Radar: Version 1.5: Mostly UI and Animation Changes.BUtil: BUtil 4.9: 1. Icons of kneo are almost removed 2. Deployment was moved to codeplex.com 3. Adding of storages was unavailable when any of storages are used FIXEDcrudwork library: crudwork 2.2.0.3: few bug fixes new object viewer - allow the user to view and change an object through the property grid and/or the simple XML editor pivot table ...EnhSim: Release v1.9.8.5: Release v1.9.8.5Removed the debugging output from the Armor Penetration change.EnhSim: Release v1.9.8.6: Release v1.9.8.6Updated release to include the correct version of EnhSimGUIEvaluate: Evaluate Library: This file contains Evaluate library source code under Visual Studio project. Also, there is a sample project to see the use.ExcelDna: ExcelDna Version 0.25: This is an important bugfix release, with the following changes: Fix case where unpacked .config temp file might not be deleted. Fix compiler pro...FamAccountor: 家庭账薄 预览版v0.0.1: 家庭账薄 预览版v0.0.1 该版本提供基本功能，还有待扩展! Feature: 实现基本添加、编辑、删除功能。FamAccountor: 家庭账薄 预览版v0.0.2: 家庭账薄 预览版v0.0.2 该版本提供基本功能，还有待扩展! Feature: 添加账户管理功能。Folder Bookmarks: Folder Bookmarks 1.4.2: This is the latest version of Folder Bookmarks (1.4.2), with general improvements. It has an installer - it will create a directory 'CPascoe' in My...GKO Libraries: GKO Libraries 0.3 Beta: Added Silverlight support for Gko.Utils Added ExtensionsHash Calculator: HashCalculator 1.2: HashCalculator 1.2HD-Trailers.NET Downloader: Version: TrailersOnly if set to 'true' only titles with 'trailer' in the title will be download MinTrailerSize Added a minimum trailer size, this avoids t...Home Access Plus+: v3.2.6.0: v3.2.5.1 Release Change Log: Add lesson naming Fixed a bug in the help desk which was rendering the wrong URL for tickets Planning has started ...HTML Ruby: 6.20.0: All new concept, all new code. Because this release does not support complex ruby annotations, "Furigana Injector" is not supported by this release...HTML Ruby: 6.20.1: Fixed problem where ruby with closed tags but no rb tag will result in empty page Added support for complex ruby annotation (limited single ruby)...K8061.Managed: K8061.Managed: This is a pre-compilled K8061.Managed.DLL file release 1.0.Kooboo CMS: Kooboo CMS 2.1.0.0: Users of Kooboo CMS 2.0, please use the "Check updates" feature under System to upgrade New featuresWebDav support You can now use tools like w...Kooboo forum: Kooboo Forum Module for 2.1.0.0: Compatible with Kooboo cms 2.1.0.0 Upgrade to MVC 2Kooboo GoogleAnalytics: Kooboo GoogleAnalytics Module for 2.1.0.0: Compatible with Kooboo cms 2.1.0.0 Upgrade to MVC 2Kooboo wiki: Kooboo CMS Wiki module for 2.1.0.0: Compatible with Kooboo cms 2.1.0.0 Upgrade to MVC 2Mavention: Mavention Simple SiteMapPath: Mavention Simple SiteMapPath is a custom control that renders breadcrumbs as an unordered list what makes it a perfect solution for breadcrumbs on ...MetaSharp: MetaSharp v0.3: MetaSharp v0.3 Roadmap: Oslo Independence Custom Grammar library Improved build environment dogfooding Project structure simplificationsRoTwee: RoTwee (10.0.0.7): New feature of this version is support for mouse wheel. You can rotate tweets rotating mouse wheel.silverlight control - stars with rounded corners: first step: These are the first examples.Silverlight MathParser: Silverlight MathParser 1.0: Implementation of mathematical expressions parser to compute and functions.SimpleGeo.NET: SimpleGeo.NET example website project: ConfigurationYou must change these three configuration values in AppSettings.config: Google Maps API key: for the maps on the test site. Get one he...StickyTweets: 0.6.0: Version 0.6.0 Code - PERFORMANCE Hook into Async WinInet to perform async requests without adding an additional thread Code - Verify that async r...System.Html: Version 1.3; fixed bugs and improved performance: This release incorporates bug fixes, a new normalize method proposed by RudolfHenning of Codeplex.VCC: Latest build, v2.1.30410.0: Automatic drop of latest buildVFPX: FoxTabs 0.9.2: The following issues were addressed: 26744 24954 24767Visual Studio DSite: Advanced Guessing Number Game (Visual C++ 2008): A guessing number game made in visual c 2008.WpD - Wallpapers Downloader: WpD v0.1: My first release, I hope you enjoyMost Popular ProjectsWBFS ManagerRawrASP.NET Ajax LibraryMicrosoft SQL Server Product Samples: DatabaseAJAX Control ToolkitSilverlight ToolkitWindows Presentation Foundation (WPF)ASP.NETMicrosoft SQL Server Community & SamplesFacebook Developer ToolkitMost Active ProjectsRawrnopCommerce. Open Source online shop e-commerce solution.AutoPocopatterns & practices – Enterprise LibraryShweet: SharePoint 2010 Team Messaging built with PexFarseer Physics EngineNB_Store - Free DotNetNuke Ecommerce Catalog ModuleIonics Isapi Rewrite FilterBlogEngine.NETBeanProxy

