Vector Components and Choosing Epsilon: True or False?

[stauros]

Let: $$\displaystyle{\vec{x}=(x_1,...,x_n)}$$ with $$\displaystyle{x_k>0, \forall 1\le k \le n}$$

Be a vector,then;

Choose $\epsilon$ such that $$\displaystyle{0<\epsilon<x_k, \forall 1\le k \le n}$$.

Is that sentence true or false ?

 

[mXSCNT]

There's no statement that could be true or false, you have just defined some variables. Perhaps you meant to add something to it?

 

[stauros]

There's no statement that could be true or false,

QUOTE]

then the following sentence : 2+3=5 is not true or false