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• How to derive euler angles from matrix or quaternion?

  - by KlashnikovKid

  Currently working on steering behavior for my AI and just hit a little mathematical bump. I'm in the process of writing an align function, which basically tries to match the agent's orientation with a target orientation. I've got a good source material for implementing this behavior but it uses euler angles to calculate the rotational delta, acceleration, and so on. This is nice, however I store orientation as a quaternion and the math library I'm using doesn't provide any functionality for deriving the euler angles. But if it helps I also have rotational matrices at my disposal too. What would be the best way to decompose the quaternion or rotational matrix to get the euler information? I found one source for decomposing the matrix, but I'm not quite getting the correct results. I'm thinking it may be a difference of column/row ordering of my matrices but then again, math isn't my strong point. http://nghiaho.com/?page_id=846

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• Will learning programming be as fundamental as learning reading/writing to the kids of the future?

  - by pythagras

  It seems I encounter more and more economists, scientists, and miscellaneous other professionals that have jobs that involve programming on some level. More and more, the jobs that my peers have in many many technical professions involve at least some simple scripting if not something more involved. It seems it used to be that "software engineer" was a distinct profession, now its becoming just another skill like writing -- something that any serious technical professional should be able to use for their job. I see a future where programming is essential to getting any kind of technical/mathematical job. Extrapolating on my anecdotal view of my colleagues... Will the kids of the future become literate in programming in the same way they become readers/writers? Will it become so fundamental to our economy and society that it will be taught at an early age? Will interacting with computers be as important as interacting with other people?

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• Is it possible to learn maths via programming, or you should learn maths for programming?

  - by SAFAD

  I am not the best in maths, not very horrid either, but lower than the average, I've always been thinking to improve my maths, but schools and books didn't do the job because I get bored too fast. The only thing I don't get bored with is coding and gaming, so I thought what if coding a program that solves mathematical problems will help me understand maths better, most of these problems are limits (calculus), functions, Differential calculus, and some other subjects (I already said am not that good) similar to the previous noted. My question is: Am I able to achieve a better knowledge in maths if I do some specific program coding, and if possible, is physics possible that way too? Or am I wrong and Maths should be learned before programming to help improve my coding? P.S : C++ is the preferred language.

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• Algorithm development in jobs

  - by dbeacham

  I have a mathematics background but also consider career in some form of software development. In particular I'm interested in finding out what sort of industries are most likely to have more algorithm development/mathematical and logical problem solving slant rather than pure application development etc. Obviously, I'm assuming that some subset of the canonical data structures and associated algorithms (trees, lists, hash tables, sets, maps with search, insert, traversals etc.) are mostly going to be present in software development. However, where am I more likely to encounter problems of more discrete maths nature (combinatorial, graph theory, sets, strings, ...) explicitly or more likely in disguise. Any pointers much appreciated (including possible open source projects that I could use for my further search for applications and also possibly contribute to).

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• How to move an object along a circumference of another object?

  - by Lumis

  I am so out of math that it hurts, but for some of you this should be a piece of cake. I want to move an object around another along its ages or circumference on a simple circular path. At the moment my game algorithm knows how to move and position a sprite just at the edge of an obstacle and now it waits for the next point to move depending on various conditions. So the mathematical problem here is how to get (aX, aY) and (bX, bY) positions, when I know the Centre (cX, cY), the object position (oX, oY) and the distance required to move (d)

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• What is the difference between _Procedural Generation_ and _Random Generation_?

  - by U-No-Poo

  Today, I got into an argument about the term "procedural generation". My point was that its different from "classic" random generation in that procedural generation is based on a more mathematical, fractal-based, algorithm leading to a more "realistic" distribution and the usual randomness of most languages are based on a pseudo-random-number generator, leading to an "unrealistic", in a way, ugly, distribution. This discussion was made with a heightmap in mind. The discussion left me somehow unconvinced about my own arguments though, so, is there more to it? Or am I the one who is, in fact, simply wrong?

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• Stairway to T-SQL DML Level 4: The Mathematics of SQL: Part 1

  A relational database contains tables that relate to each other by key values. When querying data from these related tables you may choose to select data from a single table or many tables. If you select data from many tables, you normally join those tables together using specified join criteria. The concepts of selecting data from tables and joining tables together is all about managing and manipulating sets of data. In Level 4 of this Stairway we will explore the concepts of set theory and mathematical operators to join, merge, and return data from multiple SQL Server tables. Get Smart with SQL Backup Pro Powerful centralised management, encryption and more.SQL Backup Pro was the smartest kid at school Discover why.

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• What is the name of this array transformation?

