Sentence examples for given starting point from inspiring English sources

The most commonly given starting point for the Middle Ages is 476, first used by Bruni.

A given starting point, that is a given initial diagenesis model, is randomly generated (Fig. 4b).

One area of potential tension between product and engineering is that engineering problems often have a more deterministic outcome, meaning that engineering problems are more likely to produce the same output from a given starting point.

A more complex approach is also possible: if there is a very regular flow from a given starting point to a given destination, the carrier can synchronise the movements of several drivers and vehicles so that each vehicle is always on the move and each driver is at the wheel for the regulation time.

For any given starting point (x_{0}in R^{n}), an iterative sequence ({ x_{k}}) is generated by the following form: x_{k+1}=x_{k}+alpha_{k} d_{k}, (3) where (alpha_{k}) is a step-length obtained by some line search, and (d_{k}) is a search direction generated by d_{k}= textstylebegin{cases} -g_{k}, &text{if }k=0, -g_{k}+beta_{k} d_{k-1}, &text{if }kgeq1, end{cases} (4) where (g_{k}=g(x_{k})).

As the net is iterated, its state will converge from a given starting point toward a stable attractor that sits at the bottom of the basin of attraction in which the initial state is located [6], [13].

Then one can investigate the way economics might approach and reach these steady-state growth paths from given starting points.

We want to find a control function v t), which steers (3.3) from the given start point z(t s) = z s0 to the given final point z(t f ) = z f0.

Since the transformation is already known, for the given start point (2.31) and final point (2.32) we can calculate corresponding terminal points expressed in the new coordinates, i.e., and.

The challenges can range from distance: Pilots try to venture as far from a given start point as possible; courses: They must hit a series of predetermined spatial targets through the use of GPS; and most recently "stunt" flying: Expert pilots perform stomach-turning aerial acrobatics.

DRISEE assumes that prior to sequencing, over-amplification from a given start point in the template leads to formation of ADRs, and that sequencing error, not naturally occurring sequence diversity, accounts for sequence variation within an ADR bin.