Download A set of new Smarandache functions, sequences and by Felice Russo PDF

By Felice Russo

Show description

Read Online or Download A set of new Smarandache functions, sequences and conjectures in number theory PDF

Similar theory books

Flexible Polymer Chains in Elongational Flow: Theory and Experiment

Versatile Polymer Chain Dynamics in Elongational circulation fulfills a necessity via featuring an important advances within the box of versatile polymer chains in "strong" move in one literature resource. even supposing a number of first-class treatises on polymer dynamics have seemed through the years, so much of them care for polymer chains within the quiescent nation or in easy shear circulate.

Fundamentals of Wireless Sensor Networks

Content material: bankruptcy 1 Motivation for a community of instant Sensor Nodes (pages 1–16): bankruptcy 2 purposes (pages 17–45): bankruptcy three Node structure (pages 47–68): bankruptcy four working structures (pages 69–91): bankruptcy five actual Layer (pages 93–123): bankruptcy 6 Medium entry keep watch over (pages 125–162): bankruptcy 7 community Layer (pages 163–204): bankruptcy eight energy administration (pages 205–227): bankruptcy nine Time Synchronization (pages 229–248): bankruptcy 10 Localization (pages 249–266): bankruptcy eleven defense (pages 267–284): bankruptcy 12 Sensor community Programming (pages 285–301):

Recent Advances in the Theory of Chemical and Physical Systems

Advances within the idea of Chemical and actual platforms court cases of the ninth eu Workshop on Quantum structures in Chemistry and Physics (QSCP-IX) held at Les Houches, France, in September 2004 Pr J. -P. Julien, Dr J. Maruani, Pr D. Mayou, Dr S. Wilson, and Pr G. Delgado-Barrio Advances within the conception of Chemical and actual platforms is a set of 26 chosen papers from the medical shows made on the ninth ecu Workshop on Quantum structures in Chemistry and Physics (QSCP-IX) held at Les Houches, France, in September 2004.

Extra info for A set of new Smarandache functions, sequences and conjectures in number theory

Example text

A (n + 1) n → ∞ a( n ) • Evaluate lim where a(n) is the n-th term of the sequence. 18) Smarandache nn m generalized sequence The sequence is obtained concatenating n and n m with m ≥ 1 . 19) Smarandache n2n sequence 12, 24, 36, 48, 510, 1122, 1326, 1428, 1530, 1632, 1734, 1836, 1938 ...... For each n, the n-th term of the sequence is formed concatenating n and 2 ⋅ n . The n-th term of sequence is given by number of digits of 2n. a (n) = 2 ⋅ n + n ⋅ 10 d (2n) where d(2n) is the • How many terms in that sequence are perfect squares?

Is this sequence a Smarandache A and C sequence (see chapter II for definition)? • Let N+ be the number of terms even and N- the number of terms odd. Evaluate N− lim n→∞ N + 59 7) Smarandache alternate consecutive and reverse generalized sequence Let a(n) be a sequence with n ≥ 1 . The Smarandache alternate and reverse generalized sequence is given by: -------- -----------------------------a(1), a(2)a(1), a(1)a(2)a(3), a(4)a(3)a(2)a(1) ........ namely by the alternate concatenation of terms of a(n).

The even ones are always the consecutive primes but reversed, namely starting with 2 on the right. • How many terms are primes? • Note that the sum of digits of some term is a prime. How many terms are prime and the sum of their digits is prime too? • We define as “additive primes” a prime number whose digits sum is prime too (see sequence #11). • Is there any perfect square among the terms of that sequence? A perfect cube? 58 5) Smarandache alternate consecutive and reverse palprimes sequence (SACRPP) 2, 32, 235, 7532, 235711, 101117532, 235711101121, 131121101117532, 235711101121131151, 181151131121101117532, ....

Download PDF sample

Rated 4.61 of 5 – based on 48 votes