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References to 'algebraic categories and representations of classes of algebras'
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1. algebraic category of LMn -logic algebras by bci1
2. algebraic quantum field theories (AQFT) by bci1
3. Angular Velocity and Angular Acceleration as Vectors by bloftin
4. animated representation of 4D-space by bci1
5. automata theory and computer simulation applications to biomedicine by bci1
6. axiomatic theories and categorical foundations of mathematics by bci1
7. axiomatic theories of metacategories and supercategories by bci1
8. axiomatics and categorical foundations of mathematical physics by bci1
9. axioms of metacategories and supercategories by bci1
10. axioms: metatheories and general theories by bci1
11. Axis Angle Representation and Unit Quaternion by bloftin
12. Baum-Connes conjecture by bci1
13. bibliography for quantum field theories by bci1
14. biogroupoids and mathematical models of species evolution by bci1
15. black holes by bci1
16. C*-algebra by bci1
17. C*-Clifford algebra by bci1
18. Calculus of Variations: The Jacobi Equation and Conjugate Points by bloftin
19. canonical commutation and anti-commutation relations: their representations by bci1
20. categorical algebra by bci1
21. categorical diagrams defined as functors by bci1
22. categorical LM-algebraic logic and quantum logic by bci1
23. categories of quantum automata and quantum computers by bci1
24. category of $(M,R)$ -systems by bci1
25. category of molecular reactions by bci1
26. category of molecular sets by bci1
27. category of quantum automata by bci1
28. CCR representation theory by bci1
29. Celestial Mechanics: Newton's Equation for Orbital Motion by bloftin
30. cohomology group theorem by bci1
31. compact quantum groupoids by bci1
32. Complex Numbers as Vectors in the Complex Plane by bloftin
33. composition of rotations and quaternion order by bloftin
34. continuity equation by mdo
35. Degrees of Freedom in Mechanics by bloftin
36. Deriving IS-GPS-200 Table 20-IV: Satellite Velocity from the Broadcast Ephemeris by bloftin
37. Diatomic Oscillator Chains and Acoustic and Optical Branches by bloftin
38. Dirac equation by invisiblerhino
39. DNA molecular models by bci1
40. double groupoid geometry by bci1
41. duality and triality by bci1
42. duality in mathematics by bci1
43. Electromagnetic Waves, Antennas, and RF: Detailed GNSS Link-Budget Example from Satellite EIRP to Interference Margin by bloftin
44. Electromagnetic Waves, Antennas, and RF: Polarization of Electromagnetic Waves by bloftin
45. Electromagnetic Waves, Antennas, and RF: Radiation from Time-Varying Currents and the Hertzian Dipole by bloftin
46. Electromagnetic Waves, Antennas, and RF: The Laplacian and the 3D Wave Equation - Exercises and Complete Worked Solutions by bloftin
47. Electromagnetic Waves: Maxwell's Equations as a Complete System - Exercises and Complete Worked Solutions by bloftin
48. Elie J. Cartan by bci1
49. equivalent representations of groupoids by bci1
50. Euler angle series overview and article guide by bloftin
51. Euler angles: 3-1-3 proper Euler sequence by bloftin
52. Euler angles: 3-2-1 yaw pitch roll by bloftin
53. Euler angles: definition and basic geometry by bloftin
54. Euler angles: direction cosine matrix to Euler angles by bloftin
55. Euler angles: elementary axis rotations and passive rotation matrices by bloftin
56. Euler angles: intrinsic and extrinsic rotations by bloftin
57. Euler angles: proper Euler angles by bloftin
58. Euler angles: Tait Bryan angles by bloftin
59. example of Electromagnetic Waves, Antennas, and RF: Radiation from Time-Varying Currents and the Hertzian Dipole by bloftin
60. example of Euler angles: 3-1-3 proper Euler sequence by bloftin
61. example of Euler angles: 3-2-1 yaw pitch roll by bloftin
62. example of Euler angles: definition and basic geometry by bloftin
