Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

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g is a vector function and g(p)>=0 or g(p)<=0.

**razor**- Replies: 2

we have function g,in Real numbers dimension m and value p (with p=(p1,...,pm)) is positive.

For at least one p,that g(p)>zero or equal to zero or g(p)<zero or equal to zero,is true.Also,p*g(p)=0 for p positive.

Then,proof that g(p)=0.

**razor**- Replies: 1

We have the real positive(only) numbers space of dimension two.

C={(x,y) belong to RxR and x+2*y<=2) and f(x,y)=min{x,y}.What is the minimum,x or y?

**razor**- Replies: 1

We have the real positive(only) numbers space of dimension n.We have also a relation of two members(sorry),continuous,absoletuly monotonic(only >),cursive,in this space.

Also x,y are arrays and x>y in this space and 0<a<1.

How can we proove that a*x+(1-a)*y>y ?. (*: multiplication)

(G. Aliprantis, D. Brown and O. Burhinshaw, Existence and Optimality of Competitive Equilibrium, Springer-Verlag, 1990.)

sorry for my english.

**razor**- Replies: 7

we have a pentagram.How we can with two lines create nine not covertly triangles?

**razor**- Replies: 1

terms of sequence 10,2,1,9,6,...

what are the others terms?

do not exist other data.

this is a solution and why?

10,2,1,9,6,7,0,8,5,4,3

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