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- Vector calculus: test 1 (20:35, 13 June 2011)
- Vector calculus: test 2 (20:35, 13 June 2011)
- Visual image search engines (19:20, 14 June 2011)
- Number theory: course (17:17, 16 June 2011)
- Real analysis: course (17:18, 16 June 2011)
- Statistics: course (17:18, 16 June 2011)
- Adding apples to oranges (15:04, 19 June 2011)
- Installing Pixcavator (03:27, 23 June 2011)
- Differential forms: homework 1 (19:34, 23 June 2011)
- Differential forms: exam 1 discussion (17:01, 28 June 2011)
- Pattern recognition in computer vision (17:54, 1 July 2011)
- Contrast (19:02, 1 July 2011)
- Maximum and minimum values of functions (16:18, 11 July 2011)
- Fermat's Theorem (16:20, 11 July 2011)
- Using derivative to find extreme values (15:17, 12 July 2011)
- Homology of filtrations (22:21, 15 July 2011)
- Derivative reflects behavior of the function (00:39, 16 July 2011)
- Using derivative to study monotonicity (00:56, 16 July 2011)
- Using derivative to study concavity (01:30, 16 July 2011)
- Resolving indeterminate expressions (03:49, 16 July 2011)
- Plotting the graph of a function (17:34, 16 July 2011)
- Applications of derivative: optimization (02:15, 17 July 2011)
- Reversing differentiation: antiderivatives (22:16, 17 July 2011)
- Developer’s introduction (17:51, 18 July 2011)
- Binary images (21:26, 18 July 2011)
- New complexes from old (13:36, 19 July 2011)
- Subcomplexes (13:38, 19 July 2011)
- Wrong math (15:54, 20 July 2011)
- Integral: introduction (17:26, 20 July 2011)
- Integral: definition (19:50, 20 July 2011)
- Integral: properties (23:26, 20 July 2011)
- Melanoma (23:34, 20 July 2011)
- Derivative and integral: Fundamental Theorem of Calculus (04:14, 21 July 2011)
- Computing integrals (18:15, 21 July 2011)
- New topological spaces from old (20:20, 21 July 2011)
- Advanced calculus: course (14:19, 22 July 2011)
- Cycle group (20:30, 24 July 2011)
- Boundary group (20:32, 24 July 2011)
- TeX (03:03, 26 July 2011)
- PageRank patent (15:23, 28 July 2011)
- Mathematics (17:07, 29 July 2011)
- JPlex examples (14:14, 30 July 2011)
- Filtration (01:11, 2 August 2011)
- Thresholding (22:37, 3 August 2011)
- Geometry of Euclidean space (20:31, 10 August 2011)
- Evaluating image-to-image search (14:46, 14 August 2011)
- Differential forms: homework 3 (15:07, 15 August 2011)
- Fluid flow (21:48, 15 August 2011)
- Non-Euclidean topology on the plane (15:10, 16 August 2011)
- Gradient (15:45, 17 August 2011)
- Extrema of functions of several variables (16:07, 17 August 2011)
- Differential forms: homework 9 (19:34, 17 August 2011)
- Vector functions (19:42, 18 August 2011)
- Derivative as a linear operator (19:55, 18 August 2011)
- Integration in dimension n (05:58, 20 August 2011)
- Vector integrals (19:47, 20 August 2011)
- Independence of path (20:41, 20 August 2011)
- Functions of several variables: exercises (20:52, 20 August 2011)
- Vector calculus: exercises (02:17, 22 August 2011)
- Vector calculus: review (02:36, 22 August 2011)
- Vector calculus: exam 1 (02:38, 22 August 2011)
- Vector calculus: exam 2 (02:41, 22 August 2011)
- Vector calculus: midterm (02:48, 22 August 2011)
- Vector calculus: exam 3 (02:51, 22 August 2011)
- Vector calculus: exam 4 (02:55, 22 August 2011)
- Vector calculus: midterm 2 (02:58, 22 August 2011)
- Vector calculus: final 2 (03:00, 22 August 2011)
- Affine approximation (03:25, 22 August 2011)
- Arc length (03:34, 22 August 2011)
- Area integral (03:45, 22 August 2011)
- Area integral: examples (03:50, 22 August 2011)
- Continuity under algebraic operations (03:55, 22 August 2011)
- Image processing: course (15:21, 23 August 2011)
- Web search (14:50, 24 August 2011)
- Perron–Frobenius theorem (15:08, 25 August 2011)
- Linear algebra of Euclidean space (19:48, 26 August 2011)
- PageRank: the math (13:15, 27 August 2011)
- Stochastic matrix (21:58, 27 August 2011)
- Chain rule of differentiation (18:58, 28 August 2011)
- Change of variables in integral (19:56, 28 August 2011)
- Directional derivative (20:12, 28 August 2011)
- Divergence (20:18, 28 August 2011)
- Fundamental Theorem of Calculus (20:19, 28 August 2011)
- Homogeneity of integral (20:23, 28 August 2011)
- Implicit Function Theorem (20:29, 28 August 2011)
- Integration with parameter (20:34, 28 August 2011)
- Linearity of integral (20:43, 28 August 2011)
- Normalization of integral (20:52, 28 August 2011)
- Parametric surfaces (21:12, 28 August 2011)
- Partial derivatives (21:22, 28 August 2011)
- Positivity of integral (21:24, 28 August 2011)
- Product rule of differentiation (21:27, 28 August 2011)
- Sum rule of differentiation (21:29, 28 August 2011)
- Sum rule of integral (21:32, 28 August 2011)
- Patents and mathematics (15:31, 31 August 2011)
- Advection (14:19, 1 September 2011)
- Flow (14:21, 1 September 2011)
- Ball (06:02, 3 September 2011)
- Can a set to be both open and closed? (06:36, 3 September 2011)
- Cell (06:39, 3 September 2011)
- 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)