8
8.0

Apr 2, 2021
04/21

by
Linfan Mao

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4
4.0

Apr 2, 2021
04/21

by
Linfan Mao

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eye 4

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9
9.0

Apr 2, 2021
04/21

by
Linfan Mao

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eye 9

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117
117

Jul 20, 2013
07/13

by
Linfan Mao

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A Smarandache multi-space is a union of $n$ different spaces equipped with some different structures for an integer $n\geq 2$, which can be both used for discrete or connected spaces, particularly for geometries and spacetimes in theoretical physics. This is the 4th part of multi-spaces considering applications of multi-spaces to theoretical physics, including the relativity theory, the M-theory and the cosmology. Multi-space models for $p$-branes and cosmos are constructed and some questions...

Source: http://arxiv.org/abs/math/0604483v1

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9.0

Apr 2, 2021
04/21

by
Linfan Mao

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127
127

Jul 20, 2013
07/13

by
Linfan Mao

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A Smarandache multi-space is a union of $n$ different spaces equipped with some different structures for an integer $n\geq 2$, which can be both used for discrete or connected spaces, particularly for geometries and spacetimes in theoretical physics. This paper is the first part on characterizing multi-spaces. Various algebraic multi-spaces with structures such as those of multi-groups, multi-rings, multi-vector spaces, multi-metric spaces, multi-operation systems are discussed and new results...

Source: http://arxiv.org/abs/math/0604480v1

73
73

Sep 18, 2013
09/13

by
Linfan Mao

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Combinatorics is a powerful tool for dealing with relations among objectives mushroomed in the past century. However, an more important work for mathematician is to apply combinatorics to other mathematics and other sciences not merely to find combinatorial behavior for objectives. Recently, such research works appeared on journals for mathematics and theoretical physics on cosmos. The main purpose of this paper is to survey these thinking and ideas for mathematics and cosmological physics,...

Source: http://arxiv.org/abs/math/0606702v2

83
83

Nov 20, 2015
11/15

by
Linfan Mao

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Applying this result, this paper discusses the →G-flow solutions on Schrodinger equation, Klein-Gordon equation and Dirac equation, i.e., the field equations of particles, bosons or fermions, answers previous questions by ”yes“, and establishes the many world interpretation of quantum mechanics of H. Everett by purely mathematics in logic, i.e., mathematical combinatorics.

Topics: G-flow, equations of particles

47
47

Sep 20, 2013
09/13

by
Linfan Mao; Yanpei Liu; Feng Tian

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A map is a connected topological graph cellularly embedded in a surface and a complete map is a cellularly embedded complete graph in a surface. In this paper, all automorphisms of complete maps of order n are determined by permutations on its vertices. Applying a scheme for enumerating maps on surfaces with a given underlying graph, the numbers of unrooted complete maps on orientable or non-orientable surfaces are obtained.

Source: http://arxiv.org/abs/math/0607790v1

4
4.0

Apr 2, 2021
04/21

by
Linfan Mao

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9
9.0

Apr 30, 2021
04/21

by
Linfan Mao (Editor in Chief)

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eye 9

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The International J. Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published quarterly comprising 100-150 pages approx. per volume, which publishes original research papers and survey articles in all aspects of Smarandache multi-spaces, Smarandache geometries, mathematical combinatorics, non-Euclidean geometry and topology and their applications to other sciences. Topics in detail to be covered...

Topics: Smarandache geometries, Smarandache curves, graphs, combinatorial maps, topology

7
7.0

May 3, 2021
05/21

by
Linfan Mao (Editor in Chief)

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The International J. Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published quarterly comprising 100-150 pages approx. per volume, which publishes original research papers and survey articles in all aspects of Smarandache multi-spaces, Smarandache geometries, mathematical combinatorics, non-Euclidean geometry and topology and their applications to other sciences. Topics in detail to be covered...

Topics: Smarandache geometries, Smarandache curves, graphs, combinatorial maps, topology, differential...

11
11

Apr 30, 2021
04/21

by
Linfan Mao (Editor in Chief)

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eye 11

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The International J. Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published quarterly comprising 100-150 pages approx. per volume, which publishes original research papers and survey articles in all aspects of Smarandache multi-spaces, Smarandache geometries, mathematical combinatorics, non-Euclidean geometry and topology and their applications to other sciences.

Topics: Smarandache geometries, Smarandache curves

86
86

Nov 20, 2015
11/15

by
Linfan MAO

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As a powerful technique for holding relations in things, combinatorics has experienced rapidly development in the past century, particularly, enumeration of configurations, combinatorial design and graph theory. However, the main objective for mathematics is to bring about a quantitative analysis for other sciences, which implies a natural question on combinatorics.

