|
|
|
References to 'geometrically defined double groupoid with connection'
|
|
|
1. 2-category of double groupoids by bci1 2. A Geometrical Theory of Diffraction by bloftin 3. Acoustic Resonance in Pipes and Helmholtz Resonators by bloftin 4. Acoustic Waves, Sound Intensity, and Acoustic Impedance by bloftin 5. Angular Velocity and Angular Acceleration as Vectors by bloftin 6. applying Kepler's third law by bloftin 7. Beats, Interference, and Coherence by bloftin 8. behavior of light by bloftin 9. Bessel functions: applications to diffraction by helical structures by bci1 10. Calculus of Variations Examples: Fundamental Lemma Problems by bloftin 11. Calculus of Variations Examples: Localization and Test Functions by bloftin 12. Calculus of Variations: Beltrami Problems and Catenary-Type Examples by bloftin 13. Calculus of Variations: Computing Second Variations - Exercises by bloftin 14. Calculus of Variations: Constrained Physical Systems - Worked Examples by bloftin 15. Calculus of Variations: Endpoints, Natural Boundary Conditions, and Transversality by bloftin 16. Calculus of Variations: Euler-Bernoulli Beam Problems and Worked Solutions by bloftin 17. Calculus of Variations: First Integrals and Special Forms of the Euler--Lagrange Equation by bloftin 18. Calculus of Variations: First Variations of Common Functionals by bloftin 19. Calculus of Variations: Free-Endpoint Problems and Worked Solutions by bloftin 20. Calculus of Variations: Functionals, Admissible Functions, and Extrema by bloftin 21. Calculus of Variations: Hamilton's Principle and Classical Mechanics by bloftin 22. Calculus of Variations: Hamilton's Principle and Classical Mechanics - Exercises by bloftin 23. Calculus of Variations: Higher-Order Variational Problems by bloftin 24. Calculus of Variations: Piecewise-Smooth Extremals and the Weierstrass-Erdmann Corner Conditions by bloftin 25. Calculus of Variations: Several Dependent Variables and Vector Functionals by bloftin 26. Calculus of Variations: The Classical Isoperimetric Problem - Worked Examples and Proofs by bloftin 27. Calculus of Variations: The Euler--Lagrange equation by bloftin 28. Calculus of Variations: The Fundamental Lemma by bloftin 29. Calculus of Variations: The Jacobi Equation and Conjugate Points by bloftin 30. Calculus of Variations: The Second Variation and the Legendre Condition by bloftin 31. Calculus of Variations: Variations and the First Variation by bloftin 32. Calculus of Variations: Vector Trajectory Problems and Conserved Momentum by bloftin 33. categories of quantum automata and quantum computers by bci1 34. category of pseudo-Riemannian manifolds by bci1 35. category of Riemannian manifolds by bci1 36. Celestial Mechanics: Gravitational Potential and Spherical Gravity - Worked Problems and Complete Solutions by bloftin 37. Celestial Mechanics: Newton's Law of Universal Gravitation by bloftin 38. Celestial Mechanics: Newtonian Gravitation - Worked Problems and Complete Solutions by bloftin 39. Center of Mass Motion and System Dynamics by bloftin 40. Circular Membranes, Bessel Functions, and Radial-Angular Modes by bloftin 41. Collisions in Two Dimensions by bloftin 42. commutation relations of angular momentum by bloftin 43. commutative square diagram by bci1 44. complex categorical dynamics by bci1 45. conduction by bloftin 46. constant acceleration motion by bloftin 47. Constellations by bloftin 48. cosmic microwave background radiation by bloftin 49. Cosmological Difficulties of Newton's Theory by bloftin 50. Coulomb's law by bloftin 51. cubically thin homotopy by bci1 52. D'Alembertian by invisiblerhino 53. Damped Harmonic Motion by bloftin 54. Derivation of the Fourier Cosine Coefficients by bloftin 55. Derivation of the Fourier Sine and Constant Coefficients by bloftin 56. determinant by bloftin 57. Diatomic Oscillator Chains and Acoustic and Optical Branches by bloftin 58. differential equations by bloftin 59. Discrete Oscillator Chains and Dispersion