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The thirty-plus years of progress in the field of structural health monitoring (SHM) have left a paramount impact on our everyday lives. Be it for the monitoring of fixed- and rotary-wing aircrafts, for the preservation of the cultural and architectural heritage, or for the predictive maintenance of long-span bridges or wind farms, SHM has shaped the framework of many engineering fields. Given the current state of quantitative and principled methodologies, it is nowadays possible to rapidly and consistently evaluate the structural safety of industrial machines, modern concrete buildings, historical masonry complexes, etc., to test their capability and to serve their intended purpose. However, old unsolved problematics as well as new challenges exist. Furthermore, unprecedented conditions, such as stricter safety requirements and ageing civil infrastructure, pose new challenges for confrontation. Therefore, this Special Issue gathers the main contributions of academics and practitioners in civil, aerospace, and mechanical engineering to provide a common ground for structural health monitoring in dealing with old and new aspects of this ever-growing research field.
Technology: general issues --- dynamic characteristic --- GB-RAR --- super high-rise building --- displacement --- wheel flat --- real-time monitoring --- strain distribution characteristics --- multisensor array --- precise positioning --- noncontact remote sensing (NRS) --- optical flow algorithm --- structural health monitoring (SHM) --- uniaxial automatic cruise acquisition device --- noise robustness --- sensitivity analysis --- cross-modal strain energy --- damage detection --- subspace system identification --- data-driven stochastic subspace identification (SSI-DATA) --- covariance-driven stochastic subspace identification (SSI-COV) --- combined subspace system identification --- PRISMA --- vibration-based damage detection --- crack damage detection --- piezoelectric impedance --- piezoelectric admittance --- peak frequency --- Bayesian inference --- uncertainty quantification --- masonry structures --- seismic structural health monitoring --- Bouc–Wen model --- model calibration --- hysteretic system identification --- BOTDR --- CFRP sheet --- un-bonded position --- cover delamination --- interfacial de-bonding --- monitoring system --- pipeline --- health and structural integrity --- Particle Impact Damper --- adaptive-passive damping --- damping of vibrations --- experiments --- submerged floating tunnel --- deep neural network --- machine learning --- sensor optimization --- failure monitoring accuracy --- mooring line --- sigmoid function --- Adamax --- categorical cross-entropy --- bending test --- bridge --- “compression–softening” theory --- frequency --- inverse problem --- nondestructive testing (NDT) method --- prestressed concrete (PC) girder --- prestress force determination --- prestress loss --- vertical deflection measurement --- rail --- guided wave ultrasound --- broken rail detection --- rail diagnostics --- structural health monitoring --- non destructive testing --- shape sensing --- inverse Finite Element Method --- fiber optics --- full-field reconstruction --- Structural Health Monitoring --- extreme function theory --- non-destructive testing --- extreme value theory --- generalised extreme distribution --- n/a --- Bouc-Wen model --- "compression-softening" theory
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The thirty-plus years of progress in the field of structural health monitoring (SHM) have left a paramount impact on our everyday lives. Be it for the monitoring of fixed- and rotary-wing aircrafts, for the preservation of the cultural and architectural heritage, or for the predictive maintenance of long-span bridges or wind farms, SHM has shaped the framework of many engineering fields. Given the current state of quantitative and principled methodologies, it is nowadays possible to rapidly and consistently evaluate the structural safety of industrial machines, modern concrete buildings, historical masonry complexes, etc., to test their capability and to serve their intended purpose. However, old unsolved problematics as well as new challenges exist. Furthermore, unprecedented conditions, such as stricter safety requirements and ageing civil infrastructure, pose new challenges for confrontation. Therefore, this Special Issue gathers the main contributions of academics and practitioners in civil, aerospace, and mechanical engineering to provide a common ground for structural health monitoring in dealing with old and new aspects of this ever-growing research field.
