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Jun 30, 2020Open AccessArticle
Whale Optimization Algorithm (WOA) is a metaheuristic 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 AccessArticle
In this paper, we suggest and analyze some new derivative free iterative methods for solving nonlinear equation using a trustregion method. We also, give several examples to illustrate the efficiency of these methods. Comparison with other similar method is also given. This technique can be used to suggest a wide class of new iterative methods for solving optimization problem. For, solving linearly unconst ...
Oct 26, 2017Open AccessArticle
Actually, Arithmetic is
considered as syntactically incomplete. However, there are different types of
arithmetical theories. One of the most important is the secondorder
Categorical Arithmetic (AR), which interprets the principle of induction
with the socalled full semantics ...
Aug 28, 2017Open AccessArticle
An axiom system for
dialectical logic
Kmodel which is based on energymethod is established by author in the paper. Dialectical logic Kmodel supplies a
computationidea for machine, so that it
can be applied in many computations for artificial
intelligence. This
paper described that subjectivelaws is the mirror imagine reflected from
objectivelaws, and defined the threestep which is named by sensation, abstraction and t ...
Jul 06, 2017Open AccessArticle
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 AccessArticle
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 secondorder 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 AccessArticle
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 AccessArticle
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 e^{iθ} 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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