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Comparison of the two experiments suggests that although mosquitofish are capable of using both number and continuous extent, they spontaneously use the latter to estimate quantities.
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As the elements of the stimuli were randomly selected, during both the pre-training and the training phase, fish could learn to distinguish between 2 quantities by using both number and non-numerical continuous variables that co-vary with number.
Categorical variables were expressed as an absolute number and continuous variables were expressed as median or mean ± SD and range.
Categorical variables are shown as rate (number) and continuous values as mean (SEM).
Categorical variables are expressed as number and continuous variables are expressed as the mean ± standard deviation.
Categorical data were described as the number and continuous data as mean ± SE.
Qualitative variables are presented as number and continuous variables as mean (SD) or median (IQR) when their distribution was skewed.
Categorical variables are presented as number and continuous variables as mean (SD) when normally distributed or median (IQR) when not.
Although the mean-value theorem seemed obvious geometrically, proving the result without appeal to diagrams involved a deep examination of the properties of real numbers and continuous functions.
There exist real numbers and continuous functions such that.
The other has large numbers and continuous main states, and complex and diverse patterns prevail.
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