  - by Brandon Tilley

  Start with an array of arrays; in this case, they are different lengths in order to demonstrate the technique, but they do not have to be. [[1,2,3,4], [5,6,7], [8,9,10], [11,12,13,14,15]] At the other end of the transformation, you have an array of arrays where the first array contains the first element from each of the original arrays, the second array contains the second element from each of the original arrays, and so on. [[1,5,8,11], [2,6,9,12], [3,7,10,13], [4,14], [15]] Is there a mathematical or CS term for this operation?

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• Where should a programmer explain the extended logic behind the code?

  - by SRKX

  I have developed a few quantitative libraries in C# where it is important to understand not only the classic information that goes with the XMLDoc comments (which contains basic information with the method signature) but also the mathematical formulas being use within the methods. Hence I would like to be able to include extended documentation with the code, which could contain, for example Latex formulas, graphs, and so on. Do you think such information should be included in the API documentation? Or should it be included in a dev blog for examples? Are there common tools that are usually used for this kind of purposes?

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• Try/Catch or test parameters

  - by Ondra Morský

  I was recently on a job interview and I was given a task to write simple method in C# to calculate when the trains meet. The code was simple mathematical equation. What I did was that I checked all the parameters on the beginning of the method to make sure, that the code will not fail. My question is: Is it better to check the parameters, or use try/catch? Here are my thoughts: Try/catch is shorter Try/catch will work always even if you forget about some condition Catch is slow in .NET Testing parameters is probably cleaner code (Exceptions should be exceptional) Testing parameters gives you more control over return values I would prefer testing parameters in methods longer than +/- 10 lines, but what do you think about using try/catch in simple methods just like this – i.e. return (a*b)/(c+d); There are many similar questions on stackexchnage, but I am interested in this particular scenario.

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• Help with timebased scoring algorithm

  - by Dave

  Im trying to devise an appropriate scoring system for my game. The game in essense has a finite number of tasks to complete (say 20) and the quicker you complete these task, the more points you get. I had devised a basic way of doing this using bands of time multiplied by a score for that band multiplied by the number of tasks solved within that time band i.e. (Time Band) = (Points) 1-5 sec = 15, 5-10 secs = 10, 10-20 secs = 5, 20-30 secs = 3, 40 secs onwards = 1, So for example if I did 3 tasks in the 1-5sec band i'd get 15*3=45points, if i found 10 in the 20-30sec band i'd get 3*10=30 points. Im sure there is a more mathematical way of doing this using powers of some kind but I just can't think how and hoping someone has already done something smilar.. Many thanks in advance

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• Sprite rotation

  - by Kipras

  I'm using OpenGL and people suggest using glRotate for sprite rotation, but I find that strange. My problem with it is that it rotates the whole matrix, which sort of screws up all my collision detection and so on and so forth. Imagine I had a sprite at position (100, 100) and in position (100, 200) is an obstacle and the sprite's facing it. I rotate the sprite away from the obstacle and when move upwards my y axis, even though the projection shows like it's going away from the obstacle, the sprite will intersect it. So I don't see another way of a rotating a sprite and not screwing up all collision detection other than doing mathematical operations on the image itself. Am I right or am I missing something?

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• Why isn't functional language syntax more close to human language?

  - by JohnDoDo

  I'm interested in functional programming and decided to get head to head with Haskell. My head hurts... but I'll eventually get it... I have one curiosity though, why is the syntax so cryptic (in lack of another word)? Is there a reason why it isn't more expressive, more close to human language? I understand that FP is good at modelling mathematical concepts and it borrowed some of it's concise means of expression, but still it's not math... it's a language.

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• If you need more than 3 levels of indentation, you're screwed?

  - by jokoon

  Per the Linux kernel coding style document: The answer to that is that if you need more than 3 levels of indentation, you're screwed anyway, and should fix your program. What can I deduct from this quote? On top of the fact that too long methods are hard to maintain, are they hard or impossible to optimize for the compiler? I don't really understand if this quote encourages better coding practice or is really a mathematical / algorithmic sort of truth. I also read in some C++ optimizing guide that dividing up a program into more function improves its design is a common thing taught at school, but it should be not done too much, since it can turn into a lot of JMP calls (even if the compiler can inline some methods by itself).

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• "more than 3 levels of indentation, you're screwed" How should I understand this quote ?

  - by jokoon

  The answer to that is that if you need more than 3 levels of indentation, you're screwed anyway, and should fix your program. What can I deduct from this quote ? On top of the fact that too long methods are hard to maintain, are they hard or impossible to optimize for the compiler ? I don't really understand if this quote encourages better coding practice or is really a mathematical/algorithmic sort of truth... I also read in some C++ optimizing guide that dividing up a program into more function improves its design is a common thing taught at school, but it should be not done too much, since it can turn into a lot of JMP calls (even if the compiler can inline some methods by itself).

