PlanetMath (more info)
 Math for the people, by the people. Sponsor PlanetMath
Encyclopedia | Requests | Forums | Docs | Wiki | Random | RSS  
Login
create new user
name:
pass:
forget your password?
Main Menu
References to 'finite'
1. $C^n$ norm by rspuzio
2. $C_3$-category by bci1
3. $e^r$ is irrational for $r\in\mathbb{Q}\setminus\{0\}$ by Cosmin
4. $n$-chain by mps
5. $T_f$ is a distribution of zeroth order by Koro
6. $Y$ is compact if and only if every open cover of $Y$ has a finite subcover by mathcam
7. $\Delta_1$ bootstrapping by Henry
8. $\mathcal{C}^r$ topologies by Koro
9. $\pi$-groups and $\pi'$-groups by Algeboy
10. ${\mathbb{Z}}_n$ by Wkbj79
11. 2-category by bci1
12. a compact metric space is second countable by azdbacks4234
13. a finite integral domain is a field by yark
14. A finitely generated group has only finitely many subgroups of a given index by avf
15. a group embeds into its profinite completion if and only if it is residually finite by yark
16. a nontrivial normal subgroup of a finite $p$-group $G$ and the center of $G$ have nontrivial intersection by gumau
17. a space is compact iff any family of closed sets having fip has non-empty intersection by CWoo
18. a surjection between finite sets of the same cardinality is bijective by ratboy
19. abelian group is divisible if and only if it is an injective object by joking
20. abelian groups form an abelian category, proof that by mps
21. abelian groups of order $120$ by alozano
22. abelian number field by alozano
23. absolute convergence implies uniform convergence by rspuzio
24. absolute convergence of double series by pahio
25. absolute convergence of integral and boundedness of derivative by pahio
26. absolutely continuous function by matte
27. absorbing set by CWoo
28. abstract family of languages by CWoo
29. adding and removing parentheses in series by pahio
30. addition by PrimeFan
31. additive category by CWoo
32. additively indecomposable by mathcam
33. affine combination by CWoo
34. Alexandroff space by joking
35. algebra formed from a category by rspuzio
36. algebraic categories without free objects by Algeboy
37. algebraic closure of a finite field by Algeboy
38. algebraic connectivity of a graph by Mathprof
39. algebraic geometry by archibal
40. Algebraic K-theory by mhale
41. algebraic manifold by jirka
42. algebraic numbers are countable by pahio
43. algebraic representation of relation composition by Jon Awbrey
44. algebraic sum and product by pahio
45. algebraic system by CWoo
46. algorithm by jk81
47. all bases for a vector space have the same cardinality by CWoo
48. all solution of the Lorenz equation enter an ellipsoid by Daume
49. alphabet by mathcam
50. alternating factorial by PrimeFan
51. alternative characterizations of Noetherian topological spaces, proof of by yark
52. alternative definition of an Abelian category by bci1
53. alternative definition of cardinality by CWoo
54. alternative definitions of countable by CWoo
55. alternative proof that a finite integral domain is a field by Wkbj79
56. alternative treatment of concatenation by rspuzio
57. an injection between two finite sets of the same cardinality is bijective by alozano
58. an outline of Hilbert's programme by gribskoff
59. another proof of rank-nullity theorem by CWoo
60. anti-cone by stevecheng
61. antisymmetric by aoh45
62. arbitrary join by CWoo
63. Archimedes' calculus by milogardner
64. area of a polygonal region by Mathprof
65. arithmetic-geometric series by perucho
66. Armstrong number by CompositeFan
67. arrows relation by Henry
68. Artin map by djao
69. assignment problem by PrimeFan
70. atomic formula by CWoo
71. automatic group by mathcam
72. automatic presentation by mathcam
73. automaton over a monoid by CWoo
74. average value of function by pahio
75. axiom by rmilson
76. axiom of choice by GrafZahl
77. axiom of dependent choices by CWoo
78. axiom of infinity by Sabean
79. axiom of power set by mathcam
80. axiomatizable class by CWoo
81. B-spline by CWoo
82. Bam\`on's theorem by Daume
83. Banach limit by stevecheng
84. Banach spaces of infinite dimension do not have a countable Hamel basis by yark
85. Banach-Tarski paradox by paolini
86. barycentric coordinates by CWoo
87. Basel problem by PrimeFan
88. Basel problem derivation by curious
89. basic tensor by rmilson
90. behavior by Wkbj79
91. behavior exists uniquely (finite case) by Wkbj79
92. binomial coefficient by matte
93. binomial formula for negative integer powers by rspuzio
94. Birch and Swinnerton-Dyer conjecture by alozano
95. Birkhoff prime ideal theorem by CWoo
96. blocks of permutation groups by rm50
97. Bolyai-Gerwien theorem by CWoo
98. Boolean operations on automata by CWoo
99. Boolean subalgebra by CWoo
100. Boolean-valued function by Jon Awbrey
101. Borel functional calculus by asteroid
102. bounded lattice by CWoo
103. bounded linear functionals on $L^\infty(\mu)$ by gel
104. bounds on $\pi(n)$ by rm50
105. box topology by yark
106. Burnside $p$-$q$ theorem by yark
107. Burnside basis theorem by alozano
108. Burnside ring by joking
109. BV function by paolini
110. calculation of Riemann--Stieltjes integral by pahio
111. calculus of subgroup orders by Algeboy
