Edit Profile (opens in new tab) Carbó-Dorca, Ramon Co-Author Distance Author ID: carbo-dorca.ramon Published as: Carbó-Dorca, Ramon; Carbó-Dorca, R.; Carbó-Dorca, Ramón more...less External Links: ORCID Documents Indexed: 114 Publications since 1996 1 Contribution as Editor Co-Authors: 19 Co-Authors with 46 Joint Publications 244 Co-Co-Authors all top 5 Co-Authors 69 single-authored 22 Besalú, Emili 6 Bultinck, Patrick 5 Nath, Debraj 3 Chakraborty, Tanmoy 2 Chang, Jing 2 Niño, Alfonso 2 Reyes, Sebastián A. 1 Amat, Lluis 1 Ayers, Paul W. 1 Bach, Albert 1 Balasubramanian, Krishnan 1 Castro Perelman, Carlos 1 Estrada, Ernesto 1 Gallegos, Ana 1 Mercado, Luz Dary 1 Muñoz-Caro, Camelia 1 Ponec, Robert 1 Robert, David 1 Sen, K. D. Serials 112 Journal of Mathematical Chemistry 1 Match 1 MATCH - Communications in Mathematical and in Computer Chemistry all top 5 Fields 74 Quantum theory (81-XX) 42 Biology and other natural sciences (92-XX) 10 Statistical mechanics, structure of matter (82-XX) 6 Number theory (11-XX) 6 Geometry (51-XX) 5 Combinatorics (05-XX) 5 Functional analysis (46-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Partial differential equations (35-XX) 4 Statistics (62-XX) 3 Mathematical logic and foundations (03-XX) 3 Numerical analysis (65-XX) 2 General and overarching topics; collections (00-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 2 Probability theory and stochastic processes (60-XX) 2 Optics, electromagnetic theory (78-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 98 Publications have been cited 551 times in 106 Documents Cited by ▼ Year ▼ Shells, point cloud huts, generalized scalar products, cosines and similarity tensor representations in vector semispaces. Zbl 1238.92068 Carbó-Dorca, Ramon; Besalú, Emili 26 2012 A mathematical discussion on density and shape functions, vector semispaces and related questions. Zbl 1052.81669 Bultinck, Patrick; Carbó-Dorca, Ramon 25 2004 Shell partition and metric semispaces: Minkowski norms, root scalar products, distances and cosines of arbitrary order. Zbl 1027.81512 Carbó-Dorca, Ramon 24 2002 Quantum polyhedra, definitions, statistics and the construction of a collective quantum similarity index. Zbl 1310.81023 Carbó-Dorca, Ramon 18 2015 Centroid origin shift of quantum object sets and molecular point clouds description and element comparisons. Zbl 1403.81081 Carbó-Dorca, Ramon; Besalú, Emili 15 2012 Natural vector spaces (inward power and Minkowski norm of a natural vector, natural Boolean hypercubes) and a Fermat’s last theorem conjecture. Zbl 1380.11094 Carbó-Dorca, Ramon 15 2017 \(N\)-dimensional Boolean hypercubes and the Goldbach conjecture. Zbl 1345.92168 Carbó-Dorca, Ramon 15 2016 Quantum similarity and discrete representation of molecular sets. Zbl 1227.92053 Mercado, Luz Dary; Carbó-Dorca, Ramon 14 2011 Tagged sets, convex sets and quantum similarity measures. Zbl 0931.92034 Carbó-Dorca, Ramon 13 1998 Molecular quantum similarity measures in Minkowski metric vector semispaces. Zbl 1217.81165 Carbó-Dorca, Ramon 13 2008 Inward matrix product algebra and calculus as tools to construct space–time frames of arbitrary dimensions. Zbl 1021.81010 Carbó-Dorca, Ramon 13 2001 Definition of norm coherent generalized scalar products and quantum similarity. Zbl 1200.81077 Carbó-Dorca, Ramon 12 2010 Quantum QSAR and the eigensystems of stochastic quantum similarity matrices. Zbl 1014.81033 Carbó-Dorca, Ramon 12 2000 Multimolecular polyhedra and QSPR. Zbl 1296.92239 Carbó-Dorca, Ramon 11 2014 Collective Euclidian distances and quantum similarity. Zbl 1402.92444 Carbó-Dorca, Ramon 10 2013 Fuzzy sets and Boolean tagged sets. Zbl 0899.04006 Carbó-Dorca, Ramon 9 1997 On the statistical interpretation of density functions: Atomic shell approximation, convex sets, discrete quantum chemical molecular representations, diagonal vector spaces and related problems. Zbl 0909.92039 Carbó-Dorca, Ramon 9 1998 