Sentence examples for was expanded by using from inspiring English sources

Equation 11 was expanded by using the first-order VTS around an initial value n0 of n, and the mean of the training log-spectrum vector μ Tr = E{y Tr } to obtain the following equation: y Te = y Tr + G ( μ y Tr, n 0, n Tr ) + ∇ y Tr G ( μ y Tr, n 0, n Tr ) ( y Tr - μ y Tr ) + ∇ n G μ y Tr, n 0, n Tr ( n - n 0 ), (12).

Then, the network was expanded by using strict criteria based on GO annotation terminology as described in the Methods section.

Furthermore, our flavonoid food composition database was expanded by using retention factors when no analytical data were provided by cooked food.

Moreover, our food composition database was expanded by using retention factors (except for isoflavones and lignans) (Crozier et al, 1997; U.S.Departament of Agriculture, 2008), developing recipes, and estimating missing values based on similar foods (by botanical family and plant part).

A possibility of the whey utilization would be expanded by using other microorganisms.

The radial deflection of the shell is expanded by using a basis of seven linear modes.

The validation range of the method is expanded by using piecewise lines to fit the exponential function.  .

Applications of active materials can be expanded by using robust, non-mammalian muscle cells, such as those of Manduca sexta.

The forces of the pressure and of the slider-crank mechanism are expanded by using Fourier transformation.

The fundamental solution is expanded into the separable kernel by using the elliptic coordinates and the boundary densities are expanded by using the eigenfunction expansion.

The vision sensor can track seven different colours signatures at once  — a figure that can be expanded by using combinations of colours ('colour codes' — basically sticking one swatch of colour next to a different one to create a combination of two or more colours) if you need to track more than seven different-coloured objects at once.