112. calculus of variations by rspuzio
113. cancellation ideal by pahio
114. cardinality of algebraic closure by rspuzio
115. cardinality of disjoint union of finite sets by mathcam
116. cardinality of monomials by rspuzio
117. cardinality of the continuum by yark
118. Cartesian closed category by CWoo
119. categorical direct product by djao
120. category isomorphism by CWoo
121. category of $(M,R)$--systems by bci1
122. category of molecular sets by bci1
123. category theory by archibal
124. category with arbitrary products and pullbacks is complete by CWoo
125. Cauchy integral formula by djao
126. Cauchy integral theorem by rmilson
127. Cayley's theorem by vitriol
128. center of a group by yark
129. central product of groups by Algeboy
130. centre of mass by stevecheng
131. chain by CWoo
132. chain finite by lars_h
133. change of basis by CWoo
134. character by djao
135. characteristically simple group by mathcam
136. characterization of Alexandroff groups by joking
137. characterization of maximal ideals of the algebra of continuous functions on a compact set by rspuzio
138. characterization of prime ideals by GrafZahl
139. Chernikov group by yark
140. choice function by yark
141. Chomsky hierarchy by CWoo
142. Chow's theorem by jirka
143. chromatic number of a metric space by Mathprof
144. chromatic polynomial by bbukh
145. class equation theorem by gumau
146. class number divisibility in $p$-extensions by alozano
147. clopen subset by mathcam
148. closed monoidal category by CWoo
149. closed set in a compact space is compact by mathcam
150. closed subsets of a compact set are compact by Wkbj79
151. cofinality by yark
152. cofinite and cocountable topologies by yark
153. coherent analytic sheaf by jirka
154. colorings of plane graphs by marijke
155. commensurable subgroups by asteroid
156. commutativity theorems on rings by CWoo
157. commuting matrices by Algeboy
158. compact by djao
159. compact element by CWoo
160. compact quantum groupoids related to C*-algebras by bci1
161. compact subspace of a Hausdorff space is closed by ehremo
162. compactness by Aatu
163. compactness and accumulation points of nets by azdbacks4234
164. compactness is preserved under a continuous map by yark
165. complement by CWoo
166. complete by djao
167. complete category by CWoo
168. complete lattice homomorphism by porton
169. complete semilattice by CWoo
170. complex tangent and cotangent by pahio
171. composition algebras over finite fields by Algeboy
172. computable sequence by rspuzio
173. concatenation by CWoo
174. concepts in linear algebra by matte
175. conditionally convergent real series by pahio
176. conditions for a collection of subsets to be a basis for some topology by waj
177. congruence in algebraic number field by pahio
178. congruence lattice by CWoo
179. connected poset by CWoo
180. consequence operator by rspuzio
181. constructing automata from regular languages by CWoo
182. constructing well ordered sets by CWoo
183. construction of well-formed formulas by CWoo
184. context-free language by CWoo
185. context-sensitive language by CWoo
186. continued fraction by PrimeFan
187. continuity equation by perucho
188. continuous poset by CWoo
189. contour integral by Mathprof
190. controllability by GeraW
191. convergence/divergence for an infinite product by aoh45
192. convex set by drini
193. convolution by PrimeFan
194. corollaries of basic theorem on ordered groups by rspuzio
195. corollary of Euler-Fermat theorem by kamala
196. countable by vampyr
197. countable algebraic sets by rspuzio
198. countably compact by Evandar
199. counterexamples for products and coproduct by Algeboy
200. counting theorem by mathcam
201. cover by mps
202. covering system by PrimeFan
203. Coxeter group by Simone
204. creating an infinite model by CWoo
205. criteria for a poset to be a complete lattice by CWoo
206. criteria for cyclic rings to be isomorphic by Wkbj79
207. criterion for almost-sure convergence by stevecheng
208. criterion for consistency of sets of formulas by jihemme
209. criterion for cyclic rings to be principal ideal rings by Wkbj79
210. criterion of N\'eron-Ogg-Shafarevich by alozano
211. crosscap slide by juanman
212. cryptography and number theory by archibal
213. current by paolini
214. cusp form by olivierfouquetx
215. CW complex by antonio
216. cycle by yark
217. cycle notation by rmilson
218. cyclic permutation by CWoo
219. cyclic ring by Wkbj79
220. cyclic rings that are isomorphic to $k{\mathbb{Z}}_{kn}$ by Wkbj79
221. cyclically reduced by CWoo
222. de Morgan's laws by mathcam
223. de Morgan's laws for sets (proof) by mathcam
224. decomposition of a module using orthogonal idempotents by alozano
225. Dedekind-finite by CWoo
226. Dedekind-Hasse valuation by Henry
227. defect theorem by Ziosilvio
228. definite integral by mathwizard
229. definite language by CWoo
230. Dehn's theorem by paolini
231. delta system lemma by Henry
232. dense ring of linear transformations by CWoo
233. dense set by yark
234. dependence relation by CWoo
235. derivation of Euler-Lagrange differential equation (elementary) by rspuzio
236. derivation tree of a derivation by CWoo
237. derived subgroup by yark
