Sentence examples for of less dimensions from inspiring English sources

Firstly, this optimality condition permits to replace the many-dimensional minimization problem by the sequence of problems of less dimensions, i.e. the optimization problem under investigation, for each discrete time is reduced to minimization of the function of r variables, where r is the dimension of the control vector.

Note that the optimality condition (9) allows one to replace the many-dimensional minimization problem by a sequence of problems of less dimensions, and its application is convenient when its test is performed sequentially with respect to θ: (theta=t_{1}-1,t_{1}-2,ldots,t_{0}) (see Example 1).

They display several know-how options, including formation of query result from the several sources specified by the user, formation of data arrays of higher dimension for an indicator from the set of arrays of less dimension, checking the values of indicators and elimination of errors, recalculation of indicator's values when different units of measurement are used in different sources.

Dimension reduction refers to the process of converting a dataset of high dimensions, into dataset with less dimensions.

It will be rightly taken as evidence of the less attractive dimensions of his personality.

By the Q method we gain the same number of less important (middle level) attribute dimensions for all participants.

The advantage of this two-step strategy comes from the reduction of some less important dimensions at the first step, and consequently the signal in the dataset carried forward to the second step is boosted.

The most advanced chips today contain millions of transistors-each with typical dimensions of less than half a micron.

Ti Ni microtubes are attractive materials for biomedical devices, such as micro-catheters and micro-stents, but it is difficult to fabricate them with dimensions of less than 100 μm by conventional tube-drawing.

Then, a focused Ga+ beam was used to fabricate a La0.7Sr0.3MnO3 nanobridge with dimensions of less than 20 nm.

When I didn't, RulerPhone would be off by as much as three feet in some cases and proved useless when I wanted to measure the dimensions of less linear objects like a chair.