Monkey Raptor V.2

JavaScript: Browser-based Audio Analysis Using AnalyserNode

Greetings. 🎩 I will demonstrate the implementation of AnalyserNode to reveal (compute) the peaks and such from an audio source. This will only output the numbers rather than an elaborate animation. In this, we can choose whether to use a sample audio (hosted on a cloud storage) or a local audio file. Highlights of the flow: // 1. Create audio element audioElement = document.createElement("audio") // Make sure we convert the source to a proper Blob first, // not URL/path string like https://www.host... or local E:\path\to\file\... // Details in the code below the demonstration. audioElement.src = [Blob] // Then append the audio element to DOM // *** // 2. Setup AnalyserNode (use global variables to keep these) // Create audio context audioContext = new AudioContext() // Define the default FFT size fftDefault = 2048 // Create analyser analyser = new AnalyserNode( audioContext, { fftSize: fftDefault } ) // Create source node from the "audioElement" ab...

Math: How many perfect squares are divisors of the product 1! • 2! • 3! • 4! • 5! • 6! • 7! • 8! • 9!?

This is from 2003 AMC (American Mathematics Competitions). The problem looks like this: How many perfect squares are divisors of the product 1! • 2! • 3! • 4! • 5! • 6! • 7! • 8! • 9!? 504. 672. 864. 936. 1008. The exclamation after the number means factorial . For instance, 3! = 3 • 2 • 1 = 6. Let Us Break the Sequence The multiplication of that factorial sequence above looks like so: 1 • 1 • 2 • 1 • 2 • 3 • 1 • 2 • 3 • 4 • 1 • 2 • 3 • 4 • 5 • 1 • 2 • 3 • 4 • 5 • 6 • 1 • 2 • 3 • 4 • 5 • 6 • 7 • 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 🤺 I use middle dot (•) as the multiplication operator (usually ×) to make it consistent with the title above. Perfect Square It is a number (prime or composite — in this case, a positive integer) with (positive) even exponent ( 0 is also even ). For example: $2^2$, $6^4$, or $14^0$. Prime It The sequence above can be grouped into only prime numbers (such as in ...

Monkey Raptor V.2

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Math: How many perfect squares are divisors of the product 1! • 2! • 3! • 4! • 5! • 6! • 7! • 8! • 9!?

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