First of all thank you for cleaning up my messages I am new to this and have already learnt a lot from you and about you Second I reverted to VAS is based on Budan s theorem but I still disagree with you Here are the reasons why A Sturm himself said m appuyant sur by relying upon and not having been inspired by B In Greek to rely upon is and there you can see the word which means base I also leave it up to you to decide the wording for Sturm s method and Fourier s theorem I simply can not accept the word inspiration reminds me of religion