Quantum similarity, volume functions and generalized Carbó indices. Zbl 1231.81093 Carbó-Dorca, Ramon 9 2011 A study on Goldbach conjecture. Zbl 1367.92134 Carbó-Dorca, Ramon 9 2016 An isometric representation problem in quantum multimolecular polyhedra and similarity. Zbl 1331.81429 Carbó-Dorca, Ramon 9 2015 About Erdös discrepancy conjecture. Zbl 1355.11080 Carbó-Dorca, Ramon 9 2016 Mathematical aspects of the LCAO MO first order density function. V: Centroid shifting of MO shape functions basis set, properties and applications. Zbl 1447.81206 Carbó-Dorca, Ramon 9 2013 Smooth function topological structure descriptors based on graph-spectra. Zbl 1217.05135 Carbó-Dorca, Ramon 8 2008 About some questions relative to the arbitrariness of signs: their possible consequences in matrix signatures definition and quantum chemical applications. Zbl 1052.81670 Carbó-Dorca, Ramon 8 2003 Quantum similarity matrices column set as holograms of DF molecular point clouds. Zbl 1310.81161 Carbó-Dorca, Ramon 8 2012 Time vectors and particle swarms defined as polyhedra in spherically enfolded spaces. Zbl 1367.92133 Carbó-Dorca, Ramon 7 2016 Least squares estimation of unknown molecular properties and quantum QSPR fundamental equation. Zbl 1331.81428 Carbó-Dorca, Ramon 7 2015 A Gaussian holographic theorem and the projection of electronic density functions into the surface of a sphere. Zbl 1305.81142 Carbó-Dorca, Ramon; Besalú, Emili 7 2010 Boolean hypercubes as time representation holders. Zbl 1392.83031 Carbó-Dorca, Ramon 6 2018 DNA, unnatural base pairs and hypercubes. Zbl 1390.92096 Carbó-Dorca, Ramon 6 2018 Infinite-dimensional time vectors as background building blocks of a space-time frame structure. Zbl 1052.81680 Carbó-Dorca, Ramon 6 2004 Scaled Euclidean distances: a general dissimilarity index with a suitably defined geometrical foundation. (Scaled euclidian distances: a general dissimilarity index with a suitably defined geometrical foundation.) Zbl 1317.51020 Carbó-Dorca, Ramon 6 2012 A quantum similarity matrix (QSM) Aufbau procedure. Zbl 1192.81409 Carbó-Dorca, Ramon 6 2008 Role of the structure of Boolean hypercubes when used as vectors in natural (Boolean) vector semispaces. Zbl 1414.92223 Carbó-Dorca, Ramon 6 2019 Mathematical aspects of the LCAO MO first order density function. IV: A discussion on the connection of Taylor series expansion of electronic density (TSED) function with the holographic electron density theorem (HEDT) and the Hohenberg-Kohn theorem (HKT). Zbl 1226.81314 Carbó-Dorca, R.; Besalú, E. 5 2011 Nonlinear terms & variational approach in quantum QSPR. Zbl 1172.81334 Carbó-Dorca, Ramon 5 2004 On the nature of atomic shell approximation (ASA) electrostatic molecular potentials (EMP). Zbl 1244.92069 Carbó-Dorca, Ramon; Besalú, Emili 5 2012 Refinement of a generalized Fermat’s last theorem conjecture in natural vector spaces. Zbl 1380.11095 Carbó-Dorca, Ramon; Muñoz-Caro, Camelia; Niño, Alfonso; Reyes, Sebastián 5 2017 Cantor-like transfinite sequences and Gödel-like incompleteness revealed by means of Mersenne transfinite dimensional Boolean hypercube concatenation. Zbl 1432.92112 Carbó-Dorca, Ramon 5 2020 Enfolded conformational spaces: definition of the chemical quantum mechanical multiverse under Born-Oppenheimer approximation. Zbl 1447.81213 Carbó-Dorca, Ramon 5 2013 Geometry of \(n\)-dimensional Euclidean space Gaussian enfoldments. Zbl 1304.51004 Carbó-Dorca, Ramon; Besalú, Emili 4 2011 Heisenberg’s relations in discrete \(N\)-dimensional parameterized metric vector spaces. Zbl 1057.46061 Carbó-Dorca, Ramon 4 2004 Molecular nuclear fields: a naïve perspective. Zbl 1102.81334 Carbó-Dorca, Ramon 4 2005 Descriptors and probability distributions in MO theory: weighted Mulliken matrices and molecular quantum similarity measures. Zbl 1101.81353 Carbó-Dorca, Ramon 4 2006 An isometric representation problem in quantum multimolecular polyhedra and similarity: