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Jan 26, 2021Open Access
Irrational numbers didn’t have reoccurrence sequence but this paper calculated a sequence with respect to Quantum Perspective Model. One of the irrational numbers is the square root of five numbers. This article researches whether there is a link between the square root of five numbers and the genetic sequences. At first, the square root digits of the number five after the comma are added respectively. Secondly, the resulting sum corresponds to the nucleotide bases, the results obtained in this ...
Jun 30, 2020Open Access
Whale Optimization Algorithm (WOA) is a meta-heuristic algorithm. It is a new algorithm, it simulates the behavior of Humpback Whales in their search for food and migration. In this paper, a modified conjugate gradient algorithm is proposed by deriving new conjugate coefficient. The sufficient descent and the global convergence properties for the proposed algorithm proved. Novel hybrid algorithm of the Whale Optimization Algorithm (WOA) proposed with modified conjugate gradient Algorithm develop...
Sep 10, 2019Open Access
In this paper, we suggest and analyze some new derivative free iterative methods for solving nonlinear equation using a trust-region method. We also, give several examples to illustrate the efficiency of these methods. Comparison with other similar method is also given. This tech-nique can be used to suggest a wide class of new iterative methods for solving optimization problem. For, solving linearly unconst ...
Oct 26, 2017Open Access
Actually, Arithmetic is
considered as syntactically incomplete. However, there are different types of
arithmetical theories. One of the most important is the second-order
Categorical Arithmetic (AR), which interprets the principle of induction
with the so-called full semantics ...
Aug 28, 2017Open Access
An axiom system for
dialectical logic
K-model which is based on energy-method is established by author in the paper. Dialectical logic K-model supplies a
computation-idea for machine, so that it
can be applied in many computations for artificial
intelligence. This
paper described that subjective-laws is the mirror imagine reflected from
objective-laws, and defined the three-step which is named by sensation, abstraction and t ...
Jul 06, 2017Open Access
In this work, we present four results for the Laplace inverse transform of functions that involve the nth root of a product of linear factors. In order to find the Laplace inverse transform, we considered a branch cut for the nth root and a region of suitable integration, to avoid the branching points. Due to that, the solution is in terms of integrals, we easily approach this solution for some specific parameters.
Sep 15, 2015Open Access
The fundamental aim of the paper is to
correct a harmful way to interpret a Godel’s erroneous remark at the Congress
of Konigsberg in 1930. Although the Godel’s
fault is rather venial, its misreading has
produced and continues to produce dangerous fruits, so as to apply the incompleteness Theorems to the full second-order Arithmetic and to
deduce the semantic incompleteness of its language by these same Theorems. The
first three paragraphs are introductory and serve to define the language...
Sep 07, 2015Open Access
One of the most important features of GeoGebra [1] is the coordination of the geometric and algebraic representations, easily observed in GeoGebra window. Using GeoGebra software the teacher can geometrically and fruitfully teach the concepts and algorithms of arithmetic operations in the elementary school. Our paper focuses on two important operations: addition and subtraction in the set of whole numbers. Using GeoGebra features [2], we visually demonstrate the concepts of these two operations ...
Oct 31, 2014Open Access
In this paper new
method is introduced for complex numbers; this method does not include imaginary
number “i” but produces the same
results that occur in Addition, Subtraction, Multiplication & Division of
complex numbers, also proof of Eluer Formula eiθ and De Moivre theorem without using imaginary number
“i”. Furthermore placing the light on
the square root of a negative number, the square root of a negative number is
equal t ...
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