63. example of Euler angles: intrinsic and extrinsic rotations by bloftin
64. example of Euler angles: Tait Bryan angles by bloftin
65. example of numerical quaternion propagation and IMU attitude state integration by bloftin
66. example of quaternion norm by bloftin
67. example of quaternions and direction cosine matrices by bloftin
68. example of quaternions and Euler angles by bloftin
69. example of relative attitude and error quaternions by bloftin
70. example of rotating vectors with quaternions by bloftin
71. example of Wave Mechanics: Right- and Left-Traveling Solutions by bloftin
72. First-Order Relaxation - Direct Solution and Laplace-Transform Preview by bloftin
73. Fourier Analysis, Wave Packets, and Dispersion by bloftin
74. Fourier Series Roadmap, Motivation, and Learning Path by bloftin
75. Fourier Sine and Constant Coefficient Derivation Exercises by bloftin
76. free body diagram by bloftin
77. friction by bloftin
78. fundamental groupoid functors in quantum theories by bci1
79. general definition by bci1
80. generalized topoi with LMn algebraic logic classifiers by bci1
81. generalized toposes with many-valued logic subobject classifiers by bci1
82. gluons, quarks and QCD by bci1
83. GPS Broadcasts Extra Ephemeris Parameters: Delta-n, Node and Inclination Rates, and Harmonic Corrections by bloftin
84. Grassmann-Hopf algebras and coalgebras\gebras by bci1
85. GRE Physics Companion: Conservative Forces and Potential Energy by bloftin
86. GRE Physics Companion: Degrees of Freedom in Mechanics by bloftin
87. GRE Physics Companion: Fourier Analysis, Wave Packets, and Dispersion by bloftin
88. groupoid and group representations by bci1
89. groupoid C*-convolution algebra by bci1
90. groupoid representation theorem by bci1
91. groupoid representations induced by measure by bci1
92. Haag theorem by bci1
93. Helmholtz Equation, Boundary-Value Problems, and Eigenfunction Expansions by bloftin
94. higher dimensional algebra by bci1
95. highly complex systems by bci1
96. homotopy double groupoid of a Hausdorff space by bci1
97. Hopf algebras and quantum groups by bci1
98. index of algebraic geometry by bci1
99. index of algebraic topology by bci1
100. index of categories by bci1
101. index of category theory by bci1
102. index of quantum theories by bci1
103. Jan \L{}ukasiewicz by bci1
104. Klein-Gordon equation by invisiblerhino
105. Laplace Transform: Why Transform a Differential Equation? by bloftin
106. locally compact Hausdorff spaces by bci1
107. mathematical biology and theoretical biophysics by bci1
108. mathematical foundations of quantum field theories by bci1
109. metric superfields by bci1
110. molecular set category by bci1
111. Morita (uniqueness) theorem by bci1
112. n-groupoid by bci1
113. n-groupoids by bci1
114. Newtonian Two-Body Dynamics: Deriving the Satellite Equation of Motion by bloftin
115. Nicolae Popescu (mathematician) by bci1
116. non-Abelian Quantum Algebraic Topology by bci1
117. non-commutative dynamic modeling diagrams by bci1
118. numerical quaternion propagation and IMU attitude state integration by bloftin
119. Observables and States by rspuzio
120. organismic set theory by bci1
121. organismic set theory and relational biology by bci1
122. Organismic supercategories and super-complex system biodynamics by bci1
123. particle by bloftin
124. Periodic Functions, Harmonics, and Why Fourier Series Exist by bloftin
125. Principal Axes and Principal Moments of Inertia by bloftin
126. QED by bci1
127. quantized Riemann spaces by bci1
128. quantum automata by bci1
129. quantum chromodynamics (QCD) by bci1
130. quantum field theories (QFT) by bci1
131. quantum gravity programs by bci1
132. quantum groupoids and C*-algebras by bci1
133. quantum groups and dual Hopf algebras by bci1
134. quantum harmonic oscillator and Lie algebra by bci1
135. quantum LM-algebraic logic by bci1
136. quantum nano-automata by bci1
137. quantum operator algebras by bci1
