132 citations
- Centre National de la Recherche ScientifiqueFR12 papers
- Romanian AcademyRO10 papers
- Université Côte d'AzurFR8 papers
- IMAR - Institutul de Matematică „Simion Stoilow” al Academiei RomâneRO7 papers
- Institute of MathematicsPL6 papers
- National Academy of Sciences of UkraineUA6 papers
- Institut national de recherche en sciences et technologies du numériqueFR5 papers
- Laboratoire Jean-Alexandre DieudonnéFR5 papers
- University of Duisburg-EssenDE5 papers
- Academia Oamenilor de Știință din RomâniaRO3 papers
- Government College University, LahorePK3 papers
- Institut Universitaire de FranceFR3 papers
104 papers
Extending the (Elementary) Mathematical Data Model and MatBase with two new constraint types: inexistence and anti-existence
Christian Mancas
This research paper introduces two new constraint types and four subtypes of database constraints added to our (Elementary) Mathematical Data Model, which are the duals of the exis…
Translating database mathematical schemes into relational database software applications with MatBase
Christian Mancas, Diana Christina Mancas
We present a pseudocode algorithm for translating our (Elementary) Mathematical Data Model schemes into relational ones and associated sets of non-relational constraints, used by M…
Gravity and the Superposition Principle
Hristu Culetu
The relation between gravity and quantum mechanics is investigated in this work. The link is given by the wave packet expansion process, rooted from the Uncertainty Principle. The…
The (Elementary) Mathematical Data Model Revisited
Christian Mancas
This paper presents the current version of our (Elementary) Mathematical Data Model ((E)MDM), which is based on the naïve theory of sets, relations, and functions, as well as on th…
On geodesics in spherical Rindler space
Hristu Culetu
The geodesics in various spherical Rindler frames are investigated. A display of some kinematical quantities of the spacetime is given. The constant acceleration from the metric ac…
On Enforcing Existence and Non-Existence Constraints in MatBase
Christian Mancas
Existence constraints were defined in the Relational Data Model, but, unfortunately, are not provided by any Relational Database Management System, except for their NOT NULL partic…