238. determination of abundant numbers with specified prime factors by rspuzio
239. deterministic finite automaton by CWoo
240. deterministic pushdown automaton by CWoo
241. deterministic Turing machine by Henry
242. diameter by drini
243. difference set by CWoo
244. differential operator by rmilson
245. differential propositional calculus by Jon Awbrey
246. digital number system by akrowne
247. dihedral group by rmilson
248. dihedral group properties by Algeboy
249. Dilworth's theorem by CWoo
250. dimension (vector space) by rmilson
251. dimension of a poset by CWoo
252. Dini derivative by lha
253. direct limit of algebraic systems by CWoo
254. direct products of groups by yark
255. direct sum by antizeus
256. direct sum of Hilbert spaces by asteroid
257. directed graph by rm50
258. Dirichlet conditions by mathwizard
259. Dirichlet's unit theorem by yark
260. discontinuous action by Dr_Absentius
261. discrete time Fourier transform in relation with continuous time Fourier transform by fernsanz
262. distributions of a stochastic process by CWoo
263. division algebra by Algeboy
264. divisor theory by pahio
265. divisor theory and exponent valuations by pahio
266. double series by PrimeFan
267. Drazin inverse by kronos
268. dual isogeny by mathcam
269. dual space by Daume
270. Dulac's theorem by Daume
271. dyad product by pahio
272. Dynkin diagram by bwebste
273. economic context of Egyptian fractions by milogardner
274. Egyptian fraction by milogardner
275. eigenvalue by Koro
276. Einstein field equations by rspuzio
277. elementary abelian group by yark
278. elementary function by pahio
279. elementary matrix by CWoo
280. elementary proof of orders by Algeboy
281. elliptic curve cryptography by PrimeFan
282. Engel's theorem by rmilson
283. enumerating groups by Algeboy
284. enumerative combinatorics by mps
285. equicontinuous by asteroid
286. equivalence of form class group and class group by rm50
287. equivalent regular expressions by CWoo
288. estimation of index of intersection subgroup by pahio
289. ETAS interpretation by bci1
290. Euclid's proof of the infinitude of primes by mathwizard
291. Euler characteristic by Mathprof
292. Eulerian poset by mps
293. every $\sigma$-compact set is Lindel\"of by joen235
294. every finite dimensional subspace of a normed space is closed by Mathprof
295. every normed space with Schauder basis is separable by asteroid
296. every orthonormal set is linearly independent by mathcam
297. every permutation has a cycle decomposition by rspuzio
298. every symplectic manifold has even dimension by cvalente
299. every vector space has a basis by GrafZahl
300. example of a universal structure by uzeromay
301. example of Boolean algebras by CWoo
302. example of converging increasing sequence by pahio
303. example of free module with bases of diffrent cardinality by joking
304. example of harmonic functions on graphs by mathcam
305. example of infinite hyperreal number by asteroid
306. example of infinite simple group by rspuzio
307. example of infinitesimal hyperreal number by asteroid
308. example of Lipschitz condition by me_and
309. example of monadic algebra by CWoo
310. example of non-complete lattice homomorphism by Algeboy
311. example of non-separable Hilbert space by rspuzio
312. example of strongly minimal by CWoo
313. example of universe by rspuzio
314. example of universe of finite sets by rspuzio
315. examples of compact spaces by yark
316. examples of contrapositive by alozano
317. examples of countable sets by CWoo
318. examples of finite simple groups by mathcam
319. examples of functor categories by bci1
320. examples of groups by AxelBoldt
321. examples of initial states in the Game of Life by PrimeFan
322. examples of primitive recursive predicates by CWoo
323. examples of pullbacks by CWoo
324. examples of ring of sets by rspuzio
325. exchangeable random variables by CWoo
326. existence of maximal subgroups by Algeboy
327. existence of the conditional expectation by gel
328. expansive by Koro
329. exponent by Wkbj79
330. exponential object by CWoo
331. expressible in closed form by pahio
332. extended norm by rspuzio
333. f-vector by mps
334. Faltings' theorem by alozano
335. FC-group by yark
336. Feit-Thompson theorem by mathcam
337. fence by CWoo
338. Feynman path integral by PrimeFan
339. field is discrete and cocompact in its ad\`{e}les by rm50
340. filter by Koro
341. filter basis by rspuzio
342. finite and countable discrete spaces by matte
343. finite changes in convergent series by pahio
344. finite character by Koro
345. finite complement topology by mathcam
346. finite fields of sets by rspuzio
347. finite intersection property by azdbacks4234
348. finite limit implying uniform continuity by pahio
349. finite morphism by rmilson
350. finite nilpotent groups by Algeboy
351. finite plane by marijke
352. finite projective plane by Mathprof
353. finite ring has no proper overrings by pahio
354. finite subgroup by pahio
355. finite variation process by gel
356. finitely generated module by Thomas Heye
357. finiteness of $C_\cup$ and $C_{\cap}$ by rspuzio
358. first order language by CWoo
359. first-order theory by CWoo
360. Fitting's lemma by CWoo
361. forcing by ratboy
362. formal grammar by CWoo
