0
votes
5answers
84 views

Some examples of applications of Game Theory

I'm approaching my junior year of HS now, and I'm looking for a good science fair project to do. I love mathematics, so I decided to a category of mathematics that can help base logical conclusions to ...
3
votes
3answers
46 views

Confusing -Probabilities.!!

Ok so far what i understand is this lets say...Having to draw a card from 52card-deck its probability is of course 1/52.Now the probability to say that i will keep drawing this same card 10 times of ...
0
votes
0answers
33 views

Contour integration!Help

I have to integrate a function following the route from the point $(0,0,0)$ to $(1,1,1)$ which consists of the 2 curves $C=(t,t^2,0)$ and $K=(1,1,t)$ $0\leq t\leq 1$ .Is it right to take the 2 ...
0
votes
2answers
280 views

Binomial Theorem Practical Problem

I have been studying the 'Binomial Series', Chapter 16, Pg.125 within the Engineering Mathematics Book by John Bird. After completing this section I have attempted to complete the exercises for ...
4
votes
1answer
41 views

Proving that $Hom_G (V,W)$ is 1-dimensional when $V,W$ are irreducible

Question: Let $G$ be a group. For any two representations $V,V'$ of $G$ over $\mathbb C$, let $Hom_G (V,V')$ denote the space of all linear maps $h: V\rightarrow V'$ such that $h\rho'_g = \rho_g ...
1
vote
1answer
42 views

Show that there can be no trail in $G$ that contains all edges.

Let $G=(V,E)$ be a graph. Assume that $G$ contains at least three vertices with an odd degree. Show that there can be no trail in $G$ that contains all edges. First I checked the definition of a ...
3
votes
1answer
263 views

Two sets can be separated by a hyperplane iff their convex hulls do not intersect

So I am supposed to prove that two sets of points in $\mathbb{R}^n$ are linearly separable in an n-dimensional space if and only if their convex hulls do not intersect. I understand the concept ...
1
vote
1answer
102 views

prove normality of famlity of analytic functions

I already proved normality for meromorphic functions that omit 3 values. I'm trying now to prove normality of family of analytic functions that omit two values. Is there any way to deduce any one of ...
1
vote
2answers
226 views

Need advice. How relearn what Ive forgotten?

The last time I studied mathematics and algebra was six years ago. I've since forgotten everything except quadratic equations, trigonometric functions and other things at the same level. Now I want to ...