This paper defines the gravitational field as a medium with elastic properties, and the gravitational force occurs when matter creates a more concentrated region in the gravitational field. Further, this paper explains how electromagnetic waves are changing concentrations in this field. Hence, the gravitational field and electromagnetic field are the same, called the unified field. Based on this understanding of the unified field, there are attractive forces between electromagnetic waves as defined as: F=Y_1 (f_1 f_2)/r^2 There are also attractive forces between electromagnetic waves and matter possessing mass at rest. This force is defined as: F=Y_2 fm/r^2 Dark matter observations support this unified field theory.

This paper solves the problem of division by zero. Starting with a deep analysis of multiplication and division, it is presented that they are one in the same, as an operation. Together with the operation of selection, they are different forms of the transformation operation, that changes one pair of numbers into another pair of numbers. It is presented that the numbers are always in reference to some other numbers. Therefore, the only correct form of the number, is when it is a ratio between the certain value and the base measure, which this value is related to. It is clearly proven that the problem of division by zero is the result of unauthorized simplification, which was done by bringing all the rational numbers (which are represented by the ratio of the value to the measure) to the fractions, with a denominator of 1. This paper shows why we should not make fractions with different numerators and denominators equal, even so they seem to be in the same proportion. Finally, there are two graphs with the functions presented 1/x and tg(x) with their discontinuity points, which are visible only on the real numbers graph. This result is from projecting points of the rational numbers graph onto the real numbers graph with a denominator of 1. These discontinuity points disappear when we present our graphs in rational numbers. This paper fixes one of the foundations of mathematics and shows us how to divide by zero. This is only the first issue that was solved, but based on the proper understanding of numbers in their natural form, still many other things need to be fixed. It is still difficult to predict all the consequences, which this change can bring, to everything that was created based on this wrong foundation.

A Password P, can be defined as a hash of x symbols .A brute force password cracking algorithm will go through every possible combination of symbols from 1 – x symbols. This form of password cracker takes O(n) time to solve, where n is the number of possible combinations, achieved by sn where s is the number of symbols available for a password. Having a password cracker with multiple processors, having the processors instead of all checking from symbol 0 to the last symbol, using a more decentralized approach can greatly improve the speed of this computation to O(n/2) for two processors, O(n/3) for three processors and O(n/np) as a generalized formula. This algorithm also allows for multiple processors of different clock speeds to also crack a password in more optimal time.

. Mobile Ad hoc Network (MANET) is a system of wireless mobile nodes that dynamically self-organized in arbitrary and temporary network topologies without communication infrastructure. This network may change quickly and unforeseeable. The unique characteristics of MANET give an adversary the opportunity to launch numerous attacks against ad-hoc networks. So the security is an important role in MANETs. This article aims to present the concept of intrusion detection system (IDs) and surveys some of major intrusion detection approach against neutrosophic intrusion detection system in MANETs. Current IDS’s corresponding to those architectures are also reviewed and compared. This paper introduces the accuracy rate and false alarm rate of four completely different classifiers to observe the percentage and the efficiency of the classifiers in detecting attacks in MANETs. Results show that Neutrosophic intelligent system based on genetic algorithm could facilitate significantly in detecting malicious activities in MANETs. Hence, neutrosophic techniques could be utilized to suit the ambiguity nature of the IDs

Some large-scale natural phenomena and unexpected experiments are analyzed. It is proved that they can be explained by gravitomagnetism existence and significant gravitomagnetic forces. On the same basis it is proved that a generator using the gravitational conservative forces source energy for work performance can exist and this does not contradict the energy conservation law. A new solution of Maxwell's equations for gravitomagnetism, used in order to create the various models of phenomena (sand-devil, sea current, rotary stream, funnel, water soliton, water and sand tsunami, turbulent flows, additional (non-Newtonian) forces of celestial bodies’ interaction) is proposed. A detailed proof for interested reader is given. Experimental validations of the theory are considered. Explanations of experiments that have not been justified until now are proposed.

In this paper, we introduce the first and second distance eccentricity Zagreb indices of a connected graph G as the sum of the squares of the distance eccentricity degrees of the vertices, and the sum of the products of the distance eccentricity degrees of pairs of adjacent vertices, respectively. Exact values for some families of graphs and graph operations are obtained.

We begin with simple, finite, undirected graph G = (V (G),E(G)) where V (G) and E(G) denotes the vertex set and the edge set respectively.

Multi-criteria group decision making (MCGDM) strategy, which consists of a group of experts acting collectively for best selection among all possible alternatives with respect to some criteria, is focused on in this study. To develop the paper, we define linguistic neutrosophic refine set.

Knowledge based recommender systems despite its usefulness and high impact have some shortcomings. Among its limitations are lack of more flexible models, the inclusion of indeterminacy of the factors involved for computing a global similarity. In this paper, a new knowledge based recommendation models based SVN number is presented. It includes data base construction, client profiling, products filtering and generation of recommendation. Its implementation makes possible to improve reliability and including indeterminacy in product and user profile. An illustrative example is shown to demonstrate the model applicability.