"this townhome complex is the most disgusting place I've ever lived in my entire life. I've been a teacher for 25 years and paid similar about an rent. The first night here I had a roach crawl across my leg. They've been trying to treat them ever cents but just today I had 12 crawl out of the sink. I've had a flood in my kitchen due to a broken water heater, a toilet that ran and ended up costing me over $200 and a water bill that month. I have had rats everywhere. There are wires hanging out all over the place for a little children play. I have the time you come up it smells like weed when you're walking to the door from work. It is just filthy and disgusting and I would not move here again if my life says it on it. I'm trying to get the landlord to let me out of my lease but he's wanting me to pay two months rent in order to do so. I legitimately feel like I'm living in prison between the rats, the mice, the broken toilet in the shower and flood. I'll be there at hell or I'm in prison. Either way I just want out of this lease. They need to fumigate it Tara everything out do something because this is inhumane. I have pictures to prove everything and I guess I'll take out more of my time even though I spent the last eight weeks... Nearly 2 to 3 times a week having to deal with something with this apartmentThis is the most disgusting place of ever lived. Roaches, rats and now even more roaches then when I first moved in two months ago... There has been a flood, toilet running issues which caused my water bill to be $200 and it's just nasty. People throw trash outside I'm a professional person and I should not have to live like that. I'm still asking for my money back... At least to be able to leave what I can find a place to live that is not as gross. This is like living in prison. I have pictures to prove everything and I guess I'll take out more of my time even though I spent the last eight weeks... Nearly 2 to 3 times a week having to deal with something with this apartment. It sounds like I'm going to end up having to sue them because all I want is out of this lease because living here gives me so much anxiety. It is like living in the slums. Do not move here if your life depends on it."
There are infinitely many possible values for $1^i$, corresponding to different branches of the complex logarithm. The confusing point here is that the formula $1^x = 1$ is not part of the definition of complex exponentiation, although it is an immediate consequence of the definition of natural number exponentiation.
While 1/i = i−1 1 / i = i 1 is true (pretty much by definition), if we have a value c c such that c∗i = 1 c ∗ i = 1 then c= i−1 c = i 1. This is because we know that inverses in the complex numbers are unique.
Is there a formal proof for $(-1) \\times (-1) = 1$? It's a fundamental formula not only in arithmetic but also in the whole of math. Is there a proof for it or is it just assumed?
Possible Duplicate: How do I convince someone that $1+1=2$ may not necessarily be true? I once read that some mathematicians provided a very length proof of $1+1=2$. Can you think of some way to
Intending on marking as accepted, because I'm no mathematician and this response makes sense to a commoner. However, I'm still curious why there is 1 way to permute 0 things, instead of 0 ways.
The other interesting thing here is that 1,2,3, etc. appear in order in the list. And you have 2,3,4, etc. terms on the left, 1,2,3, etc. terms on the right. This should let you determine a formula like the one you want. Then prove it by induction.
This is same as AA -1. It means that we first apply the A -1 transformation which will take as to some plane having different basis vectors. If we think what is the inverse of A -1 ? 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).
