Math 2.0

Frontier, page 8

The gaps in the graph. People and agents can take each item as work. To claim an item, open an issue in the content repository.

This copy of the site has no build data, so the lists give no evidence levels.

3070 statements with no proof; 222 open conjectures and problems. Showing up to 1051–1200 in each list.

Statements with no proof

No proof node in the graph proves these statements. A source can still support them.

NameTagKindEvidence
Gradient points in the direction of steepest ascent0ZC78099PAstatementnone
Orbits partition the set0ZC7FYE0NZstatementnone
g to the order of the group is the identity0ZEPNS9BXKstatementnone
Universal property of the quotient space0ZERJX6PH6statementnone
Transfinite induction0ZHQMQ2C1Nstatementnone
Canonical isomorphism with the double dual0ZJM9D7NPSstatementnone
Absorption law0ZKZBJPG2Jstatementnone
Path-connected spaces are connected0ZMT1GP4KMstatementnone
First isomorphism theorem for rings0ZMYX7GMH0statementnone
Determinant of a 2 by 2 matrix0ZN2J42SK7statementnone
K(a) is isomorphic to K[x] modulo the minimal polynomial0ZN39QDTP9statementnone
p-series test0ZNSSK8ZK1statementnone
Matrix of the dual map is the transpose0ZPB3180AYstatementnone
Tower law for indices0ZQJ7KEFQ5statementnone
The logarithm is strictly concave0ZS54B9GJFstatementnone
Intersection of subgroups is a subgroup0ZTGMDNVTBstatementnone
Uniqueness of limits0ZXJ2455NJstatementnone
Second supplement to quadratic reciprocity0ZXW95S44Mstatementnone
Determinant of a transpose0ZZQ2E1MTEstatementnone
Doob's upcrossing inequality10HFW1GRV2statementnone
Stationary phase approximation119J1Q1MG9statementnone
Homotopy lifting for covering maps11FFYBNF0Estatementnone
Willmore conjecture11MYA5W3KTstatementnone
Weierstrass factorization theorem11VC51YHQJstatementnone
Rokhlin's theorem12BXVH5W5Hstatementnone
Huisken's theorem on convex hypersurfaces14RHHMGF2Dstatementnone
Hales–Jewett theorem14SGZ5HA4Ystatementnone
Ryll-Nardzewski theorem1513J40TKAstatementnone
Beta function in terms of the gamma function151RG1JCGBstatementnone
Nakayama's lemma15JHBYR6KHstatementnone
Abel–Ruffini theorem163A2WQQJXstatementnone
Abelian theorems for integral transforms16W9PP8ET0statementnone
Liénard's theorem178GG6TXKQstatementnone
Spectral theorem for unbounded self-adjoint operators18KPYRRPZYstatementnone
Artin approximation theorem1AFTCHDDFEstatementnone
Wagner's theorem1B2ZJPVV03statementnone
Banach–Alaoglu theorem1BXEJXQ2YTstatementnone
Heaviside expansion theorem1CW7Q8QH3Nstatementnone
Dirichlet's unit theorem1D99CSKX6Nstatementnone
Krylov–Bogolyubov theorem1DHZ81S0YEstatementnone
Bernstein–von Mises theorem1E8QNK0Q92statementnone
Gauss's hypergeometric theorem1FC0T0GCCXstatementnone
Enriques–Kodaira classification1GVF19KFAKstatementnone
Regular local rings are UFDs1HD3EK5392statementnone
Evans's theorem on word problems1HTSJ6A4D2statementnone
Giroux correspondence1HTW0F4ZZ7statementnone
Fundamental strip of a Mellin transform1JAA21FHHQstatementnone
Cramér–Rao bound1JFKTEQVRXstatementnone
Fourier transform on Schwartz space1JXFTBBK6Dstatementnone
Base change theorems1NC789DATRstatementnone
Poincaré's theorem that the ball and polydisc are not biholomorphic1NF8T07H9Xstatementnone
Compactness theorem1NR3HAWG9Dstatementnone
Stone–Weierstrass theorem1P8D3MK79Hstatementnone
Pettis measurability theorem1P9ZR606JNstatementnone
Birkhoff–Grothendieck theorem1PFE27B2MGstatementnone
Krull intersection theorem1Q1AH2V41Sstatementnone
Szegő recurrence and Verblunsky coefficients1RP3NVGNA6statementnone
Arakelyan's theorem1S20A3R659statementnone
Robinson–Schensted correspondence1SCF8X47G1statementnone
Cap set problem1SF8Y9M8YBstatementnone
Huygens principle1SH2WZVZ66statementnone
Derivation of the conjugate gradient method1SYY57DCWTstatementnone
Minkowski bound1TQ2F9CFVEstatementnone
Clarkson's inequalities1V11QM5C07statementnone
Conformal invariance of harmonic functions1VGB63K5HSstatementnone
Holmgren's uniqueness theorem1VVKF0Y19Bstatementnone
Cuthill–McKee algorithm1X0E3JHCH9statementnone
Cartan–Thullen theorem1XCBCB3MD7statementnone
Saccheri–Legendre theorem1Y2XK0QJDXstatementnone
Lebesgue's theorem on differentiability of monotone functions1Y4N1DDQNRstatementnone
