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Search found 218 results on 9 pages for 'equations'.

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  • Kepler orbit : get position on the orbit over time

    - by Artefact2
    I'm developing a space-simulation related game, and I am having some trouble implementing the movement of binary stars, like this: The two stars orbit their centroid, and their trajectories are ellipses. I basically know how to determine the angular velocity at any position, but not the angular velocity over time. So, for a given angle, I can very easily compute the stars position (cf. http://en.wikipedia.org/wiki/Orbit_equation). I'd want to get the stars position over time. The parametric equations of the ellipse works but doesn't give the correct speed : { X(t) = a×cos(t) ; Y(t) = b×sin(t) }. Is it possible, and how can it be done?

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  • Circular motion on low powered hardware

    - by Akroy
    I was thinking about platforms and enemies moving in circles in old 2D games, and I was wondering how that was done. I understand parametric equations, and it's trivial to use sin and cos to do it, but could an NES or SNES make real time trig calls? I admit heavy ignorance, but I thought those were expensive operations. Is there some clever way to calculate that motion more cheaply? I've been working on deriving an algorithm from trig sum identities that would only use precalculated trig, but that seems convoluted.

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  • Would a professional, self taught programmer benefit from reading an algorithms book?

    - by user65483
    I'm a 100% self taught, professional programmer (I've worked at a few web startups and made a few independent games). I've read quite a few of the "essential" books (Clean Code, The Pragmatic Programmer, Code Complete, SICP, K&R). I'm considering reading Introduction to Algorithms. I've asked a few colleagues if reading it will improve my programming skills, and I got very mixed answers. A few said yes, a few said no, and a one said "only if you spend a lot of time implementing these algorithms" (I don't). So, I figured I'd ask Stack Exchange. Is it worth the time to read about algorithms if you're a professional programmer who seldom needs to use complex algorithms? For what it's worth, I have a strong mathematical background (have a 2 year degree in Mathematics; took Linear Algebra, Differential Equations, Calc I-III).

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  • How can I simulate objects floating on water without a physics engine?

    - by user1075940
    In my game the water movement is done in a shader using Gerstner equations. The water movement looks realistic enough for a school project but I encounter serious problem when I wanted to do sailing on waves (similar to this). I managed to do collision with land by calculating quad's vertices and normals beneath ship, however same method can not be applied to water because XZ are displaced and Y is calculated in a shader :( How to approach this problem ? Is it possible to retrieve transformed grid from shader? Unfortunately no external physics libraries can be used.

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  • How do I find the closest points(thereby forming a polygon) enclosing a particular point?(see image)

    - by nilspin
    I am working with a game engine, and my task is to add code for simulating fracture of rigid meshes. Right now I'm only working on breaking a cube. I am using Voronoi's algorithm to make a (realistic)fractured shard and I am using the half-plane method to generate a voronoi cell. Now the way I do this is for every seed point, I make planes that are perpendicular bisector planes(the straight black lines in the image) with rest of the seed points and I calculate the intersections of all these planes to give me distinct points(all the orange dots). I've gotten this far. Out of all these calculated intersection points, I only need the ones that are closest and enclosing the seed point(the points encircled in red) and I need to discard all the rest. Information that I have : 1) Plane equations of all planes(defined by normalized normal vectors and their distance from origin) 2) Points of intersection(that I've calculated) Can anybody help me find out how I can find the points encircled in red? Thanks.

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  • Need the co-ordinates of innerPolygon

    - by user960567
    Let say I have this diagram, Given that i have all the co-ordinates of outer polygon and the distance between inner and outer polygon is d is also given. How to calculate the inner polygon co-ordinates? Edit: I was able to solved the issue by getting the mid-points of all lines. From these mid-points I can move d distance, So I can get three points. No I have 3 points and 3 slopes. From this, I can get three new equations. Simultaneously, solving the equation get the 3 points.

