User contributions for Leo algknt
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30 July 2018
- 17:4017:40, 30 July 2018 diff hist +46 Notes for AKT-140305/0:41:57 No edit summary current
- 17:3717:37, 30 July 2018 diff hist −32 Notes for AKT-140305/0:41:57 No edit summary
- 17:3517:35, 30 July 2018 diff hist +917 N Notes for AKT-140305/0:41:57 Created page with "'''Showing that''' <math>(\ker f)^* = V^*/\mathrm{im}f^*</math> '''for a linear map''' <math>f : V \rightarrow W</math>. '''(~~~ and Jesse had a discussion.) ''' Let <math>\..."
26 July 2018
- 18:0218:02, 26 July 2018 diff hist +13 Notes for AKT-140228/0:41:45 No edit summary current
- 17:3817:38, 26 July 2018 diff hist +245 Notes for AKT-140228/0:41:45 No edit summary
18 July 2018
- 15:2515:25, 18 July 2018 diff hist +16 Notes for AKT-140303/0:35:03 No edit summary current
- 15:1115:11, 18 July 2018 diff hist +95 Notes for AKT-140228/0:41:45 No edit summary
- 15:0715:07, 18 July 2018 diff hist +174 N Notes for AKT-140228/0:41:45 Created page with "'''<math>(A^g)^h = A^{(gh)}</math> ?''' <center><math>\begin{align} (A^g)^h &= h^{-1}(g^{-1}Ag + g^{-1}\mathrm{d}g)h + h^{-1}\mathrm{d}h \\ &= \end{align} </math></center>"
- 14:5114:51, 18 July 2018 diff hist +1 Notes for AKT-140207/0:42:32 No edit summary current
- 14:5114:51, 18 July 2018 diff hist +112 Notes for AKT-140207/0:42:32 No edit summary
17 July 2018
- 19:4719:47, 17 July 2018 diff hist +3 Notes for AKT-140207/0:42:32 No edit summary
- 19:4519:45, 17 July 2018 diff hist +244 N Notes for AKT-140207/0:42:32 Created page with "'''Showing <math>\Psi(A) = A\wedge \mathrm{d}A</math> is invariant under <math>A\mapsto A + \mathrm{d}f</math>''' <center><math>\begin{align} \Psi(A + \mathrm{d}f) &= (A + \ma..."
12 July 2018
- 13:3613:36, 12 July 2018 diff hist +87 Notes for AKT-140303/0:35:03 No edit summary
- 12:2312:23, 12 July 2018 diff hist +19 Notes for AKT-140129/0:27:34 No edit summary
- 12:2212:22, 12 July 2018 diff hist −30 Notes for AKT-140303/0:35:03 No edit summary
- 12:2012:20, 12 July 2018 diff hist +2 Notes for AKT-140303/0:35:03 No edit summary
- 12:2012:20, 12 July 2018 diff hist +464 N Notes for AKT-140303/0:35:03 Created page with "'''Value of <math>W_{\mathfrak{g},R}</math> on <math>\mathcal{IHX}</math>'''. Compution for <math>\mathcal{I}</math> <center><math>\begin{align} W_{\mathfrak{g},R}(\mathca..."
- 11:2611:26, 12 July 2018 diff hist +111 Notes for AKT-140212/0:19:31 No edit summary current
11 July 2018
- 17:3817:38, 11 July 2018 diff hist −58 Notes for AKT-140129/0:27:34 Blanked the page
- 17:3717:37, 11 July 2018 diff hist +34 Notes for AKT-140129/0:27:34 No edit summary
- 17:2517:25, 11 July 2018 diff hist +1 Notes for AKT-140129/0:27:34 No edit summary
- 17:2417:24, 11 July 2018 diff hist +42 N File:Fr swa.jpg Linking number; framing and swaddling maps
- 17:1617:16, 11 July 2018 diff hist −6 Notes for AKT-140129/0:27:34 No edit summary
- 17:1417:14, 11 July 2018 diff hist 0 File:Proof.jpg Leo algknt uploaded a new version of "File:Proof.jpg" current
- 17:1317:13, 11 July 2018 diff hist 0 File:Proof.jpg Leo algknt uploaded a new version of "File:Proof.jpg"
- 17:0717:07, 11 July 2018 diff hist +29 Notes for AKT-140129/0:27:34 No edit summary
- 15:5715:57, 11 July 2018 diff hist −59 Notes for AKT-140212/0:19:31 No edit summary
- 15:5515:55, 11 July 2018 diff hist +89 Notes for AKT-140212/0:19:31 No edit summary
4 July 2018
- 02:2702:27, 4 July 2018 diff hist +649 N Notes for AKT-140224/0:27:53 Created page with "'''Lie algebra of dimensions 1 and 2''' 1. '''one-dimensional Lie algebras''' are unique up to isomorphism. For if <math>\mathfrak{g} = \langle x \rangle </math> is a one d..." current
28 June 2018
- 00:4200:42, 28 June 2018 diff hist +11 Notes for AKT-140214/0:08:40 No edit summary current
- 00:3800:38, 28 June 2018 diff hist +2,257 N Notes for AKT-140214/0:08:40 Created page with "The set of differential <math>k</math>-forms on a manifold <math>M</math> (example <math>\mathbb{R}^3</math>) is a vector space <math>\Omega^k(M)</math> and when <math>k=0</ma..."