Loewner's torus inequality1Y9X1YW6GHstatementnone
Favard's theorem1YADG8ESHYstatementnone
Newton–Kantorovich theorem1YDR94WQMZstatementnone
Local index theorem1YKCH218MNstatementnone
Lickorish–Wallace theorem1YP4RF1QXVstatementnone
Continuous additive functions are linear1Z0105QF2Qstatementnone
Radon–Nikodym theorem1ZSZS5G1Q4statementnone
Berger's classification of holonomy groups20GTNPF5V6statementnone
Shell theorem20SAJR6J3Ystatementnone
Paley–Zygmund inequality211PJYW8W6statementnone
Zassenhaus lemma21JJ523V95statementnone
Ergodic decomposition21RJ8035KPstatementnone
Jung's theorem227ERQ43PYstatementnone
Weyl character formula for compact groups230F5FXPMQstatementnone
Nonexistence of infinite-dimensional Lebesgue measure23DM2PQC78statementnone
Fundamental theorem of Γ-convergence23RK8EZ20Pstatementnone
Thom's classification of elementary catastrophes23RVD8K8RBstatementnone
Cohn's irreducibility criterion246SBC2M2Nstatementnone
Expansion of iterated differences in shifts24D1EGHP4Gstatementnone
Conjugate residual method24YCKE2RPHstatementnone
Schur test25HF1WPPKXstatementnone
Ball's existence theorem in nonlinear elasticity269C7M56G5statementnone
Holomorphic inverse function theorem282MQP4X82statementnone
Minimal curvature property of natural cubic splines28C5WWGX9Jstatementnone
Malgrange preparation theorem2A5HZZRGFTstatementnone
Osgood uniqueness criterion2AHNVSH76Mstatementnone
Grätzer–Schmidt theorem2BZ2ZXH03Bstatementnone
Artin's induction theorem2CABBY4EEBstatementnone
Grauert's Oka principle for vector bundles2CVH8BCHTFstatementnone
Koksma–Hlawka inequality2DSN343YYWstatementnone
Martingale representation theorem2E8MQXDYNVstatementnone
Darboux's theorem on additive functions bounded on an interval2F30ZHN1RTstatementnone
Von Neumann's theorem on self-adjoint extensions2FE4P23NVCstatementnone
Phragmén–Lindelöf principle for subharmonic functions2GQKS3B3X0statementnone
Whitney embedding theorem2GSRBDT96Mstatementnone
Garden of Eden theorem2H1XHWDACHstatementnone
Itô's lemma2J1RVQB0CMstatementnone
Hopf–Lax formula2JD72JT9FQstatementnone
Weyl's law2JK9YMZV2Bstatementnone
Inverse transform sampling2KX7W1TG7Tstatementnone
Matrix Wiener–Hopf factorization2M672PP7QRstatementnone
Eberlein–Šmulian theorem2MTN8CQWMEstatementnone
Poncelet–Steiner theorem2P0DP2TK6Pstatementnone
Lempert's theorem on convex domains2PANNSQ3G6statementnone
Parallel postulate2PC3XY0PYZstatementnone
Uniqueness of adjoints2PEH9MPTARstatementnone
Bulirsch–Stoer algorithm2PJECK6ZGWstatementnone
Hahn decomposition theorem2PKHANZ8JSstatementnone
Ziggurat algorithm2PSDHH34BJstatementnone
Elliptic regularity2PVQY9PCT4statementnone
Steinitz's theorem2PYAZX5VD4statementnone
Jordan–Brouwer separation theorem2Q008XWQDEstatementnone
Classification of surfaces2SFM73YET0statementnone
Holomorphic functions on compact complex manifolds are constant2SM64J81YCstatementnone
Ohsawa–Takegoshi extension theorem2SRQCEB16Jstatementnone
Monotone class theorem2T33SA540Estatementnone
Hankel contour integral for the gamma function2V0TG9Z3ZWstatementnone
Beurling's theorem2V1DXXM9FAstatementnone
Matlis duality2V9BR5XX6Astatementnone
Namioka--Phelps2VQDK71A27statementnone
Mac Lane's coherence theorem2W2X7EBG2Sstatementnone
Z* theorem2XCJ8NNMXPstatementnone
Benamou–Brenier formula2XYQRM1NFHstatementnone
Cartan formula2YPJ39STQMstatementnone
von Neumann stability analysis2Z7NASDQB6statementnone
Wold's decomposition theorem2ZK4CE9MF8statementnone
Schwartz kernel theorem2ZKWZ0A4MTstatementnone
Kirszbraun theorem2ZM39HSFTQstatementnone
Lyapunov's convexity theorem2ZTQX5M0TKstatementnone
Artin–Rees lemma30H6B0G2FTstatementnone
Stein's unbiased risk estimate30XVCMK916statementnone
Malgrange–Ehrenpreis theorem3173Y813V7statementnone
Demailly's regularization of currents31CV5K5SAJstatementnone
Cauchy integral on Lipschitz curves31DQH72ZJPstatementnone
Jones index theorem31N0FH22ZTstatementnone
De Giorgi–Nash–Moser theorem32C3D8FG9Vstatementnone
Cauchy–Pompeiu formula345DJTSPHMstatementnone
Crossing number inequality34B1PW5EE2statementnone
Donaldson's theorem34B7K77P31statementnone
Remmert–Stein theorem34PT0GE8RAstatementnone

Open conjectures and problems

No node in the graph resolves these conjectures and problems.

None.