sphere with radius m we define some constants then with probability 1 minus p the number of random patterns that can be stored and stored in the sense of having these spheres around them so that you can retrieve them accurately or at least you can retrieve something that's close to them is is bounded lower bounded by this quantity right here so there's the square root of p there is this constant c but then you see that d is in the exponent right here so that means it's exponential in the number of dimensions