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Relationism, as this view of the nature of space is called, asserts that space is not an independently existing thing but merely a mathematical representation of the infinity of different spatial relations that particles may have to each other.
But some experts argue that the connection is merely a mathematical analogy.
The notion of general covariance has been the subject of a protracted dispute that extends to the earliest years of general relativity, when Kretschmann argued that the requirement of general covariance was merely a mathematical condition with no physical content.
Using three data sets, the present paper examines whether these theory based conditions and questions regarding the application of LCMNB based classifiers have any practical use or are just merely a mathematical exercise and curiosity.
Here the crucial point is that we hypothesize the topology of the financial networks is a reflection of the proper functional behavior of the stock market, rather than merely a mathematical auxiliary function.
These findings, taken together, suggest that our proposed reclassification is not merely a mathematical model function; rather it is tracking real underlying molecular sarcoma "phenotypes" based on tissue differentiation lines.
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Cost-effectiveness analyses merely provide a mathematical projection to better understand the key factors that affect outcomes.
The methods section merely mentions "a mathematical model" and the supplementary file gives an equation involving three parameters, but it is not clear how the equation was derived or what the parameters represent.
One can note that Hill function is not an appropriate qualitative model for the curves obtained, as slopes at origin are non-zero, but in our case it merely serves as a mathematical support for EC50 estimation.
The courts regarded software as merely a collection of mathematical algorithms, tiny revelations of nature's secrets -- not as an invention, and thus not patentable.
Papers which merely apply known mathematical techniques, present algorithms without a mathematical analysis or only describe simulation studies are usually not published.
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