Sentence examples for an ascending sequence from inspiring English sources

Another Roman innovation was the superposed order; when columns adorned several successive stories of a building, they were normally of different orders, in an ascending sequence from heaviest to most slender.

These parameters of each class are arranged by their corresponding scores in an ascending sequence.

Let G be a Lie group which is the union of an ascending sequence G1⊆G2⊆⋯ of Lie groups (all of which may be infinite-dimensional).

Then there exists an ascending sequence ({K_{j}}) of compact pluripolar sets such that (E=cup K_j=cup hat{K}_{j,a}).

Let ({K_{j}}) be an ascending sequence of projectively convex, compact, pluripolar sets such that (E:=cup _{j}K_{j}) is (G_{delta }).

end{aligned} (18)Then ({K_m}) is an ascending sequence of closed sets with (mathbb {P}^{n}=cup _{m=1}^infty K_m).

A collection of subsets of a given set satisfies the ascending chain condition if any ascending sequence becomes constant after a finite number of steps.

Note that conversely well-founded frames are also irreflexive, for if wRw, this gives rise to an infinite ascending sequence wRwRwR….

The ordinal numbers have the following structure: every ordinal number has an immediate successor known as a successor ordinal; and for any infinitely ascending sequence of ordinal numbers, there is a limit ordinal which is greater than all the members of the sequence and which is not the immediate successor of any member of the sequence.

The sets would appear on a computer screen, and the birds would have to peck at them in the correct, ascending sequence to get a reward of food.

While the actual rule was simply "any ascending sequence", the participants had a great deal of difficulty in finding it, often announcing rules that were far more specific, such as "the middle number is the average of the first and last".