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...In this book authors for the first time introduce study and develop the notion of MOD graphs, MOD directed graphs, MOD finite complex number graphs, MOD neutrosophic graphs, MOD dual number graphs and so on. Likewise MOD directed natural neutrosophic graphs are defined. Further type I, type II and type III...

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...book authors for the first time introduce study and develop the notion of MOD graphs, MOD directed graphs, MOD finite complex number graphs, MOD neu... ...rected graphs, MOD finite complex number graphs, MOD neutrosophic graphs, MOD dual number graphs and so on using edge weights from Zn, C(Zn) Z  I... ...om Zn, C(Zn) Z  I, Z  g and so on. n n Likewise MOD directed natural neutrosophic graphs are defined. Further type I, ty... ...hic graphs are defined. Further type I, type II and type III. MOD directed graphs and MOD natural neutrosophic graphs are defined... ...is book has over 185 examples and over 250 figures. The notion of MOD bipartite graphs and MOD natural I... ...d. This book gives the probable applications of these concepts to MOD mathematical models like MOD Cognitive Maps model and MOD Re... ...eBASIC CONCEPTS In this book for the first time authors venture to study MOD n I n Igraphs using Zn, ZI ... ...g Zn, ZI , C(Zn), Zn  I , Z  n  g, C (Zn), Z  hand so on. MOD graphs take vertex set and (or) edge sets from any ofthe sets Zn, C(Zn)... ... n    n  h and Zn  k.  I, Z g , Z These MOD graphs are special for these lead to MODCognitive Maps mod...

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...The authors define MOD transformations and discuss several interesting features about them. So chapter one of this book serves the purpose of only recalling these properties. Various properties of MOD interval transformation of varying types ar...

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... 5Chapter OneRENAMING OF CERTAIN MATHENMATICALSTRUCTURES AS MOD STRUCTURES 7Chapter TwoPROPERTIES OF MOD... ... 91 3Chapter ThreeINTRODUCTION TO MOD PLANES 113Chapter FourHIGHER AND MIXEDMUL... ... 113Chapter FourHIGHER AND MIXEDMULTIDIMENSIONAL MOD PLANES 143Chapter FiveSUGGESTED PROBLEMS ... ...n this book and forthcoming books theinterval [0, m) will be termed as the mod real interval, [0, m)I as 2mod neutrosophic interval,... ... [0, m)I as 2mod neutrosophic interval, [0,m)g; g = 0 as mod dual number 2interval, [0, m)h; h = h as mod special dual lik... ...pecial dual like number 2interval and [0, m)k, k = (m − 1) k as mod special quasi dualnumber interval. However there is only one real inter... ...owever there is only one real interval (∞, ∞)but there are infinitely many mod real intervals [0, m); 2 ≤ m ≤∞. The mod complex modulo finite integer ... ...ice properly as that interval isnot closed under product . Here we define mod transformations and discuss severalinteresting features about them. So ... ... of only recalling these properties. Various 5properties of mod interval transformation of varying types arediscussed. Next the mod pla...

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...Study of MOD planes happens to a very recent one. Authors have studied several properties of MOD real planes. In fact unlike the real plane R × R which is unique MOD real planes are infinite in number. Further three other new types of...

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...Algebraic Structures on MOD Planes W. B. Vasantha Kandasamy Ilanthenral K Florentin S... ...TRODUCTION 7Chapter TwoALGEBRAIC STRUCTURES USING MOD SUBSETSOF THE MOD PLANES 9Chapter ThreeMATRICES A... ...UT THE AUTHORS 213 4PREFACE Study of MOD planes happens to a very recent one. Authorshave studied several proper... ...es happens to a very recent one. Authorshave studied several properties of MOD real planes R (m); 2 ≤ m n≤ ∞. In fact unlike... ...lane R × R which is unique MODreal planes are infinite in number. Likewise MOD complexplanes C (m); 2 ≤ m ≤ ∞, are infinitely many. n The MOD neu... ... 2〈R ∪ I〉 = {a + bI | I = I; a, b ∈ R}. Further three other newtypes of MOD planes constructed using dual numbers, specialdual number like numbers ... ...ntroduced. g 2 Rn (m) ={a + bg | g = 0, a, b ∈ [0, m)} is the MOD dualnumber plane. 5 h 2 Rn (m) ={a + bh | h =... ... 5 h 2 Rn (m) ={a + bh | h = h; a, b ∈ [0, m)} is the MOD special k 2dual like number plane and Rn (m) ={... ...ike number plane and Rn (m) ={a + bk | k = (m − 1)k; a, b∈ [0, m)} is the MOD special quasi dual number plane. Finally we have only one MOD fuzzy pl...

