2014年3月8日 · Exponentiation is a correspondence between addition and multiplication. Think of a number line, with 0 0 in the "middle", and tick marks at each integer. Moving a certain distance …

2017年11月3日 · I don't think you can intuitively understand complex exponentiation as a generalization of real exponentiation without first synthesizing an understanding of …

2023年12月18日 · I was wondering why addition has one inverse (subtraction), multiplication has one inverse (division), but exponentiation has two (radication and logarithm). After a bit of …

Take the following: (2)^3 = 8 I understand that this is 2 * 2 * 2 = 8 My question is how do I reverse engineer this if I do not know the power like this: (2)^x = 8 What is the value of x? x could

2014年10月3日 · You know, like addition is the inverse operation of subtraction, vice versa, multiplication is the inverse of division, vice versa , square is the inverse of square root, vice …

2018年5月21日 · so to extend the definition of exponentiation to keep it consistent with the proved theorems b0 = 1 b 0 = 1 and b−n = 1 bn b n = 1 b n are defined n n positive integer. How …

2017年4月25日 · The definition of the exponential with integer exponents is straightforward to define: xn = x ⋅ … ⋅ x n−times x n = x x ⏟ n times. These days I've been thinking about the formal …

2024年1月27日 · I'm trying to approximate the sum of $N$ exponential functions as one function. Is it possible to do so, i.e. find function $f$ and constants $a$, $b$, and $c$ such ...

2015年11月20日 · The original question seems to be asking the same thing (i.e. if exponentiation is the name of the operation, what is the name of the output). Having said that, one could easily …

I saw here in math.stackexchange some proofs of how the log and exp functions are related to each other, but I want to get an intuition for that. In layman terms, how would you explain the …