20 June 2018
- 18:4118:41, 20 June 2018 diff hist +1 Notes for AKT-140212/0:19:31 No edit summary
- 18:4118:41, 20 June 2018 diff hist +3 Notes for AKT-140212/0:19:31 No edit summary
- 18:4018:40, 20 June 2018 diff hist +118 N Notes for AKT-140212/0:19:31 Created page with "'''Question about mod rotation''': Can I say since we are dealing with points and therefore rotations do not matter?"
- 13:4913:49, 20 June 2018 diff hist +87 Notes for AKT-140205/0:31:49 No edit summary current
- 13:4513:45, 20 June 2018 diff hist +62 Notes for AKT-140205/0:18:09 No edit summary current
- 13:4013:40, 20 June 2018 diff hist +2 Notes for AKT-140205/0:18:09 No edit summary
- 13:4013:40, 20 June 2018 diff hist +353 N Notes for AKT-140205/0:18:09 Created page with "'''Configuration space''' <math>C_A^O(M) = {\mathrm{injections}\; f: A \rightarrow M}</math>, where <math>A</math> and <math>M</math> are finite set and a topological space ..."
- 02:2202:22, 20 June 2018 diff hist +68 Notes for AKT-140115/0:30:33 No edit summary current
- 02:1802:18, 20 June 2018 diff hist +102 Notes for AKT-140115/0:30:33 No edit summary
- 02:1602:16, 20 June 2018 diff hist +84 Notes for AKT-140115/0:30:33 No edit summary
- 02:1502:15, 20 June 2018 diff hist +1,116 N Notes for AKT-140115/0:30:33 Created page with "'''Configuration space''' Given a topological space <math>X</math>, the <math>n</math>th ordered configuration space of <math>X</math> denoted by <math>\mathrm{Conf}_n(X)</ma..."
18 June 2018
- 15:0315:03, 18 June 2018 diff hist +186 Notes for AKT-140124/0:23:30 No edit summary current
14 June 2018
- 03:5203:52, 14 June 2018 diff hist −18 Notes for AKT-140129/0:27:34 Blanked the page
- 03:4403:44, 14 June 2018 diff hist +18 N Notes for AKT-140129/0:27:34 Created page with "File:Proof.jpg"
- 03:4003:40, 14 June 2018 diff hist 0 N File:Proof.jpg No edit summary
13 June 2018
- 20:0720:07, 13 June 2018 diff hist +223 N Notes for AKT-140205/0:31:49 Created page with "In the definition of <math>C_A(M)</math>, the disjoint union is taken over partition of <math>A</math>; I would like to know why they are all of length <math>k</math>. Also do..."
9 June 2018
- 02:0202:02, 9 June 2018 diff hist +121 N Notes for AKT-140210/0:34:37 Created page with "Could we have used a different graph instead of the trivalent graph and a different set of relations to get what we want?" current
7 June 2018
- 19:4719:47, 7 June 2018 diff hist +167 N Notes for AKT-140124/0:38:21 Created page with "It is not clear why <math>Z^{-1}</math> times the integral equals <math>\varphi_1\Lambda^{-1}\varphi_2</math> and why it is the same as the formula obtained previously" current
6 June 2018
- 01:2301:23, 6 June 2018 diff hist +570 N Notes for AKT-140124/0:23:30 Created page with "Let <math>\Lambda</math> be a symmetric, positive definite, non-singular square matrix. Then we have the following: <math> <x - \Lambda^{-1} y, \Lambda(x - \Lambda^{-1}y)> = ..."
5 June 2018
- 13:1813:18, 5 June 2018 diff hist +791 Notes for AKT-140110/0:01:35 No edit summary current
4 June 2018
- 01:1601:16, 4 June 2018 diff hist +147 Notes for AKT-140110/0:39:54 No edit summary current
- 01:1401:14, 4 June 2018 diff hist +40 Notes for AKT-140110/0:39:54 No edit summary
- 01:1001:10, 4 June 2018 diff hist −54 Notes for AKT-140110/0:39:54 No edit summary
- 01:0901:09, 4 June 2018 diff hist +52 Notes for AKT-140110/0:39:54 No edit summary
31 May 2018
- 01:4201:42, 31 May 2018 diff hist +123 N Notes for AKT-140122/0:15:52 Created page with "I thought <math>\beta</math> is always from the disk to <math>S^2</math>. Why do you say "with an arbitrary swaddling map"?"
