Sentence examples for be a homogeneous element from inspiring English sources

Let a be a homogeneous element of (L(Gamma )).

If a is a homogeneous element from (L') and (a_i ad(a)^{p^k} = 0), ( 1 le i le m), then by Lemma 6 we have (L' ad(a)^{p^k cdot l} = (0)), which finishes the proof of Theorem 2.

It's called the Labour party... Feminism never has, and never should be, a homogeneous movement.

Now let b be an arbitrary homogeneous element from (L(Gamma )).

As long as the individual portfolio accounts are traded efficiently, the group will perform as a homogeneous element.

This is a homogeneous system with tansigmoid transfer function in all the processing elements or neurons.

For future use, note the following variant of the preceding formula: if (Y_1, ldots, Y_k,, X) are any homogeneous elements of (mathfrak {g},), then begin{aligned}[Y_1 cdots Y_k,,, X] = sum _{i=1}^k (-1)^{|X|sum _{j = i+1}^k |Y_j|}, Y_1 cdots Y_{i-1}, [Y_i,, X], Y_{i+1} cdots Y_k, end{aligned} (2.2 which expresses the supercommutator in (mathsf {U}(mathfrak {g})) by the bracket in (mathfrak {g},).

Medicare is a homogeneous system.