It takes the average reader 1 hour and 54 minutes to read An Elementary Recursive Bound for Effective Positivstellensatz and Hilbert’s 17th Problem by Henri Lombardi
Assuming a reading speed of 250 words per minute. Learn more
The authors prove an elementary recursive bound on the degrees for Hilbert's 17th problem. More precisely they express a nonnegative polynomial as a sum of squares of rational functions and obtain as degree estimates for the numerators and denominators the following tower of five exponentials 222d4k where d is the number of variables of the input polynomial. The authors' method is based on the proof of an elementary recursive bound on the degrees for Stengle's Positivstellensatz. More precisely the authors give an algebraic certificate of the emptyness of the realization of a system of sign...
An Elementary Recursive Bound for Effective Positivstellensatz and Hilbert’s 17th Problem by Henri Lombardi is 113 pages long, and a total of 28,589 words.
This makes it 38% the length of the average book. It also has 35% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 2 hours and 36 minutes to read An Elementary Recursive Bound for Effective Positivstellensatz and Hilbert’s 17th Problem aloud.
An Elementary Recursive Bound for Effective Positivstellensatz and Hilbert’s 17th Problem is suitable for students ages 10 and up.
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