2011, Progress in mathematics, ISBN 9780817647346, Volume 287, xv, 362

Centered on the higher algebraic structures in the work of Murray Gerstenhaber and Jim Stasheff, now ubiquitous in various areas of mathematics and theoretical...

Gerstenhaber, Murray, 1927 | Stasheff, James D | Mathematical physics | Geometry, Algebraic | Mathematics | Algebraic Geometry | Mathematical Methods in Physics | Group Theory and Generalizations | Applications of Mathematics | Topological Groups, Lie Groups | Ordered algebraic structures | Homotopy theory

Gerstenhaber, Murray, 1927 | Stasheff, James D | Mathematical physics | Geometry, Algebraic | Mathematics | Algebraic Geometry | Mathematical Methods in Physics | Group Theory and Generalizations | Applications of Mathematics | Topological Groups, Lie Groups | Ordered algebraic structures | Homotopy theory

Book

2016, ISBN 9781470427245, xiv, 352 pages

Book

Chemistry and Physics of Lipids, ISSN 0009-3084, 01/2015, Volume 185, pp. 129 - 140

•Proteins employ shallow membrane wedging to create local “molecular” geometry of membrane fission.•Protein complexes coordinate localized membrane wedging to...

Geometric catalysis | Membrane hemifission | Membrane proteins | LIQUID-ORDERED PHASE | SHAPE TRANSFORMATIONS | BIOCHEMISTRY & MOLECULAR BIOLOGY | AMPHIPATHIC HELICES | SELF-REPRODUCTION | ALPHA-SYNUCLEIN | CURVATURE ELASTIC ENERGY | COATED VESICLE FORMATION | DOMAIN-CONTAINING PROTEINS | BIOPHYSICS | GAUSSIAN CURVATURE | STRUCTURAL BASIS | Cell Membrane - chemistry | Membrane Microdomains - chemistry | Thermodynamics | Cell Membrane - metabolism | Membrane Microdomains - metabolism | Proteins | Electrochemistry | Electrochemical reactions | Lipids | Catalysis

Geometric catalysis | Membrane hemifission | Membrane proteins | LIQUID-ORDERED PHASE | SHAPE TRANSFORMATIONS | BIOCHEMISTRY & MOLECULAR BIOLOGY | AMPHIPATHIC HELICES | SELF-REPRODUCTION | ALPHA-SYNUCLEIN | CURVATURE ELASTIC ENERGY | COATED VESICLE FORMATION | DOMAIN-CONTAINING PROTEINS | BIOPHYSICS | GAUSSIAN CURVATURE | STRUCTURAL BASIS | Cell Membrane - chemistry | Membrane Microdomains - chemistry | Thermodynamics | Cell Membrane - metabolism | Membrane Microdomains - metabolism | Proteins | Electrochemistry | Electrochemical reactions | Lipids | Catalysis

Journal Article

Algebra Universalis, ISSN 0002-5240, 09/2018, Volume 79, Issue 3

In this paper we focus on the algebraic geometry of the variety of l-groups (i. e. lattice ordered abelian groups). In particular we study the role of the...

Universal algebra | Formal logic | Lattice ordered abelian group | MATHEMATICS | SPACES | ORDERED ABELIAN-GROUPS | DUALITY | VECTOR LATTICES

Universal algebra | Formal logic | Lattice ordered abelian group | MATHEMATICS | SPACES | ORDERED ABELIAN-GROUPS | DUALITY | VECTOR LATTICES

Journal Article

Physics Reports, ISSN 0370-1573, 05/2014, Volume 538, Issue 1, pp. 1 - 37

Topological analysis of disclinations in nematic liquid crystals is an interesting and diverse topic that goes from strict mathematical theorems to...

Self-linking number | Homotopy theory | Nematic liquid crystal | Topological defects | Colloids | Nematic braids | POINT-DEFECTS | PHYSICS, MULTIDISCIPLINARY | CHOLESTERIC LIQUID-CRYSTALS | ORDERED MEDIA | ANISOTROPIC FLUIDS | DISCLINATION LOOPS | CONDENSED MATTER | SPACE CURVE | COLLOIDAL INTERACTIONS | PARTICLE DYNAMICS

Self-linking number | Homotopy theory | Nematic liquid crystal | Topological defects | Colloids | Nematic braids | POINT-DEFECTS | PHYSICS, MULTIDISCIPLINARY | CHOLESTERIC LIQUID-CRYSTALS | ORDERED MEDIA | ANISOTROPIC FLUIDS | DISCLINATION LOOPS | CONDENSED MATTER | SPACE CURVE | COLLOIDAL INTERACTIONS | PARTICLE DYNAMICS

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 10/2015, Volume 430, Issue 2, pp. 755 - 776

We study the Łojasiewicz–Siciak inequality in CN. This concerns the estimating from below the Siciak extremal function which is very much related to the Green...

