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I've stumbled on this algorithm recently and am having difficulty explaining it to myself. The algorithm solves the assignment problem in O(n4) (and apparently can be improved to O(n3)) but I can't see why. Intuitively I can see that the algorithm would tend to find good to optimal solutions but I can't see a proof! Al...
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One of my interests in AI focuses not so much on data but more on biologic computing. This includes neural networks, mapping the brain, cellular-automata, virtual life and environments. Described below is an exciting project that includes develop a virtual environment for bots to evolve in. "Polyworld is a cross-pla...
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Does anybody know of an English verb inflector that I can use on a lexicon of verbs (in present-participle) that can give me other inflected forms of the verbs? For example: I give it I get ========= ====================================== run ran, running, runs sing sang, singing, sings play ...
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how do news outlets like google news automatically classify and rank documents about emerging topics, like "obama's 2011 budget"? i've got a pile of articles tagged with baseball data like player names and relevance to the article (thanks, opencalais), and would love to create a google news-style interface that ranks a...
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Say I have an algorithm which operates on an input of size n and I know that the time it takes for n is twice the time it takes for n-1. I can observe in this simple case (assuming it takes, say, 1 second for n = 0) that the algorithm takes 2n seconds. Is there a general method for converting between recursively-defin...
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I'm looking at the standard definition of the assignment problem as defined here My question is to do with the two constraints (latex notation follows): \sum_{j=1}^n(x_{ij}) = 1 for all i = 1, ... , n \sum_{i=1}^n(x_{ij}) = 1 for all j = 1, ... , n Specifically, why the second constraint required? Doesn't the first al...
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Let me know if this is mathoverflow material, and I'll wend my way over there. I'm hoping someone will recognise this and point me in the right direction... I'm trying to map out related nodes. I've figured out how to calculate the minimum distances between all the points, and now I need to know how to turn those into ...
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There are two views: viewA and viewB. Both are rotated. The coordinate system for rotation is weird: It goes from 0 to 179,999999 or -179,99999 degrees. So essentially 179,99999 and -179,99999 are very close together! I want to calculate how much degrees or radians are between these rotations. For example: viewA is ro...
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I have a function that will take a range of values, which need to be normalized to the range [-1, 1]. MathHelper.Clamp() just takes values that are outside the range and sets them to be whichever bound it exceeds. Does XNA or C# have anything that does what I'm looking for? (I'm looking through the documentation but ca...
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Matrices and Euler angles can suffer from Gimbal lock but what are some other arguments for using one over the other? What do you think DirectX favors? What do you use in daily C++/C/DirectX programming?
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I'm playing with writing a MUD/text adventure (please don't laugh) in Ruby. Can anyone give me any pointers towards an elegant, oop-based solution to parsing input text? We're talking about nothing more complex than "put wand on table", here. But everything needs to be soft; I want to extend the command set painl...
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How can I calculate a fixed payment amount for a loan term that has two different interest rates based on how long the loan has been open?
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For large n (see below for how to determine what's large enough), it's safe to treat, by the central limit theorem, the distribution of the sample mean as normal (gaussian) but I'd like a procedure that gives a confidence interval for any n. The way to do that is to use a Student T distribution with n-1 degrees of fre...
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I've been doing some research for a mathematical Android related project I'd like to embark upon and I stumbled across for the first time MathML. Does anyone know of any Java libraries which can do any (preferably all) of the following things? Parse MathML Output MathML by parsing standard mathematical notation Rende...
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Possible Duplicate: how to perform bitwise operation on floating point numbers Hello, everyone! Background: I know that it is possible to apply bitwise operation on graphics (for example XOR). I also know, that in graphic programs, graphic data is often stored in floating point data types (to be able for example to ...
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I want to display in a HTML page some datas with errors, for example: (value, error) -> string (123, 12) -> (12 +- 1) x 10^1 (4234.3, 2) -> (4234 +- 2) (0.02312, 0.003) -> (23 +- 3) x 10^-3 I've produced this: from math import log10 def format_value_error(value,error): E = int(log10(abs(error))) val = float(...