dynamic characteristic --- GB-RAR --- super high-rise building --- displacement --- wheel flat --- real-time monitoring --- strain distribution characteristics --- multisensor array --- precise positioning --- noncontact remote sensing (NRS) --- optical flow algorithm --- structural health monitoring (SHM) --- uniaxial automatic cruise acquisition device --- noise robustness --- sensitivity analysis --- cross-modal strain energy --- damage detection --- subspace system identification --- data-driven stochastic subspace identification (SSI-DATA) --- covariance-driven stochastic subspace identification (SSI-COV) --- combined subspace system identification --- PRISMA --- vibration-based damage detection --- crack damage detection --- piezoelectric impedance --- piezoelectric admittance --- peak frequency --- Bayesian inference --- uncertainty quantification --- masonry structures --- seismic structural health monitoring --- Bouc–Wen model --- model calibration --- hysteretic system identification --- BOTDR --- CFRP sheet --- un-bonded position --- cover delamination --- interfacial de-bonding --- monitoring system --- pipeline --- health and structural integrity --- Particle Impact Damper --- adaptive-passive damping --- damping of vibrations --- experiments --- submerged floating tunnel --- deep neural network --- machine learning --- sensor optimization --- failure monitoring accuracy --- mooring line --- sigmoid function --- Adamax --- categorical cross-entropy --- bending test --- bridge --- “compression–softening” theory --- frequency --- inverse problem --- nondestructive testing (NDT) method --- prestressed concrete (PC) girder --- prestress force determination --- prestress loss --- vertical deflection measurement --- rail --- guided wave ultrasound --- broken rail detection --- rail diagnostics --- structural health monitoring --- non destructive testing --- shape sensing --- inverse Finite Element Method --- fiber optics --- full-field reconstruction --- Structural Health Monitoring --- extreme function theory --- non-destructive testing --- extreme value theory --- generalised extreme distribution --- n/a --- Bouc-Wen model --- "compression-softening" theory
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The thirty-plus years of progress in the field of structural health monitoring (SHM) have left a paramount impact on our everyday lives. Be it for the monitoring of fixed- and rotary-wing aircrafts, for the preservation of the cultural and architectural heritage, or for the predictive maintenance of long-span bridges or wind farms, SHM has shaped the framework of many engineering fields. Given the current state of quantitative and principled methodologies, it is nowadays possible to rapidly and consistently evaluate the structural safety of industrial machines, modern concrete buildings, historical masonry complexes, etc., to test their capability and to serve their intended purpose. However, old unsolved problematics as well as new challenges exist. Furthermore, unprecedented conditions, such as stricter safety requirements and ageing civil infrastructure, pose new challenges for confrontation. Therefore, this Special Issue gathers the main contributions of academics and practitioners in civil, aerospace, and mechanical engineering to provide a common ground for structural health monitoring in dealing with old and new aspects of this ever-growing research field.
Technology: general issues --- dynamic characteristic --- GB-RAR --- super high-rise building --- displacement --- wheel flat --- real-time monitoring --- strain distribution characteristics --- multisensor array --- precise positioning --- noncontact remote sensing (NRS) --- optical flow algorithm --- structural health monitoring (SHM) --- uniaxial automatic cruise acquisition device --- noise robustness --- sensitivity analysis --- cross-modal strain energy --- damage detection --- subspace system identification --- data-driven stochastic subspace identification (SSI-DATA) --- covariance-driven stochastic subspace identification (SSI-COV) --- combined subspace system identification --- PRISMA --- vibration-based damage detection --- crack damage detection --- piezoelectric impedance --- piezoelectric admittance --- peak frequency --- Bayesian inference --- uncertainty quantification --- masonry structures --- seismic structural health monitoring --- Bouc-Wen model --- model calibration --- hysteretic system identification --- BOTDR --- CFRP sheet --- un-bonded position --- cover delamination --- interfacial de-bonding --- monitoring system --- pipeline --- health and structural integrity --- Particle Impact Damper --- adaptive-passive damping --- damping of vibrations --- experiments --- submerged floating tunnel --- deep neural network --- machine learning --- sensor optimization --- failure monitoring accuracy --- mooring line --- sigmoid function --- Adamax --- categorical cross-entropy --- bending test --- bridge --- "compression-softening" theory --- frequency --- inverse problem --- nondestructive testing (NDT) method --- prestressed concrete (PC) girder --- prestress force determination --- prestress loss --- vertical deflection measurement --- rail --- guided wave ultrasound --- broken rail detection --- rail diagnostics --- structural health monitoring --- non destructive testing --- shape sensing --- inverse Finite Element Method --- fiber optics --- full-field reconstruction --- Structural Health Monitoring --- extreme function theory --- non-destructive testing --- extreme value theory --- generalised extreme distribution
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Cette dissertation cherche à établir les conditions qui permettent à une relation BDSM d’échange de pouvoirs de produire des effets politiques d’émancipation. À partir de la théorie butlérienne de la performativité des corps, je montre que ce dispositif culturel de réitération parodique permet la resignification d’identités, de rôles et de pratiques. Une brève recherche à travers l’histoire clinique du sadomasochisme montre quelles sont les racines culturelles de certains comportements sexuels, avec en leur centre le modèle masochiste du contrat. Par une reprise de la critique féministe de la théorie du contrat social, je montre le potentiel transgressif du contrat BDSM ainsi que ses limitations. Avec le travail de Robin Bauer et un roman de Jean Genet, je pose que les effets produits sur la subjectivité dans l’intimité peuvent avoir des effets politiques publiques. This dissertation aims at establishing the conditions allowing a power-exchange BDSM relationship to produce political effects of emancipation. From Butler’s theory of performativity of bodies, I show that this cultural dispositive allows a parodic reassigning of identities, roles and practices. A brief research through the clinical history of sadomasochism shows the cultural roots of certain sexual behaviors, centering around the notion of the masochistic contract. Through an uptake of the feminist critique of the social contract theory, I show the transgressive potential of the BDSM contract and its limitations. With Robin Bauer’s work and a novel by Jean Genet, I argue that the effects produced on the subjectivity in a private context can have public political effects.
