Why is $1/i$ equal to $-i$? - Mathematics Stack Exchange
2015年5月11日 · There are multiple ways of writing out a given complex number, or a number in general. Usually we reduce things to the "simplest" terms for display -- saying $0$ is a lot …
What is the value of $1^i$? - Mathematics Stack Exchange
2010年8月30日 · It is true that there are multiple functions which provide inverses for restrictions of the exponential function; but it is not true that "$1^i=1$ and also $1^i=\mathrm e^{-2\pi}$". …
If $A A^{-1} = I$, does that automatically imply $A^{-1} A = I$?
2020年3月30日 · We are basically asking that what transformation is required to get back to the Identity transformation whose basis vectors are i ^ (1,0) and j ^ (0,1). Transformation A will do …
complex analysis - Find all the values of $ (1+i)^ { (1-i ...
The question says to find all the values of $(1+i)^{(1-i)}$ I have trouble figuring out firstly, exactly what values are being looked for. I can toy around with the equation a bit to try to make i...
I have learned that 1/0 is infinity, why isn't it minus infinity?
The place where you typically see $1 {\color{red}/} 0 = \infty$ is when doing arithmetic in the projective line.
What do Subscripted numbers in an equation mean?
Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their …
summation - The idea behind the sum of powers of 2
2016年10月29日 · I know that the sum of powers of $2$ is $2^{n+1}-1$, and I know the mathematical induction proof. But does anyone know how $2^{n+1}-1$ comes up in the first …
Describe all the complex numbers $z$ for which $(iz − 1 )/(z − i)
2014年11月17日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
How is #e^(ipi)= -1# ? and what is #e^(ipi/4)#? - Socratic
2018年3月26日 · How is #e^(ipi)= -1# ? and what is #e^(ipi/4)#? Precalculus. 1 Answer
How can I calculate freezing point depression of Water?
2014年5月2日 · You will need to use the equation: ΔTf = Kf mi ΔTf = how much the freezing point is lowered Kf = freezing point depression constant of water (-1.86°C/m) m = the molality of the …