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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…

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• How to prevent latex memory overflow

  - by drasto

  I've got a latex macro that makes small pictures. In that picture I need to draw area. Borders of that area are quadratic bezier curves and that area is to be filled. I did not know how to do it so currently I'm "filling" the area by drawing a plenty of bezier curves inside it... This slows down typeseting and when a macro is used multiple times…

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• Matlab-Bisection-Newton-Secant , finding roots?

  - by i z

  Hello and thanks in advance for your possible help ! Here's my problem: I have 2 functions f1(x)=14.*x*exp(x-2)-12.*exp(x-2)-7.*x.^3+20.*x.^2-26.*x+12 f2(x)=54.*x.^6+45.*x.^5-102.*x.^4-69.*x.^3+35.*x.^2+16.*x-4 Make the graph for those 2, the first one in [0,3] and the 2nd one in [-2,2]. Find the 3 roots with accuracy of 6 decimal digits…

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• How do I make matlab legends match the colour of the graphs?

  - by Alex Gosselin

  Here is the code I used: x = linspace(0,2); e = exp(1); lin = e; quad = e-e.*x.*x/2; cub = e-e.*x.*x/2; quart = e-e.*x.*x/2+e.*x.*x.*x.*x/24; act = e.^cos(x); mplot = plot(x,act,x,lin,x,quad,x,cub,x,quart); legend('actual','linear','quadratic','cubic','quartic') This produces a legend matching the right colors to actual and linear, then…

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• Transform shape built of contour splines to simple polygons

  - by Cheery

  I've dumped glyphs from truetype file so I can play with them. They have shape contours that consist from quadratic bezier curves and lines. I want to output triangles for such shapes so I can visualize them for the user. Traditionally I might use libfreetype or scan-rasterise this kind of contours. But I want to produce extruded 3D meshes…

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• gnuplot: display only the roots.

  Hi, Gnuplot, a great package ... I'm in love with it. But we can have our tiffs as well, as any couple :-) This time, I wanted to simply plot the roots of an equation: say a quadratic to keep things simple. However, I only want two nice round dots appearing on the x-axis representing the point where the quadratic crosses the x-axis or y=0…

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• Creating zoom-pan video from a picture in Linux

  - by Pavel

  I would like to make a six second video using six images. Each second is sliding over one image from its top to its botom. Or some other motion effect – I would like to try several. I tried kdenlive Imagination Videoporama PhotoFilmStrip The first one has not enough settings (don't remember what exactly) and all those have rather…

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• A Taxonomy of Numerical Methods v1

  - by JoshReuben

  Numerical Analysis – When, What, (but not how) Once you understand the Math & know C++, Numerical Methods are basically blocks of iterative & conditional math code. I found the real trick was seeing the forest for the trees – knowing which method to use for which situation. Its pretty easy to get lost in the details – so I’ve…

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• What light attenuation function does UDK use?

  - by ananamas

  I'm a big fan of the light attenuation in UDK. Traditionally I've always used the constant-linear-quadratic falloff function to control how "soft" the falloff is, which gives three values to play with. In UDK you can get similar results, but you only need to tweak one value: FalloffExponent. I'm interested in what the actual…

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• Phone complains that identical GLSL struct definition differs in vert/frag programs

  - by stephelton

  When I provide the following struct definition in linked frag and vert shaders, my phone (Samsung Vibrant / Android 2.2) complains that the definition differs. struct Light { mediump vec3 _position; lowp vec4 _ambient; lowp vec4 _diffuse; lowp vec4 _specular; bool _isDirectional; mediump vec3…

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• online graphs of common tween / easing functions?

  - by jedierikb

  Is there an online cheat-sheet to graphs of common tween / easing functions? I want a bookmark I can refer to when picking a function for a tween (e.g., Quintic, Quadratic, "Bounce"). The only one I can do in my head easily is linear.

