## Random noise in my ear 05,hearing impairment ppt quimica,egb 761 tinnitus xtc - And More

Once upon a time I stumbled across Random.org, an awesome true random number generation service. I was messing around with the Bitmap Generator, when I decided to create a pseudo-random generated bitmap of my own to compare. Not many PRNGs will produce an obvious visual pattern like this, it just so happens to be a really bad combination of language (PHP), operating system (Windows), and function (rand()). Basically, it's the sort of thing you wouldn't need worry about with a true random number generator, unless somehow it's security was breached (a whole other topic really).

Pyglet is a very good Python module, wrapping OpenGL and providing access to mouse and keyboards events. Note that here I use a variant on the classical Julia : I render a distance to the boundary of the fractal, the trick being from the amazing Inigo Quilez. The problem : you want to have several plots on a single figure, you want to fit them on a A4 format, and you want to have this as a PDF document.

Note the tight_layout call, which pack all the plots within a figure automatically, and does a nice job at it. Now, we can combine subplot2grid with the multiple page trick, and get multiple pages PDF documents which look good. As you can see, a little bit of arithmetic is used to have the proper number of pages and create them at the right moment.

Let's imagine an infinite 2d grid (or more realistically, a very large grid, larger than what I can reasonnably keep in memory), and to each node of that grid, we associate an integer value. When working with procedural content generation, say, procedural textures, GridNoise is an essential building block. The idea is use the coordinates of a node to build a key, and to hash that key with a hash function to get our integer.

As you can see, because Pearson hash relies on a permutation table, it's not one single function, but a whole familly of functions ! The Z-curve is a space-filling curve, defining a map between 2d coordinates and 1d coordinates.

Because of its shape, I believed that the Z curve would scramble those nasty patterns we got.

There are much simpler and leaner algorithms to evenly distribute N points over a disc or a sphere, if one can live with just a good approximation. Alternatively, lets assume that we wanted to see whether there was any pattern to the residuals.

This technique can also be used to check and see whether the noise component is constant across the dataset).

The difference between true random number generators (TRNGs) and pseudo-random number generators (PRNGs) is that TRNGs use an unpredictable physical means to generate numbers (like atmospheric noise), and PRNGs use mathematical algorithms (completely computer-generated). And those days, even a puny low-end graphic card packs a lot of power : GPU, massively parallel computing. We have to explicitly instantiate that back-end and tells it that we want to go multiple pages. Every time we look at one particular node of the grid, we want the same value associated to that node. We can take the 16 bits of the X coordinate, the 16 bits of the Y coordinates, put them one after each other into a 32 bits value. The sphere will look good even with few polygons, but the indexing and computing the normals won't be especially fast. I also ran the same code again in Windows, but using PHP's mt_rand() function instead, which utilizes the Mersenne Twister to generate a better random number, and it did not have an obvious visual pattern. Although it's been around for years now, I never bothered tinkering with GPU, lack of time, other interests. You can see this fractal as function to iterate for each pixel of a picture, that takes as input the coordinate of the pixel. A few minutes of coding, and I got that instant enlightenment, with a feeling of achievement on the top of it. The 1d coordinate is a 2n 2n bits number, built by interleaving the bits of the 2d coordinates. However, the Z curve is maybe the cheapest to compute I know, while being close to the best one I know, the Hilbert curve.

Let's try to cut a unit disc in one disc and one ring of equal areas, by cutting the unit disc at radius . Now that I feel comfortable with OpenGL, Python and Pyglet, however, harnessing this GPU goodness require very little effort. Consider visiting the Wikipedia page about Julia fractals, there is a lot to learn about it there. Since Matplotlib is a Python module, plots are described in Python, rather than a (usually clumsy) custom language.

That's not too hard, we have just to specify the proper dimensions and resolutions when creating a Figure. Finally, we can specify the span of the plot, so that its spans over several elements of the grid. For demonstration purpose, I used 16 bits coordinates for the grid nodes, thus GridNoise is a procedure 65536x65536 noise texture.

So what I did is to render the Julia fractal as a fragment shader, and control the parameter with the mouse. So a script using Matplotlib can harness the full power of Python and its nice modules like Numpy. Because say, at work, you might have to deal with Linux distributions are providing rather outdated versions of software in their official packages repositories, and even the unofficial ones are lagging.

I use Pearson hashing : it's a very simple hash function, fast to compute, it have good properties, and it's dead simple to code. If we try to compress this picture, throwing lot's of CPU time at this, we find out if there is some obvious repeating pattern. If we use 32 bits, or even 64 bits coordinates, then we got a Universe-scale noise texture to work with. I might have overlooked some awfull flaw, I would be glad to know it if anybody notice that. Now, let's try to cut the unit disc in one disc and 2 concentric rings, all of equal areas. If is a rational number, we would obtain clusters of points aligned with the center of the disk. Moreover, Matplotlib is rather complete, providing a wide diversity of plots and render targets such as PNG, PDF, EPS. Since GridNoise is a low-level, essential building block, one might want something without obvious defects.

A slightly more complex calculation (a system of 2 linear equations) would tell us that we should cut the unit disc at radius and . As it turns out, the golden ratio is the irrational number the hardest approximate with a continued fraction.

Originally a Gnuplot user, it's been a couple of years with Matplotlib and me, and I am very happy with it.