II: Synisometry. Zbl 1331.81430 Carbó-Dorca, Ramon 4 2015 Mathematical aspects of the LCAO MO first order density function. I: Atomic partition, metric structure and practical applications. Zbl 1198.81209 Carbó-Dorca, Ramon 4 2008 Mathematical aspects of the LCAO MO first order density function. II: Relationships between density functions. Zbl 1255.81238 Carbó-Dorca, Ramon 4 2008 Variational principle, Hohenberg-Kohn theorem, and density function origin shifts. Zbl 1321.49079 Carbó-Dorca, Ramon 4 2013 Universal transformation and non-linear connection between experimental and calculated property vectors in QSPR. Zbl 1414.92224 Carbó-Dorca, Ramon 4 2019 Analysis of solutions of time-dependent Schrödinger equation of a particle trapped in a spherical box. Zbl 1496.81053 Nath, Debraj; Carbó-Dorca, Ramon 4 2022 A quantum similarity discussion about Einstein-Podolsky-Rosen (EPR) paradox in Gaussian enfolded spaces. Zbl 1448.81096 Chang, Jing; Carbó-Dorca, Ramon 4 2020 On density function coordinate matrix. Zbl 1312.81016 Carbó-Dorca, Ramon 4 2013 Generalized scalar products in Minkowski metric spaces. Zbl 1467.51004 Carbó-Dorca, Ramon 4 2021 About the concept of chemical space: a concerned reflection on some trends of modern scientific thought within theoretical chemical lore. Zbl 1327.92076 Carbó-Dorca, Ramon 4 2013 Position-momentum Heisenberg uncertainty in Gaussian enfoldments of euclidian space. Zbl 1327.81010 Carbó-Dorca, Ramon 4 2013 EMP as a similarity measure: a geometric point of view. Zbl 1447.81214 Carbó-Dorca, Ramon; Besalú, Emili 4 2013 On Einstein-Podolsky-Rosen paradox. Zbl 1119.81009 Carbó-Dorca, Ramon 3 2007 The general Gaussian product theorem. Zbl 1447.81205 Besalú, Emili; Carbó-Dorca, Ramon 3 2011 \(n\)-dimensional Euclidean space Gaussian enfoldment. Zbl 1304.51005 Besalú, E.; Carbó-Dorca, R. 3 2011 Deduction of Heisenberg relations and Schrödinger equation through the structure of \(N\)-dimensional parameterized metric vector spaces. Zbl 1217.81050 Carbó-Dorca, Ramon 3 2005 Diagonal coefficient representation of density functions and quantum similarity measures. Zbl 1217.81164 Carbó-Dorca, Ramon 3 2008 A general procedure to obtain quantum mechanical charge and bond order molecular parameters. Zbl 1056.81085 Carbó-Dorca, Ramon; Bultinck, Patrick 3 2004 Symmetrical overlap transformations of function basis sets: the LCAO MO and quantum similarity practical cases. Zbl 1244.92068 Carbó-Dorca, Ramon 3 2012 Coulomb repulsion, point-like nuclear charges, Dirac paradox, soft nuclear charge density and hypermultiplet nuclear repulsion. Zbl 1331.81421 Carbó-Dorca, Ramon 3 2015 Hypercubes defined on \(n\)-ary sets, the Erdös-Faber-Lovász conjecture on graph coloring, and the description spaces of polypeptides and RNA. Zbl 1429.92112 Carbó-Dorca, Ramon; Chakraborty, Tanmoy 3 2019 Transformation of Boolean hypercube vertices into unit interval elements: QSPR workout consequences. Zbl 1414.92222 Carbó-Dorca, Ramon 3 2019 Fuzzy hypercubes and their time-like evolution. Zbl 1454.05079 Chang, Jing; Carbó-Dorca, Ramon 3 2020 Shadows’ hypercube, vector spaces, and non-linear optimization of QSPR procedures. Zbl 1486.92335 Carbó-Dorca, Ramon 3 2022 A naïve geometrical perspective of Fukui functions: definition of Fukui function skew symmetric matrices described on density function sets. Zbl 1447.81212 Carbó-Dorca, Ramon 3 2013 The relationship between the eigenvalues and eigenvectors of a similarity matrix and its associated Carbó index matrix. Zbl 1213.92076 Ayers, Paul W.; Carbó-Dorca, Ramon 2 2011 A naive look on the Hohenberg-Kohn theorem. Zbl 0966.81015 Sen, K. D.; Besalú, Emili; Carbó-Dorca, Ramon 2 1999 A discussion on the Einstein-Podolski-Rosen (EPR) effect* in a unique wavefunction quantum mechanical framework. Zbl 1100.81007 Carbó-Dorca, Ramon 2 2006 Quantum mechanical basis for Mulliken population analysis. Zbl 1056.81086 Carbó-Dorca, Ramon; Bultinck, Patrick 