by bloftin 60. double category by bci1 61. double groupoid geometry by bci1 62. double groupoid with connection by bci1 63. drag by bloftin 64. Drag Forces and Terminal Velocity by bloftin 65. Dynamical Masses from Kepler's Third Law: A Derivation by bloftin 66. Eccentricity Vector by bloftin 67. ECI to ECEF Coordinates: Earth Rotation and the GPS Ascending-Node Equation by bloftin 68. Eight Minutes That Reformed Astronomy: Tycho Brahe, Kepler, and Astronomia Nova (1609) by bloftin 69. Electric Field by bloftin 70. electromagnetic spectrum by bloftin 71. Electromagnetic Waves, Antennas, and RF: Antenna Directivity, Radiation Efficiency, Gain, EIRP, and Effective Aperture by bloftin 72. Electromagnetic Waves, Antennas, and RF: Boundary Waves - Reflection, Transmission, and Refraction by bloftin 73. Electromagnetic Waves, Antennas, and RF: Electric Charge and the Electric Field - Exercises and Complete Worked Solutions by bloftin 74. Electromagnetic Waves, Antennas, and RF: Polarization of Electromagnetic Waves by bloftin 75. Electromagnetic Waves, Antennas, and RF: The Laplacian and the 3D Wave Equation - Exercises and Complete Worked Solutions by bloftin 76. Electromagnetic Waves, Antennas, and RF: Transmission Lines - Exercises and Complete Worked Solutions by bloftin 77. Electromagnetic Waves, Antennas, and RF: Wave Propagation in Materials by bloftin 78. Electromagnetic Waves, Antennas, and RF: Wave Propagation in Materials - Exercises and Complete Worked Solutions by bloftin 79. Electromagnetic Waves: Ampere-Maxwell Law and Displacement Current by bloftin 80. Electromagnetic Waves: Electric Current and Current Density by bloftin 81. Electromagnetic Waves: Electric Current and Current Density - Exercises and Complete Worked Solutions by bloftin 82. Electromagnetic Waves: Electromagnetic Energy, Poynting Vector, and Intensity - Exercises and Complete Worked Solutions by bloftin 83. Electromagnetic Waves: Electromagnetic Energy, the Poynting Vector, and Intensity by bloftin 84. Electromagnetic Waves: Faraday's Law and Electromagnetic Induction - Exercises and Complete Worked Solutions by bloftin 85. Electromagnetic Waves: Maxwell's Equations as a Complete System by bloftin 86. Electromagnetic Waves: Maxwell's Equations as a Complete System - Exercises and Complete Worked Solutions by bloftin 87. Energy Methods for Particle Systems by bloftin 88. equation of catenary via calculus of variations by pahio 89. equatorial coordinate system example problem by bloftin 90. ETAS interpretation by bci1 91. Euclidean and Non-Euclidean Continuum by bloftin 92. Euler angles: definition and basic geometry by bloftin 93. example calculating orbital periods by bloftin 94. example of behavior of light: inverse square law for light by bloftin 95. example of dynamics of a particle: constrained motion by bloftin 96. example of electrical power by bloftin 97. example of electromagnetic spectrum: calculating power of a star by bloftin 98. example of Electromagnetic Waves, Antennas, and RF: Radiation from Time-Varying Currents and the Hertzian Dipole by bloftin 99. example of Euler angles: 3-1-3 proper Euler sequence by bloftin 100. example of generalized coordinates for constrained motion on a horizontal circle by bloftin 101. example of Kinetic Energy and the Work-Energy Theorem by bloftin 102. example of line integral by bloftin 103. example of linear least squares by bloftin 104. example of quaternion norm by bloftin 105. example of quaternion product by bloftin 106. example of solving the heat equation by bloftin 107. example of Wave Mechanics: Deriving the 1D String Wave Equation from Newton's Second Law by bloftin 108. example of Wave Mechanics: Energy in a 1D Wave by bloftin 109. example of Wave Mechanics: Initial Conditions and the d'Alembert Solution by bloftin 110. example of Wave Mechanics: Mechanical Wave Impedance by bloftin 111. example of Wave Mechanics: Wave Intensity and Flux by bloftin 112. examples of surface integral by