Written as a continued fraction, the golden ratio is the irrational number with the slowest convergence of all the irrational numbers. If we reverse X and Y in the 4 bytes array, it just turns the vertical bands into horizontal bands.

Rotate this by 90 degrees, and suddenly, it become very easily compressible, also around 90% size reduction with optipng.

16.11.2015 admin

Pyglet is a very good Python module, wrapping OpenGL and providing access to mouse and keyboards events. Note that here I use a variant on the classical Julia : I render a distance to the boundary of the fractal, the trick being from the amazing Inigo Quilez. The problem : you want to have several plots on a single figure, you want to fit them on a A4 format, and you want to have this as a PDF document.

Note the tight_layout call, which pack all the plots within a figure automatically, and does a nice job at it. Now, we can combine subplot2grid with the multiple page trick, and get multiple pages PDF documents which look good. As you can see, a little bit of arithmetic is used to have the proper number of pages and create them at the right moment.

Let's imagine an infinite 2d grid (or more realistically, a very large grid, larger than what I can reasonnably keep in memory), and to each node of that grid, we associate an integer value. When working with procedural content generation, say, procedural textures, GridNoise is an essential building block. The idea is use the coordinates of a node to build a key, and to hash that key with a hash function to get our integer.

As you can see, because Pearson hash relies on a permutation table, it's not one single function, but a whole familly of functions ! The Z-curve is a space-filling curve, defining a map between 2d coordinates and 1d coordinates.

Because of its shape, I believed that the Z curve would scramble those nasty patterns we got.

There are much simpler and leaner algorithms to evenly distribute N points over a disc or a sphere, if one can live with just a good approximation. Alternatively, lets assume that we wanted to see whether there was any pattern to the residuals.

This technique can also be used to check and see whether the noise component is constant across the dataset).

The difference between true random number generators (TRNGs) and pseudo-random number generators (PRNGs) is that TRNGs use an unpredictable physical means to generate numbers (like atmospheric noise), and PRNGs use mathematical algorithms (completely computer-generated). And those days, even a puny low-end graphic card packs a lot of power : GPU, massively parallel computing. We have to explicitly instantiate that back-end and tells it that we want to go multiple pages. Every time we look at one particular node of the grid, we want the same value associated to that node. We can take the 16 bits of the X coordinate, the 16 bits of the Y coordinates, put them one after each other into a 32 bits value. The sphere will look good even with few polygons, but the indexing and computing the normals won't be especially fast. I also ran the same code again in Windows, but using PHP's mt_rand() function instead, which utilizes the Mersenne Twister to generate a better random number, and it did not have an obvious visual pattern. Although it's been around for years now, I never bothered tinkering with GPU, lack of time, other interests. You can see this fractal as function to iterate for each pixel of a picture, that takes as input the coordinate of the pixel. A few minutes of coding, and I got that instant enlightenment, with a feeling of achievement on the top of it. The 1d coordinate is a 2n 2n bits number, built by interleaving the bits of the 2d coordinates. However, the Z curve is maybe the cheapest to compute I know, while being close to the best one I know, the Hilbert curve.

Let's try to cut a unit disc in one disc and one ring of equal areas, by cutting the unit disc at radius . Now that I feel comfortable with OpenGL, Python and Pyglet, however, harnessing this GPU goodness require very little effort. Consider visiting the Wikipedia page about Julia fractals, there is a lot to learn about it there. Since Matplotlib is a Python module, plots are described in Python, rather than a (usually clumsy) custom language.

That's not too hard, we have just to specify the proper dimensions and resolutions when creating a Figure. Finally, we can specify the span of the plot, so that its spans over several elements of the grid. For demonstration purpose, I used 16 bits coordinates for the grid nodes, thus GridNoise is a procedure 65536x65536 noise texture.

So what I did is to render the Julia fractal as a fragment shader, and control the parameter with the mouse. So a script using Matplotlib can harness the full power of Python and its nice modules like Numpy. Because say, at work, you might have to deal with Linux distributions are providing rather outdated versions of software in their official packages repositories, and even the unofficial ones are lagging.

I use Pearson hashing : it's a very simple hash function, fast to compute, it have good properties, and it's dead simple to code. If we try to compress this picture, throwing lot's of CPU time at this, we find out if there is some obvious repeating pattern. If we use 32 bits, or even 64 bits coordinates, then we got a Universe-scale noise texture to work with. I might have overlooked some awfull flaw, I would be glad to know it if anybody notice that. Now, let's try to cut the unit disc in one disc and 2 concentric rings, all of equal areas. If is a rational number, we would obtain clusters of points aligned with the center of the disk. Moreover, Matplotlib is rather complete, providing a wide diversity of plots and render targets such as PNG, PDF, EPS. Since GridNoise is a low-level, essential building block, one might want something without obvious defects.

A slightly more complex calculation (a system of 2 linear equations) would tell us that we should cut the unit disc at radius and . As it turns out, the golden ratio is the irrational number the hardest approximate with a continued fraction.

Originally a Gnuplot user, it's been a couple of years with Matplotlib and me, and I am very happy with it.

Written as a continued fraction, the golden ratio is the irrational number with the slowest convergence of all the irrational numbers. If we reverse X and Y in the 4 bytes array, it just turns the vertical bands into horizontal bands.

Rotate this by 90 degrees, and suddenly, it become very easily compressible, also around 90% size reduction with optipng.

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