New Sum of Powers Log Function

03292021, 04:53 PM
Post: #1




New Sum of Powers Log Function
Hi All,
I just published a new function on my web site. The function is SopLog which is short for “Sum of Powers Logarithm”. The function is defined as SolLogN(S) = x where N is an integer base (number of integers to add), S is the sum of terms, and x is the power to which is integer is raised. This means that: S = sum i^x for i=1 to N The power x is calculated as the root of the following function: S – sum i^x for i=1 to N You can download the article here. The article contains listings for SopLog in Excel VBA, Matlab, Python, C++, HP71B BASIC, Generic legacy Pocket Computer BASIC, HP41C, HP41CX (with and without the Advantage module), HP67/97, and HP15C. The article also shows an empirical relationship between x, S, and N. The SopLog function is good for benchmarking. I leave it to other mathoriented folks to find other uses for SopLog. Enjoy! Namir 

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