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3) Changing the question from finding sets with a given property to finding the lower bound of the largest number in a set with a given property and number of elements of such a set.
Suppose that a mathematician assumes or somehow concludes that there is a natural number with a given property P.
Note that for some problems to count the number of graphs with a given property is harder than to determine if there exists a graph that satisfies such a property.
Rich Boyle, general partner at Canaan Partners said that others in the space have been charging "regardless of propensity to close or the fit with a given property, which was unsatisfactory to all and wasted a lot of time and money on both sides".
Algorithms where humans are viewed as data processors have been explored for finding the maximum [14], filtering [15] and for finding a subset of items with a given property among a given unstructured collection [16], taking into consideration the need to optimise cost and efficiency at the same time.
This indicates that the parameter region of models with a given property (like chaoticity) is highly complex.
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In model checking one uses algorithmic techniques to establish the correctness of the design with respect to a given property.
Here we uncover a universal behavior of the way in which elements of a system are distributed according to their rank with respect to a given property, valid for the full range of values, regardless of whether or not a power law has previously been suggested.
This provides flexibility to optimize RS, CS and DS blends with tailor-made of a given property that suit particular recommendations.
However, a more robust and easy-to-automate approach to identify structure/property inconsistencies starts from the hierarchical clusters, and compares the structural variability within each cluster (sigma _D) (Eq. 8) with the variance of a given property, in this case energy, (sigma _E).
However, their optimum formulations require the help of methods of experimental design to obtain an appropriate performance for a given property with the least experimental effort.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com