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1. algebraic topology and category theory, bibliography of by bci1
2. $C_1$-category by bci1
3. $C_2$-category by bci1
4. $C_3$-category by bci1
5. $\Omega$-spectrum by bci1
6. 2-C*-category by bci1
7. 2-category by bci1
8. 2-category of double groupoids by bci1
9. A Few Inferences from the General Principle of Relativity by bloftin
10. abstract relational biology (ARB) by bci1
11. Acceleration in Mechanics by bloftin
12. additive quotient category by bci1
13. Alexander Grothendieck by bci1
14. algebra formed from a category by rspuzio
15. algebraic categories and representations of classes of algebras by bci1
16. algebraic category of LMn -logic algebras by bci1
17. algebraic quantum field theories (AQFT) by bci1
18. algebraic topology by bci1
19. algebraic topology, categories and QAT: bibliography by bci1
20. algebraically solvable equation by pahio
21. algebroid structures and extended symmetries by bci1
22. alternative definition of category by rspuzio
23. alternative definition of small category by bci1
24. Angular Momentum, Orbital Planarity, and Kepler's Second Law by bloftin
25. Angular Velocity and Angular Acceleration as Vectors by bloftin
26. applied physics by bci1
27. Atomic and nuclear structure by bci1
28. automaton by bci1
29. axiomatic theories of metacategories and supercategories by bci1
30. axioms of metacategories and supercategories by bci1
31. axioms: metatheories and general theories by bci1
32. Axis Angle Representation and Unit Quaternion by bloftin
33. B-mod category equivalence theorem by bci1
34. Behaviour of Clocks and Measuring-Rods on a Rotating Body of Reference by bloftin
35. bibliography for mathematical physics foundations by bci1
36. bibliography for quantum field theories by bci1
37. bibliography: doctoral theses supervised by A. Grothendieck by bci1
38. Binary Stars as Physical Laboratories by bloftin
39. Binary Stars Companion: Classification, Angular Scales, and Archive Reconnaissance by bloftin
40. Birkhoff-Kakutani theorem by bci1
41. Borel space by bci1
42. C*-algebra by bci1
43. Calculus of Variations Examples: Fundamental Lemma Problems by bloftin
44. Calculus of Variations Examples: Localization and Test Functions by bloftin
45. Calculus of Variations: Beltrami Problems and Catenary-Type Examples by bloftin
46. Calculus of Variations: Constrained Physical Systems - Worked Examples by bloftin
47. Calculus of Variations: Constrained Variations and Isoperimetric Problems by bloftin
48. Calculus of Variations: Direct Epsilon Expansion Exercises by bloftin
49. Calculus of Variations: Endpoints, Natural Boundary Conditions, and Transversality by bloftin
50. Calculus of Variations: Euler--Lagrange Introductory Exercises and Worked Solutions by bloftin
51. Calculus of Variations: First Integrals and Special Forms of the Euler--Lagrange Equation by bloftin
52. Calculus of Variations: Functional Evaluation and Comparison Exercises by bloftin
53. Calculus of Variations: Functionals, Admissible Functions, and Extrema by bloftin
54. Calculus of Variations: Hamilton's Principle and Classical Mechanics - Exercises by bloftin
55. Calculus of Variations: Strong Extrema and Sufficiency Conditions by bloftin
56. Calculus of Variations: The Classical Isoperimetric Problem - Worked Examples and Proofs by bloftin
57. Calculus of Variations: The Euler--Lagrange equation by bloftin
58. Calculus of Variations: The Fundamental Lemma by bloftin
59. Calculus of Variations: The Jacobi Equation and Conjugate Points by bloftin
60. Calculus of Variations: Variations and the First Variation by bloftin
61. categorical algebra by bci1
62. categorical diagrams defined as functors by bci1
63. categorical LM-algebraic logic and quantum logic by bci1
64. categorical sequence by bci1
65. categories and algebraic topology, bibliography for QAT, by bci1
66. categories and supercategories in relational biology by bci1
67. categories of groupoids by bci1
68. categories of Polish groups and Polish spaces by bci1
69. categories of quantum automata and quantum computers by bci1
70. category of $(M,R)$ -systems by bci1
71. category of additive fractions by bci1
72. category of automata by bci1
73. category of Borel spaces by bci1
74. category of C*-algebras by bci1
75. category of groupoids by bci1
76. category of H *-algebras by bci1
77. category of Hilbert spaces by bci1
78. category of molecular reactions by bci1
79. category of molecular sets by bci1