2 2004 Analysis of a general theorem concerning two non-commuting Hermitian matrices: Quantum mechanical implications for ground and excited states. Zbl 1029.81508 Carbó-Dorca, Ramon; Bultinck, Patrick 2 2003 Mathematical aspects of the LCAO MO first order density function. III: A general localization procedure. Zbl 1255.81239 Carbó-Dorca, Ramon; Bultinck, Patrick 2 2008 Riemannian three dimensional molecular spaces. Zbl 1162.92045 Carbó-Dorca, Ramon 2 2008 Completely soft molecular electrostatic potentials (CoSMEP) and total density functions. Zbl 1271.92008 Besalú, Emili; Carbó-Dorca, Ramon 2 2013 Extended Minkowski spaces, zero norms, and Minkowski hypersurfaces. Zbl 1484.46026 Carbó-Dorca, Ramon; Chakraborty, Tanmoy 2 2021 On the extension of quantum similarity to atomic nuclei: Nuclear quantum similarity. Zbl 0931.92035 Robert, David; Carbó-Dorca, Ramon 1 1998 Logical Kronecker delta deconstruction of the absolute value function and the treatment of absolute deviations. Zbl 1217.65118 Carbó-Dorca, Ramon 1 2011 Quantum chemistry, Sobolev spaces and SCF. Zbl 0996.81528 Bach, Albert; Amat, Lluis; Besalú, Emili; Carbó-Dorca, Ramon; Ponec, Robert 1 2000 Extended Sobolev and Hilbert spaces and approximate stationary solutions for electronic systems within the nonlinear Schrödinger equation. Zbl 0996.81012 Carbó-Dorca, Ramon; Besalú, Emili 1 2001 Generation of molecular fields, quantum similarity measures and related questions. Zbl 1100.81511 Carbó-Dorca, Ramon; Besalú, Emili 1 2006 An iterative method to solve the algebraic eigenvalue problem. Zbl 0895.65009 Besalú, Emili; Carbó-Dorca, Ramon 1 1997 Extending molecular similarity to energy surfaces: Boltzmann similarity measures and indices. Zbl 0902.62135 Carbó-Dorca, Ramon; Besalú, Emili 1 1996 Rayleigh-Schrödinger perturbation theory: Practical implementation of matrix and vector formalisms and description of an heuristic sufficiency convergence criterion. Zbl 0900.81087 Besalú, Emili; Carbó-Dorca, Ramon 1 1997 A postulate involving quantum mechanical momentum in position space, density function expression of the kinetic energy and Heisenberg’s uncertainty relation. Zbl 1304.82010 Carbó-Dorca, Ramon; Besalú, Emili 1 2014 On the nature of the collective quantum mechanical description of molecular atoms and bonds. Zbl 1358.82010 Carbó-Dorca, Ramon 1 2016 A theorem on the Gram matrix of a polyhedron. Zbl 1364.15023 Carbó-Dorca, Ramon 1 2017 A study on the centroid vector of a polyhedron. Zbl 1349.46006 Carbó-Dorca, Ramon 1 2016 Particle coordinates and discrete molecular description: a geometric point of view on a twofold dimensionality environment. Zbl 1358.92105 Carbó-Dorca, Ramon 1 2013 Average energy and quantum similarity of a time dependent quantum system subject to Pöschl-Teller potential. Zbl 1487.81078 Carbó-Dorca, Ramon; Nath, Debraj 1 2022 Determination of unknown molecular properties in molecular spaces. Zbl 07496319 Carbó-Dorca, Ramon 1 2022 Theoretical and quantum chemistry at the dawn of the 21st century. Zbl 1393.92001 1 2018 Quantum similarity index and Rényi complexity ratio of Kratzer type potential and compared with that of inverse square and Coulomb type potentials. Zbl 1521.81020 Nath, Debraj; Carbó-Dorca, Ramon 1 2023 Quantum similarity and QSPR in Euclidean-, and Minkowskian-Banach spaces. Zbl 1521.81245 Carbó-Dorca, Ramon 1 2023 Extension of Fermat’s last theorem in Minkowski natural spaces. Zbl 1470.11050 Carbó-Dorca, Ramon; Reyes, Sebastián; Niño, Alfonso 1 2021 Function extended spaces. Zbl 1267.92061 Carbó-Dorca, Ramon; Besalú, Emili 1 2013 Quantum similarity index and Rényi complexity ratio of Kratzer type potential and compared with that of inverse square and Coulomb type potentials. Zbl 1521.81020 Nath, Debraj; Carbó-Dorca, Ramon 1 2023 Quantum similarity and QSPR in Euclidean-, and Minkowskian-Banach spaces. Zbl 1521.81245 Carbó-Dorca, Ramon 1 2023 Analysis of solutions of time-dependent