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end{aligned} (42 The graphical representation of the quantity (Delta delta _{t}) as a function of (delta _{t}) appears in Fig. 1.
This paper identifies new bases for random variables through linear mappings such that the representation of the quantity of interest is more sparse with new basis functions associated with the new random variables.
The basic idea is as follows: First, the surface is defined as a collection of neighboring triangles; second, a numerical representation of the quantity of interest is associated with each triangle and finally the patches that are most highly correlated with the function of the structure are defined.
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In addition, recent studies (discussed further below) have suggested that dyscalculic children show numerical deficits at an even lower level, that of the representation of quantity and/or the ability to link quantity to symbolic representations of number.
The first method is based on transport equations, where a continuous representation of these quantities are calculated.
The second method is based on Markov matrices, where a discrete representation of these quantities are calculated.
This "expected value method" (EVM) is designed to treat asymmetric uncertainties and has distinct advantages over other methods of averaging, including giving a more realistic uncertainty, being robust to outliers and consistent under various representations of the same quantity.
Our PAGE analyses support what is likely to be the routine under-representation of the true quantity and metabolic complexity of inositol pyrophosphates and their potential signalling roles in biology.
For these sampling machines to provide an accurate representation of the whole lot, the quantity of a single sample, the total number of samples, and the kind of samples taken are of decisive importance.
Due to the vanishing moment property of wavelets, we can achieve sparse representations for the quantities involved.
In this context, it has been claimed that the representation of number magnitude is notation invariant, meaning that independent of the input format the same representation of numerical quantity is activated whenever one encounters any kind of numerical information (e.g., symbolic digits, dot patterns, etc. see [ 15, 16]).
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