BDSM --- domination --- soumission --- sexualité --- performativité --- masochisme --- sadisme --- sadomasochisme --- S/M --- post-porn --- Jean Genet --- émancipation --- queer --- queer theory --- sadomasochism --- sadism --- masochism --- Sacher-Masoch --- Robin Bauer --- Judith Butler --- drag king --- drag queen --- drag --- Preciado --- pornographie --- consentement --- contrat sexuel --- care --- éthique du care --- non-mixité --- psychanalyse --- Sartre --- Sex Wars --- MacKinnon --- Dworkin --- intimité --- extimité --- gode --- dyke --- LGBTQIA --- LGBT --- LGBTQIA+ --- aftercare --- subspace --- travail du sexe --- travailleuse du sexe --- TDS --- Baise-moi --- Despentes --- Genet --- Arts & sciences humaines > Philosophie & éthique
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This book is devoted to the latest advances in the area of electrothermal modelling of electronic components and networks. It contains eight sections by different teams of authors. These sections contain the results of: (a) electro-thermal simulations of SiC power MOSFETs using a SPICE-like simulation program; (b) modelling thermal properties of inductors taking into account the influence of the core volume on the efficiency of heat removal; (c) investigations into the problem of inserting a temperature sensor in the neighbourhood of a chip to monitor its junction temperature; (d) computations of the internal temperature of power LEDs situated in modules containing multiple-power LEDs, taking into account both self-heating in each power LED and mutual thermal couplings between each diode; (e) analyses of DC-DC converters using the electrothermal averaged model of the diode–transistor switch, including an IGBT and a rapid-switching diode; (f) electrothermal modelling of SiC power BJTs; (g) analysis of the efficiency of selected algorithms used for solving heat transfer problems at nanoscale; (h) analysis related to thermal simulation of the test structure dedicated to heat-diffusion investigation at the nanoscale.
History of engineering & technology --- Dual-Phase-Lag heat transfer model --- thermal simulation algorithm --- thermal measurements --- Finite Difference Method scheme --- Grünwald–Letnikov fractional derivative --- Krylov subspace-based model order reduction --- algorithm efficiency analysis --- relative error analysis --- algorithm convergence analysis --- computational complexity analysis --- finite difference method scheme --- BJT --- modelling --- self-heating --- silicon carbide --- SPICE --- IGBT --- DC–DC converter --- electrothermal model --- averaged model --- thermal phenomena --- diode–transistor switch --- power electronics --- multi-LED lighting modules --- device thermal coupling --- compact thermal models --- temperature sensors --- microprocessor --- throughput improvement --- inductors --- ferromagnetic cores --- thermal model --- transient thermal impedance --- thermal resistance --- electrothermal (ET) simulation --- finite-element method (FEM) --- model-order reduction (MOR) --- multicellular power MOSFET --- silicon carbide (SiC)
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This book is devoted to the latest advances in the area of electrothermal modelling of electronic components and networks. It contains eight sections by different teams of authors. These sections contain the results of: (a) electro-thermal simulations of SiC power MOSFETs using a SPICE-like simulation program; (b) modelling thermal properties of inductors taking into account the influence of the core volume on the efficiency of heat removal; (c) investigations into the problem of inserting a temperature sensor in the neighbourhood of a chip to monitor its junction temperature; (d) computations of the internal temperature of power LEDs situated in modules containing multiple-power LEDs, taking into account both self-heating in each power LED and mutual thermal couplings between each diode; (e) analyses of DC-DC converters using the electrothermal averaged model of the diode–transistor switch, including an IGBT and a rapid-switching diode; (f) electrothermal modelling of SiC power BJTs; (g) analysis of the efficiency of selected algorithms used for solving heat transfer problems at nanoscale; (h) analysis related to thermal simulation of the test structure dedicated to heat-diffusion investigation at the nanoscale.