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• Is it correct to add booleans in order to count the number of true values in a vector?

  - by gerrit

  Is it conceptually correct to sum a vector of booleans? From a mathematical point of view, I would argue it's not: True + True != 2. But it's quite practical to do so still! Example using the vectorised Python library numpy: In [1]: X = rand(10) In [2]: large = X>0.6 In [3]: large.dtype Out[3]: dtype('bool') In [4]: large.sum() Out[4]: 7 I don't like it, but it's very practical. Is this a good practice? Update: the aim is to count the number of true values in a vector.

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• If you need more than 3 levels of indentation, you're screwed?

  - by jokoon

  Per the Linux kernel coding style document: The answer to that is that if you need more than 3 levels of indentation, you're screwed anyway, and should fix your program. What can I deduce from this quote? On top of the fact that too long methods are hard to maintain, are they hard or impossible to optimize for the compiler? I don't really understand if this quote encourages better coding practice or is really a mathematical / algorithmic sort of truth. I also read in some C++ optimizing guide that "dividing up a program into more functions improves its design" is frequently taught in CS courses, but it should be not done too much, since it can turn into a lot of JMP calls (even if the compiler can inline some methods by itself).

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• What is meant by namespaced content and what advantages does it have?

  - by Geek

  I was reading this blog by James Bennett regarding HTML vs XHTML . He writes : I don’t have any need for namespaced content; I’m not displaying any complex mathematical notation here and don’t plan to, and I don’t use SVG for any images. So that’s one advantage of XHTML out the window. I also don’t have any need for XML tools; all the processing I need to do can be handled by HTML-parsing libraries like BeautifulSoup. That’s the other advantage gone. What does he mean by namespaced content and what advantage does it provide us ?

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• PostScript versus PDF as an output format

  - by Brecht Machiels

  I'm currently writing a typesetting application and I'm using PSG as the backend for producing postscript files. I'm now wondering whether that choice makes sense. It seems the ReportLab Toolkit offers all the features PSG offers, and more. ReportLab outputs PDF however. Advantages PDF offers: transparancy better support for character encodings (Unicode, for example) ability to embed TrueType and even OpenType fonts hyperlinks and bookmarks Is there any reason to use Postscript instead of directly outputting to PDF? While Postscript is a full programming language as opposed to PDF, as a basic output format for documents, that doesn't seem to offer any advantage. I assume a PDF can be readily converted to PostScript for printing? Some useful links: Wikipedia: PDF Adobe: PostScript vs. PDF

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• How to Ignore certain tags and replace texts in PHP

  - by Aakash Chakravarthy

  Hello, I have a variable like $content = "Lorem Ipsum is simply <b>dummy text of the printing</b> and typesetting industry. Lorem Ipsum has been the industry's <i>standard dummy text</i> ever since the 1500s <string>javascriptFunc();</script>" ; when i use str_replace('a', '', $content); all the 'a's get removed. But the 'a's within the <script> tag should not be removed. or is there any way to replace text other than this method Please help .

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• jQuery basics - selector

  - by rkrauter

  I feel dumb.. Why is my "header" div not being selected? It's background color is not being changed. I am learning about the + operator so I am not looking for a different selector. E + F an F element immediately preceded by an E element $("#divA + div").css("background-color", "red"); Html <div id="divA"> <div> Header</div> Lorem Ipsum is simply dummy text of the printing and typesetting industry. </div> Thanks!

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• Offloading to HLSL/GPU without displaying?

  - by George R

  As far as I know, certain mathematical functions like FFTs and perlin noise, etc. can be much faster when done on the GPU as a pixel shader. My question is, if I wanted to exploit this to calculate results and stream to bitmaps, could I do it without needing to actually display it in Silverlight or something? More specifically, I was thinking of using this for large terrain generation involving lots of perlin and other noises, and post-processing like high passes and deriving normals from heightmaps, etc, etc.

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• Why is Random class isn't really random?

  - by iTayb

  I've read about it on a message board - Random class isn't really random. It is created with predictable fashion using a mathematical formula. Is it really true? If so, Random isn't really random??

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• How to embed AsciiMathML in Google Sites?

  - by Joannes Vermorel

  We would need to embed mathematical formulas through AsciiMathML into Google Sites pages (internal wiki for a research team). I am stuck with the limitation of Google Sites. Any idea how to do that? (ps: I have finally found a poorly practical work-around, but better ideas would still be appreciated)

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• Techniques and algorithms for precise and efficient graph plotting

  - by Viet

  I'd like to plot mathematical functions and I'm looking for techniques and algorithms for precise and efficient plotting. 2D plotting should suffice. I focus on techniques and algorithms, not libraries or languages. Thanks in advance!

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