363. formal power series by AxelBoldt
364. formal power series as inverse limits by rspuzio
365. foundations of mathematics: overview by gribskoff
366. Fourier series in complex form and Fourier integral by pahio
367. Fourier transform by mathwizard
368. fractional ideal by djao
369. frame by rmilson
370. Frattini argument by bwebste
371. Frattini subgroup of a finite group is nilpotent, the by yark
372. Frattini subset by Algeboy
373. free Boolean algebra by CWoo
374. free vector space over a set by mathcam
375. Freiman's theorem by bbukh
376. freshman's dream by Algeboy
377. Fresnel integrals by pahio
378. Friedrichs' theorem by Algeboy
379. from Hilbert's tenth problem to G\"{o}del's trichotomy by gribskoff
380. FS iterated forcing preserves chain condition by Henry
381. full families of Hopfian (co-Hopfian) groups by joking
382. function of not bounded variation by pahio
383. functional analysis by PrimeFan
384. fundamental theorem of calculus for Riemann integration by asteroid
385. fundamental theorem of projective geometry by Algeboy
386. fundamental units by pahio
387. gale by skubeedooo
388. Galois representation by alozano
389. generalization of Young inequality by Andrea Ambrosio
390. generalized binomial coefficients by pahio
391. generalized Boolean algebra by CWoo
392. generalized Farkas lemma by stevecheng
393. generalized Fourier transform by bci1
394. generalized matrix ring by mclase
395. generalized quaternion group by Algeboy
396. generalized regular expression by CWoo
397. generalized sequential machine by CWoo
398. generated subring by polarbear
399. generator by Wkbj79
400. generically finite morphism by neapol1s
401. geometric lattice by CWoo
402. geometrically defined double groupoid with connection by bci1
403. geometry as the study of invariants under certain transformations by rspuzio
404. graded poset by mps
405. graded ring by aplant
406. graph by mathcam
407. graph minor theorem by AxelBoldt
408. graph product of groups by mps
409. graph theory by karteef
410. greatest common divisor by CWoo
411. Grothendieck category by bci1
412. grounded relation by Jon Awbrey
413. group socle by Algeboy
414. Gr\"obner basis by mathcam
415. gr\"ossencharacter by alozano
416. half-factorial ring by pahio
417. Hall's marriage theorem by mathcam
418. halting problem by rspuzio
419. Hamiltonian operator by bci1
420. handshake lemma by Ziosilvio
421. Harnack's principle by Mathprof
422. Hartley function by kshum
423. Hasse diagram by bbukh
424. height function by alozano
425. height of an element in a poset by CWoo
426. Herbrand's theorem (first order logic) by iwnbap
427. Hermite's theorem by alozano
428. Hesse configuration by debosberg
429. Higgs prime by PrimeFan
430. Hilbert Theorem 90 by djao
431. Hilbert's $\varepsilon$-operator by gribskoff
432. Hilbert's 16th problem for quadratic vector fields by Daume
433. Hilbert's sixteenth problem by Daume
434. Hilbert-Weyl theorem by mathcam
435. Hodge star operator by rspuzio
436. hollow matrix rings by Algeboy
437. homogeneous by mathcam
438. homogeneous polynomial by CWoo
439. homology by mathcam
440. homotopy category by bci1
441. Horner's rule by akrowne
442. hyperbolic group by Wkbj79
443. hypergraph by CWoo
444. hyperk\"ahler manifold by tiphareth
445. hyperplane arrangement by mps
446. hyperreal by djao
447. H\"artig's quantifier by Henry
448. IBN by CWoo
449. ideal class group is finite by rm50
450. ideal completion of a poset by CWoo
451. ideal generated by a subset of a ring by mathcam
452. ideal norm by pahio
453. ideal of elements with finite order by pahio
454. idempotency of infinite cardinals by CWoo
455. if $A$ is infinite and $B$ is a finite subset of $A\,\!,$ then $A\setminus B$ is infinite by mathcam
456. IF-logic by mathcam
457. Ihara's theorem by bwebste
458. implications of having divisor theory by pahio
459. importance of primitive recursion by CWoo
460. improper integral by paolini
461. incidence geometry by CWoo
462. incidence matrix with respect to an orientation by Mathprof
463. incidence structure by CWoo
464. independent by Koro
465. independent identically distributed by CWoo
466. independent sigma algebras by CWoo
467. index of set theory by rspuzio
468. index of the group of cyclotomic units in the full unit group by alozano
469. induction by Daume
470. inductively ordered by rspuzio
471. infinite by yark
472. infinite Galois theory by djao
473. infinite product of differences $1\!-\!a_i$ by pahio
474. initial topology by kompik
475. integral binary quadratic forms by rm50
476. integral test by drini
477. intercession by WM
478. interpretation of intuitionistic logic by means of functionals by gribskoff
479. intersection semilattice of a subspace arrangement by CWoo
480. intrinsically knotted by YourInnerNurmo
481. intrinsically linked by YourInnerNurmo
482. intuitionistic logic by gribskoff
483. inverse Galois problem by mathcam
484. invertibility of regularly generated ideal by pahio
485. invertible ideal is finitely generated by pahio
486. irredundant by CWoo
487. isolated subgroup by pahio
488. iterated forcing by Henry
489. joint normal distribution by gel
490. Jones Polynomial by Stephaninos