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...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 one can define only MOD pseudo linear algebras. Secondly ...

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... 5Chapter OneINTRODUCTION 7Chapter TwoREAL MOD MATRICES AND THEIR PROPERTIES 39Chapter ThreeALGEBRAIC STR... ...RICES AND THEIR PROPERTIES 39Chapter ThreeALGEBRAIC STRUCTURES ON MOD SUBSETSOF MOD PLANES 93 3Chapt... ...ANES 93 3Chapter FourMULTIDIMENSIONAL MOD PSEUDOLINEAR ALGEBRAS 209FURTHER READIN... ...CE In this book authors for the first time elaborately study thenotion of MOD vector spaces and MOD pseudo linear algebras.This study is new, innov... ...ctures. In the first place as distributive law is not true wecan define only MOD pseudo linear algebras. Secondly most of the classical theorems tr... ...he classical theorems true in case oflinear algebras are not true in case of MOD pseudo linearalgebras. Finding even eigen values and eigen vectors ha... ... problem. Further the notion ofmultidimensional MOD pseudo linear algebras are defined usingthe notion of MOD mixed matri... ... 6Chapter OneINTRODUCTION In this chapter we introduce the notion of MOD interval,MOD plane and MOD transformation. For more about thesenotion... ... 0, a, b ∈ R}, 2 R(h) = {a + bh | h = h, a, b ∈ R},8 MOD Pseudo Linear Algebras 2 C = {a + bi | ...

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...In this book authors for the first time introduce the notion of MOD subsets. The S-semigroups enjoy several interesting properties. The notion of MOD universal subset and MOD absorbing subsets are defined and developed. MOD natural neutrosophic subsets forms only a semigroup under ‘+’. In...

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...samy Ilanthenral K Florentin Smarandache 2016 MOD NaturalNeutrosophic Subset Semigroups 2... ... 85 5Chapter FourSEMIGROUPS BUILT ON MOD SUBSET MATRICESAND MOD SUBSET POLYNOMIALS ... ... 6PREFACE In this book authors for the first time introduce the notionof MOD subsets using Z (or C(Z ) or  n  g or Z  I or ... ...Zn or C (Zn) or Z  g  or Zn  I  orZn  h  or  n  k . On these MOD subsets the operation ‘+’ I Z Iis defined, S(Zn) d... ... MOD subsets the operation ‘+’ I Z Iis defined, S(Zn) denotes the MOD subset and {S(Zn), +}happens to be only a Smarandache ... ...group. These S-semigroups enjoy several interesting properties.The notion of MOD universal subset and MOD absorbingsubsets are defined and develop... ... is also a semigroup and several propertiesassociated with them are derived. MOD natural neutrosophic subsets forms only asemigrou... ...mpotents with respect to ‘+’.They are S-semigroups under ‘+’. These MOD naturalneutrosophic subsets of all 6 types are only semigroup... ... cases two types of products can beused one zero dominated product and the other MOD naturalneutrosophic zero dominated product. Both the product ared...

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...In this book authors introduce the new notion of MOD rectangular planes. The functions on them behave very differently when compared to MOD planes (square). These are different from the usual MOD planes. Algebraic structures on these MOD rectangular planes are defined and d...

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...DUCTION 7Chapter TwoRECTANGULAR MOD PLANES 9Chapter ThreeALGEBRAIC STRUCTURES ... ... 9Chapter ThreeALGEBRAIC STRUCTURES USINGRECTANGULAR MOD PLANES 45 3Chapter FourSE... ... 45 3Chapter FourSEMIGROUPS ON MOD RECTANGULARNATURAL NEUTROSOPHIC NUMBERSAND THEIR PROPERTIES ... ...ular planes. The functions on them behave verydifferently when compared to MOD planes (square). Theseare different from the usual MOD planes. Algebrai... ...Theseare different from the usual MOD planes. Algebraicstructures on these MOD rectangular planes are defined anddeveloped. However we have built on... ... rectangular planes are defined anddeveloped. However we have built only MOD interval natural I Ineutrosophic prod... ... 2 ≤ m, n < . These can be called as planes asone can accommodate the mod natural neutrosophicnumbers in these planes. Further MOD rect... ...y happen to be of finitecardinality. On these MOD rectangular numbers, 5semigroups with re... ...and 0described. They happen to be of finite MOD rectangularnatural neutrosophic sets. MOD matrix subset...

