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- Closed curve (06:53, 3 September 2011)
- Cylinder (07:15, 3 September 2011)
- Genus of surface (07:51, 3 September 2011)
- Hawaiian earring (07:52, 3 September 2011)
- How to compute homology (09:21, 3 September 2011)
- Is a restriction of a continuous function always continuous? (09:22, 3 September 2011)
- Is the intersection of any collection of open sets always open? (09:24, 3 September 2011)
- Is the inverse of a continuous function always continuous? (09:25, 3 September 2011)
- Is the union of any collection of closed sets always closed? (09:25, 3 September 2011)
- Jordan theorem (09:26, 3 September 2011)
- Orientation of cells (09:37, 3 September 2011)
- Simplex (22:24, 3 September 2011)
- Sphere (22:29, 3 September 2011)
- Topologically closed (22:36, 3 September 2011)
- Torus (22:46, 3 September 2011)
- Existence and uniqueness (16:39, 5 September 2011)
- Vector spaces: introduction (17:38, 5 September 2011)
- More on vector spaces (21:48, 5 September 2011)
- Solving systems of linear equations (01:38, 6 September 2011)
- Internal structure of a vector space: part 2 (18:59, 7 September 2011)
- Internal structure of a vector space: part 3 (19:00, 7 September 2011)
- Matrices: part 1 (14:18, 9 September 2011)
- Linear algebra: test 1 (20:28, 9 September 2011)
- Matrices as functions (22:17, 9 September 2011)
- Linear operators: part 2 (19:58, 10 September 2011)
- Linear algebra: homework 1 (03:30, 11 September 2011)
- Linear operators: part 4 (01:11, 12 September 2011)
- Linear operators: part 5 (01:11, 12 September 2011)
- Web search traffic (13:01, 30 September 2011)
- Topology of networks (23:16, 1 October 2011)
- Control (21:12, 2 October 2011)
- Topology of proteins (21:16, 2 October 2011)
- Fingerprint identification (21:18, 2 October 2011)
- Books on computer vision (12:31, 5 October 2011)
- ImageJ (14:50, 5 October 2011)
- Pixcavator Single Image Edition (17:38, 5 October 2011)
- Determinants of linear operators (18:59, 10 October 2011)
- Free Pixcavator license (15:15, 11 October 2011)
- Error (20:36, 11 October 2011)
- Eigenvalues and eigenvectors of linear operators (01:09, 12 October 2011)
- Linear algebra: test 2 (01:13, 12 October 2011)
- Diagonalization of matrices (03:39, 12 October 2011)
- Vector space of infinite sequences (02:56, 13 October 2011)
- Inner product spaces: part 1 (15:04, 13 October 2011)
- Review exercises (17:31, 13 October 2011)
- Inner product spaces: part 2 (17:59, 13 October 2011)
- Group theory: test 1 (18:02, 14 October 2011)
- Ayasdi (14:46, 16 October 2011)
- PageRank: testing (16:08, 23 October 2011)
- Conferences and workshops (02:52, 24 October 2011)
- Pixcavator misspelled (14:01, 24 October 2011)
- SMART Tablet (03:50, 25 October 2011)
- Students research projects (23:20, 25 October 2011)
- Grants (15:17, 26 October 2011)
- Problem Solving in Sciences and Engineering: projects (15:46, 26 October 2011)
- Radar gun: the math (20:37, 27 October 2011)
- A graph, non-tree representation of the topology of a gray scale image by Saveliev (15:05, 28 October 2011)
- Topology based method of segmentation of gray scale images by Saveliev (15:06, 28 October 2011)
- A graph representation of the topology of color images by Saveliev (15:33, 28 October 2011)
- Reviews (17:15, 29 October 2011)
- Grayscale images (03:10, 31 October 2011)
- Gray scale function (03:13, 31 October 2011)
- Differential equations: midterm (19:03, 1 November 2011)
- Differential equations: course (21:57, 2 November 2011)
- Publications that use Pixcavator (14:40, 4 November 2011)
- How to use Pixcavator (14:43, 4 November 2011)
- Why Pixcavator works (14:43, 4 November 2011)
- Customers (14:45, 4 November 2011)
- Testing Pixcavator (14:48, 4 November 2011)
- Image analysis software (14:48, 4 November 2011)
- Pixcavator FAQ (14:49, 4 November 2011)
- Machine learning (22:30, 4 November 2011)
- Hose measurements (14:14, 5 November 2011)
- Cell counting (15:52, 12 November 2011)
- Modern Algebra I -- Fall 2011 (20:42, 15 November 2011)
- Differential Equations Demystified by Krantz (15:21, 16 November 2011)
- Contemporary Abstract Algebra by Gallian (15:23, 16 November 2011)
- Basic Topology by Armstrong (18:45, 16 November 2011)
- College Algebra by Ratti and McWaters (18:53, 16 November 2011)
- Elementary Statistics by Bluman (18:58, 16 November 2011)