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  • Setting density for Android game

    - by Asghar
    I am developing an Android game, in which a ball (bitmap) translates( is in motion). So I have provided motion equations for the ball. I have checked my app on Samsung galaxy S2 whose actual density is roundly 252 dpi, and It works fine on that. So my question is that Does these motions of bitmaps in surfaceView, depends on actual density of phone( i.e 252 dpi for S2) or generalized density(i.e 240 dpi). I am confused whether if I run this app on 235 dpi smartphone, So will it have the same performance of motion as it is on Galaxy S2( with 252 dpi) or it would be little slow ? Any help will be appreciated.

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  • How to simulate objects floating on water without a physics engine?

    - by user1075940
    In my game the water movement is done in a shader using Gerstner equations. The water movement looks realistic enough for a school project but I encounter serious problem when I wanted to do sailing on waves (similar to this). I managed to do collision with land by calculating quad's vertices and normals beneath ship, however same method can not be applied to water because XZ are displaced and Y is calculated in a shader :( How to approach this problem ? Is it possible to retrieve transformed grid from shader? Unfortunately no external physics libraries can be used.

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  • Fast language for problem solving? [closed]

    - by Friend of Kim
    I learned PHP to make websites. After some years I've started using programming for solving what is difficult tasks for my level. Now I want to make a program that solves equations. (I want to write it myself, not use an API. Because I'm doing this for the sake of the challenge, not for the result..) Because of this, I'm going to learn a new and faster/better language. It's going to be C++, Java, Python or C#. What are the benefits of each language, and which language is best for speed compared to speed of writing and readability? Using C would be lightning fast, but the lack of OO is making for more complex code and reduces the readability, for example..

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  • Vector transform equation explanation

    - by cyberdemon
    I'm trying to understand the maths of moving points in a 3d space by making a game written in C#. I'm looking at this wolfire blog series which explains some basic 3d maths. I've read the first two parts but am stuck on the 3rd. I know it's all really rudimentary stuff but I find Googling for help with equations really hard. The one I'm struggling with is: 0*(0.66,0.75) + 2*(-0.75, 0.66) = (-1.5, 1.3) How can anything multiplied by 0 not be 0? So my question is how does this look in code: x(a,b) + y(c,d) I know it's basic stuff but I just can't see it.

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  • LyX - breaking long formula lines

    - by Amir Rachum
    How can I break long formulas in LyX into two (or more) lines? I know how to write several lines of equations in one "math box" but I'm looking for a solution to break lines even in the middle of a parenthesis. I'm using LyX 1.6.4 and currently, when the formula is too big, it doesn't do anything (it just doesn't print the last segment of it, which is "beyond" the page). Is this possible in LyX?

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  • Implementing Projectile Motion

    - by DMan
    I've scored the internet for sources and have found a lot of useful information, but they are math sites trying to tell me how to solve what angle an object has to be at to reach y location. However, I'm trying to run a simulation, and haven't found any solid equations that can be implemented to code to simulate a parabolic curve. Can those with some knowledge of physics help me on this?

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  • recurrence maths

    - by Tony
    Hi all! I have the following: T(n) <= c floor(n/2) + c ceiling(n/2) + 1 = cn + 1 T(n) = O(n) I don't understand how it gets from the first equation to the second equation? What part of the maths am I missing to understand how this comes to be? Is it done using 'Simplifying Equations' or some other rules? Can someone help me?

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  • What's a good library for parsing mathematical expressions in java?

    - by CSharperWithJava
    I'm an Android Developer and as part of my next app I will need to evaluate a large variety of user created mathematical expressions and equations. I am looking for a good java library that is lightweight and can evaluate mathematical expressions using user defined variables and constants, trig and exponential functions, etc. I've looked around and Jep seems to be popular, but I would like to hear more suggestions, especially from people who have used these libraries before.