Topics: CC conjecture, Smarandache system, GL-system, non-solvable system of equations

51
51

Sep 20, 2013
09/13

by
Linfan Mao

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For an integer $m\geq 1$, a combinatorial manifold $\widetilde{M}$ is defined to be a geometrical object $\widetilde{M}$ such that for $\forall p\in\widetilde{M}$, there is a local chart $(U_p,\phi_p)$ enable $\phi_p:U_p\to B^{n_{i_1}}\bigcup B^{n_{i_2}}\bigcup...\bigcup B^{n_{i_{s(p)}}}$ with $B^{n_{i_1}}\bigcap B^{n_{i_2}}\bigcap...\bigcap B^{n_{i_{s(p)}}}\not=\emptyset$, where $B^{n_{i_j}}$ is an $n_{i_j}$-ball for integers $1\leq j\leq s(p)\leq m$. Topological and differential structures...

Source: http://arxiv.org/abs/math/0612760v1

Parallel lines are very important objects in Euclid plane geometry and its behaviors can be gotten by one’s intuition. But in a planar map geometry, a kind of the Smarandache geometries, the situation is complex since it may contains elliptic or hyperbolic points. This paper concentrates on the behaviors of parallel bundles in planar map geometries, a generalization of parallel lines in plane geometry and obtains characteristics for parallel bundles.

Topological and differential structures such as those of d-pathwise connected, homotopy classes, fundamental d-groups in topology and tangent vector fields, tensor fields, connections, Minkowski norms in differential geometry on these finitely combinatorial manifolds are introduced. Some classical results are generalized to finitely combinatorial manifolds. Euler-Poincare characteristic is discussed and geometrical inclusions in Smarandache geometries for various geometries are also presented...

Integral theory on these smoothly combinatorial manifolds are introduced. Some classical results, such as those of Stokes’ theorem and Gauss’ theorem are generalized to smoothly combinatorial manifolds in this paper.

14
14

Apr 25, 2021
04/21

by
Linfan Mao (Editor in Chief)

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The International J. Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published quarterly comprising 100-150 pages approx. per volume, which publishes original research papers and survey articles in all aspects of Smarandache multi-spaces, Smarandache geometries, mathematical combinatorics, non-Euclidean geometry and topology and their applications to other sciences. Topics in detail to be covered...

Topics: Smarandache geometries, Smarandache curves, graphs, combinatorial maps, topology, differential...

4
4.0

Apr 2, 2021
04/21

by
Linfan Mao

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eye 4

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comment 0

11
11

May 7, 2021
05/21

by
Linfan Mao (Editor in Chief)

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eye 11

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The International J. Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published quarterly comprising 100-150 pages approx. per volume, which publishes original research papers and survey articles in all aspects of Smarandache multi-spaces, Smarandache geometries, mathematical combinatorics, non-Euclidean geometry and topology and their applications to other sciences. Topics in detail to be covered...

Topics: Smarandache geometries, Smarandache curves, graphs, combinatorial maps, topology, differential...

49
49

Sep 19, 2013
09/13

by
Linfan Mao

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A Smarandache geometry is a geometry which has at least one Smarandachely denied axiom(1969), i.e., an axiom behaves in at least two different ways within the same space, i.e., validated and invalided, or only invalided but in multiple distinct ways and a Smarandache n-manifold is a n-manifold that support a Smarandache geometry. Iseri provided a construction for Smarandache 2-manifolds by equilateral triangular disks on a plane and a more general way for Smarandache 2-manifolds on surfaces,...

Source: http://arxiv.org/abs/math/0610307v1

A Smarandache multi-space is a union of n different spaces equipped with some different structures for an integer n ≥ 2, which can be both used for discrete or connected spaces, particularly for geometries and spacetimes in theoretical physics. This monograph concentrates on characterizing various multi-spaces including three parts altogether. The first part is on algebraic multi-spaces with structures, such as those of multi-groups, multirings, multi-vector spaces, multi-metric spaces,...

On a geometrical view, the conception of map geometries is introduced, which is a nice model of the Smarandache geometries, also new kind of and more general intrinsic geometry of surfaces. Some open problems related combinatorial maps with the Riemann geometry and Smarandache geometries are presented.

Combinatorics is a powerful tool for dealing with relations among objectives mushroomed in the past century. However, an more important work for mathematician is to apply combinatorics to other mathematics and other sciences not merely to find combinatorial behavior for objectives. Recently, such research works appeared on journals for mathematics and theoretical physics on cosmos. The main purpose of this paper is to survey these thinking and ideas for mathematics and cosmological physics,...