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I know the coordinates of A, B and C.. I also know of a vector V originating from C.. I know that the vector intersects A and B, I just don't know how to find i. Can anyone explain the steps involved in solving this problem? Thanks alot. http://img34.imageshack.us/img34/941/triangleprob.png
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I was wondering if you creative minds out there could think of some situations or applications in the web environment where Neural Networks would be suitable or an interesting spin. Edit: Some great ideas here. I was thinking more web centric. Maybe bot detectors or AI in games.
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I'm looking for a pure Python module that implements a matrix class where the underlying matrix operations are computed in modulo 2 arithmetic as in (x+y)%2 I need to do a lot of basic matrix manipulations ( transpose, multiplication, etc. ). Any help appreciated. Thanks in advance
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In MATLAB I have calculated the Fundamental matrix (of two images) using the normalized Eight point algorithm. From that I need to triangulate the corresponding image points in 3D space. From what I understand, to do this I would need the rotation and translation of the image's cameras. The easiest way of course would ...
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I have a variable that is... $whatever = "5865/100"; This is a text variable. I want it to calculate 5865/100 , so that I can add it to other numbers and do a calculation. Number_format doesn't work, as it just returns "5,865". Whereas I want it to return 58.65 I could do... $explode=explode("/",$whatever); if(count($e...
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I'm trying to build a calculator in Flex / actionscript 3 but have some weird results using the class Math : trace(1.4 - .4); //should be 1 but it is 0.9999999999999999 trace(1.5 - .5); //should be 1 and it is 1 trace(1.444 - .444); //should be 1 and it is 1 trace(1.555 - .555); //should be 1 but it is 0.99999999999999...
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I'd like to have a simple & lightweight library/application in PHP/Python/C/C++ library/application to match/correct/give suggestions to input. Example in/out: Input: Webdevelopment ==> Output: Web Development Input: Web developmen ==> Output: Web Development Input: Web develop ==> Output: Web Development Given th...
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For an assignment I have to make a multi-agent system (very open ended, but a short project), something like predator/prey or traffic simulation? It will be written in Jason/Agent speak. I am at a loss for ideas as to what to actually implement (what is feasible?), as it can be anything, the more bizarre the better!
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I can't find a good reference about color-modifying functions (such as contrast, brightness, gamma, ...). (Is there a more exact term for what I mean?) Would appreciate a tutorial with example pictures and implementation algorithms. Thank you! EDIT: Platform and language is not so important. I'm interested in pure math...
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Why this class uses 48 bit seed in its linear congruence formula? I would have expected 32 or 64... I know it takes higher order bits when asked for 32 bit values. But why only 16 more additional bits? Was it a "random" choice?
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Prob Statement: 'N' equal radii circles are plotted on a graph from (-)infinity to (+)infinity.Find the total area of intersection I.e all the area on the graph which is covered by two or more circles.
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Alright, I've cooked up some code to reverse hex characters around as part of a fun exercise I made up. Here is what I have at the moment: #include <stdio.h> int main() { char a,b,c; while (1) { c = getchar(); if (!feof(stdin)) { a = c % 16; b = (c - a) / 16...
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I was learning about using the command line version of latex today, and I was experimenting with outputting .tex to .dvi, and then .dvi to .png. The problem is, I have a simple .tex document which contains some math. The goal is to eventually produce a png form of the equation. But when I run: $ latex -output-format=dv...
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I have a degree in computer science and I have taken the following math courses. Calculus I Calculus II Discrete Mathematics and Number Theory Linear Algebra Probability Logic Automata Theory What other courses should I take in order to prepare for studying wavelets, with a focus of implementing wavelet transforms? E...
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I'm working on a game where on each update of the game loop, the AI is run. During this update, I have the chance to turn the AI-controlled entity and/or make it accelerate in the direction it is facing. I want it to reach a final location (within reasonable range) and at that location have a specific velocity and dire...
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Given 2N-points in a 2D-plane, you have to group them into N pairs such that the overall sum of distances between the points of all of the pairs is the minimum possible value.The desired output is only the sum. In other words, if a1,a2,..an are the distances between points of first, second...and nth pair respectively,...
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Can somebody provide me with an easy to understand explanation of a guarded equation as it is used in Haskell and also its mathematical sense?