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  • Basic Recursion, Check Balanced Parenthesis

    - by pws5068
    Greetings all, I've written software in the past that uses a stack to check for balanced equations, but now I'm asked to write a similar algorithm recursively to check for properly nested brackets and parenthesis. Good examples: () [] () ([]()[]) Bad examples: ( (] ([)] Suppose my function is called: isBalanced. Should each pass evaluate a smaller substring (until reaching a base case of 2 left)? Or, should I always evaluate the full string and move indices inward?

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  • [LaTeX] Math symbols in listings

    - by Michal
    Hi, I have a problem with Latex -- I don't know how to put mathematical equations and symbols in listings. I use --listings-- package and it's offers great looking listings, but it doesn't allow math symbols in $ .. $. Another package --algorithms-- allows math, but listings doesn't look as good as in --listings-- (the problem is that --algorithms-- demands to get new line after every --if--, --then--, etc.) Thanks for reply Michal

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  • JavaScript computer algebra system

    - by Jonas
    I am looking for a simple computer algebra system (cas) for JavaScript but I can't find anything with google. I only need basic functionality: simplify expressions to some canonic form. Ability to check if two expressions are the same, i.e., a(x+y) == ax+ay parse mathematical formulas. I want it to be able to read expressions like ax²+4x. solve simple equations etc. Do you know of such a library?

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  • Lisp, OCaml or what for Runge Kutta?

    - by Eelvex
    Which language would you propose for solving a system with: first order differential equations complex variables N-dimensions using 4th order Runge Kutta or the like. Speed matters a lot but would sacrifice for: Elegant (clean and short) code Flexibility + scalability I'm mostly between a Lisp and OCaml but any other suggestion is welcomed. Thanks!

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  • Need help nesting an Excel calculation

    - by Frank
    Here's what's currently happening: Z8: 100 Z9: =((Z8*W2)+Z8) Z10: =Z9*X2+Z9 Z11: =Z10*Y2+Z10 I start with a value of 100 and then add data from W2, X2 and Y2. This works, but it spans across three cells. I need it to fit into one. I'm drawing a blank on nesting the equations to fit into the one. Help?

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  • 6^x = 5 equation, how to solve it?

    - by Tom
    If it would be 6^x = 1 or 6^x = 6 or 6^x = 36 it would be extremely easy, but how to solve this equation: 6^x = 5 I don't need an answer, I want to find out how to solve equations like this one, I need solution. Thanks.

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  • trouble in using flalign (LaTeX)

    - by Jorge
    I am trying to put 3 equations with "=" signs aligned but also left aligned. I tried the following: \documentclass{article} \usepackage{amsmath} \begin{document} \begin{flalign*} RPC &= A+B\tilde{f} +C x &\ A &= a+\eta &\ E &= cte & \end{flalign*} \end{document} With this I get the stuff in the left and the "=" signs aligned. However, I also need A (in the second equation) and E (in the third equation) to be aligned to the R (in the first one) Does anyone know how to get it? thanks

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  • What rendering services are available to convert URLs to images?

    - by tangens
    I know some services that encode the description of an image inside on an URL. For example: yuml.me for drawing UML Diagrams: or www.codecogs.com for rendering LaTeX equations: I really like these services to use them inside my javadoc to illustrate the documentation. On stackoverflow.com it's a bit tricky to encode these URLs, see my request at meta.stackoverflow.com. Question Are there any other rendering services that are useful for documenting source code?

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  • Is there a C++ graphing library?

    - by thyrgle
    Is there a C++ graphing library that can display visual graphs (such as hyperbolas and parabolas and linear equations) based on the equation it is given and that is cross platform? Or am I just asking for too much...

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  • Adobe distiller: Cambria not found, using Courier.

    - by bobobobo
    Whenever I try to print to PDF from an MS Word 2007 document, I get this error: Cambria not found, using Courier. (Even though I believe I removed ALL occurrences of Cambria from the document) The pdf doesn't get produced actually, all I get is this error log file with that message. Edit: I found the source of the problem. It was an MS-Word equation that insists on using "Cambria Math" that the distiller was choking over. I can't seem to get equations to print to pdf though!

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