By Felice Russo

**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.

- Waves and Structures in Nonlinear Nondispersive Media: General Theory and Applications to Nonlinear Acoustics
- Gauge Theory and the Early Universe
- SOFSEM 2012: Theory and Practice of Computer Science: 38th Conference on Current Trends in Theory and Practice of Computer Science, à pindlerův Mlýn, Czech Republic, January 21-27, 2012. Proceedings
- Restructuring the Welfare State: Theory and Reform of Social Policy

**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, ....