- Image Processing Handbook by Russ (19:02, 16 November 2011)
- Image model based on n-pixels and defined in algebraic topology, and applications thereof: patent (19:03, 16 November 2011)
- Probability references (19:10, 16 November 2011)
- Differential Equations -- Fall 2011 (01:25, 17 November 2011)
- Calculus Two by Flanigan and Kazdan (14:51, 23 November 2011)
- Acyclic ranking (23:30, 23 November 2011)
- Financial mathematics (16:55, 29 November 2011)
- Pixcavator help (18:26, 29 November 2011)
- Group theory: test 2 (20:31, 29 November 2011)
- Arrow's Impossibility Theorem (19:05, 5 December 2011)
- Group theory: final exam (21:39, 12 December 2011)
- College Algebra -- Fall 2011 (22:00, 12 December 2011)
- Differential equations: final exam (01:42, 13 December 2011)
- Hacker News (14:27, 18 December 2011)
- Khan Academy (16:45, 8 January 2012)
- Topology II -- midterm (16:07, 12 March 2012)
- Calculus 3: midterm (19:44, 13 March 2012)
- Introduction (15:43, 20 April 2012)
- Image-to-image search (15:43, 20 April 2012)
- Calculus with Analytic Geometry III -- Spring 2012 (20:30, 23 April 2012)
- Topology II -- Spring 2012 (23:05, 30 April 2012)
- Topology II -- final exam (15:29, 2 May 2012)
- Internal structure of a vector space: part 1 (17:13, 22 May 2012)
- Computational science training: 2011 projects (00:56, 1 June 2012)
- Dot product (15:09, 9 June 2012)
- Primal and dual complexes (21:50, 13 June 2012)
- Transpose (15:26, 28 June 2012)
- Mesh (21:42, 28 June 2012)
- Conservation of electric charge (20:47, 12 July 2012)
- Faraday's Law (13:26, 13 July 2012)
- Wave equation from Maxwell equations (14:51, 13 July 2012)
- Christopher Means (23:41, 15 July 2012)
- Material derivative (21:31, 17 July 2012)
- Principal Component Analysis (00:38, 21 July 2012)
- Pi (17:47, 21 July 2012)
- Modeling with discrete exterior calculus (17:57, 21 July 2012)
- Finite differences (01:15, 22 July 2012)
- Gaussian curvature (14:26, 22 July 2012)
- Norm (14:22, 26 July 2012)
- Manhattan metric (14:23, 26 July 2012)
- Recurrence relations (12:14, 28 July 2012)
- Barycentric subdivision (22:45, 28 July 2012)
- Image (16:55, 29 July 2012)
- Linear operator (14:25, 30 July 2012)
- Linearity (14:26, 30 July 2012)
- Jack Goodman (19:14, 8 August 2012)
- Zachary Ahlers (15:20, 10 August 2012)
- Stability Analysis (03:51, 11 August 2012)
- Exact forms are orthogonal to co-closed forms (13:22, 24 August 2012)
- Revolver upside down (19:38, 25 August 2012)
- Navier–Stokes equations (03:32, 30 August 2012)
- Price dynamics (14:23, 19 September 2012)
- Applied Differential Geometry by Burke (13:39, 5 October 2012)
- From Calculus to Cohomology by Madsen (13:51, 5 October 2012)
- Differential forms: review questions (22:37, 6 October 2012)
- Differential forms: exams (22:38, 6 October 2012)
- Dimension (00:44, 7 October 2012)
- Derivative as a function (14:05, 7 October 2012)
- Where do differential forms come from? (14:10, 7 October 2012)
- Algebraic operations with forms and cohomology (15:11, 9 October 2012)
- Calculus I -- Fall 2012 -- midterm (18:39, 11 October 2012)
- Calculus II -- Fall 2012 -- midterm (17:15, 12 October 2012)
- Additivity of integral (15:10, 13 October 2012)
- Orientation of integral (15:11, 13 October 2012)
- Path (02:07, 14 October 2012)
- Sign function (14:46, 14 October 2012)
- Addition is continuous (13:32, 15 October 2012)
- Rotation (23:02, 16 October 2012)
- Rot (13:18, 17 October 2012)
- Curl (15:07, 17 October 2012)
- Cross and dot products of vector fields under fundamental correspondence (21:58, 17 October 2012)
- Slope (13:41, 19 October 2012)
- Tangent plane (14:09, 20 October 2012)
- Orientation (03:35, 21 October 2012)
- Introductory algebraic topology: review exercises (20:10, 23 October 2012)
- Math online (17:44, 24 October 2012)
- Properties of integrals of differential forms (20:33, 24 October 2012)
- Green's Theorem (08:37, 26 October 2012)
- Gauss' Theorem (08:39, 26 October 2012)
- Introduction to Topology: Pure and Applied by Adams and Franzosa (13:36, 26 October 2012)
- The topology of a binary image (15:00, 27 October 2012)
- The geometry a gray scale image (03:29, 29 October 2012)
- Persistence complex (15:02, 29 October 2012)
- Computing persistent homology of filtrations (03:40, 30 October 2012)
- Graph representation of topology of color images (19:56, 30 October 2012)
