Recent content by nike5

Just think about how the square root function would be defined in relation to the function x^2. It can be related to the intermediate value theorem and some other properties of the inverses of functions.

How is the square root defined (is it a function) and how does it exist

I believe the net force acting on the tin of corned beef must be 2.3 Kg x 5.4 m / s2= 12.42 N. Set this equal to the other forces acting on the tin.

I don't know how related this is to financial analysis, but can anyone offer some insight into what mathematicians do in finance.

IMO, you should just do something you have a passion for. Why do you want to attend this university in the first place?

ahhhh I feel like an idiot for not seeing that. Proof. Let x and y be arbitrary real numbers. Suppose x and y do not both equal 0. Then x2 + xy + y2 = (x2 + xy) + y2 = ( x + (y / 2))2 + (3y2) / 4. Therefore, ( x + (y / 2))2 \geq 0 and (3y2) / 4 \geq 0 since the square of any real number...

Homework Statement Prove that if x and y are not both 0 then x2 + xy + y2 > 0 Homework Equations The Attempt at a Solution Proof. Let x and y be arbitrary real numbers. Suppose x and y are not both zero. We will consider three cases. Case 1. x = y. Then x2 + xy + y2 = x2 + x2 +...

Thanks for the help Tim:smile:

Proof take 2 Theorem. max (x, y) = (x + y + |y - x|) / 2 Proof. Let x and y be arbitrary real numbers. We will consider three cases. Case 1. x = y. Then max ( x, y) = x = y = ( x + y) / 2 = [(x + y) / 2] + 0 = [(x + y) / 2] + ( 0 = y-x) = [(x + y) / 2] + ( |y - x|) = [(x + y) / 2] + ( |y -...

Homework Statement The maximum of 2 numbers x and y is denoted by max(x,y) and the minimum of 2 numbers x and y is denoted by min(x,y). Prove that max(x,y) = (x + y + l y - x l) / 2 and min(x,y) = (x + y - ly - xl ) / 2. Homework Equations The Attempt at a Solution Theorem...

I \neq \oslash is what I meant

Yes sry about the horrible looking symbols

Homework Statement Suppose {Ai| i \in I} is an indexed family of sets and I does equal an empty set. Prove that \bigcap i \in I A[SIZE="1"]i \in \bigcap i\in I P(A[SIZE="1"]i ) and P(Ai) is the power set of Ai Homework Equations none The Attempt at a Solution Suppose x \in...