bloftin 113. expanding universe by bloftin 114. figure testing by bloftin 115. Fixed-Axis Rotation and Particle Kinematics by bloftin 116. four-color theorem by bci1 117. Fourier Cosine-Coefficient Derivation and Projection Exercises by bloftin 118. Fourier Series Roadmap, Motivation, and Learning Path by bloftin 119. Fourier Sine and Constant Coefficient Derivation Exercises by bloftin 120. Fresnel formulae by pahio 121. frictionless inclined plane by bloftin 122. Full Numerical GPS Broadcast Ephemeris Solution: From Decoded LNAV Parameters to ECEF Position, Velocity, and Acceleration by bloftin 123. Function Inner-Product, Orthogonality, and Projection Exercises by bloftin 124. generalities on quantum field theory by bloftin 125. GPS Broadcast Ephemeris User Equations - Kepler Propagation by bloftin 126. Gravitational Fields, Superposition, and Continuous Mass Distributions by bloftin 127. GRE Physics Companion: Acoustic Resonance in Pipes and Helmholtz Resonators by bloftin 128. GRE Physics Companion: Drag Forces and Terminal Velocity by bloftin 129. GRE Physics Companion: Driven Harmonic Motion and Resonance by bloftin 130. GRE Physics Companion: Dynamics of Circular Motion by bloftin 131. GRE Physics Companion: Helmholtz Equation, Boundary-Value Problems, and Eigenfunction Expansions by bloftin 132. GRE Physics Companion: Moment of Inertia of Discrete and Continuous Bodies by bloftin 133. GRE Physics Companion: Position and Displacement by bloftin 134. GRE Physics Companion: Separation of Variables, Membranes, and Two-Dimensional Normal Modes by bloftin 135. GRE Physics Companion: Units and Dimensional Analysis by bloftin 136. GRE Physics Companion: Variable Acceleration Motion by bloftin 137. groupoid and group representations by bci1 138. Helmholtz Equation, Boundary-Value Problems, and Eigenfunction Expansions by bloftin 139. higher dimensional algebra by bci1 140. highly complex systems by bci1 141. Home Electrodynamics Laboratory - Roadmap, Bench Setup, Measurement Practice by bloftin 142. homotopy category by bci1 143. homotopy double groupoid of a Hausdorff space by bci1 144. index of algebraic topology by bci1 145. index of category theory by bci1 146. invertible matrix by bloftin 147. Kepler's three laws of planetary motion summarized by bloftin 148. Kinetic Energy and the Work-Energy Theorem by bloftin 149. Laplace equation in cylindrical coordinates by bloftin 150. laws of planetary motion by bloftin 151. line integral by bloftin 152. luminosity by bloftin 153. M06-01 Simple Harmonic Motion by bloftin 154. mass spring example of oscillation by bloftin 155. mean translational kinetic energy by bloftin 156. Minimum-Effort Interception of a Moving Target by bloftin 157. moment of inertia by bloftin 158. Moment of Inertia of Discrete and Continuous Bodies by bloftin 159. Newton's law of universal gravitation by bloftin 160. Newton's Shell Theorem and Spherical Mass Distributions by bloftin 161. non-Abelian algebraic topology by bci1 162. non-Newtonian calculi by vip6 163. nuclear magnetic resonance principles by bci1 164. On Variational Principles in Elasticity by bloftin 165. Orbit Equation, Conic Sections, and Kepler's First Law by bloftin 166. Orbital Energy, Escape Speed, and Bound versus Unbound Motion by bloftin 167. Orthogonality of Sines and Cosines by bloftin 168. oscillation by bloftin 169. Parallel-Axis and Perpendicular-Axis Theorems by bloftin 170. parameter by bci1 171. penny falling from Empire State Building by bloftin 172. Perifocal State Vectors: Reconstructing Position and Velocity from Orbital Elements by bloftin 173. Periodic Functions, Harmonics, and Why Fourier Series Exist by bloftin 174. Periodic-Function and Harmonic-Building Exercises by bloftin 175. Polar Coordinate Particle Kinematics by bloftin 176. Power by bloftin 177. Preliminary definitions and general notions by bloftin 178. principles of NIR spectroscopy by vip6 179. quantum automata by bci1 180. quantum geometry by