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It is possible because PageRank was a form of eigenvalue and that is why MapReduce introduced. But there seems problems in actual implementation, such as every slave computer have to maintain a copy of the matrix?
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Does every function has to be inside a type like in C#? Or does F# has free functions? Also what about functions I have seen all over some F# code like, cos, sin, etc. Are they calls to Math.Cos, Math.Sin? Also why did they provide cos, sin, etc like that instead of Math.Cos, Math.Sin?
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Does F# have the same problem as C# where you can't directly use arithmetic operators with generic T types? Can you write a generic Sum function that would return the sum of any value that supports the arithmetic addition?
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I'm creating an MySQL call using PHP, I'm calculating distance using the haversine forumula: SELECT name, id, (6371 * acos(cos(radians(' . $lat . ')) * cos(radians(geoname.latitude)) * cos(radians(geoname.longitude) - radians(' . $lon . ')) + sin(radians(' . $lat . ')) * sin(radians(geoname.latitude)...
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Hello I would like to know how to implement the solution to such a task: There's a 500Mb file of plain English texts. I'd like to collect the statistics about the frequency of words, but additionally to be sure that each word is recognized correctly (or the majority of words). In terms that 'cry' in the sentence "she g...
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What's a good way to determine the following. You have a table of game players, in an array of size N. Each round, each player takes a turn. You know the index of the player that should go first, and each player will take a turn ascending the array, and looping back to 0 when it hits the last index. For example, if pla...
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Given 2 java AffineTransform items, how can I interpolate between them. I need the image on screen to slowly move from the position/rotation/scale with one matrix applied, to the other. Preferably this should be reasonably efficient since it's running every time a game draws. My current (really hacky) solution is to ge...
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Will adding 6 random unique numbers in the range 0-32 and doing a modulus on the result favour a high number? Example: 9 +10 +11 +18 +25 +28 +32 = 133 % 20 = 13
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I am using Python 3.1, but I can downgrade if needed. I have an ASCII file containing a short story written in one of the languages the alphabet of which can be represented with upper and or lower ASCII. I wish to: 1) Detect an encoding to the best of my abilities, get some sort of confidence metric (would vary dependi...
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What are books about how to build a natural language parsing program like this: input: I got to TALL you output: I got to TELL you input: Big RAT box output: Big RED box in: hoo un thum zend three out: one thousand three It must have the language model that allows to predict what words are misspelled ! What are th...
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I want to increase a decimal's smallest fractional part with one so that for example decimal d = 0.01 d++ d == 0.02 or decimal d = 0.000012349 d++ d == 0.000012350 How do i do this?
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I have a series of timestamped on/off data in a table, representing on/off states, or the point at which a state "starts" 00:00:00 0 04:00:00 1 08:00:00 0 09:00:00 1 15:00:00 0 20:00:00 1 23:59:59 0 I need to calculate the total duration of (say) the ON state over a 24h period. In this simplified ...
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How would one go about implementing least squares regression for factor analysis in C/C++?
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i've got a problem with the sampling theorem Sampling theorem states that a signal can be reconstructed exactly from it's samples if the original signal has no frequencies above half the sampling frequency. But what about frequencies exactly half the sampling frequency?? let's say i sample a sine (with an arbitrary pha...
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I ask because a lot of game programming and graphic design seems to use the z-axis a lot. I didn't know what kind of math uses it so I could understand it and its relation to programming graphics applications. I don't remember seeing it - all the way up to calc 2.
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I am currently dabbling in expert systems, emacs lisp, and reading up about artificial intelligence. Traditionally, artificial intelligence is associated with LISP and expert systems with CLIPS. However, I have noticed in computational sciences how much Python is being used. What about the area of artificial intelli...
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Assume I do this operation: (X / const) * const with double-precision arguments as defined by IEEE 754-2008, division first, then multiplication. const is in the range 0 < ABS(const) < 1. Assuming that the operation succeeds (no overflows occur), are distinct arguments of X to this operation guaranteed to return disti...
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I'm creating an application in C# 3.5 that uses the AutoCAD API to read a 2D AutoCAD drawing, make changes to the drawing using defined business logic, then adjust it back in AutoCAD. Due to the nature of the logic, the shape of the drawing has to be re-constructed - e.g. a rectangle is made up of 4 connecting straigh...