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...In this book authors for the first time introduce new mathematical models analogous to FCMs and NCMs. They have constructed 12 types of MOD Cognitive Maps models, such as: MOD Cognitive Maps model, MOD dual number Cognitive Maps model, MOD neutrosophic Cognitive Maps model, MOD finite complex number Cognitive Maps model, MOD special dual like number Cognitive...

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...MOD Cognitive Maps Models and MOD Natural Neutrosophic Cognitive Maps Models W. B. Vasa... ...S 11Chapter ThreeMOD-NATURAL NEUTROSOPHIC COGNITIVEMAPS (MOD NCMS) MODEL AND MODINTERVAL COGNITIVE MAPS MODEL 117Cha... ... analogous to FCMs and NCMs. We inthis book have constructed 12 types of MOD Cognitive Mapsmodels using Z or 〈Z ∪ g〉 or 〈Z ∪ I〉 or C(Z ) or 〈Z ∪ h〉 ... ... 〈Z ∪ h〉 or n n n n n〈Z ∪ k〉 which will be known us MOD Cognitive Maps model or nMOD dual number Cognitive Maps model or MOD ne... ...number Cognitive Maps model or MOD neutrosophicCognitive Maps model or MOD finite complex numberCognitive Maps model or MOD special dual like num... ...ognitive Maps model or MOD special dual like numberCognitive Maps model or MOD special quasi dual numberCognitive Maps model respectively. Apart from... ... numberCognitive Maps model respectively. Apart from this we have defined MOD natural neutrosophicCognitive Maps model, MOD natural neutrosophic-neut... ...ive Maps model, MOD natural neutrosophic-neutrosophicCognitive Maps model, MOD natural neutrosophic dual numberCognitive Maps model, MOD natural neutr... ...el, MOD natural neutrosophic special duallike number Cognitive Maps model, MOD natural neutrosophicspecial quasi dual number model and MOD natural neu...

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...In this book authors for the first time give several types of problems on MOD structures happens to be an interesting field of study as it makes the whole 4 quadrant plane into a single quadrant plane and the infinite line into a half closed open interval. So study in this direction will certainly ...

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... 2CONTENTSPreface 5Chapter OnePROBLEMS ON MOD INTERVALS 7Chapter TwoPROBLEMS ASSOCIATE... ...ERVALS 7Chapter TwoPROBLEMS ASSOCIATED WITH MOD PLANES 31Chapter ThreePROBLEMS ON SPECIAL ELEMENTS INMOD S... ...RUCTURES 59 3Chapter FourPROBLEMS ON MOD NATURAL NEUTROSOPHICELEMENTS 75Chapter FivePR... ...L NEUTROSOPHICELEMENTS 75Chapter FivePROBLEMS ON MOD INTERVAL POLYNOMIALSAND MOD PLANE POLYNOMIALS ... ... OFMOD FUNCTIONS 117Chapter SevenPROBLEMS ON MOD DIFFERENTIATIONAND MOD INTEGRATION OF FUNCTIONSIN THE MOD PLANES ... ... In this book authors for the first time give several types ofproblems on MOD structures happens to be an interesting field ofstudy as it makes the w... ...eralinteresting results. The law of distributivity is not true. Furtherthe MOD function in general do not obey all the laws ofintegration or different... ...eneral do not obey all the laws ofintegration or differentiation. Likewise MOD polynomials ingeneral do not satisfy the basic properties of polynomial... ...sting but challenging. So this book which is only full ofproblems based on MOD structures will be a boon to researchers.Further the MOD series books o...

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...In this book for the first time authors study MOD planes using modulo intervals. These planes unlike the real plane have only one quadrant so the study is carried aut in a compact space but infinite in dimension. The authors have given seven MOD planes viz real MOD plane...

