masteroot

I liked this girl but never told anyone about it since I wanted to make sure if she felt the same way about me. After a while my best friend told me that he really liked her. Valuing my friendship more, I decided to help him. Recently I talked with her and she explained that she wasn't attracted to my best friend, and she half-seriously started talking about what would happen if she dated me. Her telling me that and also other actions lead me to really believe that she is into me.

I'm really concerned about my best friend, I don't want him to think that I screwed him over. I have actually tried my best to make it work for him. On the other hand, I also know that this girl could be the one, and I have never felt this way about a women before. Any suggestions?

This is what the theorem states: "No three positive integers a, b, and c can satisfy the equation a^p + b^p = c^p, for any integer values of p >2"

My method:

- Assume that the power is greater than 2, therefore we will have p=n+2...

a^(n+2) + b^(n+2) = c^(n+2) -- (A)

(a^n * a^2) + (b^n * b^2) = (c^n * c^2)

- Divide by (a^n * b^n * c^n)...

(a^2)/(b^n * c^n) + (b^2)/(a^n * c^n) = (c^2)/(a^n * b^n)

- Denote each denominator as a coefficient..

x * a^2 + y * b^2 = z * c^2

- We now have Pythagorean sum with coefficients, therefore we have 2 cases, the coefficients must be equal to 1 or must be equal to each other (i.e. x=y=z)

Case 1 (x=y=z)...

(c*b)^n = (a*c)^n = (a*b)^n

- After some simple math, we are going to end up with a=b=c and if we substitute in FLT equation:

a^n + a^n = a^n

2a^n = a^n

2=1 !!

- This cannot be true, therefore x=y=z cannot be true

Case 2 (x = y = z = 1)

If you do the math, the only way that can be true is if n = 0, therefore p=2+0=2

In conclusion p is not greater than 2.

Hopefully this was clear enough, it is easier to write it on paper than type it on here.

I recommend writing it down on paper to better follow it.

I was playing around with an old cell phone (motorola L7) and dismantled the screen to check out what the dark liquid was. Is that liquid hazardous?

TV screen doesn't display anything, it's gone, but there still is sound. I tried troubleshooting it, but think its a hardware fault. Any clue as to what it may be?

Series ( n / (2e)^2 ) < Series ( n / n^2 ) <= Series ( 1 / n)

So basically original series is convergent since it is smaller than 1/n, by comparison test.

Does this make sense? And can "1 / n" be considered as a boundary for convergence and divergence?

How do I read data from a text file which contains numbers spaced from each other, where each number represents a different variable. Let's say I have a text file that contains the following numbers:

60 180 32

83 179 25

The first column represents weight (kg), 2nd column is height (cm), and third column represents age.

How do I read the data from the file in such manner that the first column only is assigned to the weight variable, and not the whole data which would skew the results.

fscanf would read all numbers as weight, so I don't think it will work.

A weight of 50.0 N is suspended from a spring that has a force constant of 210 N/m. The system is undamped and is subjected to a harmonic driving force of frequency 10.0 Hz, resulting in a forced-motion amplitude of 5.00 cm. Determine the maximum value of the driving force.