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I have a unit in a game which is pointing in a particular direction; when it turns to another direction it should take the shortest turn available. The scheme starts at a particular angle, and requires a given angle to lerp (linear interpolate) towards. For example, lerping from 10 degrees to 350 degrees should calcula...
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I'm trying to get my simulation to stop on a specific point. I have my starting position, an ending position, my current velocity and the time I'd like to take to get there. Since: d = vt + (at^2)/2 I was figuring that d = (end - start) a = 2(d - vt) / t^2 but my end point is way off when I run it. I've tried using t...
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I would like to develop a poker odds application that can give the probability of various game situations. Since the application will be mostly statistical analysis, I figured I would see if someone else had already written a library that implements the required mathematics. I would prefer cross-platform open-source in...
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Unmanaged languages notwithstanding, is F# really better than C# for implementing math? And if that's the case, why?
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Is there a natural language web application framework? Maybe something like http://inform7.com ? Maybe something like: Make a website called My_homepage at my_homepage.com The homepage for My_homepage is called mainpage mainpage has a title of 'Home' mainpage has text at the top saying 'My homepage'
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How should I approach a situtation when I try to apply some ML algorithm (classification, to be more specific, SVM in particular) over some high dimensional input, and the results I get are not quite satisfactory? 1, 2 or 3 dimensional data can be visualized, along with the algorithm's results, so you can get the hang ...
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What I am hoping to achieve is the ability to generate 'teams' of users. I will have x amount of men, weighted (decimal skill weight, like 75.23) and y amount of women (also with a skill weight value). Given that list of users, I would then take for input the number of teams to make (let us say, 6 teams). Then, I go ...
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I tried to solve problem# 276 from Project Euler, but without success so far. Consider the triangles with integer sides a, b and c with a ≤ b ≤ c. An integer sided triangle (a,b,c) is called primitive if gcd(a,b,c)=1. How many primitive integer sided triangles exist with a perimeter not exceeding 10 000 00...
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Does anyone know how to minimize a function containing an integral in MATLAB? The function looks like this: L = Int(t=0,t=T)[(AR-x)dt], A is a system parameter and R and x are related through: dR/dt = axRY - bR, where a and b are constants. dY/dt = -xRY I read somewhere that I can use fminbnd and quad in combinati...
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Does anyone know of a project that uses some sort of interpreted runtime, to perhaps, as an example will take a before and after text file and generate and run a program in its-self to produce the after result. So it combines a bit of lexing, fuzzy logic, NN, backtracking, genetic programing, software FPGA. I am intere...
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I'm developing a Genetic Algorithm in python were chromosomes are composed of strings and integers. To apply the genetic operations, I want to convert these groups of integers and strings into bit strings. For example, if one chromosome is: ["Hello", 4, "anotherString"] I'd like it to become something like: 0100100100...
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I have a triangulated isometric grid, like this: (source: mathforum.org) In my code, triangles are grouped by columns. As I hover the mouse, I want to calculate what triangle the mouse coordinates are in. Is there a simple algorithm to do that?
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First of all,thanks for reading my question. I used TF/IDF then on those values, I calculated cosine similarity to see how many documents are more similar. You can see the following matrix. Column names are like doc1, doc2, doc3 and rows names are same like doc1, doc2, doc3 etc. With the help of following matrix, I ca...
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In trying to solve a particular Project Euler question, I ran into difficulties with a particular mathematical formula. According to this web page (http://www.mathpages.com/home/kmath093.htm), the formula for determining the probability for rolling a sum, T, on a number of dice, n, each with number of sides, s, each n...
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I am writing a code in C++ and want to compute distance between two points. Question 1: I have two points P(x1, y1, z1) and Q(x2, y2, z2) , where x, y and z are floats/doubles. I want to find the distance between these two points. One way to do it is : square_root(x_diffx_diff + y_diffy_diff + z_diff*z_diff) But t...
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What are the number of combinations in which 8 persons taking part in a single elimination tornament play? Total no of matches played would be 7 but I also need the number of combinations that can for this set
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$value = '100.00'; echo $value * 100/100; Or should I be rounding incase there's a value such as '100.70'? I'm displaying this for a table that displays daily rates, the total value contains the digits so I assume the user won't have to really worry about decimal values...