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... 5Chapter OneINTRODUCTION 7Chapter TwoTHE MOD REAL PLANES 9Chapter ThreeMOD FUZZY REAL ... ... 73 3Chapter FourMOD NEUTROSOPHIC PLANES AND MOD FUZZYNEUTOSOPHIC PLANES 103Chapter FiveTH... ...D FUZZYNEUTOSOPHIC PLANES 103Chapter FiveTHE MOD COMPLEX PLANES 147Chapter SixMOD DUAL NUM... ...221 4PREFACE In this book for the first time authors study mod planesusing modulo intervals [0, m); 2 ≤ m ≤ ∞. These planes unlikethe ... ...arried outin a compact space but infinite in dimension. We have givenseven mod planes viz real mod planes (mod real plane) finitecomplex mod plane, ne... ...viz real mod planes (mod real plane) finitecomplex mod plane, neutrosophic mod plane, fuzzy mod plane,(or mod fuzzy plane), mod dual number plane, mod... ...fuzzy plane), mod dual number plane, mod special duallike number plane and mod special quasi dual number plane.These mod planes unlike real plane or c... ...roduct set [0, 1) × [0, 1); where 1 is not included; this isdefined as the mod fuzzy plane. Several properties are derived. 5 This stu... ...ing and innovative. Many openproblems are proposed. Authors are sure these mod planes willgive a new paradigm in mathematics. We wish to acknowledge ...

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...In this book the notion of semigroups under + is constructed using the MOD natural neutrosophic integers or MOD natural neutrosophic-neutrosophic numbers or MOD natural neutrosophic finite complex modulo integer or MOD natural neutrosophic dual number integers or MOD natural neutrosophic special...

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... 2CONTENTSPreface 5Chapter OneSEMIGROUPS ON MOD NATURALNEUTROSOPHIC ELEMENTS UNDER + 7Chapter TwoSEMIGR... ...OSOPHIC ELEMENTS UNDER + 7Chapter TwoSEMIGROUPS UNDER × ON MOD NATURALNEUTROSOPHIC ELEMENTS 81 3Cha... ...E In this book the notion of semigroups under + is constructedusing the Mod natural neutrosophic integers or MOD naturalneutrosophic-neutrosophic ... ...uralneutrosophic-neutrosophic numbers or mod naturalneutrosophic finite complex modulo integer or ... ...trosophic finite complex modulo integer or MOD naturalneutrosophic dual number integers or MOD natural neutrosophicspe... ...s or MOD natural neutrosophicspecial dual like number or MOD natural neutrosophic specialquasi dual numbers are analysed in a system... ...nly I Ithose MOD natural neutrosophic elements of Zn or C (Z... ...semigroup. Several important properties about them are analysed. For the MOD natural neutrosophic numbers please refer [24].For natural product refe... ... FLORENTIN SMARANDACHE 6Chapter OneSEMIGROUPS ON MOD NATURALNEUTROSOPHIC ELEMENTS UNDER + In this chapter we for the first ...

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...In this book authors for the first time construct a MOD Relational Maps model analogous to Fuzzy Relational Maps (FRMs) model or Neutrosophic Relational Maps (NRMs) model using the MOD rectangular or relational matrices. The advantage of using these models is that we are sure ...

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... MOD Relational MapsModels and MOD NaturalNeutrosophic Relational Maps Models W. B. Vasantha... ...ional Maps(FRMs) model or Neutrosophic Relational Maps (NRMs) modelusing the MOD rectangular or relational matrices with entries I ... ...on.〉 〈 n The advantage of using these models is that we are sure toget the MOD fixed point pair or a MOD limit cycle pair after afinite number of it... ...wly constructed models. Finally the resultant state vector pair can be real MOD valuesor finite complex or neutrosophic or a dual number or a special... ...tswhich we have used in this book. This book basically builds the notion of MOD RelationalMaps (MOD RMs) models using Z or 〈Z ∪ I〉 or 〈Z ∪ g〉 or C(Z... ...r 〈Z ∪ k〉. n n n n n n I I MOD Relational Maps model also built using Zn or R (n) or IC (Z ) and ... ...and distinct as the formeruses only modulo integers but the later uses the MOD naturalneutrosophic numbers generated by division in Z , C(Z ) and so... ... ) and so n non. For more about the concept of MOD natural neutrosophicelements in particular and for properties of MOD... ...ular and for properties of MOD structures ingeneral please refer [57-66].10 MOD Relational Maps Models and MOD Natural … Further these new model...

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...In this book the notion of MOD functions are defined on MOD planes. This new concept of MOD functions behaves in a very different way. Even very simple functions like y = nx has several zeros in MOD planes where as they are nice single line graphs with...