Schrödinger equation of a particle trapped in a spherical box. Zbl 1496.81053 Nath, Debraj; Carbó-Dorca, Ramon 4 2022 Shadows’ hypercube, vector spaces, and non-linear optimization of QSPR procedures. Zbl 1486.92335 Carbó-Dorca, Ramon 3 2022 Average energy and quantum similarity of a time dependent quantum system subject to Pöschl-Teller potential. Zbl 1487.81078 Carbó-Dorca, Ramon; Nath, Debraj 1 2022 Determination of unknown molecular properties in molecular spaces. Zbl 07496319 Carbó-Dorca, Ramon 1 2022 Generalized scalar products in Minkowski metric spaces. Zbl 1467.51004 Carbó-Dorca, Ramon 4 2021 Extended Minkowski spaces, zero norms, and Minkowski hypersurfaces. Zbl 1484.46026 Carbó-Dorca, Ramon; Chakraborty, Tanmoy 2 2021 Extension of Fermat’s last theorem in Minkowski natural spaces. Zbl 1470.11050 Carbó-Dorca, Ramon; Reyes, Sebastián; Niño, Alfonso 1 2021 Cantor-like transfinite sequences and Gödel-like incompleteness revealed by means of Mersenne transfinite dimensional Boolean hypercube concatenation. Zbl 1432.92112 Carbó-Dorca, Ramon 5 2020 A quantum similarity discussion about Einstein-Podolsky-Rosen (EPR) paradox in Gaussian enfolded spaces. Zbl 1448.81096 Chang, Jing; Carbó-Dorca, Ramon 4 2020 Fuzzy hypercubes and their time-like evolution. Zbl 1454.05079 Chang, Jing; Carbó-Dorca, Ramon 3 2020 Role of the structure of Boolean hypercubes when used as vectors in natural (Boolean) vector semispaces. Zbl 1414.92223 Carbó-Dorca, Ramon 6 2019 Universal transformation and non-linear connection between experimental and calculated property vectors in QSPR. Zbl 1414.92224 Carbó-Dorca, Ramon 4 2019 Hypercubes defined on \(n\)-ary sets, the Erdös-Faber-Lovász conjecture on graph coloring, and the description spaces of polypeptides and RNA. Zbl 1429.92112 Carbó-Dorca, Ramon; Chakraborty, Tanmoy 3 2019 Transformation of Boolean hypercube vertices into unit interval elements: QSPR workout consequences. Zbl 1414.92222 Carbó-Dorca, Ramon 3 2019 Boolean hypercubes as time representation holders. Zbl 1392.83031 Carbó-Dorca, Ramon 6 2018 DNA, unnatural base pairs and hypercubes. Zbl 1390.92096 Carbó-Dorca, Ramon 6 2018 Theoretical and quantum chemistry at the dawn of the 21st century. Zbl 1393.92001 1 2018 Natural vector spaces (inward power and Minkowski norm of a natural vector, natural Boolean hypercubes) and a Fermat’s last theorem conjecture. Zbl 1380.11094 Carbó-Dorca, Ramon 15 2017 Refinement of a generalized Fermat’s last theorem conjecture in natural vector spaces. Zbl 1380.11095 Carbó-Dorca, Ramon; Muñoz-Caro, Camelia; Niño, Alfonso; Reyes, Sebastián 5 2017 A theorem on the Gram matrix of a polyhedron. Zbl 1364.15023 Carbó-Dorca, Ramon 1 2017 \(N\)-dimensional Boolean hypercubes and the Goldbach conjecture. Zbl 1345.92168 Carbó-Dorca, Ramon 15 2016 A study on Goldbach conjecture. Zbl 1367.92134 Carbó-Dorca, Ramon 9 2016 About Erdös discrepancy conjecture. Zbl 1355.11080 Carbó-Dorca, Ramon 9 2016 Time vectors and particle swarms defined as polyhedra in spherically enfolded spaces. Zbl 1367.92133 Carbó-Dorca, Ramon 7 2016 On the nature of the collective quantum mechanical description of molecular atoms and bonds. Zbl 1358.82010 Carbó-Dorca, Ramon 1 2016 A study on the centroid vector of a polyhedron. Zbl 1349.46006 Carbó-Dorca, Ramon 1 2016 Quantum polyhedra, definitions, statistics and the construction of a collective quantum similarity index. Zbl 1310.81023 Carbó-Dorca, Ramon 18 2015 An isometric representation problem in quantum multimolecular polyhedra and similarity. Zbl 1331.81429 Carbó-Dorca, Ramon 9 2015 Least squares estimation of unknown molecular properties and quantum QSPR fundamental equation. Zbl 1331.81428 Carbó-Dorca, Ramon 7 2015 An isometric representation problem in quantum multimolecular polyhedra and similarity: II: Synisometry. Zbl 1331.81430 Carbó-Dorca, Ramon 4 2015 Coulomb repulsion, point-like nuclear charges, Dirac paradox, soft nuclear