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 cleaner than saying $1-1$ for example.

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 $1^i=\mathrm e^{-2\pi}$". At best, this is shorthand for the position that the absence of a 'distinguished' inverse function for $\exp(x)$ entails that there is no meaningful convention for ...

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 the job, since in this case after applying the A transformation we will reach to the identity transformation. That's why AA-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...

The place where you typically see $1 {\color{red}/} 0 = \infty$ is when doing arithmetic in the projective line.

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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 place. For example, sum of n numbers is ...

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 developers to learn, share their knowledge, and build their careers.

2018年3月26日 · How is #e^(ipi)= -1# ? and what is #e^(ipi/4)#? Precalculus. 1 Answer

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 solution (mol solute/kg solvent) i = the number of dissolved particles the solute produces The i for any molecular compound is 1 For ionic compounds, you'll need to know how many ions make …