- The topology of a color image (23:34, 30 October 2012)
- Multiparameter filtrations (23:36, 30 October 2012)
- Quotient sets (19:36, 31 October 2012)
- Persistent Betti numbers (01:20, 1 November 2012)
- Logic (13:46, 1 November 2012)
- Preimage (14:04, 1 November 2012)
- When is a cubical complex a surface? (01:22, 3 November 2012)
- Tangent bundles and differential forms (15:53, 5 November 2012)
- Computational Topology by Edelsbrunner and Harer (20:23, 5 November 2012)
- Duality (20:27, 5 November 2012)
- Cycles in images (03:57, 6 November 2012)
- Persistence (04:06, 6 November 2012)
- Robustness of topology of digital images and point clouds by Saveliev (04:08, 6 November 2012)
- Cycle (04:12, 6 November 2012)
- Persistent homology (04:14, 6 November 2012)
- Conservative vector field (14:12, 6 November 2012)
- Exact sequences (04:12, 7 November 2012)
- Euler (02:06, 8 November 2012)
- Relative homology (14:57, 8 November 2012)
- Projection map (15:35, 9 November 2012)
- General Stokes Theorem (18:26, 9 November 2012)
- Klein bottle (04:14, 10 November 2012)
- Isomorphism (15:17, 11 November 2012)
- Parametric curves (15:12, 13 November 2012)
- Velocity (15:17, 13 November 2012)
- Rotation group (16:45, 14 November 2012)
- Ordinary differential equation (18:41, 23 November 2012)
- Simple curve (19:01, 23 November 2012)
- A New Kind of Science by Wolfram (23:49, 23 November 2012)
- PageRank's dependence on the damping factor (14:29, 26 November 2012)
- PageRank as a probability distribution (15:10, 26 November 2012)
- Discrete Calculus: Applied Analysis on Graphs for Computational Science by Grady and Polimeni (16:03, 26 November 2012)
- PageRank as a solution of a matrix equation (18:36, 28 November 2012)
- Polyhedron (21:57, 30 November 2012)
- Topological equivalence (23:24, 30 November 2012)
- Cone (01:02, 1 December 2012)
- Suspension (01:09, 1 December 2012)
- Projective plane (01:28, 1 December 2012)
- Fundamental group (18:23, 2 December 2012)
- Identity map (21:27, 3 December 2012)
- A Lefschetz-type coincidence theorem by Saveliev (21:00, 4 December 2012)
- Lefschetz coincidence theory for maps between spaces of different dimensions by Saveliev (16:00, 6 December 2012)
- Lefschetz theory for coincidences (15:20, 9 December 2012)
- Linear algebra: course (15:05, 12 December 2012)
- Bordism (17:00, 12 December 2012)
- Cellular automata (22:15, 12 December 2012)
- Topological invariants (14:22, 13 December 2012)
- Calculus I -- Fall 2012 (20:49, 13 December 2012)
- Calculus I -- Fall 2012 -- final exam (00:12, 14 December 2012)
- Fiber bundle (14:51, 17 December 2012)
- Calculus II -- Fall 2012 (18:53, 19 December 2012)
- Calculus II -- Fall 2012 -- final exam (20:06, 19 December 2012)
- General position (18:04, 20 December 2012)
- Homotopy as a perturbation (16:20, 24 December 2012)
- Cells (23:11, 25 December 2012)
- Integral theorems of vector calculus (14:18, 28 December 2012)
- Integration of differential forms of degree 0 and 1 (17:44, 31 December 2012)
- PageRank as a flow (14:58, 5 January 2013)
- Continuity of functions of several variables (16:33, 16 January 2013)
- Is projection a quotient function? (20:15, 18 January 2013)
- Tangent bundle (02:33, 22 January 2013)
- Matrices: part 2 (19:46, 27 January 2013)
- Linear operators: part 1 (19:58, 27 January 2013)
- Orientation of manifolds (16:30, 28 January 2013)
- Lengths of curves (20:21, 7 February 2013)
- Approximating paths (20:58, 7 February 2013)
- Clairaut's theorem (16:40, 8 February 2013)
- Calculus and algebra vs topology (21:26, 8 February 2013)
- Vector calculus: course (16:00, 9 February 2013)
- Calculus of differential forms: course (20:25, 10 February 2013)
- Poincare duality (01:32, 11 February 2013)
- Linear functions in Euclidean space (04:43, 15 February 2013)
- Fubini's theorem (13:21, 15 February 2013)
- Diagonal map (14:07, 16 February 2013)
- Orientable surface (14:47, 17 February 2013)
- Fundamental class (15:23, 17 February 2013)
- Tunnels (14:47, 18 February 2013)
- Relation (14:55, 19 February 2013)
- Bijection (20:41, 19 February 2013)
- Algorithm for binary images (21:19, 22 February 2013)
- Bad math (10:35, 26 February 2013)
- Purchase Pixcavator (15:13, 1 March 2013)
- Calculus by Rogawski (16:38, 1 March 2013)
- Pixcavator DLL (17:35, 1 March 2013)
- Skew-commutativity (16:09, 3 March 2013)