[PDF] Top 20 O aperfeiçoamento da comunicação organizacional através da oratória
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Continued Fractions of Ratios of Consecutive Polygonal Numbers
... study polygonal numbers. A polygonal number can be defined as a sum of equidistant dots used to represent a polygon of a certain ...a polygonal numbers is the number of dots on a side ... See full document
20
Probabilities as Values of Modular Forms and Continued Fractions
... Theorem 1.4 is a consequence of our second application which concerns the problem of obtaining algebraic formulas for all of these ratios, not just the limiting values. As a function of p, one may compute the ... See full document
89
On examples of two-dimensional periodic continued fractions
... one-dimensional continued fraction is a little different to the definition of ordinary continued ...ordinary continued fraction for some positive real number a is given by the following ...are ... See full document
20
On the Mixed Littlewood Conjecture and continued fractions in quadratic fields
... approximable numbers are the quadratic irrational numbers, since their continued fraction expansion is ...two consecutive terms of D is ... See full document
61
Perron identity for arbitrary broken lines
... the continued fractions of arbitrary bro- ken ...of continued fractions for arbitrary broken lines was studied in papers [4, 2, 3] (see also ... See full document
7
Convergence of Vectorial Continued Fractions Related to the Spectral Seminorm
... Theorem 2.5 below gives a necessary condition for convergence according to the spectral seminorm. This result is an extension of von Koch Theorem 4, concerning the scalar case. A similar theorem was given by Fair 1 for ... See full document
168
An Efficient PRBG Based on Chaotic Map and Engel Continued Fractions
... In recent years, a variety of chaos-based cryptosystems have been proposed. Some of these systems are used in design- ing a pseudo random bit generator (PRBG) for stream cipher applications. Most of the chaotic systems ... See full document
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Evaluation of Some Centered Polygonal Numbers by Using the Division Algorithm
... van Nivan, Herbert , S.Zuckermann and L.Montgomery, An Introduction to Theory of Numbers, John Wiley and Sons Inc, New York 2004.[r] ... See full document
8
The Rabinowitsch Mollin Williams Theorem Revisited
... If I, J are O Δ -ideals, then equivalence of classes in C Δ is denoted by I ∼ J, and the class of I is denoted by I. The following is crucial to the interplay between ideals and continued fractions, known ... See full document
92
Modular relations and explicit values of Ramanujan Selberg continued fractions
... By employing a method of parameterizations for Ramanujan’s theta-functions, we find several modular relations and explicit values of the Ramanujan-Selberg continued fractions.. Copyright[r] ... See full document
60
Laminar mixed convection of Cu-water nano-fluid in two- sided lid-driven enclosures
... Luo and Yang [4] presented a continuation method to calculate flow field with and without heat transfer in a two-sided lid-driven enclosure with an aspect ratio of 1.96. The top and bottom lids of the enclosure move in ... See full document
7
A Hidden Stability in the Random Behaviour of the Consecutive Prime Numbers
... natural numbers, it would be probably more adequate to say that “God created the prime numbers; all else is the work of man”, because every integer is either a prime number or a unique product of ...prime ... See full document
88
Identification of Patterns of Continued Fractions of √s – [√s] Where is a Square Free Positive Number
... periodic continued fraction represents a quadratic irrational ...the continued fraction expansion of every quadratic irrational is eventually ...periodic continued fraction represents a quadratic ... See full document
6
Approach Based on Finding the Difference between Consecutive Numbers
... process. The length of the plain text is not restricted in this algorithm, so it can be applicable for any larger file. Random number can be of any number. The random number (which is the block size) kept in key and use ... See full document
8
On the Ternary Quadratic Diophantine Equation $5y^2 = 3x^2+2z^2$
... Abstract. The ternary homogeneous quadratic equation given by 5 y 2 = 3 x 2 + 2 z 2 is analysed for its non-zero distinct integer solutions. A few interesting relations between the solutions and special polygonal ... See full document
26
A Double Inequality for the Ratio of Two Consecutive Bernoulli Numbers
... [12] J. Higgins, Double series for the Bernoulli and Euler numbers, J. London Math. Soc. 2nd Ser. 2 (1970), 722–726; Available online at http://dx.doi.org/10.1112/jlms/2.Part_4.722. [13] S. Jeong, M.-S. Kim, and ... See full document
6
Observations on Ternary Quadratic Equation z2 = 82x2 +y2
... Keywords Quadratic equation with three unknowns, Integral solutions, Polygonal Numbers, Four Dimensional Figurate Numbers, Octahedral number... Introduction Ternary quadratic equations a[r] ... See full document
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INTEGRAL SOLUTIONS OF NON- HOMOGENEOUS QUINTIC EQUATION WITH THREE UNKNOWNS
... special numbers, namely, polygonal numbers, Jacobsthal numbers, Jacobsthal-Lucas number,Pronic numbers, Stella octangular numbers, Octahedral numbers, Centered ... See full document
26
Sums of reciprocals of fractional parts and multiplicative Diophantine approximation
... In the homogeneous case, that is to say when γ = 0, the inequalities (1.4) are known to be true with ε = 0 for any badly approximable α. This result was originally proved by Hardy and Littlewood [29, Lemma 3]. Today this ... See full document
18
Several properties of hypergeometric Bernoulli numbers
... Bernoulli numbers have been considered by many ...poly-Bernoulli numbers [20], multiple Bernoulli numbers [5], Apostol–Bernoulli numbers [23], multi-poly-Bernoulli numbers [10, 11], ... See full document
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