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7.0

Apr 2, 2021
04/21

by
Linfan Mao

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127
127

Jul 20, 2013
07/13

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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

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3.0

Apr 2, 2021
04/21

by
Linfan Mao

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A combinatorial map is a connected topological graph cellularly embedded in a surface. This monograph concentrates on the automorphism group of a map, which is related to the automorphism groups of a Klein surface and a Smarandache manifold, also applied to the enumeration of unrooted maps on orientable and non-orientable surfaces. A number of results for the automorphism groups of maps, Klein surfaces and Smarandache manifolds and the enumeration of unrooted maps underlying a graph on...

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10.0

Apr 2, 2021
04/21

by
Linfan Mao

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7.0

Apr 2, 2021
04/21

by
Linfan Mao

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6.0

Apr 2, 2021
04/21

by
Linfan Mao

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6.0

Apr 2, 2021
04/21

by
Linfan Mao

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3.0

Apr 2, 2021
04/21

by
Linfan Mao

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45
45

Sep 18, 2013
09/13

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. As a useful way of purchasing, there are many norms and rulers for it in the purchasing guides of the World Bank, the Asian Development Bank, $...$, also in contract conditions of various consultant associations. In China, there is a law and regulation system for tendering and bidding....

Source: http://arxiv.org/abs/math/0605495v1

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63

Sep 22, 2013
09/13

by
Linfan Mao

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A manifold $M^n$ inherits a labeled $n$-dimensional graph $\widetilde{M}[G^L]$ structure consisting of its charts. This structure enables one to characterize fundamental groups of manifolds, classify those of locally compact manifolds with finite non-homotopic loops by that of labeled graphs $G^L$. As a by-product, this approach also concludes that {\it every homotopy $n$-sphere is homeomorphic to the sphere $S^n$ for an integer $n\geq 1$}, particularly, the Perelman's result for $n=3$.

Source: http://arxiv.org/abs/1004.1231v2

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6.0

Apr 2, 2021
04/21

by
Linfan Mao

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2.0

Apr 2, 2021
04/21

by
Linfan Mao

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41

Sep 23, 2013
09/13

by
Linfan Mao

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A Smarandache multi-space is a union of $n$ spaces $A_1,A_2,..., A_n$ with some additional conditions holding. Combining Smarandache multi-spaces with classical metric spaces, the conception of multi-metric space is introduced. Some characteristics of a multi-metric space are obtained and Banach's fixed-point theorem is generalized in this paper.

Source: http://arxiv.org/abs/math/0510480v1

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4.0

Apr 2, 2021
04/21

by
Linfan Mao

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37

Sep 19, 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 $1\leq j\leq s(p)\leq m$. Integral theory on these smoothly...

Source: http://arxiv.org/abs/math/0703400v1

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58

Sep 20, 2013
09/13

by
Linfan Mao

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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 sutation is complex since it may contains elliptic or hyperbolic points. This paper concentrates on the behavior of parallel bundles, a generazation of parallel lines in plane geometry and obtains characteristics for for parallel bundles.

Source: http://arxiv.org/abs/math/0506386v1

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112

Sep 23, 2013
09/13

by
Linfan Mao

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A Smarandache multi-space is a union of $n$ spaces $A_1,A_2,..., A_n$ with some additional conditions holding. Combining classical of a group with Smarandache multi-spaces, the conception of a multi-group space is introduced in this paper, which is a generalization of the classical algebraic structures, such as the group, filed, body, $...$, etc.. Similar to groups, some characteristics of a multi-group space are obtained in this paper.

Source: http://arxiv.org/abs/math/0510427v1

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,...

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3.0

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,...

A complex system S consists m components, maybe inconsistence with m ≥ 2, such as those of biological systems or generally, interaction systems and usually, a system with contradictions, which implies that there are no a mathematical subfield applicable.

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9.0

Apr 2, 2021
04/21

by
Linfan Mao

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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

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59

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 third part on multi-spaces concertrating on Smarandache geometries, including those of map geometries, planar map geometries and pseudo-plane geometries. In where, the Finsler geometry, particularly the Riemann geometry appears as a...

Source: http://arxiv.org/abs/math/0604482v1

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42

Sep 23, 2013
09/13

by
Linfan Mao

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As we known, the {\it Seifert-Van Kampen theorem} handles fundamental groups of those topological spaces $X=U\cup V$ for open subsets $U, V\subset X$ such that $U\cap V$ is arcwise connected. In this paper, this theorem is generalized to such a case of maybe not arcwise-connected, i.e., there are $C_1$, $C_2$,$..., C_m$ arcwise-connected components in $U\cap V$ for an integer $m\geq 1$, which enables one to find fundamental groups of combinatorial spaces by that of spaces with theirs underlying...

Source: http://arxiv.org/abs/1006.4071v1

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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

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4.0

Apr 2, 2021
04/21

by
Linfan Mao

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4.0

Apr 2, 2021
04/21

by
Linfan Mao

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eye 4

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119
119

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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4.0

Apr 2, 2021
04/21

by
Linfan Mao

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11
11

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...

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13

Apr 30, 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: Smarandache geometries, Smarandache curves

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8.0

May 5, 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...

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15

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...

10
10.0

May 3, 2021
05/21

by
Linfan Mao (Editor in Chief)

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eye 10

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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...

10
10.0

May 7, 2021
05/21

by
Linfan Mao (Editor in Chief)

texts

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eye 10

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

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9.0

Apr 2, 2021
04/21

by
Linfan Mao

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Papers on Extending Homomorphism Theorem to Multi-Systems, A Double Cryptography Using the Smarandache Keedwell Cross Inverse Quasigroup, the Time-like Curves of Constant Breadth in Minkowski 3-Space, Actions of Multi-groups on Finite Sets, and other topics.

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8.0

Apr 3, 2021
04/21

by
Linfan Mao

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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

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4.0

Apr 2, 2021
04/21

by
Linfan Mao

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11

Apr 2, 2021
04/21

by
Linfan Mao

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The Scientific Elements is an international book series. This series is devoted to the applications of Smarandache’s notions and to mathematical combinatorics. These are two heartening mathematical theories for sciences and can be applied to many fields. This book selects 12 papers for showing applications of Smarandache's notions, such as those of Smarandache multi-spaces, Smarandache geometries, Neutrosophy, etc. to classical mathematics, theoretical and experimental physics, logic,...

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5.0

Apr 2, 2021
04/21

by
Linfan Mao

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5.0

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...

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7.0

Apr 25, 2021
04/21

by
Linfan Mao (Editor in Chief)

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eye 7

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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...

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52

Sep 23, 2013
09/13

by
Linfan Mao

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A Smarandache multi-space is a union of $n$ spaces $A_1,A_2,..., A_n$ with some additional conditions holding. Combining Smarandache multi-spaces with linear vector spaces in classical linear algebra, the conception of multi-vector spaces is introduced. Some characteristics of a multi-vector space are obtained in this paper.

Source: http://arxiv.org/abs/math/0510479v1

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8.0

Apr 2, 2021
04/21

by
Linfan Mao

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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,...

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4.0

Apr 2, 2021
04/21

by
Linfan Mao

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