491. Jordan-Banach and Jordan-Lie algebras by bci1
492. K-distance set by rspuzio
493. Kempe chain by marijke
494. kernel is an inverse limit by mathcam
495. kernel of a linear mapping by yark
496. kernel of a morphism by CWoo
497. KKM lemma by uriw
498. Kleene's theorem by CWoo
499. Kolmogorov's strong law of large numbers by Koro
500. Korteweg - de Vries equation by rspuzio
501. Kronecker's lemma by gel
502. Kronecker-Weber theorem by alozano
503. Kuratowski's theorem by bbukh
504. K\"onig's lemma by mps
505. K\"onig-Egervary theorem by PrimeFan
506. ladder connected by mathcam
507. Landsberg-Schaar relation by mathcam
508. language by mps
509. Laplacian matrix of a graph by Mathprof
510. Lasker-Noether theorem by CWoo
511. lattice ideal by CWoo
512. lattice interval by CWoo
513. lattice of ideals by CWoo
514. lattice of subgroups by CWoo
515. lattice polynomial by CWoo
516. law of trichotomy by yark
517. Leibniz notation by mathcam
518. lemma on projection of countable sets by rspuzio
519. length of a module by CWoo
520. limit along a filter by kompik
521. limit comparison test by alozano
522. limit of a functor by CWoo
523. limit of nondecreasing sequence by pahio
524. limit of real number sequence by pahio
525. limit of sequence of sets by CWoo
526. Lindenmayer system by CWoo
527. line in plane by matte
528. linear interpolation by CWoo
529. linear recurrence by Mathprof
530. linearly independent by rmilson
531. Lipschitz condition and differentiability by Mathprof
532. list of all imaginary quadratic extensions whose ring of integers is a PID by rm50
533. list vector by rmilson
534. localization for distributions by drini
535. locally cyclic group by yark
536. locally finite graph by yark
537. locally finite group by CWoo
538. locally finite poset by mps
539. logarithmic spiral by pahio
540. logical axiom by CWoo
541. logical connective by mps
542. logical graph : introduction by Jon Awbrey
543. logicism by gribskoff
544. Lorenz equation by Daume
545. lowest upper bound by djao
546. L\'evy process by PrimeFan
547. many-sorted language by CWoo
548. Markov algorithm by CWoo
549. Martin's axiom and the continuum hypothesis by Henry
550. martingale convergence theorem by gel
551. martingale proof of Kolmogorov's strong law for square integrable variables by gel
552. mathematical foundations of quantum field theories by bci1
553. mathematical platonism by gribskoff
554. mathematical programs in quantum gravity by bci1
555. MatheRealism by WM
556. matrix by bbukh
557. matrix characterizations of automata by CWoo
558. matrix ring by CWoo
559. matroid by mps
560. matroid independence axioms by sgraves
561. maximal condition by mclase
562. maximal ideal is prime (general case) by mclase
563. maximum flow/minimum cut theorem by bbukh
564. McAlister covering theorem by mathcam
565. Mealy machine by CWoo
566. mean by matte
567. meet continuous by CWoo
568. minimal and maximal number by pahio
569. minimal condition by mclase
570. minimal prime by PrimeFan
571. models constructed from constants by ratboy
572. modular form by olivierfouquetx
573. modular lattice by yark
574. module of finite rank by antizeus
575. module-finite extensions are integral by rm50
576. modulus by djao
577. molecular set and molecular class variables by bci1
578. Monte Carlo simulation by stevecheng
579. motion of continuum by perucho
580. motivic cohomology by PrimeFan
581. motivic cohomology by CWoo
582. Munn tree by Mazzu
583. Myhill-Nerode theorem by Ziosilvio
584. Myhill-Nerode theorem for semigroups by Ziosilvio
585. M\"obius inversion by mathcam
586. n-category by bci1
587. neutrosophic logic by para0doxa
588. neutrosophic probability by para0doxa
589. neutrosophic set by para0doxa
590. Nevanlinna theory by Simone
591. new vector spaces from old ones by matte
592. Newton's method works for convex real functions by stevecheng
593. Noetherian topological space by mathcam
594. non-commuting graph by GrafZahl
595. non-deterministic finite automaton by mps
596. non-deterministic pushdown automaton by Henry
597. non-isomorphic groups of given order by pahio
598. nonabelian group by drini
599. normal closure by yark
600. normal form game by Henry
601. normal number by AxelBoldt
602. normal random variable by Koro
603. normal subgroup lattice is modular by CWoo
604. normal subgroups form sublattice of a subgroup lattice by CWoo
605. normality of subgroups of prime index by azdbacks4234
606. number of ultrafilters by yark
607. numerology by CompositeFan
608. o-minimality by Timmy
609. observability by GeraW
610. one-line notation for permutations by mps
611. one-sided continuity by series by pahio
612. open question by rspuzio
613. open set by mathwizard
614. operation by rspuzio
615. operator norm by asteroid
616. operator norm of multiplication operator on $L^2$ by rspuzio
617. orbits of a normal subgroup are equal in size when the full group acts transitively by rm50
618. order (of a group) by mathcam
619. order (of a ring) by Wkbj79
620. Order Conjecture for non-commuting graph of a group by abdollahi
621. order ideal by CWoo
622. order of a profinite group by mathcam
623. order of an elliptic function by rspuzio
624. order of elements in finite groups by rm50
