Mainly Natural Numbers

Description

Which is the smallest integer that can be expressed as a sum of consecutive integers in a given number of ways?

Alternating iterations of the Smarandache function and the Euler phi-function respectively the sum of divisors function. Some light is thrown on loops and invariants resulting from these iterations. An important question is resolved with the amazing involvement of the famous Fermat numbers.

A particularly interesting subject is the Smarandache partial perfect additive sequence, it has a simple definition and a strange behaviour.

Smarandache general continued fractions are treated in great detail and proof is given for the convergence under specified conditions.

Smarandache k-k additive relationships as well as subtractive relationships are treated with some observations on the occurrence of prime twins.

A substantial part is devoted to concatenation and deconcatenation problems. Some divisibilty properties of very large numbers is studied. In particular some questions raised on the Smarandache deconstructive sequence are resolved.





FREE download here:

http://www.gallup.unm.edu/~smarandache/Ibstedt-Book3.pdf

Disclaimer:
Contents of this page are indexed from the Internet. All actions are under your responsability. Email us to report illegal contents or external links and we'll remove them immediately.

Please check the description for download links if any or do a search to find alternative books.

Can't Download?
Please search mirrors if you can't find download links for "Mainly Natural Numbers" in "Description" and someone else may update the links. Check the comments when back to find any updates.

Search Mirrors
Maybe some mirror pages will be helpful, search this book at top of this page or click here to find more info.

1. Ebooks list page : 1466
2. Mathematical Logic with Special Reference to the Natural Numbers
3. Mainly Natural Numbers: A few elementary studies on Smarandache sequences and other number problems
4. Classical Recursion Theory: The Theory of Functions and Sets of Natural Numbers, Vol. 1
5. The Social Life of Numbers: A Quechua Ontology of Numbers and Philosophy of Arithmetic
6. Active Directory By the Numbers: Windows Server 2003
7. History of the Theory of Numbers, Volume III: Quadratic and Higher Forms (History of the Theory of Numbers)
8. The Natural Plaster Book: Earth, Lime and Gypsum Plasters for Natural Homes ( Re Upload )
9. Natural Compounds in Cancer Therapy: Promising Nontoxic Antitumor Agents From Plants & Other Natural
10. Natural Compounds in Cancer Therapy: Promising Nontoxic Antitumor Agents From Plants & Other Natural Sources
11. [share_ebook] Natural Health and natural pills in persian Farsi by andro zhil
12. Natural Compounds in Cancer Therapy: Promising Nontoxic Antitumor Agents From Plants & Other Natural Sources
13. Natural Compounds in Cancer Therapy: Promising Nontoxic Antitumor Agents From Plants & Other Natural Sources
14. History of the Theory of Numbers, Volume I: Divisibility and Primality (History of the Theory of Numbers)
15. Imperfectly Natural Woman: Getting Life Right the Natural Way
16. Natural Computing: 2nd International Workshop on Natural Computing Nagoya, Japan, December 2007, Proceedings