…the modes for vibration of a drum head or the way heat moves inside of a rod and the different kinds of solutions, Bessel functions and so on. It's sort of what they call sometimes mathematical physics. Someone says, yes, like Morse and Feshback. I said,…

…is oscillating up and down between the plates. It varies with distance and becomes zero at the edge. You say, oh yes, it's a Bessel function. No, it's not a Bessel function. A Bessel function is for a round thing, like a cylinder, cant, But if it's a…

…plates. It varies with distance and becomes zero at the edge. You say, oh yes, it's a Bessel function. No, it's not a Bessel function. A Bessel function is for a round thing, like a cylinder, cant, But if it's a rectangular thing, it's even easier. It's…

…with distance and becomes zero at the edge. You say, oh yes, it's a Bessel function. No, it's not a Bessel function. A Bessel function is for a round thing, like a cylinder, cant, But if it's a rectangular thing, it's even easier. It's just a sine…

…So it's a very important function, and it's been invented before. In fact, the guy who got his name on it was Bessel, and this is called Bessel's function. The nought here means this, that Bessel invented several functions, and this is the first of…

…fact, the guy who got his name on it was Bessel, and this is called Bessel's function. The nought here means this, that Bessel invented several functions, and this is the first of them. If you want more precision, I'd just make a remark in case you're…

…solution looks like this, that the electric field goes up and down, but it varies in space as the first arch of the Bessel function. Elegant, huh? We're talking about the first arch of the vessel. And this, then, this is the behavior of the electric…

…j. This is j0 of the square root of x, this one. I should have mentioned that. I forgot. Yeah, this is the 0-th order Bessel function of the square root of the height from the bottom is the shape of this one. I forgot to mention that. I just wanted…

…to mention that. I just wanted to mention that. I should have mentioned it. I'm sorry. I think that the plate is not a Bessel function, but I'm not sure. But that's a high mode. Yeah. Maybe for this kind of, no, it's certainly not a Bessel. It's a…

…a Bessel function, but I'm not sure. But that's a high mode. Yeah. Maybe for this kind of, no, it's certainly not a Bessel. It's a combination of the other kind of Bessel functions that there are. Oh, look, he's getting eight. Yeah. Look at that expert,…

…a high mode. Yeah. Maybe for this kind of, no, it's certainly not a Bessel. It's a combination of the other kind of Bessel functions that there are. Oh, look, he's getting eight. Yeah. Look at that expert, will you? Oh, we got four before. I'll show…

…it struck me, therefore, if that's already true at the most elementary level, that when we learn the mathematics and the Bessel functions and the exponentials and the electric fields and all these things, that the imageries and method by which we're storing…