80. category of pseudo-Riemannian manifolds by bci1
81. category of quantum automata by bci1
82. category of Riemannian manifolds by bci1
83. category theory by bci1
84. category theory applications by bci1
85. classical mechanics history by bci1
86. cohomology group theorem by bci1
87. Color in Astrophysics by bloftin
88. commutative square diagram by bci1
89. commutator algebra by bloftin
90. compact quantum groupoids by bci1
91. Complete CNAV Numerical Solution: IS-GPS-200 Table 30-II from Broadcast Parameters to ECEF State by bloftin
92. complex categorical dynamics by bci1
93. Complex Numbers as Vectors in the Complex Plane by bloftin
94. complex systems biophysics by bci1
95. composition of rotations and quaternion order by bloftin
96. computer by bci1
97. conduction by bloftin
98. Conservation of Mechanical Energy by bloftin
99. Conservative Forces and Potential Energy by bloftin
100. constant acceleration motion by bloftin
101. construction of Riemann surface using paths by rspuzio
102. Continuous Strings, Standing Waves, and Normal Modes by bloftin
103. covariance and contravariance by bloftin
104. cross product by bloftin
105. curl by bloftin
106. CW-complex of spin networks (CWSN) by bci1
107. Derivation of the Fourier Cosine Coefficients by bloftin
108. Derivation of the Fourier Sine and Constant Coefficients by bloftin
109. Deriving IS-GPS-200 Table 20-IV: Harmonic Corrections, Orbital-Plane Coordinates, and ECEF Position by bloftin
110. Deriving IS-GPS-200 Table 20-IV: J2 Gravity and ECEF Satellite Acceleration by bloftin
111. Deriving IS-GPS-200 Table 20-IV: Satellite Velocity from the Broadcast Ephemeris by bloftin
112. determination of Fourier coefficients by pahio
113. differential propositional calculus by Jon Awbrey
114. Dirac notations-delta and observable algebras by bci1
115. direction cosines by bloftin
116. double category by bci1
117. double groupoid geometry by bci1
118. duality and triality by bci1
119. duality in mathematics by bci1
120. Eccentricity Vector by bloftin
121. ECI to ECEF Coordinates: Earth Rotation and the GPS Ascending-Node Equation by bloftin
122. Einstein's GR field equations by bci1
123. electromagnetic spectrum by bloftin
124. Electromagnetic Waves, Antennas, and RF: Antenna Directivity, Radiation Efficiency, Gain, EIRP, and Effective Aperture by bloftin
125. Electromagnetic Waves, Antennas, and RF: Antenna Directivity, Radiation Efficiency, Gain, EIRP, and Effective Aperture - Exercises and Complete Worked Solutions by bloftin
126. Electromagnetic Waves, Antennas, and RF: Electromagnetic Momentum, Radiation Pressure, and Photon Momentum - Exercises and Complete Worked Solutions by bloftin
127. Electromagnetic Waves, Antennas, and RF: Huygens Principle and Electromagnetic Field Equivalence by bloftin
128. Electromagnetic Waves, Antennas, and RF: Huygens Principle and Electromagnetic Field Equivalence - Exercises by bloftin
129. Electromagnetic Waves, Antennas, and RF: Spatial Derivatives of Fields - Gradient, Divergence, and Curl by bloftin
130. Electromagnetic Waves, Antennas, and RF: The Laplacian and the 3D Wave Equation by bloftin
131. Electromagnetic Waves: Ampere-Maxwell Law and Displacement Current by bloftin
132. Electromagnetic Waves: Deriving the Electromagnetic Wave Equation from Maxwell's Equations by bloftin
133. Electromagnetic Waves: Electric Flux by bloftin
134. Electromagnetic Waves: Electromagnetic Energy, the Poynting Vector, and Intensity by bloftin
135. Electromagnetic Waves: Electromagnetic Momentum, Radiation Pressure, and Photon Momentum - Exercises by bloftin
136. Electromagnetic Waves: Electromagnetic Wave Equation - Exercises and Complete Worked Solutions by bloftin
137. Electromagnetic Waves: From a 1D Wave to a Field by bloftin
138. Electromagnetic Waves: Maxwell's Equations as a Complete System - Exercises and Complete Worked Solutions by bloftin
139. Electromagnetism by bloftin
140. elementary function by pahio
141. Energy Methods for Rigid Bodies by bloftin
142. Enriched Category Theory by bci1
143. equation of catenary via calculus of variations by pahio
144. essential subcategory by bci1
145. ETAC by bci1
146. ETAS interpretation by bci1
147. Euler 123 sequence by bloftin
148. Euler 132 sequence by bloftin
149. Euler 213 sequence by bloftin
150. Euler 231 sequence by bloftin
151. Euler 312 Sequence by bloftin
152. Euler 321 sequence by bloftin
153. Euler angle series overview and article guide by bloftin