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...IAL FUNCTIONS 11Chapter ThreeMOD COMPLEX FUNCTIONSIN THE MOD COMPLEX PLANE CN(M) 113 3Chapter FourTRIG... ... 113 3Chapter FourTRIGONOMETRIC, LOGARITHMICAND EXPONENTIAL MOD FUNCTIONS 131Chapter FiveNEUTROSOPHIC MOD FUNCTIONSAND ... ...NCTIONS 131Chapter FiveNEUTROSOPHIC MOD FUNCTIONSAND OTHER MOD FUNCTIONS 163Chapter SixSUGGESTED PROBLEMS ... ... 203 4PREFACE In this book the notion of MOD functions are defined onMOD planes. This new concept of MOD functions b... ... different way. Even very simple functions like y = nx hasseveral zeros in MOD planes where as they are nice single linegraphs with only (0, 0) as the... ...ngle linegraphs with only (0, 0) as the only zero. Further polynomials in MOD planes do not in generalfollows the usual or classical laws of differen... ...or classical laws of differentiation orintegration. Even finding roots of MOD polynomials happens to be verydifficult as they do not follow the funda... ...low the fundamental theorem ofalgebra, viz a nth degree polynomial p(x) in MOD plane or MODintervals do not have n roots for + and × are defined on th... ...e see for any p(x0.1) and q(x0.1)in R[x0.1]; p(x0.1) + q(x0.1) ∈ R[x0.1].8 MOD Functions For instance if 0.1 0.3 0.6 0.9 8 p...

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...the indeterminate?”. The authors have constructed a class of natural neutrosophic numbers. Further there are more natural neutrosophic numbers in the MOD interval [0, m). This concept is thoroughly analysed in the second chapter. Using all types of MOD planes and MOD intervals, the authors have generated both natural neutrosophic numbers and MOD neutrosophic numbers. Furth...

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...apter ThreeNATURAL NEUTROSOPHIC NUMBERS IN THEFINITE COMPLEX MODULO INTEGERAND MOD NEUTROSOPHIC NUMBERS 137FURTHER READING ... ...pt is thoroughly analysed inchapter two. Using all types of MOD planes and MOD intervals ... ...ed both natural neutrosophic numbers and MODneutrosophic numbers. Further the MOD intervals and MOD planes have a specialtype of zero divisors contri... ...f special pseudo zero divisors and MODneutrosophic numbers apart from natural (MOD) neutrosophicnilpotents, zero divisors and idempotents. Lots of ope... ... we define the operation of division clearly8 Natural Neutrosophic Numbers and MOD Neutrosophic… I 1 0 2 Z2 = {1, 0, , } = {1, 0... ...e 0 0 0denoted by I4 . 010 Natural Neutrosophic Numbers and MOD Neutrosophic… 1 3 2 0 4 , , , are denote... ...be known as natural neutrosophic semigroup.12 Natural Neutrosophic Numbers and MOD Neutrosophic… I 2 { Z2 , ×} = {0... ...we get a class of finite semirings which arenot strict semirings as 1 + 1 ≡ 0 (mod 2) and 1 ≠ 0. I 3 3 3 3 (I3 )2 = I3 and Z3 = {0,... ... I { Z3 , ×} is also only a semigroup.14 Natural Neutrosophic Numbers and MOD Neutrosophic… I Thus { Z3 , +, ×} is a semiring of or...

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...In this book authors for the first time develop the notion of MOD natural neutrosophic subset special type of topological spaces using MOD natural neutrosophic dual numbers or MOD natural neutrosophic finite complex number or MOD natural neutrosophic-neutrosophic numbers and so on to bu...

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... 4PREFACE In this book authors for the first time develop the notionof MOD natural neutrosophic subset special type of topologicalspaces using ... ... MODnatural neutrosophic finite complex number or MOD naturalneutrosophic-neutrosophic numbers and so on to build theirrespec... ...aturalneutrosophic-neutrosophic numbers and so on to build theirrespective MOD semigroups. Later they extend this concept to MOD interval... ...they extend this concept to MOD interval subsetsemigroups and MOD interval neutrosophic subset semigroups.Using these MOD interval semigr... ...val neutrosophic subset semigroups.Using these MOD interval semigroups and MOD interval naturalneutrosophic subset semigroups special ty... ...ype of subsettopological spaces are built. Further using these MOD subsets we build MOD intervalsubset matrix semigroups and ... ... subsets we build MOD intervalsubset matrix semigroups and MOD interval subset matrixspecial type of matrix topological spaces. ... ...e of matrix topological spaces. 5 Likewise using MOD interval natural neutrosophic subsetsmatrices semigroups we can build ... ...l natural neutrosophic subsetsmatrices semigroups we can build MOD interval naturalneutrosophic matrix subset special type of topologic...

