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Recent prefixes: 25-347 Martchenkov Murugesan Dancso VanDerVeen SantosK Kuno Zammit Hogan RobertsonM 25-1301 Itai KAL 24-327 Afeke Boninger

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Date-Time / Prefix Comment What? A collection of Blackboard Shots (8255, right now, with 204 prefixes), mostly taken in my office using a ceiling-mounted web camera.
Why? Mostly for my own use and for the use of the other people with whom I share blackboard space. And it is public because the easiest way to make something viewable to a number of people is to make it viewable to the whole world.
Oh no! If you found your handwriting here and you don't like it, please let me know and the relevant shot(s) will be removed, no questions asked.
How? A ceiling-mounted Logitech QuickCam Pro 9000 web camera is permanently pointed at my blackboard and connected via USB to this web server. The script bbs.php initiates a capture (using luvcview; hit "s" to shoot and "q" to quit), prompts for a file name prefix and a comment, and runs make. The makefile runs MakeDatabase.php (if necessary) to update the ShotDatabase.php. The latter file is used by index.php, which is this page, and also by show.php, used to display individual shots. The makefile also updates bbs.zip, which contains all the above mentioned scripts as well as common.php, showprefix.php, loadnew.php, random.php, the JavaScript actions.js, and the icon bbs.jpg. Finally, $\TeX$-like rendering uses MathJax (automatic on all pages but this one).
Exceptions. Some shots are taken by other means and are added manually or using loadnew.php.

251010-131519 / 25-347 Oct 10 Hour 18: More group actions (7).
251010-131518 / 25-347 Oct 10 Hour 18: More group actions (6).
251010-131517 / 25-347 Oct 10 Hour 18: More group actions (5).
251010-131516 / 25-347 Oct 10 Hour 18: More group actions (4).
251010-131515 / 25-347 Oct 10 Hour 18: More group actions (3).
251010-131514 / 25-347 Oct 10 Hour 18: More group actions (2).
251010-131513 / 25-347 Oct 10 Hour 18: More group actions.
251008-171427 / Martchenkov $\rho_1$ via braids (5).
251008-130335 / 25-347 Oct 8 Hours 16-17: Proof of Jordan-Holder, group actions (13).
251008-130334 / 25-347 Oct 8 Hours 16-17: Proof of Jordan-Holder, group actions (12).
251008-130333 / 25-347 Oct 8 Hours 16-17: Proof of Jordan-Holder, group actions (11).
251008-130332 / 25-347 Oct 8 Hours 16-17: Proof of Jordan-Holder, group actions (10).
251008-130331 / 25-347 Oct 8 Hours 16-17: Proof of Jordan-Holder, group actions (9).
251008-130330 / 25-347 Oct 8 Hours 16-17: Proof of Jordan-Holder, group actions (8).
251008-130329 / 25-347 Oct 8 Hours 16-17: Proof of Jordan-Holder, group actions (7).
251008-130328 / 25-347 Oct 8 Hours 16-17: Proof of Jordan-Holder, group actions (6).
251008-130327 / 25-347 Oct 8 Hours 16-17: Proof of Jordan-Holder, group actions (5).
251008-130326 / 25-347 Oct 8 Hours 16-17: Proof of Jordan-Holder, group actions (4).
251008-130325 / 25-347 Oct 8 Hours 16-17: Proof of Jordan-Holder, group actions (3).
251008-130324 / 25-347 Oct 8 Hours 16-17: Proof of Jordan-Holder, group actions (2).
251008-130323 / 25-347 Oct 8 Hours 16-17: Proof of Jordan-Holder, group actions.
251003-150050 / 25-347 Oct 3 Hour 15: Simplicity of $A_n$, Jordan-Holder (6).
251003-150049 / 25-347 Oct 3 Hour 15: Simplicity of $A_n$, Jordan-Holder (5).
251003-150048 / 25-347 Oct 3 Hour 15: Simplicity of $A_n$, Jordan-Holder (4).
251003-150047 / 25-347 Oct 3 Hour 15: Simplicity of $A_n$, Jordan-Holder (3).
251003-150046 / 25-347 Oct 3 Hour 15: Simplicity of $A_n$, Jordan-Holder (2).
251003-150045 / 25-347 Oct 3 Hour 15: Simplicity of $A_n$, Jordan-Holder.
251002-114139 / Murugesan Burton vs. Skein.
251001-165732 / Martchenkov $\rho_1$ via braids (4).
251001-123333 / 25-347 Oct 1 Hours 13-14: Simple groups, signs of permutations, the simplicity of $A_n$ (10).
251001-123332 / 25-347 Oct 1 Hours 13-14: Simple groups, signs of permutations, the simplicity of $A_n$ (9).
251001-123331 / 25-347 Oct 1 Hours 13-14: Simple groups, signs of permutations, the simplicity of $A_n$ (8).
Date-Time / Prefix Comment
251001-123330 / 25-347 Oct 1 Hours 13-14: Simple groups, signs of permutations, the simplicity of $A_n$ (7).
251001-123329 / 25-347 Oct 1 Hours 13-14: Simple groups, signs of permutations, the simplicity of $A_n$ (6).
251001-123328 / 25-347 Oct 1 Hours 13-14: Simple groups, signs of permutations, the simplicity of $A_n$ (5).
251001-123327 / 25-347 Oct 1 Hours 13-14: Simple groups, signs of permutations, the simplicity of $A_n$ (4).