bci1 181. Quantum operator algebras in QFT by bci1 182. quantum symmetries from group and groupoid representations by bci1 183. quaternion definition and basic algebra by bloftin 184. quaternion exercises for physics and engineering by bloftin 185. quaternion inverse by bloftin 186. quaternion norm by bloftin 187. quaternion product by bloftin 188. radio telescopes by bloftin 189. resonance by bci1 190. Riemann surface by rspuzio 191. Schr\"odinger equation wtih ramp potential by bloftin 192. Separation of Variables, Membranes, and Two-Dimensional Normal Modes by bloftin 193. SI units and derivations by Wkbj79 194. Simple Derivation of the Lorentz Transformation by bloftin 195. Sine-Cosine Orthogonality and Harmonic-Integral Exercises by bloftin 196. Small Oscillations and the Normal-Mode Eigenvalue Problem by bloftin 197. solving the wave equation due to D. Bernoulli by bloftin 198. space-time quantization in quantum gravity theories by bci1 199. Specific Mechanical Energy, the Eccentricity Vector, and the Conic-Orbit Equation by bloftin 200. Stefan-Boltzamann law by bloftin 201. stellar magnitude by bloftin 202. superalgebroids in higher dimensions by bci1 203. supercategory by bci1 204. supercategory theories by bci1 205. superconductivity by bci1 206. surface integral by bloftin 207. telegraph equation by pahio 208. The Possibility of a ``Finite" and yet ``Unbounded" Universe by bloftin 209. The Six Constants of Orbital Motion: From Initial Conditions to Orbital Elements by bloftin 210. The Solution of the Problem of Gravitation on the Basis of the General Principle of Relativity by bloftin 211. The System of Co-ordinate by bloftin 212. thermodynamics an introduction and definitions by bloftin 213. thin double track by bci1 214. thin square by bci1 215. Time Along the Orbit: Eccentric Anomaly, Mean Anomaly, and Kepler's Equation by bloftin 216. time dilation by curious 217. time independent Schr\"odinger equation in spherical coordinates by bloftin 218. ultracomplex systems and categorical dynamics by bci1 219. uncertainty by waves by pahio 220. uniform circular motion by bloftin 221. Units and Dimensional Analysis in Mechanics by bloftin 222. Variable Acceleration Motion by bloftin 223. Variable Mass Systems and the Rocket Equation by bloftin 224. Variational Principles in the Mathematical Theory of Plasticity by bloftin 225. Vectors and Their Composition by bloftin 226. Vectors, Fields, and Coordinate Geometry by bloftin 227. virial theorem by bloftin 228. volume integral by bloftin 229. wave equation by bloftin 230. wave equation of a free particle by bloftin 231. wave equations by bci1 232. Wave Equations in Two and Three Dimensions and Spherical Waves by bloftin 233. wave function space by bloftin 234. Wave Mechanics Examples: Deriving the 1D String Wave Equation by bloftin 235. Wave Mechanics Examples: Partial Derivatives for Waves by bloftin 236. Wave Mechanics Examples: Traveling-Wave Solutions of the 1D Wave Equation by bloftin 237. Wave Mechanics Series Overview and Article Guide by bloftin 238. Wave Mechanics: Average Power of a Sinusoidal Wave by bloftin 239. Wave Mechanics: Deriving the 1D String Wave Equation from Newton's Second Law by bloftin 240. Wave Mechanics: Energy in a 1D Wave by bloftin 241. Wave Mechanics: Initial Conditions and the d'Alembert Solution by bloftin 242. Wave Mechanics: Mechanical Wave Impedance by bloftin 243. Wave Mechanics: Power Carried by a 1D Wave by bloftin 244. Wave Mechanics: Resonance by bloftin 245. Wave Mechanics: Sinusoidal Oscillation by bloftin 246. Wave Mechanics: Traveling-Wave Solutions of the 1D Wave Equation by bloftin 247. Wave Mechanics: Wave Intensity and Flux by bloftin 248. Wave Mechanics: Why Amplitude Is Not Energy by bloftin 249. Wave Scattering, Inhomogeneities, and the Born Approximation by bloftin 250. Why the Astronomical Unit Form of Kepler's Third Law Has No Explicit G by bloftin 251. Wigner--Weyl--Moyal quantization procedures by bci1
|
|
|
|