- 01:1901:19, 31 May 2018 diff hist +563 Notes for AKT-140108/0:08:12 No edit summary current
29 May 2018
- 14:2414:24, 29 May 2018 diff hist +128 N Notes for AKT-140127/0:25:24 Created page with "Are chord diagrams unique? Or is the map <math>K \rightarrow D_{K}</math> injective? I think they are unique but not very sure." current
28 May 2018
- 14:1514:15, 28 May 2018 diff hist +93 N Notes for AKT-140120/0:35:15 Created page with "The Jones Skein relation is quite similar to the skein relation for the Alexander polynomial." current
27 May 2018
- 05:3405:34, 27 May 2018 diff hist +45 N Notes for AKT-140115/0:24:32 Created page with "I am wandering what '''diagonal''' means here" current
26 May 2018
- 15:1915:19, 26 May 2018 diff hist +117 Notes for AKT-140110/0:39:54 No edit summary
- 15:1515:15, 26 May 2018 diff hist +1 Notes for AKT-140110/0:39:54 No edit summary
- 15:1515:15, 26 May 2018 diff hist +146 N Notes for AKT-140110/0:39:54 Created page with "I found this link about the Lagrngian: [http://www.feynmanlectures.caltech.edu/II_19.html], and it talks about '''The Principle of Least Action'''"
25 May 2018
- 15:5715:57, 25 May 2018 diff hist +20 Notes for AKT-140110/0:35:38 No edit summary current
- 15:5215:52, 25 May 2018 diff hist −8 Notes for AKT-140110/0:35:38 No edit summary
- 15:4815:48, 25 May 2018 diff hist +632 N Notes for AKT-140110/0:35:38 Created page with "'''Lagrangian Mechanics''' is a tool used in studying motions in Classical Mechanics and it was introduced by Joseph-Louis Lagrange in 1788. An important concept in Lagragian ..."
- 05:3305:33, 25 May 2018 diff hist +115 N Notes for AKT-140110/0:35:55 Created page with "I have noticed that the d<math>x</math> always comes before the integrand. Any reason for this or it just notation?" current
- 04:5104:51, 25 May 2018 diff hist +54 N Notes for AKT-140110/0:24:44 Created page with "In the proof of Lemma 3.3, I am okay up to this point." current
- 02:1202:12, 25 May 2018 diff hist +357 N Notes for AKT-140110/0:01:35 Created page with "'''What is Quantum Mechanics?''' Quantum mechanics is a tool or theory in physics that is used to describe the state of the world or a system at the subatomic level. The theo..."
24 May 2018
- 20:4720:47, 24 May 2018 diff hist +674 User:Leo algknt No edit summary current
- 03:5503:55, 24 May 2018 diff hist +189 N Notes for AKT-140108/0:24:50 Created page with "I am still not clear on why the image of the unlink is the equator of the sphere. I am wandering why not any other circle above or below the equator. Do we homotop the image t..."
- 02:0602:06, 24 May 2018 diff hist +238 Notes for AKT-140106/0:43:23 No edit summary
- 02:0502:05, 24 May 2018 diff hist +936 Notes for AKT-140106/0:43:23 No edit summary
- 01:5301:53, 24 May 2018 diff hist +8 User:Leo algknt No edit summary
- 01:5301:53, 24 May 2018 diff hist +285 User:Leo algknt No edit summary
- 01:3801:38, 24 May 2018 diff hist +2 User:Leo algknt No edit summary
- 01:3601:36, 24 May 2018 diff hist +3 User:Leo algknt No edit summary
- 01:2501:25, 24 May 2018 diff hist +6 User:Leo algknt No edit summary
- 01:2401:24, 24 May 2018 diff hist +357 User:Leo algknt No edit summary
- 00:4900:49, 24 May 2018 diff hist +346 User:Leo algknt No edit summary
- 00:2900:29, 24 May 2018 diff hist +329 User:Leo algknt No edit summary
- 00:1300:13, 24 May 2018 diff hist +49 User:Leo algknt No edit summary
- 00:1200:12, 24 May 2018 diff hist +54 User:Leo algknt No edit summary
- 00:0200:02, 24 May 2018 diff hist +616 N User:Leo algknt Created page with "'''Home Work 1''' '''Question 1.''' A. Prove that the set of all 3-colourings of a knot diagram is a vector space over {\mathbb F}_3. Hence \lambda(K) is always a power of 3..."
23 May 2018
- 13:2513:25, 23 May 2018 diff hist +42 Notes for AKT-140108/0:08:12 No edit summary
- 12:5912:59, 23 May 2018 diff hist +447 Notes for AKT-140108/0:08:12 No edit summary
9 May 2018
- 03:3103:31, 9 May 2018 diff hist 0 Notes for AKT-140108/0:08:12 No edit summary
- 03:3003:30, 9 May 2018 diff hist +125 Notes for AKT-140108/0:08:12 20180509: Reason for the factor half