Sentence examples for a single root in from inspiring English sources

From the preceding three steps, it can be concluded that h(x) has only a single root in the interval [2,N] where s c  ≥ 1 and s i + s s  ≥ 1.

The function h is continuous on the closed interval [2,N. According to the intermediate value theorem[30], if h(2)h(N) < 0 and h is a strictly monotonic function, h has only a single root in the interval.

(1996), we observe that the null hypothesis that the series is an (I(2) ) process is rejected at 5%% but not at 1 %.12 Although this result favors a single root in output, we retain the flexible specification of (1) to (5) as it is more general and does not generate an over-identification of the models, as is explained in the next section (see, in particular, Sect. 4.4).

We addressed the differences between these alternative rooting options in [ 11] and concluded that it is possible for them to converge on a single root in the gram-negative bacteria.

The derivation is a bit more involved, but after some calculus it can be shown that this polynomial has a single root located in (0,1): delta_{2} = left{ begin{aligned} &frac{beta_{2} - 4beta_{3} + sqrt{beta_{2}(beta_{2} + 8beta_{3})}}{4 beta_{2} - beta_{3})},quadtext{if}} beta_{2} neq beta_{3} &{textstylefrac{2}{3}}, qquadqquadqquadqquadqquadqquadtext{otherwise} end{aligned}right.

The bounding rational cubics can achieve an approximation order of 7 and the corresponding convergence rate for finding a single root is also 7. In addition, differently from the traditional cubic clipping method solving the two bounding polynomials in O(n2), the new method directly constructs the two rational cubics in O(n) which can be used for bounding f(t) in many cases.

A single root tip was transferred in a drop of 45% acetic acid onto a clean slide before squashing.

In such accidents, a single root cause may be traced back in the cause-effect chain, but it is not enough for preventing similar accidents in the future.

A high proportion of the OTUs (80.4%) were detected in a single root system only, while 9.4% and 3.6% were detected in two and three root systems, respectively.

It is triangular in shape, supported by a single root, and shows three main cusps, in addition to various crests.

This 'trick' was like grafting six tillers onto a single root system, which was growing in very rich, loose soil.