mathswithmuza on Instagram: "A sum and an integral both represent ways of adding things up, but they operate in different settings. A sum deals with discrete quantities — it adds up separate, countable items such as numbers in a list or terms in a sequence. When you sum something, you are essentially moving in steps, taking one term after another and combining them. For example, if you wanted to know the total of the first ten natural numbers, you would compute 1 + 2 + 3 + … + 10. Each term is d

MathxMatrix on Instagram: "In the block stacking problem, each block is shifted by a fraction of its length relative to the block below it. The maximum overhang you can achieve with n blocks is proportional to the sum of the harmonic series. This means that to achieve a large overhang, you need a large number of blocks, and the overhang increases more slowly as you add more blocks. The shape of the curve representing the overhang as a function of the number of blocks would resemble a logarithmic