Recent content by tanus5

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    How Can You Create a Universal Reflection Vector from the Origin?

    This is actually part of my process. I re-invent the wheel and then compare it to what's been done by others and take the best from both for my final "marketable" products. As for dead-ends, I rarely run into any actual dead ends as there always seems to be some way to refactor to repair...
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    How Can You Create a Universal Reflection Vector from the Origin?

    Thanks, my level of frustration was much higher at the time but I'm sure this information will come in handy eventually. This is the only disadvantage of being self-taught, I absorb concepts much quicker than terminology and can model those concepts in computer simulations without ever knowing...
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    How Can You Create a Universal Reflection Vector from the Origin?

    @ModestyKing, thanks for your help. About half of the things you suggest I'm already very familiar with and the other half I'll need to look into. I have a family and do full time freelance work so that doesn't really leave me the time to return to college, but even if I did have the time I...
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    How Can You Create a Universal Reflection Vector from the Origin?

    Thank you, this is exactly what I'm trying to define. I'm almost positive that I've overcomplicated the situation. My end-goal is to create a multidimensional CAD application that utilizes solids and virtual physics to produce the environment instead of the current methods of points, edges...
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    How Can You Create a Universal Reflection Vector from the Origin?

    The following "function" can be used in my vector in 2 dimensional space to get an idea for what I'm looking for. (1−tanh(G(0)m,n^100)) * tanh(t) + tanh(G(0)m,n^100) This is certainly not an ideal solution but it gets rid of the conditional. This formula was developed in 2 dimensional space...
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    How Can You Create a Universal Reflection Vector from the Origin?

    Thank you for the correction. I would delete this thread if I could, but I can't. I don't believe for one minute that it is impossible but for now I'll just keep using these ugly conditionals since they work. I'll post the solution when I solve it myself. I know I've seen a function that is ~ 1...
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    How Can You Create a Universal Reflection Vector from the Origin?

    Please excuse my terminology as I am teaching myself linear algebra. I am attempting to construct a vector which can provide reflection from the origin, eventually I want to be able to move this point of reflection anywhere (translation and rotation) but I'm starting at the origin since that is...
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    2D Fourier Transform on a non-rectangular space

    After a good amount of Googling it seems that I'm looking for a variation of the EDFT algorithm (Elliptic Discrete Fourier Transform). I have not yet been able to find a comprehensive explanation of an EDFT algorithm. What I need is a comprehensive explanation of an elliptic Fourier transform...
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    2D Fourier Transform on a non-rectangular space

    2D Fourier Transform on a non-rectangular area Is it possible to perform a Fourier transform on a shape instead of a rectangular region? To be specific I am attempting to make a linear zoom function that doesn't produce any pixelation and that mimics natural blur that occurs with distance...
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    Extracting a fourier series of pure tones from a signal

    What if I divide each point by the selected frequency with the calculated phase angle and take the average? Will that produce the amplitude with the least error? The way I see it that would basically be re-scaling the space by a cosine and the results at each point would then be an amplitude...
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    Extracting a fourier series of pure tones from a signal

    Thanks. I've never heard of non-linear least squares before but it does look like what I'm looking for. I've been doing image processing and noise reduction and am trying to reduce the artifacts that come into play when eliminating high frequencies from an FFT. I suspect a large part of the...
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    Extracting a fourier series of pure tones from a signal

    I believe this is an error minimization problem so I am trying to solve the following equation Min((∑ ( (S(t) - A cos(b t + C)))^2 ) Where S(t) is the input signal, t is time and I will sum over t, A is the amplitude, b is radians per second (frequency), and C is the phase angle. I...
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    Is it possible to express all mathematics through atomic pieces of computation?

    @MrAnchovy, Thanks I think that was exactly what I was looking for. It looks like I need to do more research into the turing machine also. What I was able to gather from the wikipedia article though is that there are problems that are unsolvable so before going down a rabbit hole to never...
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    Is it possible to express all mathematics through atomic pieces of computation?

    I have been considering the idea for awhile that all mathematics could be broken down into atomic pieces that are indivisible, and therefore any formula could be determined through a process of elimination by trying every possible mathematical formula. Here is what I have come up with so...
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    How do you properly define an infintisimal scaler?

    @scurty, thanks, that is exactly what I needed. I wish I had read that before studying calculus in the first place, it would have helped me to avoid many headaches. [edit] after the fact I ran some tests in scilab and this formula does not work for a fuzzy Y. I still have a ways to go to...
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