Holomorphic function | Semialgebraic sets | Subanalytic sets | Siciak's extremal function | o-Minimal structure | Polynomial approximation | O-Minimal structure | CAPACITY | MATHEMATICS, APPLIED | O-MINIMAL STRUCTURES | INEQUALITY | DIRICHLET REGULARITY | CONVEX-SETS | MATHEMATICS | ORDERED STRUCTURES | DEFINABLE SETS | GREEN-FUNCTION | DOMAINS | Computer science

Holomorphic function | Semialgebraic sets | Subanalytic sets | Siciak's extremal function | o-Minimal structure | Polynomial approximation | O-Minimal structure | CAPACITY | MATHEMATICS, APPLIED | O-MINIMAL STRUCTURES | INEQUALITY | DIRICHLET REGULARITY | CONVEX-SETS | MATHEMATICS | ORDERED STRUCTURES | DEFINABLE SETS | GREEN-FUNCTION | DOMAINS | Computer science

Journal Article

Journal of Geometry, ISSN 0047-2468, 12/2015, Volume 106, Issue 3, pp. 551 - 570

Metric geometry in the sense of Hjelmslev and Bachmann studies metric planes of a very general kind without any assumption about order, continuity and the...

Geometry | 51G05 | 51M10 | Ordered planes | ordered metric geometry | Pasch axiom | partial group of translations | Mathematics | 51F15

Geometry | 51G05 | 51M10 | Ordered planes | ordered metric geometry | Pasch axiom | partial group of translations | Mathematics | 51F15

Journal Article

IEEE Transactions on Medical Imaging, ISSN 0278-0062, 05/2003, Volume 22, Issue 5, pp. 599 - 612

A method is presented to estimate the acquisition geometry of a pinhole single photon emission computed tomography (SPECT) camera with a circular detector...

Algorithm design and analysis | Computational geometry | Detectors | Imaging phantoms | Extraterrestrial measurements | Cameras | Calibration | Single photon emission computed tomography | Least squares approximation | Image reconstruction | Geometry calibration | Pinhole | Acquisition geometry | SPECT | SYSTEM | CALIBRATION | PHANTOM | ENGINEERING, BIOMEDICAL | acquisition geometry | RECONSTRUCTION | RESOLUTION | geometric calibration | IMAGING SCIENCE & PHOTOGRAPHIC TECHNOLOGY | PARAMETERS | ENGINEERING, ELECTRICAL & ELECTRONIC | pinhole | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | PHOTON-EMISSION-TOMOGRAPHY | CONE-BEAM TOMOGRAPHY | ORDERED SUBSETS | MICE | RADIOLOGY, NUCLEAR MEDICINE & MEDICAL IMAGING | Reproducibility of Results | Tomography, Emission-Computed, Single-Photon - methods | Transducers | Algorithms | Tomography, Emission-Computed, Single-Photon - instrumentation | Image Interpretation, Computer-Assisted - methods | Sensitivity and Specificity | Calibration - standards | Image Enhancement - methods | Phantoms, Imaging | Tomography, Emission-Computed, Single-Photon - standards | Quality Control | Tomography | Research | Studies | Acquisitions & mergers | Acquisitions | Point sources | Pinholes | Correlation | Images | Marketing

Algorithm design and analysis | Computational geometry | Detectors | Imaging phantoms | Extraterrestrial measurements | Cameras | Calibration | Single photon emission computed tomography | Least squares approximation | Image reconstruction | Geometry calibration | Pinhole | Acquisition geometry | SPECT | SYSTEM | CALIBRATION | PHANTOM | ENGINEERING, BIOMEDICAL | acquisition geometry | RECONSTRUCTION | RESOLUTION | geometric calibration | IMAGING SCIENCE & PHOTOGRAPHIC TECHNOLOGY | PARAMETERS | ENGINEERING, ELECTRICAL & ELECTRONIC | pinhole | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | PHOTON-EMISSION-TOMOGRAPHY | CONE-BEAM TOMOGRAPHY | ORDERED SUBSETS | MICE | RADIOLOGY, NUCLEAR MEDICINE & MEDICAL IMAGING | Reproducibility of Results | Tomography, Emission-Computed, Single-Photon - methods | Transducers | Algorithms | Tomography, Emission-Computed, Single-Photon - instrumentation | Image Interpretation, Computer-Assisted - methods | Sensitivity and Specificity | Calibration - standards | Image Enhancement - methods | Phantoms, Imaging | Tomography, Emission-Computed, Single-Photon - standards | Quality Control | Tomography | Research | Studies | Acquisitions & mergers | Acquisitions | Point sources | Pinholes | Correlation | Images | Marketing

Journal Article

Physical Review X, ISSN 2160-3308, 2014, Volume 4, Issue 3, p. 031050

We propose a construction of a cholesteric pitch axis for an arbitrary nematic director field as an eigenvalue problem. Our definition leads to a Frenet-Serret...