Dual-Phase-Lag heat transfer model --- thermal simulation algorithm --- thermal measurements --- Finite Difference Method scheme --- Grünwald–Letnikov fractional derivative --- Krylov subspace-based model order reduction --- algorithm efficiency analysis --- relative error analysis --- algorithm convergence analysis --- computational complexity analysis --- finite difference method scheme --- BJT --- modelling --- self-heating --- silicon carbide --- SPICE --- IGBT --- DC–DC converter --- electrothermal model --- averaged model --- thermal phenomena --- diode–transistor switch --- power electronics --- multi-LED lighting modules --- device thermal coupling --- compact thermal models --- temperature sensors --- microprocessor --- throughput improvement --- inductors --- ferromagnetic cores --- thermal model --- transient thermal impedance --- thermal resistance --- electrothermal (ET) simulation --- finite-element method (FEM) --- model-order reduction (MOR) --- multicellular power MOSFET --- silicon carbide (SiC)
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This book is devoted to the latest advances in the area of electrothermal modelling of electronic components and networks. It contains eight sections by different teams of authors. These sections contain the results of: (a) electro-thermal simulations of SiC power MOSFETs using a SPICE-like simulation program; (b) modelling thermal properties of inductors taking into account the influence of the core volume on the efficiency of heat removal; (c) investigations into the problem of inserting a temperature sensor in the neighbourhood of a chip to monitor its junction temperature; (d) computations of the internal temperature of power LEDs situated in modules containing multiple-power LEDs, taking into account both self-heating in each power LED and mutual thermal couplings between each diode; (e) analyses of DC-DC converters using the electrothermal averaged model of the diode–transistor switch, including an IGBT and a rapid-switching diode; (f) electrothermal modelling of SiC power BJTs; (g) analysis of the efficiency of selected algorithms used for solving heat transfer problems at nanoscale; (h) analysis related to thermal simulation of the test structure dedicated to heat-diffusion investigation at the nanoscale.
History of engineering & technology --- Dual-Phase-Lag heat transfer model --- thermal simulation algorithm --- thermal measurements --- Finite Difference Method scheme --- Grünwald–Letnikov fractional derivative --- Krylov subspace-based model order reduction --- algorithm efficiency analysis --- relative error analysis --- algorithm convergence analysis --- computational complexity analysis --- finite difference method scheme --- BJT --- modelling --- self-heating --- silicon carbide --- SPICE --- IGBT --- DC–DC converter --- electrothermal model --- averaged model --- thermal phenomena --- diode–transistor switch --- power electronics --- multi-LED lighting modules --- device thermal coupling --- compact thermal models --- temperature sensors --- microprocessor --- throughput improvement --- inductors --- ferromagnetic cores --- thermal model --- transient thermal impedance --- thermal resistance --- electrothermal (ET) simulation --- finite-element method (FEM) --- model-order reduction (MOR) --- multicellular power MOSFET --- silicon carbide (SiC)
