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Journal Article
JOURNAL OF COMBINATORIAL THEORY SERIES B, ISSN 0095-8956, 11/2015, Volume 115, pp. 224 - 235
Since the crossing number of K-12 is now known to be 150, it is well-known that simple counting arguments and Kleitman's parity theorem for the crossing number... 
Equivalent drawings | MATHEMATICS | Normal deficiency property | Complete graph | K-13 | Crossing number | CONJECTURE
Journal Article
Advances in Mathematics, ISSN 0001-8708, 08/2015, Volume 281, pp. 40 - 141
In this paper we introduce a notion of symplectic normal crossing divisor V and define the GW invariant of a symplectic manifold X relative to such a divisor.... 
Normal crossing divisors | GW invariants | SURGERY | MATHEMATICS | SYMPLECTIC-MANIFOLDS | SUM | GROMOV-WITTEN INVARIANTS | FORMULA
Journal Article
Journal of Combinatorial Theory, Series B, ISSN 0095-8956, 11/2015, Volume 115, pp. 224 - 235
Since the crossing number of K12 is now known to be 150, it is well-known that simple counting arguments and Kleitman's parity theorem for the crossing number... 
Equivalent drawings | Normal deficiency property | formula omitted | Complete graph | Crossing number
Journal Article
Advances in Mathematics, ISSN 0001-8708, 12/2018, Volume 339, pp. 672 - 748
We introduce topological notions of normal crossings symplectic divisor and variety and establish that they are equivalent, in a suitable sense, to the desired... 
Normal crossings varieties | Singularities | Normal crossings divisors | Symplectic topology | EXPLODED MANIFOLDS | MATHEMATICS | GROMOV-WITTEN INVARIANTS | STABLE LOGARITHMIC MAPS | HOLOMORPHIC-CURVES | GW-INVARIANTS | GEOMETRY
Journal Article
Nature Neuroscience, ISSN 1097-6256, 07/2001, Volume 4, Issue 7, pp. 759 - 765
Journal Article
Engineering Structures, ISSN 0141-0296, 07/2018, Volume 167, pp. 393 - 406
•Evaluation of pipe strains subjected to normal faults using dissipated energy method.•Account for the energy dissipation at pipes and soils.•Optimize the... 
Normal fault | Dissipated energy | Fragility analysis | Analytical solution | Buried pipeline | SYSTEM | TESTS | BURIED STEEL PIPELINES | RELIABILITY | WATER DISTRIBUTION PIPES | STRIKE-SLIP FAULTS | ENGINEERING, CIVIL | MOVEMENT | SETTLEMENT | SHAKING | Analysis | Methods | Green technology
Journal Article
IEEE Transactions on Medical Imaging, ISSN 0278-0062, 08/2010, Volume 29, Issue 8, pp. 1504 - 1515
Journal Article
Tunnelling and Underground Space Technology, ISSN 0886-7798, 12/2018, Volume 82, p. 468
This paper presented a case study on the deformation and stress characteristics of twin tunnels induced by close distance earth pressure balance shield (EPBS)... 
Tunneling shields | Stress state | Deformation | Tunnel construction | Deformation mechanisms | Sandy soils | Gaussian distribution | Subsidence | Pressure | Soils | Soil stabilization | Normal distribution | Hoop stress | Subway construction | Tunnels
Journal Article
Communications in Statistics: Simulation and Computation, ISSN 0361-0918, 2019, pp. 1 - 22
Journal Article
Journal of Hydraulic Research, ISSN 0022-1686, 07/2018, Volume 56, Issue 4, pp. 464 - 481
Journal Article
RSC Advances, ISSN 2046-2069, 2016, Volume 6, Issue 110, pp. 109259 - 109266
A topologically insulating material, (Bi1-xSbx)(2)Te-3 is studied in detail with respect to its resistivity measurements by evaluating these... 
TRANSITION | RENORMALIZATION-GROUP | NORMAL-STATE | APPROXIMATION | T-C SUPERCONDUCTORS | FERMIONS | RESISTANCE | IONIZATION-ENERGY | CHEMISTRY, MULTIDISCIPLINARY | HGTE QUANTUM-WELLS | PB1-XSNXSE | Carriers | Parameters | Electrical resistivity | Ionization | Insulators | Topology | Chemical elements | Defects
Journal Article
Acta Geodynamica et Geomaterialia, ISSN 1214-9705, 2015, Volume 12, Issue 4, pp. 363 - 376
A review of seismic damages suffered by underground structures shows that most tunnels were located near active faults. In a near field seismic event, the... 
Fault dip angle | Finite elements | Earthquake magnitude | Normal fault | Reverse fault | Tunnel lining deformation | Fault displacement | GEOCHEMISTRY & GEOPHYSICS | DESIGN | MINING & MINERAL PROCESSING | RUPTURE | SOIL
Journal Article
Proceedings of the Edinburgh Mathematical Society, ISSN 0013-0915, 2014, Volume 57, Issue 1, pp. 175 - 189
Journal Article
Compositio Mathematica, ISSN 0010-437X, 09/2014, Volume 150, Issue 9, pp. 1607 - 1622
We introduce a dual logarithmic residue map for hypersurface singularities and use it to answer a question of Kyoji Saito. Our result extends a theorem of Le... 
free divisor | logarithmic residue | normal crossing | duality | FORMS | MATHEMATICS | FREE ARRANGEMENTS | IDEAL | FREE DIVISORS | MODULE | SINGULARITIES | CURVE | HYPERPLANES | SHEAVES | Theorems | Mathematics | Mathematics - Algebraic Geometry
Journal Article
Proceedings of the Edinburgh Mathematical Society, ISSN 0013-0915, 02/2015, Volume 58, Issue 3, pp. 787 - 806
This paper obtains criteria for a Fano variety X defined over an algebraically closed field of characteristic zero with normal crossing singularities to be... 
algebraic geometry | smoothings | normal crossing | Fano varieties | MATHEMATICS | DEFORMATIONS | GLOBAL SMOOTHINGS | SURFACES | Mathematics | Algebra
Journal Article
Bioinformatics, ISSN 1367-4803, 09/2010, Volume 26, Issue 18, pp. i659 - i665
Journal Article