DEFECTS | PHYSICS, MULTIDISCIPLINARY | ORDERED MEDIA | LIQUID-CRYSTALS | Physics - Soft Condensed Matter

DEFECTS | PHYSICS, MULTIDISCIPLINARY | ORDERED MEDIA | LIQUID-CRYSTALS | Physics - Soft Condensed Matter

Journal Article

Chemistry of Materials, ISSN 0897-4756, 11/2014, Volume 26, Issue 21, pp. 6127 - 6134

Herein, we report a systematic study on the synthesis of ordered mesoporous Co3O4 nanocast from cubically (KIT-6) and hexagonally (SBA-15) ordered mesoporous...

NANOPARTICLES | POROUS CO3O4 | OXYGEN EVOLUTION | COBALT-OXIDE | MATERIALS SCIENCE, MULTIDISCIPLINARY | CHEMISTRY, PHYSICAL | PORE STRUCTURE | SILICA | ORDERED MESOPOROUS MATERIALS | ELECTROCATALYSTS | METAL-OXIDES

NANOPARTICLES | POROUS CO3O4 | OXYGEN EVOLUTION | COBALT-OXIDE | MATERIALS SCIENCE, MULTIDISCIPLINARY | CHEMISTRY, PHYSICAL | PORE STRUCTURE | SILICA | ORDERED MESOPOROUS MATERIALS | ELECTROCATALYSTS | METAL-OXIDES

Journal Article

Order, ISSN 0167-8094, 11/2017, Volume 34, Issue 3, pp. 523 - 550

A convex geometry is a closure space satisfying the anti-exchange axiom. For several types of algebraic convex geometries we describe when the collection of...

Geometry | Lattices of suborders | Algebraic lattice | Lattices of relatively convex sets | Convex geometry | Order-scattered poset | Mathematics | Topologically scattered lattice | Number Theory | Multi-chains | Lattices of subsemilattices | ORDERED SETS | MATHEMATICS | POSETS | LATTICES | CHAINS | Jewish schools | Resveratrol | Computer Science | Discrete Mathematics

Geometry | Lattices of suborders | Algebraic lattice | Lattices of relatively convex sets | Convex geometry | Order-scattered poset | Mathematics | Topologically scattered lattice | Number Theory | Multi-chains | Lattices of subsemilattices | ORDERED SETS | MATHEMATICS | POSETS | LATTICES | CHAINS | Jewish schools | Resveratrol | Computer Science | Discrete Mathematics

Journal Article

Algebra universalis, ISSN 0002-5240, 9/2018, Volume 79, Issue 3, pp. 1 - 24

In this paper we focus on the algebraic geometry of the variety of $$\ell $$ ℓ -groups (i.e. lattice ordered abelian groups). In particular we study the role...

06F20 | Universal algebra | Algebra | Formal logic | 03C05 | Mathematics | Lattice ordered abelian group

06F20 | Universal algebra | Algebra | Formal logic | 03C05 | Mathematics | Lattice ordered abelian group

Journal Article

Journal of Algebraic Combinatorics, ISSN 0925-9899, 6/2019, Volume 49, Issue 4, pp. 381 - 400

In this paper, we give an overview of combinatorial group testing and algebra. Our survey focuses on the constructions with algebraic methods, especially...

05E30 | Classical groups | 33C45 | 33D45 | Mathematics | Pooling design | Group testing | Convex and Discrete Geometry | Order, Lattices, Ordered Algebraic Structures | Group Theory and Generalizations | Combinatorics | Computer Science, general | 05E35 | Computer science | Algebra

05E30 | Classical groups | 33C45 | 33D45 | Mathematics | Pooling design | Group testing | Convex and Discrete Geometry | Order, Lattices, Ordered Algebraic Structures | Group Theory and Generalizations | Combinatorics | Computer Science, general | 05E35 | Computer science | Algebra

Journal Article

International Journal of Algebra and Computation, ISSN 0218-1967, 12/2018, Volume 28, Issue 8, pp. 1425 - 1448

This work is devoted to interpretation of concepts of Zariski dimension of an algebraic variety over a field and of Krull dimension of a coordinate ring in...

Krull dimension | coordinate algebra | Partially ordered set | irreducible algebraic set | Zariski dimension | algebraic structure | radical dimension | universal algebraic geometry | ordinal number | projective dimension | MATHEMATICS

Krull dimension | coordinate algebra | Partially ordered set | irreducible algebraic set | Zariski dimension | algebraic structure | radical dimension | universal algebraic geometry | ordinal number | projective dimension | MATHEMATICS

Journal Article

Order, ISSN 0167-8094, 11/2018, Volume 35, Issue 3, pp. 467 - 488

We study a class of polyhedra associated to marked posets. Examples of these polyhedra are Gelfand–Tsetlin polytopes and cones, as well as...