154. Euler angles: 3-1-3 proper Euler sequence by bloftin
155. Euler angles: 3-2-1 yaw pitch roll by bloftin
156. Euler angles: definition and basic geometry by bloftin
157. Euler angles: direction cosine matrix to Euler angles by bloftin
158. Euler angles: elementary axis rotations and passive rotation matrices by bloftin
159. Euler angles: intrinsic and extrinsic rotations by bloftin
160. Euler Angles: Orientation, Notation, and Conventions by bloftin
161. Euler angles: proper Euler angles by bloftin
162. Euler angles: sequence composition and the twelve standard sequences by bloftin
163. Euler angles: Tait Bryan angles by bloftin
164. example of Axis Angle Representation and Unit Quaternion by bloftin
165. example of composition of rotations and quaternion order by bloftin
166. example of electrical power by bloftin
167. example of Euler angles: 3-1-3 proper Euler sequence by bloftin
168. example of Euler angles: 3-2-1 yaw pitch roll by bloftin
169. example of Euler angles: definition and basic geometry by bloftin
170. example of Euler angles: direction cosine matrix to Euler angles by bloftin
171. example of Euler angles: elementary axis rotations and passive rotation matrices by bloftin
172. example of Euler angles: proper Euler angles by bloftin
173. example of Euler angles: sequence composition and the twelve standard sequences by bloftin
174. example of Euler angles: Tait Bryan angles by bloftin
175. example of Linear Momentum and Impulse by bloftin
176. example of numerical quaternion propagation and IMU attitude state integration by bloftin
177. example of particle by bloftin
178. example of quaternion conjugate by bloftin
179. example of quaternion definition and basic algebra by bloftin
180. example of quaternion inverse by bloftin
181. example of quaternion norm by bloftin
182. example of quaternion product by bloftin
183. example of quaternions and direction cosine matrices by bloftin
184. example of relative attitude and error quaternions by bloftin
185. example of rotating vectors with quaternions by bloftin
186. example of Wave Mechanics: Initial Conditions and the d'Alembert Solution by bloftin
187. example of Wave Mechanics: Power Carried by a 1D Wave by bloftin
188. example of Wave Mechanics: Right- and Left-Traveling Solutions by bloftin
189. example of Wave Mechanics: Superposition by bloftin
190. examples of constants of the motion by bloftin
191. examples of functor categories by bci1
192. examples of surface integral by bloftin
193. Fixed-Axis Rotation and Particle Kinematics by bloftin
194. four-color theorem by bci1
195. Fourier Cosine-Coefficient Derivation and Projection Exercises by bloftin
196. Fourier Series Roadmap, Motivation, and Learning Path by bloftin
197. Full Numerical GPS Broadcast Ephemeris Solution: From Decoded LNAV Parameters to ECEF Position, Velocity, and Acceleration by bloftin
198. fully faithful functor by bci1
199. functor category by bci1
200. fundamental complexity diagrams by bci1
201. fundamental groupoid functors by bci1
202. fundamental groupoid functors in quantum theories by bci1
203. fundamental quantum groupoid by bci1
204. gene nets: physical and mathematical models by bci1
205. general definition by bci1
206. general dynamic systems by bci1
207. generalized topoi with LMn algebraic logic classifiers by bci1
208. generalized toposes with many-valued logic subobject classifiers by bci1
209. generalized Van Kampen theorems (HD-GVKT) -- higher dimensional by bci1
210. geometrization conjecture and theorem by bci1
211. George Karreman by bci1
212. Grassmann-Hopf algebras and coalgebras\gebras by bci1
213. Grassmann-Hopf algebroid categories and Grassmann categories by bci1
214. GRE Physics Companion: Constant Acceleration Motion by bloftin
215. GRE Physics Companion: Fourier Analysis, Wave Packets, and Dispersion by bloftin
216. GRE Physics Companion: Rotational Kinematics of Rigid Bodies by bloftin
217. GRE Physics Companion: Scalars and Vectors in Mechanics by bloftin
218. GRE Physics Companion: Variable Acceleration Motion by bloftin
219. GRE Physics Companion: Velocity by bloftin
220. GRE Physics Companion: Work by Variable Forces by bloftin
221. Grothendieck category by bci1
222. Grothendieck supervised doctoral theses by bci1
223. groupoid by bci1
224. groupoid and group representations by bci1
225. groupoid categories by bci1
226. groupoid homomorphism by bci1
227. groupoids topic by bci1
228. Hamiltonian algebroid by bci1
