Sentence examples for minimum is obtained from inspiring English sources

By using the variational method, the negative global minimum is obtained and is the unique positive solution to this problem.

A 'local' minimum is obtained if moving a particular measurement point from one cluster to another does not reduce the overall within-cluster sum of squares.

Based on the assumption of theorem, the minimum is obtained, note (F overline{x} cap K) is a nonempty compact set and p is lower semicontinuous in the first variable.

This process iterates until a total of ni constant matrices are considered, where ni denotes the number of iterations, or a constant matrix with an N(C) value greater than the minimum is obtained.

Given the sequences of real numbers ({x_{1}, x_{2}, ldots, x_{M} }), ({y_{1}, y_{2}, ldots, y_{M} } ), then the maximum of their crossed sum is obtained when both are paired in the same (increasing or decreasing) order, while the minimum is obtained when both are paired in inverse order.

Then the minimum is obtained for (t=T), and the above bound becomes of the form P^{mathcal{F}}(S_{n}geqepsilon)leq g(n)e^{-frac {Tepsilon}{2}} quad mbox{a.s.} (6) We see that (X_{1},X_{2},ldots,X_{n}) satisfy condition (4) for (-Tleq tleq0) for some positive (mathcal{F} -measurable random variables T and ({c_{n},ninmathbb{N}}).

Thus, according with M06-2X/6-311++G d,p) only one potential energy hypersurface minimum was obtained (See Figure 2).

The maximum IWUE was obtained with the SSD (2.12 kg m−3) and the minimum was obtained with the FI method (1.43 kg m−3).

The maximum total phenol content in locally grown lemon was found in methanol extract and the minimum was obtained in butanol extract.

A variational statement of the problem is made and the necessary conditions for a minimum are obtained as a system of non-linear equations which are solved numerically.

Imputations were repeated using different initial missing value estimates to provide assurance that a global minimum was obtained.