Sentence examples for forms of formula from inspiring English sources

To estimate the ratio (frac{P_{text{te}}(x_{text{tr}})}{P_{text{tr}}(x_{text{tr}})}), also called the importance, researchers construct many kinds of forms of formula 2. Sugiyama et al. [11] computed the importance by minimizing the Kullback Leibler divergence between training and test input densities and constructed the prediction model with a series of Gaussian kernel basis functions.

It is a correct form of formula (2.7) from [27] for λ = 1.

Formula (9) is a discrete form of formula (7) with the discrete spatial low-pass filter, the Gaussian kernel function in (10).

In both examples, the approximates tend to the exact value as Of course, for increasing accuracy, instead of taking large values of one must use composite form of formula (2.50).

Instead of giving their infants the best start to life, parents are opting to replace mother's milk – the gold standard in infant nutrition – with inferior substitutes in the form of formula milk, cow's milk, condensed milk, evaporated milk and even coffee, tea and sugar water.

It is clear that these representations of the solutions are a modified form of formulas (4).

Other forms of this formula in the aorist tense were Elen silë omentiemman, or Elen silë omentienwan, "A star is shining upon our meeting".

Finally, design procedures, recommendations and simplified forms of the formulas are proposed, in which the formulas are proved to have an error of approximately 10%.

The language L is defined in turn by specifying its class of formulas, Form, to be the union, over all infinite cardinals λ, of the classes Form.

For a fixed infinite cardinal λ, the language L is defined by specifying its class of formulas, Form, to be the union, over all κ ≥ λ, of the sets Form.

Quantifiers of IFL and those of slash logic with their independence indications easily lead to somewhat messy formulas, whereas DL looks exactly like FO, apart from its greater flexibility in forms of atomic formulas.