0
0.0

Dec 2, 2021
12/21

by
Linfan Mao

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There are no theory on antimatter structure unless the mirror of its normal matter, with the same mass but opposite qualities such as electric charge, spin,· · ·, etc. to its matter counterparts holding with the Standard Model of Particle. In theory, a matter will be immediately annihilated if it meets with its antimatter, leaving nothing unless energy behind, and the amounts of matter with that of antimatter should be created equally in the Big Bang. So, none of us should exist in principle...

This book is for students and young scholar, words of a mathematician, also a physicist and an economic scientist to them through by the experience himself and his philosophy. By recalling each of his growth and success steps, i.e., beginning as a construction worker, obtained a certification of undergraduate learn by himself and a doctor’s degree in university, promoting mathematical combinatorics for contradictory system on the reality of things and economic systems, and after then...

A Smarandache geometry is a geometry which has at least one Smarandachely denied axiom(1969), i.e., an axiom behaves in at least two different ways within the same space, i.e., validated and invalided, or only invalided but in multiple distinct ways and a Smarandache n-manifold is a nmanifold that support a Smarandache geometry. Iseri provided a construction for Smarandache 2-manifolds by equilateral triangular disks on a plane and a more general way for Smarandache 2-manifolds on surfaces,...

9
9.0

May 6, 2021
05/21

by
Linfan Mao (Editor in Chief)

texts

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eye 9

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favorite 0

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comment 0

The International J. Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published quarterly comprising 100-150 pages approx. per volume, which publishes original research papers and survey articles in all aspects of Smarandache multi-spaces, Smarandache geometries, mathematical combinatorics, non-Euclidean geometry and topology and their applications to other sciences. Topics in detail to be covered...

Topics: Smarandache geometries, Smarandache curves

16
16

May 7, 2021
05/21

by
Linfan Mao (Editor in Chief)

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eye 16

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favorite 0

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The International J. Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published quarterly comprising 100-150 pages approx. per volume, which publishes original research papers and survey articles in all aspects of Smarandache multi-spaces, Smarandache geometries, mathematical combinatorics, non-Euclidean geometry and topology and their applications to other sciences. Topics in detail to be covered...

Topics: Smarandache geometries, Smarandache curves, graphs, combinatorial maps, topology, differential...

11
11

Apr 2, 2021
04/21

by
Linfan Mao

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eye 11

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comment 0

0
0.0

Nov 30, 2021
11/21

by
Linfan Mao

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eye 0

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This book is for young students, words of one mathematician, also being a physicist and an engineer to young students. By recalling each of his growth and success steps, beginning as a construction worker, obtained a certification of undergraduate learn by himself and a doctor’s degree in university, after then continuously overlooking these obtained achievements, raising new scientific objectives in mathematics and physics by Smarandache’s notion and combinatorial principle for his...

0
0.0

Nov 30, 2021
11/21

by
Linfan Mao

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There is a bidding law and regulation system in China. For getting or issue a contract, a contractor or an employer should understand all these laws and regulations first and then know how they work. This book contains the main materials of this kind for a construction contract, and contains four chapters. Chapter 1 is a survey of bidding for a construction contact. The laws and regulations for bidding in China are interpreted in this chapter. A Smarandache multi-space model for bidding is...

0
0.0

Nov 30, 2021
11/21

by
Linfan Mao

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A tendering is a negotiating process for a contract through by a tenderer issuing an invitation, bidders submitting bidding documents and the tenderer accepting a bidding by sending out a notification of award. It is a main measure for completing market economy in China. According to laws and new regulations, rulers and codes new issued, this book introduces fundamental knowledge and techniques in theory and practice for a construction contract by bids, such as those of macro-economic policies,...

114
114

Nov 8, 2015
11/15

by
LINFAN MAO

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eye 114

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A Smarandache multi-space is a union of n different spaces equipped with some different structures for an integer n ≥ 2, which can be used both for discrete or connected spaces, particularly for geometries and spacetimes in theoretical physics.

Topics: theoretical physics, Einstein

160
160

Nov 8, 2015
11/15

by
LINFAN MAO

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eye 160

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A combinatorial map is a connected topological graph cellularly embedded in a surface. As a linking of combinatorial configuration with the classical mathematics, it fascinates more and more mathematician’s interesting. Its function and role in mathematics are widely accepted by mathematicians today.

Topics: combinatorial map, surface

780
780

Nov 6, 2015
11/15

by
Linfan MAO

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Theory and Practice in Construction Project Bidding & Purchase

Topics: Theory, Practice

112
112

Nov 7, 2015
11/15

by
Linfan Mao

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On SMARANDACHE GEOMETRIES & MAP THEORY WITH APPLICATIONS.

Topics: Automorphism groups of maps, surfaces and Smarandache geometries