Sentence examples for define the sets of from inspiring English sources

Therefore, we also define the sets of all lower and all higher clocks of C by: lower ( C ) : = { c ∈ C | c ≺ C } higher ( C ) : = { c ∈ C | c ≻ C }.

We define the sets of incoming and outgoing edges of node v, denoted by In (v) and Out (v), respectively, as follows: In ( v ) = { e : e ∈ E, head ( e ) = v }, (1) Out ( v ) = { e : e ∈ E, tail ( e ) = v }. (2).

For each ((x,y in Xtimes Y), define the sets of selections of F, G by S_{F, x,y)}=bigl{ fin L^{1}(J,mathbb{R}):f(t)in F bigl t,x t),y(t),^{c}D ^{gamma}y(t bigr) text{ for a.e.

For the next result, we need the following notation and proposition: for (gamma,Gammainmathbb{C}) and ([ a,b ] ) an interval of real numbers, define the sets of complex-valued functions [9] bar{U}_{[a,b] }( gamma,Gamma) := bigl{ h:[a,b] rightarrowmathbb {C}| operatorname{Re} bigl[ bigl( Gamma-h( t) bigr) bigl( overline{h( t)}- bar{gamma}bigr) bigr] geq 0text{ for a.e.

We can also define the sets of error location numbers, i.e., it consists of the elements ( β i ϵ i, 1, β i ϵ i, 2, ⋯, β i ϵ i, r ′ ) Open image in new window, where ϵ i,j are any positive integers, for 1 ≤ i ≤ t and 1 ≤ j ≤ r ′.

Although the distribution has a small shift to higher values; we use the same bounds to define the sets of druggable proteins.

It does not define the set of claims upon which suits can be based.

To get a "fairer" idea of the probabilities, however, we have to define the set of events whose likelihood we're trying to calculate.

We also define the set of curtailable appliances(C_{k}).

We define the set of all positively regressive functions by.

We also define the set of channels as C.