625. order of vanishing by pahio
626. ordered space by CWoo
627. ordered tree by CWoo
628. ordinal arithmetic by Henry
629. ordinal space by CWoo
630. organismic supercategories and super-complex systems biodynamics by bci1
631. orthocomplemented lattice by CWoo
632. orthogonal idempotents of the group ring by mathcam
633. orthogonal polynomials by akrowne
634. orthogonality relations by mhale
635. outer multiplication by rmilson
636. p-primary component by alozano
637. P-space by CWoo
638. paradox of the binary tree by WM
639. partial algebraic system by CWoo
640. partition of unity by mhale
641. Penrose's first G\"odelian argument by dankomed
642. perfect bilinear form by matsuura
643. periodic continued fractions represent quadratic irrationals by rm50
644. periodic functions by pahio
645. periodic group by yark
646. permutation by alozano
647. permutation notation by Wkbj79
648. permutation representation by drini
649. perspectivity by CWoo
650. Petersen theorem by scineram
651. pi by mathcam
652. pi-system by drummond
653. pictures of Dynkin diagrams by Dr_Absentius
654. piecewise by CWoo
655. piecewise smooth by cvalente
656. places of holomorphic function by pahio
657. Poincar\'e formula by CWoo
658. point and a compact set in a Hausdorff space have disjoint open neighborhoods. by drini
659. pointed set by CWoo
660. Pollard's $\rho$ by yark
661. Pollard's $\rho$ algorithm by PrimeFan
662. polycyclic group by yark
663. polygon by Mathprof
664. polyhedron by Mathprof
665. polynomial identity algebra by CWoo
666. polyrectangle by paolini
667. Pontryagin duality by asteroid
668. poset by mps
669. Post system by CWoo
670. power set by matte
671. power-associative algebra by CWoo
672. precompact set by matte
673. presentation of a group by rmilson
674. preservation and reflection by CWoo
675. primary decomposition by mathcam
676. prime theorem of a convergent sequence, a by georgiosl
677. primefree sequence by CompositeFan
678. principle of inclusion-exclusion by Mathprof
679. principle of inclusion-exclusion, proof of by mps
680. probabilistic proof by Algeboy
681. product of automata by CWoo
682. product of countable sets by CWoo
683. product of left and right ideal by pahio
684. product of posets by CWoo
685. product topology by CWoo
686. profinite completion by yark
687. projective dimension by CWoo
688. projective geometry by Algeboy
689. projective plane by yark
690. projective special linear group by alozano
691. projectivity by CWoo
692. proof by PrimeFan
693. proof of Abel lemma (by expansion) by perucho
694. proof of alternative characterization of ultrafilter by rspuzio
695. proof of Artin-Rees theorem by mat_cross
696. proof of Ascoli-Arzel\`a theorem by paolini
697. proof of basis of ideal in algebraic number field by lalberti
698. proof of Borel-Cantelli 1 by kshum
699. proof of Cauchy integral formula by rmilson
700. proof of Cayley's theorem by Evandar
701. proof of class equation theorem by gumau
702. proof of classification of separable Hilbert spaces by rspuzio
703. proof of compactness theorem for first order logic by CWoo
704. proof of completeness under ucp convergence by gel
705. proof of composition limit law for uniform convergence by stevecheng
706. proof of convergence condition of infinite product by fernsanz
707. proof of Doob's inequalities by gel
708. proof of equivalence of formulas for exp by stevecheng
709. proof of exhaustion by compact sets for $\mathbb{R}^n$ by cvalente
710. proof of functional monotone class theorem by gel
711. proof of Hausdorff paradox by GrafZahl
712. proof of Heine-Borel theorem by stevecheng
713. proof of Heine-Cantor theorem by drini
714. proof of identity theorem of holomorphic functions by rspuzio
715. proof of identity theorem of power series by rspuzio
716. proof of infinite product of sums $1\!+\!a_i$ result without exponentials by rspuzio
717. proof of infinitude of primes by rspuzio
718. proof of integral test by paolini
719. proof of Krein-Milman theorem by georgiosl
720. proof of Lagrange's theorem by akrowne
721. proof of limit comparison test by cvalente
722. proof of Nielsen-Schreier theorem and Schreier index formula by mathcam
723. proof of norm and trace of algebraic number by Wkbj79
724. proof of pigeonhole principle by Wkbj79
725. proof of product of left and right ideal by rm50
726. proof of Ramsey's theorem by mathcam
727. proof of Riemann mapping theorem by rspuzio
728. proof of Riesz representation theorem for separable Hilbert spaces by asteroid
729. proof of Schauder fixed point theorem by asteroid
730. proof of Stone-Weierstrass theorem by rspuzio
731. proof of Tauber's convergence theorem by rmilson
732. proof of the converse of Lagrange's theorem for finite cyclic groups by Wkbj79
733. proof of the existence of transcendental numbers by kidburla2003
734. proof of the weak Nullstellensatz by pbruin
735. proof of transcendental root theorem by alozano
736. proof of Tukey's lemma by Koro
737. proof of Tychonoff's theorem in finite case by stevecheng
738. proof of Urysohn's lemma by scanez
739. proof of Weierstrass approximation theorem in R^n by rspuzio
740. proof that $G$ is cyclic if and only if $\lvert G \rvert=\exp(G)$ by rm50