charge density and hypermultiplet nuclear repulsion. Zbl 1331.81421 Carbó-Dorca, Ramon 3 2015 Multimolecular polyhedra and QSPR. Zbl 1296.92239 Carbó-Dorca, Ramon 11 2014 A postulate involving quantum mechanical momentum in position space, density function expression of the kinetic energy and Heisenberg’s uncertainty relation. Zbl 1304.82010 Carbó-Dorca, Ramon; Besalú, Emili 1 2014 Collective Euclidian distances and quantum similarity. Zbl 1402.92444 Carbó-Dorca, Ramon 10 2013 Mathematical aspects of the LCAO MO first order density function. V: Centroid shifting of MO shape functions basis set, properties and applications. Zbl 1447.81206 Carbó-Dorca, Ramon 9 2013 Enfolded conformational spaces: definition of the chemical quantum mechanical multiverse under Born-Oppenheimer approximation. Zbl 1447.81213 Carbó-Dorca, Ramon 5 2013 Variational principle, Hohenberg-Kohn theorem, and density function origin shifts. Zbl 1321.49079 Carbó-Dorca, Ramon 4 2013 On density function coordinate matrix. Zbl 1312.81016 Carbó-Dorca, Ramon 4 2013 About the concept of chemical space: a concerned reflection on some trends of modern scientific thought within theoretical chemical lore. Zbl 1327.92076 Carbó-Dorca, Ramon 4 2013 Position-momentum Heisenberg uncertainty in Gaussian enfoldments of euclidian space. Zbl 1327.81010 Carbó-Dorca, Ramon 4 2013 EMP as a similarity measure: a geometric point of view. Zbl 1447.81214 Carbó-Dorca, Ramon; Besalú, Emili 4 2013 A naïve geometrical perspective of Fukui functions: definition of Fukui function skew symmetric matrices described on density function sets. Zbl 1447.81212 Carbó-Dorca, Ramon 3 2013 Completely soft molecular electrostatic potentials (CoSMEP) and total density functions. Zbl 1271.92008 Besalú, Emili; Carbó-Dorca, Ramon 2 2013 Particle coordinates and discrete molecular description: a geometric point of view on a twofold dimensionality environment. Zbl 1358.92105 Carbó-Dorca, Ramon 1 2013 Function extended spaces. Zbl 1267.92061 Carbó-Dorca, Ramon; Besalú, Emili 1 2013 Shells, point cloud huts, generalized scalar products, cosines and similarity tensor representations in vector semispaces. Zbl 1238.92068 Carbó-Dorca, Ramon; Besalú, Emili 26 2012 Centroid origin shift of quantum object sets and molecular point clouds description and element comparisons. Zbl 1403.81081 Carbó-Dorca, Ramon; Besalú, Emili 15 2012 Quantum similarity matrices column set as holograms of DF molecular point clouds. Zbl 1310.81161 Carbó-Dorca, Ramon 8 2012 Scaled Euclidean distances: a general dissimilarity index with a suitably defined geometrical foundation. (Scaled euclidian distances: a general dissimilarity index with a suitably defined geometrical foundation.) Zbl 1317.51020 Carbó-Dorca, Ramon 6 2012 On the nature of atomic shell approximation (ASA) electrostatic molecular potentials (EMP). Zbl 1244.92069 Carbó-Dorca, Ramon; Besalú, Emili 5 2012 Symmetrical overlap transformations of function basis sets: the LCAO MO and quantum similarity practical cases. Zbl 1244.92068 Carbó-Dorca, Ramon 3 2012 Quantum similarity and discrete representation of molecular sets. Zbl 1227.92053 Mercado, Luz Dary; Carbó-Dorca, Ramon 14 2011 Quantum similarity, volume functions and generalized Carbó indices. Zbl 1231.81093 Carbó-Dorca, Ramon 9 2011 Mathematical aspects of the LCAO MO first order density function. IV: A discussion on the connection of Taylor series expansion of electronic density (TSED) function with the holographic electron density theorem (HEDT) and the Hohenberg-Kohn theorem (HKT). Zbl 1226.81314 Carbó-Dorca, R.; Besalú, E. 5 2011 Geometry of \(n\)-dimensional Euclidean space Gaussian enfoldments. Zbl 1304.51004 Carbó-Dorca, Ramon; Besalú, Emili 4 2011 The general Gaussian product theorem. Zbl 1447.81205 Besalú, Emili; Carbó-Dorca, Ramon 3 2011 \(n\)-dimensional Euclidean space Gaussian enfoldment. Zbl 1304.51005 Besalú, E.; Carbó-Dorca, R. 3 2011 The relationship