Mathematics Commons^™

Natural Neutrosophic Numbers And Mod Neutrosophic Numbers, Florentin Smarandache, W.B. Vasantha Kandasamy, K. Ilanthenral

Branch Mathematics and Statistics Faculty and Staff Publications

In this book authors answer the question proposed by Florentin Smarandache “Does there exist neutrosophic numbers which are such that they take values differently and behave differently from I; the indeterminate?”. We have constructed a class of natural neutrosophic numbers m 0I , m xI , m yI , m zI where m 0I × m 0I = m 0I , m xI × m xI = m xI and m yI × m yI = m yI and m yI × m xI = m 0I and m zI × m zI = m 0I . Here take m …

Mod Planes: A New Dimension To Modulo Theory, Florentin Smarandache, W.B. Vasantha Kandasamy, K. Ilanthenral

Branch Mathematics and Statistics Faculty and Staff Publications

In this book for the first time authors study mod planes using modulo intervals [0, m); 2 ≤ m ≤ ∞. These planes unlike the real plane have only one quadrant so the study is carried out in a compact space but infinite in dimension. We have given seven mod planes viz real mod planes (mod real plane) finite complex mod plane, neutrosophic mod plane, fuzzy mod plane, (or mod fuzzy plane), mod dual number plane, mod special dual like number plane and mod special quasi dual number plane. These mod planes unlike real plane or complex plane or neutrosophic …

Mod Pseudo Linear Algebras, Florentin Smarandache, W.B. Vasantha Kandasamy, K. Ilanthenral

Branch Mathematics and Statistics Faculty and Staff Publications

In this book authors for the first time elaborately study the notion of MOD vector spaces and MOD pseudo linear algebras. This study is new, innovative and leaves several open conjectures. In the first place as distributive law is not true we can define only MOD pseudo linear algebras. Secondly most of the classical theorems true in case of linear algebras are not true in case of MOD pseudo linear algebras. Finding even eigen values and eigen vectors happens to be a challenging problem. Further the notion of multidimensional MOD pseudo linear algebras are defined using the notion of MOD …

Multidimensional Mod Planes, Florentin Smarandache, W.B. Vasantha Kandasamy, K. Ilanthenral

Branch Mathematics and Statistics Faculty and Staff Publications

In this book authors name the interval [0, m); 2 ≤ m ≤ ∞ as mod interval. We have studied several properties about them but only here on wards in this book and forthcoming books the interval [0, m) will be termed as the mod real interval, [0, m)I as mod neutrosophic interval, [0,m)g; g2 = 0 as mod dual number interval, [0, m)h; h2 = h as mod special dual like number interval and [0, m)k, k2 = (m − 1) k as mod special quasi dual number interval. However there is only one real interval (∞, ∞) but …

Fuzzy Abel Grassmann Groupoids, Florentin Smarandache, Madad Khan, Tariq Aziz

Branch Mathematics and Statistics Faculty and Staff Publications

Usually the models of real world problems in almost all disciplines like engineering, medical sciences, mathematics, physics, computer science, management sciences, operations research and articial intelligence are mostly full of complexities and consist of several types of uncertainties while dealing them in several occasion. To overcome these di¢ culties of uncertainties, many theories have been developed such as rough sets theory, probability theory, fuzzy sets theory, theory of vague sets, theory of soft ideals and the theory of intuitionistic fuzzy sets, theory of neutrosophic sets, Dezert-Smarandache Theory (DSmT), etc. Zadeh introduced the degree of membership/truth (t) in 1965 and dened …

Theory Of Abel Grassmann's Groupoids, Florentin Smarandache, Madad Khan

Branch Mathematics and Statistics Faculty and Staff Publications

It is common knowledge that common models with their limited boundaries of truth and falsehood are not su¢ cient to detect the reality so there is a need to discover other systems which are able to address the daily life problems. In every branch of science problems arise which abound with uncertainties and impaction. Some of these problems are related to human life, some others are subjective while others are objective and classical methods are not su¢ cient to solve such problems because they can not handle various ambiguities involved. To overcome this problem, Zadeh [67] introduced the concept of …

Probleme De Geometrie Și Trigonometrie, Compilate Și Rezolvate, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

No abstract provided.

Key Factors Driving Personnel Downsizing In Multinational Military Organizations, Ilksen Gorkem, Resit Unal, Pilar Pazos

Engineering Management & Systems Engineering Faculty Publications

Although downsizing has long been a topic of research in traditional organizations, there are very few studies of this phenomenon in military contexts. As a result, we have little understanding of the key factors that drive personnel downsizing in military setting. This study contributes to our understanding of key factors that drive personnel downsizing in military organizations and whether those factors may differ across NATO nations’ cultural clusters. The theoretical framework for this study was built from studies in non-military contexts and adapted to fit the military environment.