741. proof that $L^p$ spaces are complete by Simone
742. proof that $\omega$ has the tree property by Henry
743. proof that $\operatorname{Spec}(R)$ is quasi-compact by Wkbj79
744. proof that a compact set in a Hausdorff space is closed by yark
745. proof that a finite abelian group has element with $\lvert g\rvert=\exp(G)$ by rm50
746. proof that a metric space is compact if and only if it is complete and totally bounded by rm50
747. proof that a nontrivial normal subgroup of a finite $p$-group $G$ and the center of $G$ have nontrivial intersection by rm50
748. proof that all cyclic groups of the same order are isomorphic to each other by Wkbj79
749. proof that dimension of complex irreducible representation divides order of group by whm22
750. proof that number of sum-product numbers in any base is finite by rspuzio
751. proof that products of connected spaces are connected by yark
752. proof that the rationals are countable by alozano
753. proof that the set of sum-product numbers in base 10 is finite by PrimeFan
754. properties of hyperreals under field operations by asteroid
755. properties of bases by CWoo
756. properties of nil and nilpotent ideals by mclase
757. properties of orthogonal polynomials by pahio
758. properties of pullback by CWoo
759. property of infinite simple group by Algeboy
760. propositional calculus by Jon Awbrey
761. pure poset by mps
762. pure simplicial complex by mps
763. pure subgroup by CWoo
764. quadratic variation of a semimartingale by gel
765. quantale by CWoo
766. quantifier algebra by CWoo
767. quantum automata and computation by bci1
768. quantum groups by bci1
769. quantum logic by CWoo
770. quantum operator algebras in quantum field theories by bci1
771. quantum super-operators by bci1
772. quantum topos by bci1
773. quasi-compact by Wkbj79
774. quasi-finite morphism by nerdy2
775. quasiconformal mapping by jirka
776. quasicyclic group by yark
777. quaternion algebra by djao
778. quotient category by CWoo
779. ramification index by djao
780. Ramsey's theorem by mathcam
781. random graph (infinite) by bbukh
782. random variable by mathcam
783. random vector by CWoo
784. rank of an elliptic curve by alozano
785. rational rank of a group by polarbear
786. rational set by CWoo
787. rational transducer by CWoo
788. ray class field by alozano
789. realization of a formula by a truth function by CWoo
790. recursive function is URM-computable by CWoo
791. recursive set by CWoo
792. recursively axiomatizable theory by mathcam
793. reduced automaton by CWoo
794. reflexive relation by yark
795. regular elements of finite ring by pahio
796. regular expression by CWoo
797. relation by CWoo
798. relation between pullbacks and other categorical limits by CWoo
799. relation reduction by Jon Awbrey
800. relation theory by Jon Awbrey
801. relationship among different kinds of compactness by rm50
802. Remmert-Stein theorem by jirka
803. restricted direct product by djao
804. restricted direct product of algebraic systems by CWoo
805. Riemann integral by bbukh
806. Riemann zeta function by alozano
807. Riemann-Hurwitz theorem by alozano
808. Riemann-Lebesgue lemma by rmilson
809. Riemann-Stieltjes integral by Mathprof
810. Riesz interpolation property by CWoo
811. ring of $S$-integers by alozano
812. rings of rational numbers by pahio
813. root system by rmilson
814. sampling theorem by akrowne
815. Schinzel's Hypothesis H by jtolliver
816. Schreier index formula by yark
817. Schr\"odinger operator by mhale
818. Schr\"{o}eder Bernstein Theorem: Proof by sauravbhaumik
819. Schur polynomial by mps
820. Selmer group by alozano
821. semi-Thue system by CWoo
822. semialgebraic set by jirka
823. semiautomaton by CWoo
824. semigroup of transformations by mclase
825. semiotic equivalence relation by Jon Awbrey
826. semiprimitive ring by yark
827. semisimple group by Algeboy
828. semisimple ring by CWoo
829. sequence by djao
830. sequences $b^{2n}-1$ and $b^{2n-1}+1$ are divisible by $b+1$ by perucho
831. set by Mathprof
832. set of sampling by swiftset
833. set theory by mathwizard
834. Shafarevich's theorem by alozano
835. Shannon's entropy by kshum
836. sheaf cohomology by mathcam
837. Sidon set by bbukh
838. Siegel's theorem by alozano
839. signature by CWoo
840. signature of a permutation by rspuzio
841. simple tensor by lars_h
842. simplex algorithm by Mathprof
843. simplicial category by mhale
844. simplicial complex by djao
845. Smale's spectral decomposition theorem by Koro
846. Smarandache geometries by jonnathan
847. span by mathwizard
848. spectral permanence theorem by asteroid
849. spectral space by jocaps
850. spectral theorem by asteroid
851. spectral theorem by rmilson
852. Sperner's theorem by bbukh
853. splitting field of a finite set of polynomials by polarbear
854. stability of transfer functions in the Laplace domain by rrogers
855. star-free by CWoo
856. state-output machine by CWoo
857. stochastic matrix by mathwizard
858. stochastic process by gel
859. strong law of large numbers by Koro
860. strongly minimal by Timmy
861. structure of finite hyperreal numbers by asteroid
862. subalgebra of an algebraic system by CWoo
863. subanalytic set by jirka
864. subbasis by evin290