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• An extended Bezier Library or Algorithms of bezier operations

  - by Sorush Rabiee

  Hi, Is there a library of data structures and operations for quadratic bezier curves? I need to implement: bezier to bitmap converting with arbitrary quality optimizing bezier curves common operations like subtraction, extraction, rendering etc. languages: c,c++,.net,python Algorithms without implementation…

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• Ideas for a C/C++ library

  - by Mohit Deshpande

  I thought one of the best ways to familiarise myself with C/C++, is to make a helpful library. I was maybe thinking like a geometry library, like to calculate areas, surface area, etc. It would be useful in game programming. Or maybe an algebra library, like for different formulas like the distance formula,…

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• An algorithm to find bounding box of closed bezier curves?

  - by Sorush Rabiee

  I'm looking for an algorithm to find bounding box (max/min points) of a closed quadratic bezier curve in Cartesian axis: input: C (a closed bezier curve) output: A B C D points

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• How would someone implement mathematical formulae in java?

  - by Mohit Deshpande

  What I mean is like have to user input a string with multiple variables and get the value of those variable. Like a simple quadratic formula: x^2 + 5x + 10. Or in java: (Math.pow(x,2)) + (x * 5) + 10The user would then enter that and then the program would solve for x. I will be using the BeanShell…

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• How would someone go about implemention mathematical formulas in java?

  - by Mohit Deshpande

  What I mean is like have to user input a string with multiple variables and get the value of those variable. Like a simple quadratic formula: x^2 + 5x + 10. The user would then enter that and then the program would solve for x. I will be using the BeanShell Interpreter class to interpret the string…

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• Figuring out QuadCurveTo's parameters

  - by Fev

  Could you guys help me figuring out QuadCurveTo's 4 parameters , I tried to find information on http://docs.oracle.com/javafx/2/api/javafx/scene/shape/QuadCurveTo.html, but it's hard for me to understand without picture , I search on google about 'Quadratic Bezier' but it shows me more than 2…

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• Is there a shorthand term for O(n log n)?

  - by jemfinch

  We usually have a single-word shorthand for most complexities we encounter in algorithmic analysis: O(1) == "constant" O(log n) == "logarithmic" O(n) == "linear" O(n^2) == "quadratic" O(n^3) == "cubic" O(2^n) == "exponential" We encounter algorithms with O(n log n) complexity with some…

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• Why does the heat production increase as the clockrate of a CPU increases?

  - by Nils

  This is probably a bit off-topic, but the whole multi-core debate got me thinking. It's much easier to produce two cores (in one package) then speeding up one core by a factor of two. Why exactly is this? I googled a bit, but found mostly very imprecise answers from over clocking boards…

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• How to implement curved movement while tracking the appropriate angle?

  - by Vexille

  I'm currently coding a 2D top-down car game which will be turn-based. And since it's turn-based, the cars won't be controlled directly (i.e. with a simple velocity vector that adjusts its angle when the player wants to turn), but instead it's movement path has to be planned beforehand,…

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• Recommended method for XML level loading in XNA

  - by David Saltares Márquez

  I want to use Blender as my level designer tool for an XNA game. Using an existing plugin, I can export my levels to DotScene format which is basically an xml file like this one: <scene formatVersion="1.0.0"> <nodes> <node name="scene-staircase.001"> …

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• Extreme Optimization – Curves (Function Mapping) Part 1

  - by JoshReuben

  Overview ·        a curve is a functional map relationship between two factors (i.e. a function - However, the word function is a reserved word). ·        You can use the EO API to create common types of…

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• How can I use iteration to lead targets?

  - by e100

  In my 2D game, I have stationary AI turrets firing constant speed bullets at moving targets. So far I have used a quadratic solver technique to calculate where the turret should aim in advance of the target, which works well (see Algorithm to shoot at a target in a 3d…

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• Handling early/late/dropped packets for interpolation in a 3D multiplayer game

  - by Ben Cracknell

  I'm working on a multiplayer game that for the purposes of this question, is most similar to Team Fortress. Each network data packet will contain the 3D position of the target moving object. (this object could be another player) The packets are sent on a fixed…

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• Tail-recursive implementation of take-while

  - by Giorgio

  I am trying to write a tail-recursive implementation of the function take-while in Scheme (but this exercise can be done in another language as well). My first attempt was (define (take-while p xs) (if (or (null? xs) (not (p (car xs)))) '() …

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