138. Quantum operator algebras in QFT by bci1
139. quantum solitons by bci1
140. quantum super-operators by bci1
141. quantum symmetries from group and groupoid representations by bci1
142. quantum symmetry by bci1
143. Quantum topological order and extended quantum symmetries by bci1
144. quantum transformation groupoid by bci1
145. quaternion conjugate by bloftin
146. quaternion definition and basic algebra by bloftin
147. quaternion exercises for physics and engineering by bloftin
148. quaternion inverse by bloftin
149. quaternion kinematics and angular velocity by bloftin
150. quaternion product by bloftin
151. quaternions and direction cosine matrices by bloftin
152. quaternions and Euler angles by bloftin
153. Quaternions for Physics and Engineering: Orientation, Notation, and Conventions by bloftin
154. radio telescopes by bloftin
155. relative attitude and error quaternions by bloftin
156. representation of a Cc(G)*- topological algebra by bci1
157. representation of locally compact groupoids by bci1
158. representations of 4-D spaces by bci1
159. Representations of canonical anti-commutation relations (CAR) by bci1
160. representations of groupoids induced by measure by bci1
161. Robert Rosen by bci1
162. Rolling Without Slipping by bloftin
163. Ronald Brown by bci1
164. rotating vectors with quaternions by bloftin
165. Scalars and Vectors in Mechanics by bloftin
166. Schr\"odinger equation wtih ramp potential by bloftin
167. Similarity Transformation of the Inertia Tensor by bloftin
168. space-time quantization in quantum gravity theories by bci1
169. Spectral Flux Density: Definition, Units, and Astrophysical Use by bloftin
170. spin networks and spin foams by bci1
171. Strapdown Inertial Navigation Examples: Comparing DCM, Euler-Angle, Quaternion, and Rotation-Vector Propagation by bloftin
172. Strapdown Inertial Navigation Examples: Earth Rotation and Navigation Frames by bloftin
173. Strapdown Inertial Navigation Examples: Gyroscope Angular-Rate Sensing and Attitude Propagation by bloftin
174. Strapdown Inertial Navigation: Attitude Kinematics from Gyroscope Measurements by bloftin
175. Strapdown Inertial Navigation: Discrete Quaternion and Finite-Increment Propagation by bloftin
176. Strapdown Inertial Navigation: Earth Rotation and Navigation Frames by bloftin
177. Strapdown Inertial Navigation: Vectors, Coordinate Frames, and Direction Cosine Matrices by bloftin
178. supercategory of variable molecular sets by bci1
179. superfields by bci1
180. superspace and supergravity by bci1
181. symmetry and groupoid representations in functional biology by bci1
182. Table of categories and functor properties by bci1
183. the classical partial differential equations for Euclidean space by bloftin
184. The Inertia Tensor and Products of Inertia by bloftin
185. The Principle of Relativity in the Restricted Sense by bloftin
186. The Six Constants of Orbital Motion: From Initial Conditions to Orbital Elements by bloftin
187. theoretical biophysics and mathematical biology by bci1
188. theoretical programs in quantum gravity by bci1
189. theory of organismic sets and mathematical relations by bci1
190. topic entry on the algebraic foundations of mathematics by bci1
191. ultracomplex systems and categorical dynamics by bci1
192. uncertainty by waves by pahio
193. Units and Dimensional Analysis in Mechanics by bloftin
194. Variational Principles in the Mathematical Theory of Plasticity by bloftin
195. vector by bloftin
196. Vectors and Their Composition by bloftin
197. Wave Mechanics Examples: The Sinusoidal Traveling Wave by bloftin
198. Wave Mechanics: Harmonic Motion, Euler's Formula, and Complex Exponentials by bloftin
199. Wave Mechanics: Right- and Left-Traveling Solutions by bloftin
200. Wave Mechanics: Standing Waves by bloftin
201. weak Hopf algebra by bci1
202. weak Hopf C*-algebra by bci1
203. \'{E}lie Joseph Cartan by bci1
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