3 ms·
At 2:37, right after finishing explaining adders and multipliers on the line it started going way too quick like where did e^x and some these infinite sums come
by somewhat_slow 10y ago
At 2:37, right after finishing explaining adders and multipliers on the line it started going way too quick like where did e^x and some these infinite sums come from???
- gizmo686 10y agoHe introduces e^x as a way of converting adders into multipliers. The infinite sum is not important. I believe he is showing it purely as a visual tool to indicate that e^x is just "some function". More specifically, based on the video, the important feature for a adder -> multiplier converter to have is that f(x+y) = f(x)f(y). However, many functions satisfy this requirement. He states (without justification [0]) that e^x is the most "natural" choice for such a function, and provides the infinite sum as a visual aid to show that it is just some function. [0] Rather, justification is provided by reference to another video.