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I've been studying algorithms about collective intelligence, for things such as recommendation engines, neural networks etc., and was looking for freely available datasets and/or APIs for practice projects. any suggestions? EDIT: my original question was kind of vague, so here are some examples of the types of things I...
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I want to be able to make image move realistically with the accelerometer controlling it, like any labyrinth game. Below shows what I have so far but it seems very jittery and isnt realistic at all. The ball images seems to never be able to stop and does lots of jittery movements around everywhere. - (void)acceleromete...
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Consider the following scenario: We have a number of sequential building blocks (e.g. 12 building blocks, ordered from 1 to 12), distributed randomly (but not necessarily equally) on a number of builders (e.g. 3 builders). The builders are required to work in order and start building the wall from block number 4, both...
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I'm starting neural networks, currently following mostly D. Kriesel's tutorial. Right off the beginning it introduces at least three (different?) learning rules (Hebbian, delta rule, backpropagation) concerning supervised learning. I might be missing something, but if the goal is merely to minimize the error, why not j...
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F# allows to use checked arithmetics by opening Checked module, which redefines standard operators to be checked operators, for example: open Checked let x = 1 + System.Int32.MaxValue // overflow will result arithmetic overflow exception. But what if I want to use checked arithmetics in some small scope, like C# allow...
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I need an AI Bot for a chat service which can imitate a human. I have tried ALICE with AIMLBot(C#) as a front-end but it didn't work very well. Are there any good bots you would recommend?
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I am trying to play tic tac toe using iterative Alpha-Beta prunning, I have one second limit for a move but for some reason it doesnt work well. I modified the regular alpha-beta code so instead of returning alpha or beta, it returns a state (which is the board with the next move) Each time I create children I update t...
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I don't know if I've chosen the appropriate title for this question (if not, please change it accordingly) but consider the following simplified table structure I'm working with: ---------------------------------------------- | date | i | j | k | x | y | z | ---------------------------------------------- ...
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I am now using libsvm for support vector machine classifier with Gaussian kernal. In its website, it provides a python script grid.py to select the best C and gamma. I just wonder how training time and overfitting/underfitting change with gamma and C? Is it correct that: suppose C changes from 0 to +infinity, the train...
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Is there already a python package allowing to graphically edit the graph of a function?
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Which approach would you suggest for automatically classifying type found in images? The samples are likely large, with black text on a white background. The categories are defined here, with some examples on each (Google Books link): http://bit.ly/9Mnu7P This is an extended version of the VOX-ATypI classification syst...
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A friend of mine asked for a simple program. Input: Coordinates of some points, spheres, planes etc. ( from an excel document (strictly) ) Output: A 3D view of the input which the user can move the camera. The questions is, how can I do that easiest way. I have experience in C++, C#, Flash (AS), Java
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I'm using rectangles defined in terms of their x y coordinates and their width and height. I figured out how to rotate them in terms of coordinates (x = cos(deg) * x - sin(deg) * y y = sin(deg) * x + cos(deg) * y) but I'm stuck on the height and width. I'm sure there's an obvious solution that I'm missing. If it matter...
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I want to decrease a value by one and if it reaches zero, set it to the maximum value. Is there a way to do this via math without resorting to if (n-1 == 0) { n = max; } The opposite scenario of increasing a value by one and then setting it to zero when it is greater than max can easily be achieved using n = (n + 1) % ...
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I have two NSArrays of Movie objects called DVD and VHS. I'd like to find the symmetric difference of these arrays. I want to know which Movies are in VHS buy not in DVD, and which Movies are in DVD but not VHS. Can anyone tell me if there is a fast algorithm to solve it (preferably in C or Objective-C)? Is it faster/...
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Possible Duplicate: convert integer to a string in a given numeric base in python I want to work with base 5 numbers, or any other non standard base for that matter. I found out int('123', 5) works, but I need to go the other way around. Should I write my own number class to accomplish this? Maybe I'm just thinking...
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I have a hindi script file like this: 3. भारत का इतिहास काफी समृद्ध एवं विस्तृत है। I have to write a program which adds a position to each and every word in each sentence. Thus the numbering for every line for a particular word position should start off with 1 in parentheses. The output should be something like this...
