I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those ...

Description: 👉 Learn how to graph a secant function. To graph a secant function, we start with the cosine graph by first ...

Abstract: In this paper, we provide a matrix that diagonalizes the Laplacian of a path graph over a finite field. By analogy with the fact that the discrete cosine transform matrix diagonalizes the ...

The original version of this story appeared in Quanta Magazine. Much of mathematics is driven by intuition, by a deep-rooted sense of what should be true. But sometimes instinct can lead a ...

// This program outputs sine and cosine waveforms using the hardware DACs // on the C8051F410 microcontroller. The waveforms are output on pins // P0.0/IDA0 and P0.1/IDA1. // The output of the DACs is ...

If you simply understand “woke” as a synonym for “stupid and crazy,” you won’t go far wrong. The latest illustration can be found in the absurd and offensive opening ceremony for the Paris Olympics, ...

Royalty-free licenses let you pay once to use copyrighted images and video clips in personal and commercial projects on an ongoing basis without requiring additional payments each time you use that ...