This book provides a survey of mathematics and physics by CCconjecture, i.e., a mathematical science can be reconstructed from or made bycombinatorialization, formally presented by the author in 2006.
Chapter 3 is a survey of Smarandache geometries. The topologicalspaces with fundamental groups, covering space and simplicial homology group,Euclidean spaces, differential forms in Rn and Stokes theorem on simplicialcomplexes can be found in the first two sections. Then Smarandachegeometries, map geometries, pseudo-Euclidean spaces, Smarandache manifolds,principal fiber bundles and geometrical inclusions in differentialSmarandache geometries are established.
This study aimed to examine the teaching and learning processes of an Elective Applied Mathematics course according to the opinions of mathematics teachers and students. Data was collected through interviews and focus group interviews, and the content analysis method was performed to interpret data. Results revealed that the requirements of the curriculum and student-centered education approach were generally not fulfilled. Therefore, meeting student expectations was not at the desired level. However, some teachers expressed that enriching the course with mathematical modeling and engaging problems would affect students' attitudes towards mathematics, in line with the general idea of the course. In general, the lack of school resources and limited teaching staff was a problem that restrict the instruction. As a recommendation, Elective Applied Mathematics teachers and students should be informed about the aim of the course. Moreover, teachers should be experienced in mathematical modeling.
The synthesis of coordination compounds with sulfur containing ligands has been in the center of interest in chemical research for many years  -  . A survey of literature on dithiophosphato derivatives of titanium and organotitanium reveals that only simple derivatives (e.g., those containing organic and halo substituents on titanium on addition to the dithiophosphato group) have been described   . Derivatives containing other monodentate ligands in addition to dithiophosphate have not been isolated. Dialkyl and alkylenedithiophosphates exhibit a variety of coordination modes of bonding  -  and their metal complexes have important biochemical, analytical and industrial applications  -  . The biocidial importance of organophosphorus compounds is well known. The synthesis of organotitanium (IV) dithiophosphate compounds provide model systems of interest because the presence of biologically active organophosphorus and organo titanium moieties in a single molecule could provide new information about the bioactivity of titanium compound. In view of the ready conversion of Ti-Cl bonded into Ti-S bonded compounds, the preparative route chosen for the above compounds was the direct interaction between Biscyclopentadienyl Titanium (IV) dichloride and dialkyl (or alkylene) diothiophosphoric acids. Thus, the reactions of Titanocene with dithiophosphoric acids have been carried out in 1:2 molar ratios under mild condition.
This is the official publication of the Association for Computing Machinery (ACM) Special Interest Group on Management of Data (SIGMOD). It is published four times a year. In addition to research articles, it features survey articles on emerging topics, articles on database principles, interviews with data management researchers, event reports, introductions of research groups worldwide and descriptions of innovative systems and prototypes. 2b1af7f3a8