Question about uniform integrability of a collection of measurable fucntions

Question

I am reading uniform integrability and it is defined as below
Let $(\Omega,\Sigma,\nu)$ be a finite measurable space and $F$=$f_{\alpha}\colon\Omega \to R$ (measurable) where $\alpha\in I$} then $F$ is said to be uniformly integrable if the following two conditions satisfies
(1) $sup_\alpha\int_{\Omega}|f|d\nu<\infty$
(2) $\lim_{\nu(A)\to0}\int_{A}|f|d\nu$=0
So I understood these two conditions and also I generated some examples to understand them but one thing I want to know besides this is "What is the meaning of Uniform integrability in simple language" like if I choose my $\Omega=R$ then I know we can visualize it graphically somehow but I am finding it difficult to visualize. If someone please help me to visualize this definition that will be a great help.Thanks