This research relies on historical data from one of the largest multinational …

Existence Of Mild Solutions For Semilinear Impulsive Functional Mixed Integro-Differential Equations With Nonlocal Conditions, Kamalendra Kumar, Rakesh Kumar

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we prove the existence, uniqueness and continuous dependence of initial data on mild solutions of first order semilinear functional impulsive mixed integro-differential equations with nonlocal condition in general Banach spaces. The results are obtained by using the semigroup theory and Banach contraction theorem.

Metastable Behavior For Conservative Dynamics On A Finite Box With Open Boundary, Taizo Chiyonobu, Yusuke Takagi

Communications on Stochastic Analysis

No abstract provided.

An Entropy Approach To Bose-Einstein Condensation, Francesco De Vecchi, Stefania Ugolini

Communications on Stochastic Analysis

No abstract provided.

Absence Of Energy Level Crossing For The Ground State Energy Of The Rabi Model, Masao Hirokawa, Fumio Hiroshima

Communications on Stochastic Analysis

No abstract provided.

Absolute Continuity Under Time Shift For Ornstein-Uhlenbeck Type Processes With Delay Or Anticipation, Jörg-Uwe Löbus

Communications on Stochastic Analysis

No abstract provided.

An Epsilon-Nash Equilibrium For Non-Linear Markov Games Of Mean-Field-Type On Finite Spaces, Rani Basna, Astrid Hilbert, Vassili N Kolokoltsov

Communications on Stochastic Analysis

No abstract provided.

Parameter Estimation From Occupation Times—A White Noise Approach, Wolfgang Bock, Thomas Götz, Martin Grothaus, Uditha Prabhath Liyanage

Communications on Stochastic Analysis

No abstract provided.

Higher Powers Of Quantum White Noise Derivatives, Aymen Ettaieb, Habib Ouerdiane, Hafedh Rguigui

Communications on Stochastic Analysis

No abstract provided.

Large Deviations Estimates For Some White Noise Distributions, Sonia Chaari, Achref Majid, Habib Ouerdiane

Communications on Stochastic Analysis

No abstract provided.

Semi-Fredholm Solvability In The Framework Of Singular Solutions For The (3+1)-D Protter-Morawetz Problem, Nedyu Popivanov, Todor Popov, Allen Tesdall

Publications and Research

For the four-dimensional nonhomogeneous wave equation boundary value problems that are multidimensional analogues of Darboux problems in the plane are studied. It is known that for smooth right-hand side functions the unique generalized solution may have a strong power-type singularity at only one point. This singularity is isolated at the vertex �� of the boundary light characteristic cone and does not propagate along the bicharacteristics.The present paper describes asymptotic expansions of the generalized solutions in negative powers of the distance to ��. Some necessary and sufficient conditions for existence of bounded solutions are proven and additionally a priori estimates for …

Control Of A Finite Dam With A Lévy Input, Mohamed Abdel-Hameed

Communications on Stochastic Analysis

No abstract provided.

Powers Of An Infinite Dimensional Brownian Motion Associated With The Product Of Distributions, Kimiaki Saitô, Takashi Shimada

Communications on Stochastic Analysis

No abstract provided.

An Extended Novikov-Type Criterion For Local Martingales With Jumps, Alexander Sokol

Communications on Stochastic Analysis

No abstract provided.

3-D Stochastic Micropolar And Magneto-Micropolar Fluid Systems With Non-Lipschitz Multiplicative Noise, Kazuo Yamazaki

Communications on Stochastic Analysis

No abstract provided.

Stokes Formula On The Space Of Tempered Distributions, S Chaari, F Cipriano, H.-H. Kuo, H Ouerdiane

Communications on Stochastic Analysis

No abstract provided.

A Coarsening Of The Strong Mixing Condition, Brendan K Beare

Communications on Stochastic Analysis

No abstract provided.

Global Existence And Finite Time Blow-Up In A Class Of Stochastic Nonlinear Wave Equations, Rana D Parshad, Matthew A Beauregard, Aslan Kasimov, Belkacem Said-Houari

Communications on Stochastic Analysis

No abstract provided.

An Analysis Of Stochastic Flows, A A Dorogovtsev, I. I. Nishchenko

Communications on Stochastic Analysis

No abstract provided.

The Development Pattern And Competitiveness Evaluation Research On China Inland Dry Port, Min Shi

World Maritime University Dissertations

No abstract provided.

Forecast And Analysis Of Seaborne Import Oil Freight From South Africa To China, Qingying Xu

World Maritime University Dissertations

No abstract provided.

Analysis Of Influencing Factors Of Coastal Port Cargo Throughput In China From Economic Aspect, Hongyi Zhang

World Maritime University Dissertations

No abstract provided.

Research On China Newbuilding Price Index And Its Derivatives, Yangyang Zhang

World Maritime University Dissertations

No abstract provided.