Sentence examples for the constant one from inspiring English sources

In other words, (mathsf {B}_infty ) consists of functions of the form begin{aligned} f(x_0x_1cdots )=y_{i_0}(x_0 y_{i_1}(x_1)cdots, end{aligned}where all but a finite number of factors on the right-hand side are equal to the constant one function.

The third is a periodic collection of 'droplet' (compactly supported) steady-states having lower energy than either the positive steady-state or the constant one.

Let (mathsf {B}) be a basis of the (Bbbk )-vector space (Bbbk ^X) such that the constant one function (mathbf {1}) belongs to (mathsf {B}).

When l is the constant one sequence, the resulting l-Grigorchuk subshift is intimately related to Lysenok group presentation of Grigorchuk's infinite 2-group G.

The proof of the following theorem is a generalisation of that given in [20, 21], where the case when l is the constant one sequence is considered.

Note that the Grigorchuk subshift is an l-Grigorchuk subshift with l equal to the constant one sequence, namely (l = (1, 1, 1, dots )).

Just as interesting as the constant one-upmanship of Rome's artists is the fact that the city was newly flush with sacred and secular capital.

The constant one-upsmanship inherent in the weirder-than-weird world of Wii accessories and software will never, ever, ever end.

By having a graded system where different chemicals can be treated depending on the danger they pose to the consumer, it could bring an end to the constant one-upmanship of legal high producers trying to continually make stronger drugs, using newer combinations of chemicals.

In these conditions, the visual stimulus was presented for 200 ms in the middle of the cross-fading sound (lateral-shift condition) or the constant (one-sided condition) sound with 200 ms of ISI (Figure 1B).

And they've added a "Keep Sync'd" feature that, as the name implies, maintains a constant one or two-way syncronization with del.icio.us.icio.us