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The classical uniformization theorem for Riemann surfaces and its recent extensions can be viewed as introducing special pseudogroup structures, affine or projective structures, on Riemann surfaces. In fact, the additional structures involved can be considered as local forms of the uniformizations of Riemann surfaces. In this study, Robert Gunning discusses the corresponding pseudogroup structures on higher-dimensional complex manifolds, modeled on the theory as developed for Riemann surfaces.Originally published in 1978.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Analytical spaces --- Differential geometry. Global analysis --- Complex manifolds --- Connections (Mathematics) --- Pseudogroups --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Global analysis (Mathematics) --- Lie groups --- Geometry, Differential --- Analytic spaces --- Manifolds (Mathematics) --- Adjunction formula. --- Affine connection. --- Affine transformation. --- Algebraic surface. --- Algebraic torus. --- Algebraic variety. --- Analytic continuation. --- Analytic function. --- Automorphic function. --- Automorphism. --- Bilinear form. --- Canonical bundle. --- Characterization (mathematics). --- Cohomology. --- Compact Riemann surface. --- Complex Lie group. --- Complex analysis. --- Complex dimension. --- Complex manifold. --- Complex multiplication. --- Complex number. --- Complex plane. --- Complex torus. --- Complex vector bundle. --- Contraction mapping. --- Covariant derivative. --- Differentiable function. --- Differentiable manifold. --- Differential equation. --- Differential form. --- Differential geometry. --- Differential operator. --- Dimension (vector space). --- Dimension. --- Elliptic operator. --- Elliptic surface. --- Enriques surface. --- Equation. --- Existential quantification. --- Explicit formula. --- Explicit formulae (L-function). --- Exterior derivative. --- Fiber bundle. --- General linear group. --- Geometric genus. --- Group homomorphism. --- Hausdorff space. --- Holomorphic function. --- Homomorphism. --- Identity matrix. --- Invariant subspace. --- Invertible matrix. --- Irreducible representation. --- Jacobian matrix and determinant. --- K3 surface. --- Kähler manifold. --- Lie algebra representation. --- Lie algebra. --- Line bundle. --- Linear equation. --- Linear map. --- Linear space (geometry). --- Linear subspace. --- Manifold. --- Mathematical analysis. --- Mathematical induction. --- Ordinary differential equation. --- Partial differential equation. --- Permutation. --- Polynomial. --- Principal bundle. --- Projection (linear algebra). --- Projective connection. --- Projective line. --- Pseudogroup. --- Quadratic transformation. --- Quotient space (topology). --- Representation theory. --- Riemann surface. --- Riemann–Roch theorem. --- Schwarzian derivative. --- Sheaf (mathematics). --- Special case. --- Subalgebra. --- Subgroup. --- Submanifold. --- Symmetric tensor. --- Symmetrization. --- Tangent bundle. --- Tangent space. --- Tensor field. --- Tensor product. --- Tensor. --- Theorem. --- Topological manifold. --- Uniformization theorem. --- Uniformization. --- Unit (ring theory). --- Vector bundle. --- Vector space. --- Fonctions de plusieurs variables complexes --- Variétés complexes
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This computationally oriented book describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms. The book bridges different mathematical areas to obtain algorithms to estimate bilinear forms involving two vectors and a function of the matrix. The first part of the book provides the necessary mathematical background and explains the theory. The second part describes the applications and gives numerical examples of the algorithms and techniques developed in the first part. Applications addressed in the book include computing elements of functions of matrices; obtaining estimates of the error norm in iterative methods for solving linear systems and computing parameters in least squares and total least squares; and solving ill-posed problems using Tikhonov regularization. This book will interest researchers in numerical linear algebra and matrix computations, as well as scientists and engineers working on problems involving computation of bilinear forms.