Polyhedral geometry | Algebra | Representation theory | Mathematics | Order, Lattices, Ordered Algebraic Structures | Gelfand–Tsetlin polytopes | Marked poset polytopes | Discrete Mathematics | MATHEMATICS | FRAMES | Gelfand-Tsetlin polytopes | UNIMODULAR EQUIVALENCE | POSET POLYTOPES

Polyhedral geometry | Algebra | Representation theory | Mathematics | Order, Lattices, Ordered Algebraic Structures | Gelfand–Tsetlin polytopes | Marked poset polytopes | Discrete Mathematics | MATHEMATICS | FRAMES | Gelfand-Tsetlin polytopes | UNIMODULAR EQUIVALENCE | POSET POLYTOPES

Journal Article

Polymers, ISSN 2073-4360, 08/2016, Volume 8, Issue 8, pp. 284 - 284

A Finsler geometric surface model is studied as a coarse-grained model for membranes of three components, such as zwitterionic phospholipid (DOPC), lipid...

Finsler geometry | Liquid-disordered | Monte Carlo | Phase separation | Biological membranes | Line tension | Surface model | Liquid-ordered | Multi-component | STRINGS | POLYMER SCIENCE | line tension | RANDOM SURFACES | liquid-ordered | CRUMPLING TRANSITION | liquid-disordered | phase separation | biological membranes | EXTRINSIC CURVATURE | surface model | multi-component | Organic chemistry | Membranes | Phase diagrams | Circularity | Lipids | Mathematical models | Polymers

Finsler geometry | Liquid-disordered | Monte Carlo | Phase separation | Biological membranes | Line tension | Surface model | Liquid-ordered | Multi-component | STRINGS | POLYMER SCIENCE | line tension | RANDOM SURFACES | liquid-ordered | CRUMPLING TRANSITION | liquid-disordered | phase separation | biological membranes | EXTRINSIC CURVATURE | surface model | multi-component | Organic chemistry | Membranes | Phase diagrams | Circularity | Lipids | Mathematical models | Polymers

Journal Article

2016, Graduate studies in mathematics, ISBN 9781470423070, Volume 174, xii, 295 pages

Book

Journal of Quantitative Spectroscopy and Radiative Transfer, ISSN 0022-4073, 12/2014, Volume 149, pp. 108 - 116

Scattering in random structure is a typical problem for different media: colloids, clouds, liquids in coagulation stage, etc. In these structures, the group...

Multiple scattering | Partly-ordered structure | Radiation transfer | PARTICLES | OPTICAL COHERENCE TOMOGRAPHY | LIGHT-SCATTERING | SIMULATION | RADIATION | ATMOSPHERE | GRAINS | SPECTROSCOPY | ELECTROMAGNETIC SCATTERING | OPTICS | POLARIZATION | Monte Carlo method | Analysis | Radiation | Structure factor | Monte Carlo methods | Mathematical analysis | Scattering | Media | Mathematical models | Formations | Radiative transfer

Multiple scattering | Partly-ordered structure | Radiation transfer | PARTICLES | OPTICAL COHERENCE TOMOGRAPHY | LIGHT-SCATTERING | SIMULATION | RADIATION | ATMOSPHERE | GRAINS | SPECTROSCOPY | ELECTROMAGNETIC SCATTERING | OPTICS | POLARIZATION | Monte Carlo method | Analysis | Radiation | Structure factor | Monte Carlo methods | Mathematical analysis | Scattering | Media | Mathematical models | Formations | Radiative transfer

Journal Article

MATERIALS, ISSN 1996-1944, 04/2015, Volume 8, Issue 4, pp. 1652 - 1665

Mesoporous carbons were synthesized via both soft and hard template methods and compared to a commercial powder activated carbon (PAC) for the adsorption...

POLYMERS | SUPPORT | ROUTE | REMOVAL | ACTIVATED CARBON | MATERIALS SCIENCE, MULTIDISCIPLINARY | MEMBRANES | AQUEOUS-SOLUTION | TEMPLATES | Diffusion rate | Pore size | Adsorption | Surface chemistry | Porosity | Diffusion | Carbon | Tuning | Adsorbents | soft template | ordered mesoporous carbons | adsorption | BPA | hard template

POLYMERS | SUPPORT | ROUTE | REMOVAL | ACTIVATED CARBON | MATERIALS SCIENCE, MULTIDISCIPLINARY | MEMBRANES | AQUEOUS-SOLUTION | TEMPLATES | Diffusion rate | Pore size | Adsorption | Surface chemistry | Porosity | Diffusion | Carbon | Tuning | Adsorbents | soft template | ordered mesoporous carbons | adsorption | BPA | hard template

Journal Article