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  • Python — Time complexity of built-in functions versus manually-built functions in finite fields

    - by stackuser
    Generally, I'm wondering about the advantages versus disadvantages of using the built-in arithmetic functions versus rolling your own in Python. Specifically, I'm taking in GF(2) finite field polynomials in string format, converting to base 2 values, performing arithmetic, then output back into polynomials as string format. So a small example of this is in multiplication: Rolling my own: def multiply(a,b): bitsa = reversed("{0:b}".format(a)) g = [(b<<i)*int(bit) for i,bit in enumerate(bitsa)] return reduce(lambda x,y: x+y,g) Versus the built-in: def multiply(a,b): # a,b are GF(2) polynomials in binary form .... return a*b #returns product of 2 polynomials in gf2 Currently, operations like multiplicative inverse (with for example 20 bit exponents) take a long time to run in my program as it's using all of Python's built-in mathematical operations like // floor division and % modulus, etc. as opposed to making my own division, remainder, etc. I'm wondering how much of a gain in efficiency and performance I can get by building these manually (as shown above). I realize the gains are dependent on how well the manual versions are built, that's not the question. I'd like to find out 'basically' how much advantage there is over the built-in's. So for instance, if multiplication (as in the example above) is well-suited for base 10 (decimal) arithmetic but has to jump through more hoops to change bases to binary and then even more hoops in operating (so it's lower efficiency), that's what I'm wondering. Like, I'm wondering if it's possible to bring the time down significantly by building them myself in ways that maybe some professionals here have already come across.

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  • What is spreadsheet useful for?

    - by zvrba
    I have been in computer business for 15 years in various roles (sysadmin, developer, researcher), and I have never encountered someone using excel for something more advanced than for formatting tables, or as an ad-hoc database that could have been maintained in a text-file. I had to do heavy data-processing and plotting and for that I used some perl scripts + gnuplot, got tiredof it, and went over to R eventually. 2D spreadsheet just didn't seem well-suited for doing statistical analyses over 5-dimensional datasets (not to mention that it produces UGLY plots). I attempted to use spreadsheet for time-tracking, and found out that I would have better been served by a relational database, so I gave up on using excel for that too. For example, it's important to consistently name tasks, and I needed to find out unique task names in a given column across several sheets (I had one timesheet for each month). How do you make such "query" in a program that essentially evaluates independent cells and has little notion of relations between them? So, what are spreadsheets useful for? Why do they have a bunch of mathematical stuff built into them when, AFAICT, people use them mostly as table formatters or bad substitutes for databases?

