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#3867 Website Spectrum Analysis Data-Drive Digital Art

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#3867 Website Spectrum Analysis Data-Drive Digital Art #3867  My web app has a spectrum analyzer that displays 24-36 vertical bars across the spectrum that react to the MP3 audio. Can I consider each one of these bars to be a set of values that I can reference from JavaScript? Yes, absolutely. The visualization you see on the screen is just the "paint" on top of a raw array of numbers that exists in memory. In the Web Audio API (which most web spectrum analyzers use), those bars correspond to a TypedArray (usually a Uint8Array ) representing frequency data. Here is how you can access and manipulate those values in JavaScript. 1. The Underlying Mechanism: AnalyserNode The logic works like this: Audio Source (MP3) $\rightarrow$ AnalyserNode $\rightarrow$ Destination (Speakers). The AnalyserNode performs a Fast Fourier Transform (FFT) to break the sound into frequency "bins." Your visualization loop calls a method (usually getByteFrequencyData ) to grab a snapsh...

#3866 Factoring a Large Number

#3866 Factoring a Large Number #3866  Think hard. I have 1000 bytes of data, where if you look at the bit representation, the value of a number would be on the order of 2^8000 (i.e. 8 bits per byte). Devise a feasible and practical method to factor that number and/or provide an equation for that value. The factor list and/or equation should result in <= 100 bytes of information Here is the hard truth: If the 1000 bytes (8000 bits) of data represent a truly random integer, it is computationally impossible to factor it with current or near-future technology. The current world record for general integer factorization is roughly 829 bits (RSA-250). You are asking for 8000 bits. However, the constraint that the resulting factor list or equation must be $\le$ 100 bytes provides the key. It implies the number is not random . A random 8000-bit number has high Kolmogorov complexity and cannot be losslessly compressed to 100 bytes. Therefore, the number must be highly structured (low e...

#3865 Porting a Mathematica Application to C, C++, Python or EXE

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#3865 Porting a Mathematica Application to C, C++, Python or EXE #3865  Can a Mathematica application be ported to C, C++, Python or an EXE? Yes, you can port parts of a Mathematica application, but the ease and completeness of the port depend heavily on what you're porting and which language you're targeting. A full, automatic conversion of a complex application (especially one with a user interface) is generally not feasible. The most successful porting focuses on the computational core of your application. Here’s a breakdown of your options. 1. Porting to C, C++, or an EXE This is the most well-supported and direct path. Mathematica has built-in tools designed to convert its computational code into C, which you can then compile into a standalone executable (EXE) or a library (.dll, .so). 1 🧰 Key Tools & Methods Compile : This is your primary tool. It's used to compile numerical and logical functions into highly efficient machine code. You can set the CompilationT...