between the eigenvalues and eigenvectors of a similarity matrix and its associated Carbó index matrix. Zbl 1213.92076 Ayers, Paul W.; Carbó-Dorca, Ramon 2 2011 Logical Kronecker delta deconstruction of the absolute value function and the treatment of absolute deviations. Zbl 1217.65118 Carbó-Dorca, Ramon 1 2011 Definition of norm coherent generalized scalar products and quantum similarity. Zbl 1200.81077 Carbó-Dorca, Ramon 12 2010 A Gaussian holographic theorem and the projection of electronic density functions into the surface of a sphere. Zbl 1305.81142 Carbó-Dorca, Ramon; Besalú, Emili 7 2010 Molecular quantum similarity measures in Minkowski metric vector semispaces. Zbl 1217.81165 Carbó-Dorca, Ramon 13 2008 Smooth function topological structure descriptors based on graph-spectra. Zbl 1217.05135 Carbó-Dorca, Ramon 8 2008 A quantum similarity matrix (QSM) Aufbau procedure. Zbl 1192.81409 Carbó-Dorca, Ramon 6 2008 Mathematical aspects of the LCAO MO first order density function. I: Atomic partition, metric structure and practical applications. Zbl 1198.81209 Carbó-Dorca, Ramon 4 2008 Mathematical aspects of the LCAO MO first order density function. II: Relationships between density functions. Zbl 1255.81238 Carbó-Dorca, Ramon 4 2008 Diagonal coefficient representation of density functions and quantum similarity measures. Zbl 1217.81164 Carbó-Dorca, Ramon 3 2008 Mathematical aspects of the LCAO MO first order density function. III: A general localization procedure. Zbl 1255.81239 Carbó-Dorca, Ramon; Bultinck, Patrick 2 2008 Riemannian three dimensional molecular spaces. Zbl 1162.92045 Carbó-Dorca, Ramon 2 2008 On Einstein-Podolsky-Rosen paradox. Zbl 1119.81009 Carbó-Dorca, Ramon 3 2007 Descriptors and probability distributions in MO theory: weighted Mulliken matrices and molecular quantum similarity measures. Zbl 1101.81353 Carbó-Dorca, Ramon 4 2006 A discussion on the Einstein-Podolski-Rosen (EPR) effect* in a unique wavefunction quantum mechanical framework. Zbl 1100.81007 Carbó-Dorca, Ramon 2 2006 Generation of molecular fields, quantum similarity measures and related questions. Zbl 1100.81511 Carbó-Dorca, Ramon; Besalú, Emili 1 2006 Molecular nuclear fields: a naïve perspective. Zbl 1102.81334 Carbó-Dorca, Ramon 4 2005 Deduction of Heisenberg relations and Schrödinger equation through the structure of \(N\)-dimensional parameterized metric vector spaces. Zbl 1217.81050 Carbó-Dorca, Ramon 3 2005 A mathematical discussion on density and shape functions, vector semispaces and related questions. Zbl 1052.81669 Bultinck, Patrick; Carbó-Dorca, Ramon 25 2004 Infinite-dimensional time vectors as background building blocks of a space-time frame structure. Zbl 1052.81680 Carbó-Dorca, Ramon 6 2004 Nonlinear terms & variational approach in quantum QSPR. Zbl 1172.81334 Carbó-Dorca, Ramon 5 2004 Heisenberg’s relations in discrete \(N\)-dimensional parameterized metric vector spaces. Zbl 1057.46061 Carbó-Dorca, Ramon 4 2004 A general procedure to obtain quantum mechanical charge and bond order molecular parameters. Zbl 1056.81085 Carbó-Dorca, Ramon; Bultinck, Patrick 3 2004 Quantum mechanical basis for Mulliken population analysis. Zbl 1056.81086 Carbó-Dorca, Ramon; Bultinck, Patrick 2 2004 About some questions relative to the arbitrariness of signs: their possible consequences in matrix signatures definition and quantum chemical applications. Zbl 1052.81670 Carbó-Dorca, Ramon 8 2003 Analysis of a general theorem concerning two non-commuting Hermitian matrices: Quantum mechanical implications for ground and excited states. Zbl 1029.81508 Carbó-Dorca, Ramon; Bultinck, Patrick 2 2003 Shell partition and metric semispaces: Minkowski norms, root scalar products, distances and cosines of arbitrary order. Zbl 1027.81512 Carbó-Dorca, Ramon 24 2002 Inward matrix product algebra and calculus as tools to construct space–time frames of arbitrary dimensions. Zbl 1021.81010 Carbó-Dorca, Ramon 