229. Higgs boson simulation by bci1
230. higher dimensional algebra by bci1
231. Home Electrodynamics Laboratory - Roadmap, Bench Setup, Measurement Practice by bloftin
232. homotopy category by bci1
233. homotopy double groupoid of a Hausdorff space by bci1
234. homotopy groupoids and crossed complexes by bci1
235. homotopy groupoids and crossed complexes in higher dimensional algebra (HDA) by bci1
236. Hopf algebras and quantum groups by bci1
237. hypergraph by bci1
238. index of algebraic geometry by bci1
239. index of algebraic topology by bci1
240. index of categories by bci1
241. index of category theory by bci1
242. inflexion point by pahio
243. Inner Products of Functions by bloftin
244. invertible matrix by bloftin
245. isomorphism by bci1
246. Jordan-Banach and Jordan-Lie algebras by bci1
247. Laplace Transform: Why Transform a Differential Equation? by bloftin
248. Laplacian in Spherical Coordinates by bloftin
249. lectromagnetic Waves: Ampere-Maxwell Law and Displacement Current - Exercises and Complete Worked Solutions by bloftin
250. lepton by vip6
251. Lie algebras by bci1
252. Lie algebroids by bci1
253. Linear Momentum and Impulse by bloftin
254. locally compact groupoid by bci1
255. luminosity by bloftin
256. mathematical biology and theoretical biophysics by bci1
257. mathematical connective symbols by bloftin
258. matrix by bloftin
259. metatheories, analytics and formal logics- by bci1
260. molecular set category by bci1
261. Morita (uniqueness) theorem by bci1
262. Morita equivalence by bci1
263. Nicolae Popescu (mathematician) by bci1
264. non-Abelian algebraic topology by bci1
265. non-Abelian Quantum Algebraic Topology by bci1
266. non-Abelian theory by bci1
267. non-commutative structure by bci1
268. non-Newtonian calculi by vip6
269. numerical quaternion propagation and IMU attitude state integration by bloftin
270. Observational Foundations for Binary Stars by bloftin
271. Omega -spectrum by bci1
272. Orbital Plane to Inertial Coordinates: The PQW-to-ECI Transformation by bloftin
273. Ordinary differential equations definitions by bloftin
274. Organismic supercategories and super-complex system biodynamics by bci1
275. Orthogonality of Sines and Cosines by bloftin
276. Parallel-Axis and Perpendicular-Axis Theorems by bloftin
277. Periodic Functions, Harmonics, and Why Fourier Series Exist by bloftin
278. Periodic-Function and Harmonic-Building Exercises by bloftin
279. PlanetPhysics.org style guideline summary by bci1
280. Poisson ring by rspuzio
281. Polar Coordinate Particle Kinematics by bloftin
282. Position and Displacement in Mechanics by bloftin
283. Power by bloftin
284. preadditive functor by bci1
285. Preliminary definitions and general notions by bloftin
286. principles of NIR spectroscopy by vip6
287. projectile motion by bloftin
288. projective object by bci1
289. proper generator in a Grothendieck category by bci1
290. quantized Riemann spaces by bci1
291. quantum algebraic topology: topics by bci1
292. quantum automata by bci1
293. quantum fundamental groupoid by bci1
294. quantum gravity programs by bci1
295. quantum groupoids and C*-algebras by bci1
296. quantum groups and dual Hopf algebras by bci1
297. quantum LM-algebraic logic by bci1
298. quantum logic by bci1
299. quantum operator algebras by bci1
300. Quantum operator algebras in QFT by bci1
301. quantum operator concept by bloftin
302. quantum symmetries from group and groupoid representations by bci1
303. Quantum topological order and extended quantum symmetries by bci1
304. quaternion conjugate by bloftin
305. quaternion definition and basic algebra by bloftin
306. quaternion exercises for physics and engineering by bloftin
307. quaternion inverse by bloftin
308. quaternion norm by bloftin
309. quaternion product by bloftin
310. quaternion series overview and article guide by bloftin
311. quaternions and direction cosine matrices by bloftin
312. Quaternions for Physics and Engineering: Orientation, Notation, and Conventions by bloftin
313. R-algebroid by bci1
314. R-category by bci1
315. R-module by bci1
316. radio telescopes by bloftin
317. Recursive Function by rspuzio
318. relative attitude and error quaternions by bloftin
319. Riemann surface by rspuzio
320. Robert Rosen by bci1
321. Ronald Brown by bci1
322. rotating vectors with quaternions by bloftin
323. Scalars and Vectors in Mechanics by bloftin
324. section functor by bci1