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The following python code is to traverse a 2D grid of (c, g) in some special order, which is stored in "jobs" and "job_queue". But I am not sure which kind of order it is after trying to understand the code. Is someone able to tell about the order and give some explanation for the purpose of each function? Thanks and r...
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I'm trying to build an app to detect images which are advertisements from the webpages. Once I detect those I`ll not be allowing those to be displayed on the client side. From the help that I got on this Stackoverflow question, I thought SVM is the best approach to my aim. So, I have coded SVM and an SMO myself. The da...
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i'm try for log10 calculation using mathml in xml as follow <apply><log><cn>x</cn></log></apply> for this i'm getting expected result, but now trying for antilog which is inverse of log, i'm not sure which tag have to be use, any i'm trying as follow <apply><inverse><log><cn>x</cn></log></inverse></apply> here i'm ...
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I asked a question earlier about how to deal with rounding issues with floating point numbers in PHP, and was pointed to the bc and gmp libraries. I've looked at the functions in these libraries but nothing jumped out at me when I was looking for one to round off the number. How do you accurately round using these libr...
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I have a file with a sequence of event timestamps corresponding to the times at which someone visits a website: 02.02.2010 09:00:00 02.02.2010 09:00:00 02.02.2010 09:00:00 02.02.2010 09:00:01 02.02.2010 09:00:03 02.02.2010 09:00:05 02.02.2010 09:00:06 02.02.2010 09:00:06 02.02.2010 09:00:09 02.02.2010 09:00:11 02.02.20...
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I've been trying to learn Text mining and other related things in Collective Intelligence field. I am interested to make an app which will scan thru the document and show related posts/articles on page. What algorithm(s) would be helpful to retrieve required info? Thanks /A
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I've made a lot of random math programs to help me with my homework (synthetic division being the most fun) and now I'm wanting to reverse a radical expression. For instance, in my handy TI calculator I get .2360679775 Well, I want to convert that number to it's equivalent irrational expression, which is sqrt(5)-2 I...
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I am trying to find information (and hopefully c# source code) about trying to create a basic AI tool that can understand english words, grammar and context. The Idea is to train the AI by using as many written documents as possible and then based on these documents, for the AI to create its own creative writitng in pr...
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I have a a mesh, with certain types of elements (e.g. triangular, tetra). For each element I know all its vertices i.e. a triangular 2D element will have 3 vertices v1, v2 and v3 whose x,y,z coords are known. Question 1 I am looking for an algorithm that will return all the edges... in this case: edge(v1, v2), edge(v1...
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I have information on paths I would like to draw. The information consists of a sequence of straight sections and curves. For straight sections, I have only the length. For curves, I have the radius, direction and angle. Basically, I have a turtle that can move straight or move in a circular arc from the current positi...
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Hi:) I am not able to figure out what the error in the program is could you please help me out with it. Thank you..:) The input file contains the following: 3. भारत का इतिहास काफी समृद्ध एवं विस्तृत है। 57. जैसे आज के झारखंड प्रदेश से, उन दिनों, बहुत से लोग चाय बागानों में मजदूरी करने के उद्देश्य से असम आए। ( its bas...
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I have a code which appends word positions to the words from the source file but the output is not coming as desired: The input file contains the following: 3. भारत का इतिहास काफी समृद्ध एवं विस्तृत है। 57. जैसे आज के झारखंड प्रदेश से, उन दिनों, बहुत से लोग चाय बागानों में मजदूरी करने के उद्देश्य से असम आए। The origi...
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I'm implementing the scrolling behaviour of a touch screen UI but I'm too tired in the moment to wrap my mind around some supposedly trivial piece of math: y (distance/velocity) |******** | ****** | **** | *** | *** | ** | ...
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I'm looking for a good open source POS Tagger in Java. Here's what I have come up with so far. LingPipe Stanford LBJ FastTag Anybody got any recommendations?
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I have a little problem. I've recently created an algorithm to allow thick lines to be drawed onscreen (as a quad structure), the problem is that when the line is very long and diagonal the aliasing is very high, making the line look very bad. What are my chance to reduce the aliasing while trying to have high performa...
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