13 2001 Extended Sobolev and Hilbert spaces and approximate stationary solutions for electronic systems within the nonlinear Schrödinger equation. Zbl 0996.81012 Carbó-Dorca, Ramon; Besalú, Emili 1 2001 Quantum QSAR and the eigensystems of stochastic quantum similarity matrices. Zbl 1014.81033 Carbó-Dorca, Ramon 12 2000 Quantum chemistry, Sobolev spaces and SCF. Zbl 0996.81528 Bach, Albert; Amat, Lluis; Besalú, Emili; Carbó-Dorca, Ramon; Ponec, Robert 1 2000 A naive look on the Hohenberg-Kohn theorem. Zbl 0966.81015 Sen, K. D.; Besalú, Emili; Carbó-Dorca, Ramon 2 1999 Tagged sets, convex sets and quantum similarity measures. Zbl 0931.92034 Carbó-Dorca, Ramon 13 1998 On the statistical interpretation of density functions: Atomic shell approximation, convex sets, discrete quantum chemical molecular representations, diagonal vector spaces and related problems. Zbl 0909.92039 Carbó-Dorca, Ramon 9 1998 On the extension of quantum similarity to atomic nuclei: Nuclear quantum similarity. Zbl 0931.92035 Robert, David; Carbó-Dorca, Ramon 1 1998 Fuzzy sets and Boolean tagged sets. Zbl 0899.04006 Carbó-Dorca, Ramon 9 1997 An iterative method to solve the algebraic eigenvalue problem. Zbl 0895.65009 Besalú, Emili; Carbó-Dorca, Ramon 1 1997 Rayleigh-Schrödinger perturbation theory: Practical implementation of matrix and vector formalisms and description of an heuristic sufficiency convergence criterion. Zbl 0900.81087 Besalú, Emili; Carbó-Dorca, Ramon 1 1997 Extending molecular similarity to energy surfaces: Boltzmann similarity measures and indices. Zbl 0902.62135 Carbó-Dorca, Ramon; Besalú, Emili 1 1996 all cited Publications top 5 cited Publications all top 5 Cited by 56 Authors 78 Carbó-Dorca, Ramon 12 Besalú, Emili 9 Balasubramanian, Krishnan 7 Nath, Debraj 2 Ayers, Paul W. 2 Chakraborty, Tanmoy 2 Chang, Jing 2 Estrada, Ernesto 2 Miranda-Quintana, Ramón-Alain 2 Morales-Bayuelo, Alejandro 2 Niño, Alfonso 2 Reyes, Sebastián A. 2 Rodríguez, Jonnathan 1 Andrade, Enide 1 Arockiaraj, Micheal 1 Avnir, David 1 Avron, Haim 1 Barroso, J. M. 1 Batista-Leyva, Alfo José 1 Bielińska-Wąż, Dorota 1 Bultinck, Patrick 1 Castro Perelman, Carlos 1 Chen, Jie 1 Codorniu-Hernández, Edelsys 1 Cruz Rodés, Roberto 1 de Giambiagi, Myriam Segre 1 de Oliveira Neto, Marçal 1 de V. Finageiv Neder, Amarílis 1 Farrugia, Alexander 1 Gurunathan, Sambanthan 1 Han, Insu 1 Hatano, Naomichi 1 Jahanbani, Akbar 1 Jency, Joseph 1 Khetan, Ashish 1 Kim, Taewon David 1 Lenes, Eber 1 Malioutov, Dmitry M. 1 Mallea-Zepeda, Exequiel 1 Mercado, Luz Dary 1 Mitxelena, Ion 1 Muñoz-Caro, Camelia 1 Mushtaq, Shagufa 1 Oh, Sewoong 1 Piris, Mario 1 Robbiano, María 1 Roy, Amlan K. 1 Saad, Yousef 1 Shalini, Arul Jeya 1 Shin, Jinwoo 1 Shooshtary, Hajar 1 Tuvi-Arad, Inbal 1 Ubaru, Shashanka 1 Vivas-Reyes, Ricardo 1 Yogalakshmi, Thangaraj 1 Zadeh, Farnaz Heidar all top 5 Cited in 9 Serials 97 Journal of Mathematical Chemistry 2 Linear Algebra and its Applications 1 Computer Physics Communications 1 Applied Mathematics and Computation 1 SIAM Journal on Matrix Analysis and Applications 1 SIAM Journal on Scientific Computing 1 Journal of Machine Learning Research (JMLR) 1 Journal of Theoretical Biology 1 DML. Discrete Mathematics Letters all top 5 Cited in 30 Fields 55 Quantum theory (81-XX) 44 Biology and other natural sciences (92-XX) 15 Combinatorics (05-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Number theory (11-XX) 6 Geometry (51-XX) 5 Statistics (62-XX) 4 Mathematical logic and foundations (03-XX) 4 Partial differential equations (35-XX) 4 Functional analysis (46-XX) 4 Numerical analysis (65-XX) 2 Operator theory (47-XX) 2 Convex and discrete geometry (52-XX) 2 Probability theory and stochastic processes (60-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 2 Relativity and gravitational theory (83-XX) 2 Information and communication theory, circuits (94-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year