Matrices. --- Numerical analysis. --- Mathematical analysis --- Algebra, Matrix --- Cracovians (Mathematics) --- Matrix algebra --- Matrixes (Algebra) --- Algebra, Abstract --- Algebra, Universal --- Matrices --- Numerical analysis --- Algorithm. --- Analysis of algorithms. --- Analytic function. --- Asymptotic analysis. --- Basis (linear algebra). --- Basis function. --- Biconjugate gradient method. --- Bidiagonal matrix. --- Bilinear form. --- Calculation. --- Characteristic polynomial. --- Chebyshev polynomials. --- Coefficient. --- Complex number. --- Computation. --- Condition number. --- Conjugate gradient method. --- Conjugate transpose. --- Cross-validation (statistics). --- Curve fitting. --- Degeneracy (mathematics). --- Determinant. --- Diagonal matrix. --- Dimension (vector space). --- Eigenvalues and eigenvectors. --- Equation. --- Estimation. --- Estimator. --- Exponential function. --- Factorization. --- Function (mathematics). --- Function of a real variable. --- Functional analysis. --- Gaussian quadrature. --- Hankel matrix. --- Hermite interpolation. --- Hessenberg matrix. --- Hilbert matrix. --- Holomorphic function. --- Identity matrix. --- Interlacing (bitmaps). --- Inverse iteration. --- Inverse problem. --- Invertible matrix. --- Iteration. --- Iterative method. --- Jacobi matrix. --- Krylov subspace. --- Laguerre polynomials. --- Lanczos algorithm. --- Linear differential equation. --- Linear regression. --- Linear subspace. --- Logarithm. --- Machine epsilon. --- Matrix function. --- Matrix polynomial. --- Maxima and minima. --- Mean value theorem. --- Meromorphic function. --- Moment (mathematics). --- Moment matrix. --- Moment problem. --- Monic polynomial. --- Monomial. --- Monotonic function. --- Newton's method. --- Numerical integration. --- Numerical linear algebra. --- Orthogonal basis. --- Orthogonal matrix. --- Orthogonal polynomials. --- Orthogonal transformation. --- Orthogonality. --- Orthogonalization. --- Orthonormal basis. --- Partial fraction decomposition. --- Polynomial. --- Preconditioner. --- QR algorithm. --- QR decomposition. --- Quadratic form. --- Rate of convergence. --- Recurrence relation. --- Regularization (mathematics). --- Rotation matrix. --- Singular value. --- Square (algebra). --- Summation. --- Symmetric matrix. --- Theorem. --- Tikhonov regularization. --- Trace (linear algebra). --- Triangular matrix. --- Tridiagonal matrix. --- Upper and lower bounds. --- Variable (mathematics). --- Vector space. --- Weight function.
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Fibre bundles, now an integral part of differential geometry, are also of great importance in modern physics--such as in gauge theory. This book, a succinct introduction to the subject by renown mathematician Norman Steenrod, was the first to present the subject systematically. It begins with a general introduction to bundles, including such topics as differentiable manifolds and covering spaces. The author then provides brief surveys of advanced topics, such as homotopy theory and cohomology theory, before using them to study further properties of fibre bundles. The result is a classic and timeless work of great utility that will appeal to serious mathematicians and theoretical physicists alike.
#WWIS:d.d. Prof. L. Bouckaert/ALTO --- 515.1 --- 515.1 Topology --- Topology --- Topology. --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Algebraic topology. --- Associated bundle. --- Associative algebra. --- Associative property. --- Atlas (topology). --- Automorphism. --- Axiomatic system. --- Barycentric subdivision. --- Bilinear map. --- Bundle map. --- Classification theorem. --- Coefficient. --- Cohomology ring. --- Cohomology. --- Conjugacy class. --- Connected component (graph theory). --- Connected space. --- Coordinate system. --- Coset. --- Cup product. --- Cyclic group. --- Determinant. --- Differentiable manifold. --- Differential structure. --- Dimension (vector space). --- Direct product. --- Division algebra. --- Equivalence class. --- Equivalence relation. --- Euler number. --- Existence theorem. --- Existential quantification. --- Factorization. --- Fiber bundle. --- Frenet–Serret formulas. --- Gram–Schmidt process. --- Group theory. --- Homeomorphism. --- Homology (mathematics). --- Homomorphism. --- Homotopy group. --- Homotopy. --- Hopf theorem. --- Hurewicz theorem. --- Identity element. --- Inclusion map. --- Inner automorphism. --- Invariant subspace. --- Invertible matrix. --- Jacobian matrix and determinant. --- Klein bottle. --- Lattice of subgroups. --- Lie group. --- Line element. --- Line segment. --- Linear map. --- Linear space (geometry). --- Linear subspace. --- Manifold. --- Mapping cylinder. --- Metric tensor. --- N-sphere. --- Natural topology. --- Octonion. --- Open set. --- Orientability. --- Orthogonal group. --- Orthogonalization. --- Permutation. --- Principal bundle. --- Product topology. --- Quadratic form. --- Quaternion. --- Retract. --- Separable space. --- Set theory. --- Simplicial complex. --- Special case. --- Stiefel manifold. --- Subalgebra. --- Subbase. --- Subgroup. --- Subset. --- Symmetric tensor. --- Tangent bundle. --- Tangent space. --- Tangent vector. --- Tensor field. --- Tensor. --- Theorem. --- Tietze extension theorem. --- Topological group. --- Topological space. --- Transitive relation. --- Transpose. --- Union (set theory). --- Unit sphere. --- Universal bundle. --- Vector field.
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