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...In this book authors for the first time introduce a special type of fixed points using MOD square matrix operators. These special type of fixed points are different from the usual classical fixed points. A study of this is carried out in this book. Several interesting properties are developed in this regard. Th...

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... Special Type of Fixed Pointsof MOD Matrix Operators W. B. Vasantha Kandasamy Ilanthe... ...OINT THEORY 9 3Chapter ThreeFIXED ELEMENTS OF MOD-MATRIX OPERATORS 59Chapter FourFIXED POINTS OF MOD-MAT... ...is book authors for the first time introduce a specialtype of fixed points using MOD square matrix operators. Thesespecial type of fixed points are di... ...ixed points or special realized limitcycles are always guaranteed as we use only MOD matrices asoperators with its entries from modulo integers. Howev... ...nt different from the classical fixed points usingMOD matrix operators. When the MOD matrices are squarematrices they yield a fixed point which is def... ...trices they yield a fixed point which is defined as the realizedfixed point. The MOD matrices themselves serve as the operatorsfrom a collection of ro... ...rosophic integer or C(Z ) or 〈Z ∪ g〉 and so n n non. For MOD functions and their properties refer [21]. Clearly the map η : R... ... nfixed points [1]. However the study of realized fixed pointsarising from MOD matrix operators are entirely different fromthe usual or classica... ...r classical fixed points. We call a square matrix with entries from Z as the MOD nreal matrix operator. This study is car...

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...In this book authors for the first time define a special type of fixed points using MOD rectangular matrices as operators. In this case the special fixed points or limit cycles are pairs which is arrived after a finite number of iterations. Such study is both new and innovative for it can find lots of applic...

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... Special Type of Fixed Point Pairsusing MOD Rectangular Matrix Operators W. B. Vasantha Kandasamy ... ...this book authors for the first time define a special typeof fixed points using MOD rectangular matrices as operators. Inthis case the special fixed p... ... n n I n IC (Z ) are all of finite order we are sure to arrive at a MOD fixed npoint pair or a MOD limit cycle pair after a finite number... ...r Zn or C(Z ) or n n IC (Z ) and so on where the MOD directed bipartite graph takes n I Iits values... ...o make it easy for a nonmathematician. Several problems are suggested about MOD special fixedpoint pairs and MOD limit cycle pairs for the interes... ...uthors define, develop and describe aspecial type of fixed point theory in case MOD-matrix operators.Throughout this book by MOD-matrix operators we m... ... h = h n n n 2or 〈Z ∪ k〉; k = (n – 1)k. n These MOD matrix operators, operates on row vectors orcolumn vectors and aft... ...ir (fixed row vector or column vector) or a limitcycle pair. Thus using these MOD matrix operators we develop a newview to the fixed point theory in... ... are used. ForMOD theory refer [20-6].8 Special Type of Fixed Point Pairs using MOD … However if Z is replaced by Z or R or C or Q we see in ...

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...deo Game Mine Craft. It Tells How You Can Survive and How to Have Fun and Being Creative in Minecraft. There Are Also Fun Mods Like the Cheeze Portal Mod to Get on the Moon....

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... Jeddah (Arabia Saudită), unde autorul a susținut un seminar de neutrosofie la Universitatea King Abdulaziz, și Gallup (Statele Unite), unde predă în mod curent matematica studenților de la Universitatea New Mexico....

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... Abdulaziz, și Gallup (Statele Unite), unde predă în mod curent matematica studenților de la Universitatea...

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...Telelucrul, ca un nou mod de a lucra prin efectuarea unei activităţi (forme de muncă) flexibile în timp şi la distanţă, utilizând tehnologia informaţională şi comunicaţiile avansate, se concretizează în teleactivităţi şi teleservicii. În ultimi...

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...Telelucrul, ca un nou mod de a lucra prin efectuarea unei activităţi (forme de muncă) flexibile în timp şi la distanţă, utilizând tehnologia informaţională şi comunicaţiile avansate, se concretizează în teleactivităţi şi teleservicii....