Examples of using Summation method in English and their translations into Russian
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Summation Method.
The percentage of components classified as"Acute" or"Chronic" will feed straight into the summation method.
Summation Method.
A generalized definition of the"sum" of a divergent series is called a summation method or summability method. .
Details of the summation method are described in 2.4.4.6.1 to 2.4.4.6.4.
The calculated toxicity shall be used to assign that portion of the mixture an acute hazard category which is then subsequently used in applying the summation method;
A summation method that is linear and stable cannot sum the series 1+ 2+ 3+⋯ to any finite value.
The calculated toxicity may be used to assign that portion of the mixture an acute hazard category which is then subsequently used in applying the summation method;
In this paper some summation methods are applied to Fourier-Vilenkin series in so called symmetric spaces.
Therefore, in order to classify a mixture containing Acute/Chronic 1 components,the classifier needs to be informed of the value of the M factor in order to apply the summation method.
Many summation methods are used in mathematics to assign numerical values even to a divergent series.
The star-shaped summability domains of power series obtained by these new summation methods enabled him to get results extending the applications of Borel summation methods in function theory.
Therefore, in order to classify a mixture containing acute I and/or chronic I components,the classifier needs to be informed of the value of the M factor in order to apply the summation method.
He defined new summation methods and used them to characterize properties of the sum of power series and its analytic continuation.
Category acute 1 ingredients with toxicities well below 1 mg/l may influence the toxicity of the mixture andare given increased weight in applying the summation method.
When adequate acute orchronic data for the mixture as a whole are lacking,"bridging principles" or"summation method" should be applied see paragraphs 4.1.3.4 and 4.1.3.5 and decision logic 4.1.5.2.2.
NOTE 2: When classifying substances as Acute 1 and/or Chronic 1 itis necessary at the same time to indicate an appropriate M factor(see 4.1.3.5.52.4.4.6.4) to apply the summation method.
The computational kernel of the serial-parallel summation method can be compiled either of elementary pairwise additions or in a recursive manner, that is, as a set of implementations of the pairwise summation for shorter arrays.
Mixtures with highly toxic components Acute Category 1 components with toxicities well below 1 mg/l may influence the toxicity of the mixture andshould be given increased weight in applying the summation method. .
When adequate toxicity data are available for more than one ingredient in the mixture, the combined toxicity of those ingredients may be calculated using the following additivity formula, and the calculated toxicity may be used to assign that portion of the mixture an acute hazard category,which is then subsequently used in applying the summation method.
When adequate toxicity data are available for more than one component in the mixture, the combined toxicity of those components may be calculated using the following additivity formula, and the calculated toxicity may be used to assign that portion of the mixture an acute hazard category,which is then subsequently used in applying the summation method.
Acute 1 or Chronic 1 ingredients with acute toxicities well below 1 mg/l and/or chronic toxicities well below 0.1 mg/l(if non-rapidly degradable) and 0.01 mg/l(if rapidly degradable) may influence the toxicity of the mixture andshould be given increased weight in applying the summation method.
For particulate calculations use the multiple filter method and for summation calculations the Nmode shall be set to 1 and a weighting factor of 1 shall be used.
A method for constructing modified codes with summation of weighted transitions between bits in data vectors occupying neighboring positions is proposed.
As already noted in the description of the computational kernel,the basic part of the method is compiled of recursive calls of the summation procedure for shorter arrays.
More advanced methods are required, such as zeta function regularization or Ramanujan summation.
For finding complex roots additionally used the method of summation of divergent continued fractions.
For that we developed some new computational methods with fancy names like"Twin Mode Rotation" and"Adaptive Modal Summation".