325. similarity and analogous systems: dynamic adjointness and topological equivalence by bci1
326. Similarity Transformation of the Inertia Tensor by bloftin
327. Sine-Cosine Orthogonality and Harmonic-Integral Exercises by bloftin
328. small category by bci1
329. space telescopes by bloftin
330. spectroscopy in astronomy by bloftin
331. spin networks and spin foams by bci1
332. Statement of the Object of the Work by bloftin
333. Strapdown Inertial Navigation Examples: Comparing DCM, Euler-Angle, Quaternion, and Rotation-Vector Propagation by bloftin
334. Strapdown Inertial Navigation Examples: Gyroscope Angular-Rate Sensing and Attitude Propagation by bloftin
335. Strapdown Inertial Navigation Examples: Rotating-Frame Derivatives, Coriolis, and Centrifugal Acceleration by bloftin
336. Strapdown Inertial Navigation Examples: Vectors, Frames, and Direction Cosine Matrices by bloftin
337. Strapdown Inertial Navigation: Attitude Kinematics from Gyroscope Measurements by bloftin
338. Strapdown Inertial Navigation: Earth Rotation and Navigation Frames by bloftin
339. Strapdown Inertial Navigation: Time Derivatives in Rotating Frames by bloftin
340. Strapdown Inertial Navigation: Vectors, Coordinate Frames, and Direction Cosine Matrices by bloftin
341. Strapdown Inertial Navigation: What a Gyroscope Actually Measures by bloftin
342. superalgebroids in higher dimensions by bci1
343. supercategory by bci1
344. supercategory theories by bci1
345. supercomputers by bci1
346. superdiagrams as heterofunctors by bci1
347. symmetry and groupoid representations in functional biology by bci1
348. Table of categories and functor properties by bci1
349. test table formatting by bloftin
350. the future of large telescopes by bloftin
351. The System of Co-ordinate by bloftin
352. theorem on CW--complex approximation of quantum state spaces in QAT by bci1
353. theoretical biophysics and mathematical biology by bci1
354. theoretical programs in quantum gravity by bci1
355. theory of organismic sets and mathematical relations by bci1
356. thin equivalence relation by bci1
357. Time Along the Orbit: Eccentric Anomaly, Mean Anomaly, and Kepler's Equation by bloftin
358. topic entry on the algebraic foundations of mathematics by bci1
359. topic on applied mathematical physics and physical mathematics by bci1
360. topic on axioms by bci1
361. topic on computer programming by bci1
362. topic on mathematical physics and physical mathematics applications by bci1
363. topics in algebraic topology by bci1
364. topos axioms by bci1
365. Torque and Fixed-Axis Rotational Dynamics by bloftin
366. ultracomplex systems and categorical dynamics by bci1
367. universe of discourse by Jon Awbrey
368. Variable Acceleration Motion by bloftin
369. variable category by bci1
370. variable groupoid by bci1
371. variable network topology by bci1
372. variable topology by bci1
373. Variational Principles in the Mathematical Theory of Plasticity by bloftin
374. vector algebra by bloftin
375. Vector Differentiation by bloftin
376. Vector Identities by bloftin
377. vector space by bloftin
378. Vectors and Their Composition by bloftin
379. Vectors, Fields, and Coordinate Geometry by bloftin
380. visible light detectors and instruments by bloftin
381. Wave Mechanics Examples: Oscillation in Space by bloftin
382. Wave Mechanics Examples: Partial Derivatives for Waves by bloftin
383. Wave Mechanics Examples: Resonance by bloftin
384. Wave Mechanics Examples: The Sinusoidal Traveling Wave by bloftin
385. Wave Mechanics Examples: Translating Disturbances by bloftin
386. Wave Mechanics Examples: Wave Speed by bloftin
387. Wave Mechanics Examples: Wavenumber by bloftin
388. Wave Mechanics Series Overview and Article Guide by bloftin
389. Wave Mechanics: Deriving the 1D String Wave Equation from Newton's Second Law by bloftin
390. Wave Mechanics: Harmonic Motion, Euler's Formula, and Complex Exponentials by bloftin
391. Wave Mechanics: Initial Conditions and the d'Alembert Solution by bloftin
392. Wave Mechanics: Oscillation in Space by bloftin
393. Wave Mechanics: Partial Derivatives for Waves by bloftin
394. Wave Mechanics: Power Carried by a 1D Wave by bloftin
395. Wave Mechanics: Right- and Left-Traveling Solutions by bloftin
396. Wave Mechanics: Sinusoidal Oscillation by bloftin
397. weak Hopf algebra by bci1
398. weak Hopf C*-algebra by bci1
399. William F. Lawvere by bci1
400. Work by Variable Forces by bloftin
401. Yoneda lemma by bci1
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