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  • Monster's AI in an Action-RPG

    - by Andrea Tucci
    I'm developing an action rpg with some University colleagues. We've gotton to the monsters' AI design and we would like to implement a sort of "utility-based AI" so we have a "thinker" that assigns a numeric value on all the monster's decisions and we choose the highest (or the most appropriate, depending on monster's iq) and assign it in the monster's collection of decisions (like a goal-driven design pattern) . One solution we found is to write a mathematical formula for each decision, with all the important parameters for evaluation (so for a spell-decision we might have mp,distance from player, player's hp etc). This formula also has coefficients representing some of monster's behaviour (in this way we can alterate formulas by changing coefficients). I've also read how "fuzzy logic" works; I was fascinated by it and by the many ways of expansion it has. I was wondering how we could use this technique to give our AI more semplicity, as in create evaluations with fuzzy rules such as IF player_far AND mp_high AND hp_high THEN very_Desiderable (for a spell having an high casting-time and consume high mp) and then 'defuzz' it. In this way it's also simple to create a monster behaviour by creating ad-hoc rules for every monster's IQ category. But is it correct using fuzzy logic in a game with many parameters like an rpg? Is there a way of merging these two techniques? Are there better AI design techniques for evaluating monster's chooses?

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  • Extreme Optimization Numerical Libraries for .NET – Part 1 of n

    - by JoshReuben
    While many of my colleagues are fascinated in constructing the ultimate ViewModel or ServiceBus, I feel that this kind of plumbing code is re-invented far too many times – at some point in the near future, it will be out of the box standard infra. How many times have you been to a customer site and built a different variation of the same kind of code frameworks? How many times can you abstract Prism or reliable and discoverable WCF communication? As the bar is raised for whats bundled with the framework and more tasks become declarative, automated and configurable, Information Systems will expose a higher level of abstraction, forcing software engineers to focus on more advanced computer science and algorithmic tasks. I've spent the better half of the past decade building skills in .NET and expanding my mathematical horizons by working through the Schaums guides. In this series I am going to examine how these skillsets come together in the implementation provided by ExtremeOptimization. Download the trial version here: http://www.extremeoptimization.com/downloads.aspx Overview The library implements a set of algorithms for: linear algebra, complex numbers, numerical integration and differentiation, solving equations, optimization, random numbers, regression, ANOVA, statistical distributions, hypothesis tests. EONumLib combines three libraries in one - organized in a consistent namespace hierarchy. Mathematics Library - Extreme.Mathematics namespace Vector and Matrix Library - Extreme.Mathematics.LinearAlgebra namespace Statistics Library - Extreme.Statistics namespace System Requirements -.NET framework 4.0  Mathematics Library The classes are organized into the following namespace hierarchy: Extreme.Mathematics – common data types, exception types, and delegates. Extreme.Mathematics.Calculus - numerical integration and differentiation of functions. Extreme.Mathematics.Curves - points, lines and curves, including polynomials and Chebyshev approximations. curve fitting and interpolation. Extreme.Mathematics.Generic - generic arithmetic & linear algebra. Extreme.Mathematics.EquationSolvers - root finding algorithms. Extreme.Mathematics.LinearAlgebra - vectors , matrices , matrix decompositions, solvers for simultaneous linear equations and least squares. Extreme.Mathematics.Optimization – multi-d function optimization + linear programming. Extreme.Mathematics.SignalProcessing - one and two-dimensional discrete Fourier transforms. Extreme.Mathematics.SpecialFunctions

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  • Developing a Configurable Pricing Program

    - by Ben DeMott
    The organization I work at has some interesting requirements when it comes to pricing for online commerce. Currently the developers write different 'pricing rules' and those rules can be applied to our items based on attributes of the items. For Example: INPUTS: [cost, sug_retail, discontinued, warehouse_qty, orderable_qty, brand, type, days_available, shipping_rate, weight, map_protected, map_discount] MATCH: brand=x, warehouse_qty 1, discontinued=True, map_protected=False SET: retail_price = (sug_retail * 0.95), offer_price1 = (cost * 1.25 + shipping_rate) I am looking to allow the merchandising team to have more control over the pricing and formulas - they are afterall technical enough to write excel formulas. I've been looking at writing a desktop application that uses something like numexpr http://code.google.com/p/numexpr/ or http://sympy.org/en/index.html to allow non-programmers to integrate their own logic into our pricing backend. We have multiple price-tiers we have to set, for multiple markets, so an elegant solution is needed. It's getting frustrating for the dev team to continually tweak/manage all of the pricing rules (we sell over 200 brands in 3 markets). My question is; does this seem like a decent approach? Can you think of a better way to parse string-mathematical-grammer? Can you think of a different way for users to provide formula's to integrate into a automated pricing system? Does anyone know of any examples of existing applications that do this? Excel, and Access are out of the question - the volume of data we manipulate has already proven the need to automate it - now we just need some visibility into that automation.

