SOME CONNECTIONS BETWEEN THE SMARANDACHE FUNCTION AND THE FIBONACCI SEQUENCE PDF Download
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Author: C. Dumitrescu Publisher: Infinite Study ISBN: Category : Languages : en Pages : 11
Book Description
This paper is aimed to provide generalizations of the Smarandache function. They will be constructed by means of sequences more general than the sequence of the factorials. Such sequences are monotonously convergent to zero sequences and divisibility sequences (in particular the Fibonacci sequence).
Author: C. Dumitrescu Publisher: Infinite Study ISBN: Category : Languages : en Pages : 11
Book Description
This paper is aimed to provide generalizations of the Smarandache function. They will be constructed by means of sequences more general than the sequence of the factorials. Such sequences are monotonously convergent to zero sequences and divisibility sequences (in particular the Fibonacci sequence).
Author: V. Seleacu Publisher: Infinite Study ISBN: Category : Languages : en Pages : 327
Book Description
A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.
Author: V. Seleacu Publisher: Infinite Study ISBN: Category : Languages : en Pages : 213
Book Description
A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.
Author: C. Dumitrescu Publisher: Infinite Study ISBN: Category : Languages : en Pages : 210
Book Description
A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.
Author: Charles Ashbacher Publisher: Infinite Study ISBN: 1931233233 Category : Numbers, Natural Languages : en Pages : 135
Book Description
Florentin Smarandache is truly a Renaissance man, having produced quality work in art, mathematics and literature. This is my fifth book where I expand on some of his mathematical ideas and there seems to be no end in sight. In chapter 1, several sequences created by concatenating all of the natural numbers are examined. By expressing the numbers in bases other than 10, a single type of concatenation can generate several different sequences. Upon examination, it can be seen that there are some significant differences between the sequences. Subsets of the natural numbers can be concatenated to create additional sequences and several are examined in chapter 2. The successive odd numbers and the successive even numbers are concatenated to form two of the sequences that are considered in detail. A stereogram is a two-dimensional image that contains a three-dimensional image. By looking at it long enough, the eyes lose focus in just the right way and the image appears. Simple Smarandache stereograms can be constructed using only characters and many different images are presented in chapter 3. The Smarandache functions can be used in combination with other mathematical operations to create many different infinite series. Many such series are examined in chapter four and conclusions whether they converge or diverge are reached.
Author: C. Dumitrescu
Author: C. Dumitrescu
Author: Constantin Dumitrescu
Author: Charles Ashbacher
Author: V. Seleacu 
Author: V. Seleacu 
Author: C. Dumitrescu 
Author: Felice Russo
Author: V. Seleacu
Author: V. Seleacu
Author: Charles Ashbacher