865. subcategory by CWoo
866. subdirect product of rings by CWoo
867. subgoups of locally cyclic groups are locally cyclic by rspuzio
868. subgroups of finite cyclic group by pahio
869. submodule by PrimeFan
870. subsemigroup of a cyclic semigroup by CWoo
871. substitution by CWoo
872. successor cardinal by yark
873. sufficient statistic by CWoo
874. sum of ideals by pahio
875. supercategory by bci1
876. supersolvable group by mclase
877. supersymmetry by bci1
878. support (graded ring) by aplant
879. support of integrable function with respect to counting measure is countable by Wkbj79
880. Sylow p-subgroup by Henry
881. Sylvester's theorem by bbukh
882. symmetric difference on a finite number of sets by CWoo
883. symmetric group by antizeus
884. symmetric monoidal category by CWoo
885. symmetric relation by yark
886. syntactic compactness theorem for first order logic by jihemme
887. system of distinct representatives by vampyr
888. Tarski-Seidenberg theorem by jirka
889. Taylor series via division by pahio
890. Tchebotarev density theorem by djao
891. tensor array by rmilson
892. tensor product (vector spaces) by rmilson
893. tensor transformations by rmilson
894. terminating reduction by CWoo
895. the Cartesian product of a finite number of countable sets is countable by BenB
896. the category of T0 Alexandroff spaces is equivalent to the category of posets by joking
897. the characteristic embedding of the Burnside ring by joking
898. the continuous image of a compact space is compact by cvalente
899. the multiplicative identity of a cyclic ring must be a generator by Wkbj79
900. the only compact metric spaces that admit a positively expansive homeomorphism are discrete spaces by Koro
901. The property that compact sets in a space are closed lies strictly between T1 and T2 by dfeuer
902. the ring of integers of a number field is finitely generated over $\mathbb{Z}$ by alozano
903. theorems of special linear group over a finite field by Daume
904. theory from orders of classical groups by Algeboy
905. theory of formal languages by rspuzio
906. theory of organismic sets and mathematical relations by bci1
907. there are an infinite number of primes $\equiv 1\mod m$ by rm50
908. there is a unique reduced form of discriminant $-4n$ only for $n=1,2,3,4,7$ by rm50
909. thin square by bci1
910. Thurston's geometrization conjecture by PrimeFan
911. Tietze transform by rspuzio
912. tight by mps
913. tight and relatively compact measures by fernsanz
914. topological condition for a set to be uncountable by mps
915. topological entropy by Koro
916. topos by CWoo
917. Torricelli's trumpet by pahio
918. total variation by Koro
919. totally bounded by Mathprof
920. totally bounded subset of a metric space is bounded by georgiosl
921. tournament by yark
922. transcendence degree by mathcam
923. transfinite derived series by yark
924. transposition by drini
925. tree (set theoretic) by Henry
926. tube lemma by asteroid
927. tubular neighborhood by PrimeFan
928. Turing machine by Henry
929. Tutte theorem by scineram
930. Tychonoff's theorem implies AC by CWoo
931. type of a distribution function by CWoo
932. UFD by drini
933. ultrafilter by yark
934. uncertainty theorem by dh2718
935. unconditional convergence by kompik
936. uniform base by mathcam
937. uniform expansivity by Koro
938. uniform space by mps
939. uniformities on a set form a complete lattice by mps
940. uniformly locally finite graph by sjm1979
941. union by rm50
942. unique readability of well-formed formulas by CWoo
943. uniqueness of cardinality by mathcam
944. unitization by rspuzio
945. unity plus nilpotent is unit by Wkbj79
946. universal nets in compact spaces are convergent by asteroid
947. unlimited register machine by CWoo
948. upper nilradical by CWoo
949. variations on axiom of choice by CWoo
950. variety of groups by yark
951. Vaught's test by Evandar
952. vector by rmilson
953. vector bundle by rspuzio
954. vector space over an infinite field is not a finite union of proper subspaces by loner
955. Venn diagram by CWoo
956. vibrating string with variable density by perucho
957. virtually abelian group by yark
958. virtually abelian subgroup theorem by juanman
959. virtually cyclic group by yark
960. von Neumann ordinal by Henry
961. von Neumann-Bernays-G\"odel set theory by Aatu
962. way below by CWoo
963. weak approximation theorem by rm50
964. weak Hopf algebra by bci1
965. weak Hopf C*-algebra by bci1
966. weak-* topology by jirka
967. Wedderburn-Artin theorem by CWoo
968. wedge product of pointed topological spaces by MichaelMcCliment
969. Weierstrass preparation theorem by jirka
970. Weierstrass product inequality by Daume
971. weight enumerator by GrafZahl
972. well-founded induction on formulas by jihemme
973. when all singularities are poles by pahio
974. Why Study Egyptian Fraction Mathematics by milogardner
975. winding number by CWoo
976. word by juanman
977. y-homeomorphism by juanman
978. zero ring by Wkbj79
979. zeros and poles of rational function by pahio
980. Zeta function of a group by avf
981. Zolotarev's lemma by mathcam
982. zonotope by mps
983. \'etale fundamental group by archibal
984. \v{C}unihin's theorem by mathcam