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  • Cocos2d sprite's parent not reflecting true scale value

    - by Paul Renton
    I am encountering issues with determining a CCSprite's parent node's scale value. In my game I have a class that extends CCLayer and scales itself based on game triggers. Certain child sprites of this CCLayer have mathematical calculations that become inaccurate once I scale the parent CCLayer. For instance, I have a tank sprite that needs to determine its firing point within the parent node. Whenever I scale the layer and ask the layer for its scale values, they are accurate. However, when I poll the sprites contained within the layer for their parent's scale values, they always appear as one. // From within the sprite CCLOG(@"ChildSprite-> Parent's scale values are scaleX: %f, scaleY: %f", self.parent.scaleX, self.parent.scaleY); // Outputs 1.0,1.0 // From within the layer CCLOG(@"Layer-> ScaleX : %f, ScaleY: %f , SCALE: %f", self.scaleX, self.scaleY, self.scale); // Output is 0.80,0.80 Could anyone explain to me why this is the case? I don't understand why these values are different. Maybe I don't understand the inner design of Cocos2d fully. Any help is appreciated.

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  • How will my Electronic Engineering degree be received in the Canadian Game Development market? [closed]

    - by Harikawashi
    I have a Electronic Engineering with Computer Science Degree from a reputable South African university. The EE with CS degree is basically Electronic Engineering, with some of the high voltage subjects thrown out and replaced with computer science subjects - mostly quite theoretical, but not in too much depth. I went on to earn a Masters Degree in Digital Signal Processing, focussing on Speech Recognition in Educational Applications. I have always loved programming - I taught myself QBASIC when I was in primary school, I learned Java at school, did some low level C at University, and taught myself C# and Python while doing my post graduate degree. C# is currently my strong suit, I think I am pretty capable with it. I have two years work experience in Namibia - working as a consulting electrical engineer (no software content whatsoever) and also developing C# desktop applications for the company I work for. I would like to move to Canada next year and work in the Game Development Industry as programmer or software engineer. My interests in particular are towards the more mathematical applications, like game and physics engines, or statistical disciplines like artificial intelligence. However, these are passions - not areas in which I have any work experience. So the question: How well will my BEngEE&CS and MScEng be received in the game industry? Seeing as it's not a pure software degree and I have no official software development work experience?

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  • Computer science curriculum for non-CS major?

    - by Daniel
    Hi all, I would like to have some ideas for building up my foundation CS skills. I have started programming computers 10 years ago and have made a pretty good career out of it. However, I cannot stop thinking that the path that brought me here was very particular, and if something goes wrong (e.g. I get laid off) it would be harder to find a job here in the US on the same salary level, OR in a top company. The reason I say that is that I am a self-learner; my degree is not in Computer Science so although I master C/C++/Java, I do not have the formal CS and mathematical background that many other software developers (esp. here in the US) have. When I look at job interview questions from Apple, Google, Amazon, I have the impression that I'd flunk those technical interviews at some point. Don't get me wrong, I know my algorithms and data structures, but when things dive too deeply into the CS realm I am in trouble. What can I do to close the gap? I was thinking about a MSc in CS, but will I even UNDERSTAND what's going on there if I'm not a CS undergrad? Should I go back to basics and get a BSc in CS instead? I always tend to go into self-study mode when I want to learn new stuff, but I have the impression that I will need more formal education in CS if I want to have a shot at working at those kinds of companies. Thank you!

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  • Formal definition for term "pure OO language"?

    - by Yauhen Yakimovich
    I can't think of a better place among SO siblings to pose such a question. Originally I wanted to ask "Is python a pure OO language?" but considering troubles and some sort of discomfort people experience while trying to define the term I decided to start with obtaining a clear definition for the term itself. It would be rather fair to start with correspondence by Dr. Alan Kay, who has coined the term (note the inspiration in biological analogy to cells or other living objects). There are following ways to approach the task: Give a comparative analysis by listing programming languages that exhibits certain properties unique and sufficient to define the term (although Smalltalk and Java are passing examples but IMO this way seems neither really complete or nor fruitful) Give a formal definition (or close to it, e.g. in more academic or mathematical style). Give a philosophical definition that would totally rely on semantical context of concrete language or a priori programming experience (there must be some chance of successful explanation by the community). My current version: "If a certain programing (formal) language that can (grammatically) differentiate between operations and operands as well as infer about the type of each operand whether this type is an object (in sense of OOP) or not then we call such a language an OO-language as long as there is at least one type in this language which is an object. Finally, if all types of the language are also objects we define such language to be pure OO-language." Would appreciate any possible improvement of it. As you can see I just made the definition dependent on the term "object" (often fully referenced as class of objects).

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  • Would it be a good idea to work on letting people add arrays of numbers in javascript?

    - by OneThreeSeven
    I am a very mathematically oriented programmer, and I happen to be doing a lot of java script these days. I am really disappointed in the math aspects of javascript: the Math object is almost a joke because it has so few methods you can't use ^ for exponentiation the + operator is very limited, you cant add array's of numbers or do scalar multiplication on arrays Now I have written some pretty basic extensions to the Math object and have considered writing a library of advanced Math features, amazingly there doesn't seem to be any sort of standard library already out even for calculus, although there is one for vectors and matricies I was able find. The notation for working with vectors and matricies is really bad when you can't use the + operator on arrays, and you cant do scalar multiplication. For example, here is a hideous expression for subtracting two vectors, A - B: Math.vectorAddition(A,Math.scalarMultiplication(-1,B)); I have been looking for some kind of open-source project to contribute to for awhile, and even though my C++ is a bit rusty I would very much like to get into the code for V8 engine and extend the + operator to work on arrays, to get scalar multiplication to work, and possibly to get the ^ operator to work for exponentiation. These things would greatly enhance the utility of any mathematical javascript framework. I really don't know how to get involved in something like the V8 engine other than download the code and start working on it. Of course I'm afraid that since V8 is chrome specific, that without browser cross-compatibility a fundamental change of this type is likely to be rejected for V8. I was hoping someone could either tell me why this is a bad idea, or else give me some pointers about how to proceed at this point to get some kind of approval to add these features. Thanks!

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  • OS X is based on the codex Gigas the devils bible: Android OS n 4.4 Dio Ra Egyptian deity why is that?

    - by user215250
    GUESS WHO? The Internet and all computers are based on a mathematical number system that seems to be 3, 4, 6, 8 and 10. The HTTP is 888P and UTF-8 and Windows 8 and 8 gigas of RAM(88) on a 64biTOS X-10 or Aten(satan) why is it allowed to be so evil and who all knows about it? Is this activity illegal and should I sew these companies for being involved in satanic practices? iC3 iC3 iC3 I do see XP (X) Chi and (P) Rho a monogram and symbol for Christ, consisting of the superimposed Greek letters. The X is ten, The X code, OS X(O Satan) and codex The Gigas the Devil bible and the P is Payne, The House of Payne in which God dwells. Windows 8, Google Android and Apples OS X are the foundation on which we operarte on the Internet and our Mobiles devices. What is it that these 3 companies have chosen to base their OS’s on such evil? Windows 8 is windows hate H8, HH and H8. Said to be the Devil. Google’s (UGLE) M the Masonic M behind Android OS.in 4.4 is Dio (R) DNA O Sin and 44 is the Devils name in Twain’s The Mysterious Stranger. Apple’s evil (i) OS X (ou-es-ten) O Satan them all beat (B8) considering Apple put their first product on the market for $666.66. The Holy Grail of computers they say. Your Excellency, Lord and King OS2 Eisus Uni Peg Unix: The Unicorn Pegasus Jesus Christ

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