251001-123326 / 25-347 Oct 1 Hours 13-14: Simple groups, signs of permutations, the simplicity of $A_n$ (3).
251001-123325 / 25-347 Oct 1 Hours 13-14: Simple groups, signs of permutations, the simplicity of $A_n$ (2).
251001-123324 / 25-347 Oct 1 Hours 13-14: Simple groups, signs of permutations, the simplicity of $A_n$.
250926-130020 / 25-347 Sep 26 Hour 12: The 2nd and 3rd Isomorphism Theorem (6).
250926-130019 / 25-347 Sep 26 Hour 12: The 2nd and 3rd Isomorphism Theorem (5).
250926-130018 / 25-347 Sep 26 Hour 12: The 2nd and 3rd Isomorphism Theorem (4).
250926-130017 / 25-347 Sep 26 Hour 12: The 2nd and 3rd Isomorphism Theorem (3).
250926-130016 / 25-347 Sep 26 Hour 12: The 2nd and 3rd Isomorphism Theorem (2).
250926-130015 / 25-347 Sep 26 Hour 12: The 2nd and 3rd Isomorphism Theorem.
250924-124845 / 25-347 Sep 24 Hours 10-11: The isomorphism theorems (11).
250924-124844 / 25-347 Sep 24 Hours 10-11: The isomorphism theorems (10).
250924-124843 / 25-347 Sep 24 Hours 10-11: The isomorphism theorems (9).
250924-124842 / 25-347 Sep 24 Hours 10-11: The isomorphism theorems (8).
250924-124841 / 25-347 Sep 24 Hours 10-11: The isomorphism theorems (7).
250924-124840 / 25-347 Sep 24 Hours 10-11: The isomorphism theorems (6).
250924-124839 / 25-347 Sep 24 Hours 10-11: The isomorphism theorems (5).
250924-124838 / 25-347 Sep 24 Hours 10-11: The isomorphism theorems (4).
250924-124837 / 25-347 Sep 24 Hours 10-11: The isomorphism theorems (3).
250924-124836 / 25-347 Sep 24 Hours 10-11: The isomorphism theorems (2).
250924-124835 / 25-347 Sep 24 Hours 10-11: The isomorphism theorems.
250919-131432 / 25-347 Sep 19 Hour 9: The quotient group construction (8).
250919-131431 / 25-347 Sep 19 Hour 9: The quotient group construction (7).
250919-131430 / 25-347 Sep 19 Hour 9: The quotient group construction (6).
250919-131429 / 25-347 Sep 19 Hour 9: The quotient group construction (5).
250919-131428 / 25-347 Sep 19 Hour 9: The quotient group construction (4).
250919-131427 / 25-347 Sep 19 Hour 9: The quotient group construction (3).
250919-131426 / 25-347 Sep 19 Hour 9: The quotient group construction (2).
250919-131425 / 25-347 Sep 19 Hour 9: The quotient group construction.
Date-Time / Prefix Comment
250917-165348 / Martchenkov $\rho_1$ via braids (3).
250917-122528 / 25-347 Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (18).
250917-122527 / 25-347 Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (17).
250917-122526 / 25-347 Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (16).
250917-122525 / 25-347 Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (15).
250917-122524 / 25-347 Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (14).
250917-122523 / 25-347 Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (13).
250917-122522 / 25-347 Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (12).
250917-122521 / 25-347 Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (11).
250917-122520 / 25-347 Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (10).
250917-122519 / 25-347 Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (9).
250917-122518 / 25-347 Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (8).
250917-122517 / 25-347 Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (7).
250917-122516 / 25-347 Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (6).
250917-122515 / 25-347 Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (5).
250917-122514 / 25-347 Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (4).
250917-122513 / 25-347 Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (3).
250917-122512 / 25-347 Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (2).
250917-122511 / 25-347 Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups.
250912-162547 / 25-347 Sep 12 Hour 6: End of NCGE, homomorphisms (9).
250912-162544 / 25-347 Sep 12 Hour 6: End of NCGE, homomorphisms (8).
250912-162540 / 25-347 Sep 12 Hour 6: End of NCGE, homomorphisms (7).
250912-162537 / 25-347 Sep 12 Hour 6: End of NCGE, homomorphisms (6).
250912-162534 / 25-347 Sep 12 Hour 6: End of NCGE, homomorphisms (5).
250912-162530 / 25-347 Sep 12 Hour 6: End of NCGE, homomorphisms (4).
250912-162528 / 25-347 Sep 12 Hour 6: End of NCGE, homomorphisms (3).
250912-162525 / 25-347 Sep 12 Hour 6: End of NCGE, homomorphisms (2).
250912-162522 / 25-347 Sep 12 Hour 6: End of NCGE, homomorphisms.
250910-195843 / Martchenkov $\rho_1$ via braids (2).
250910-115809 / 25-347 Sep 10 Hours 4-5: Even more Non-Commutative Gaussian Elimination (7).
250910-114325 / 25-347 Sep 10 Hours 4-5: Even more Non-Commutative Gaussian Elimination (6).
250910-113126 / 25-347 Sep 10 Hours 4-5: Even more Non-Commutative Gaussian Elimination (5).
Date-Time / Prefix Comment
250910-112545 / 25-347 Sep 10 Hours 4-5: Even more Non-Commutative Gaussian Elimination (4).
250910-105510 / 25-347 Sep 10 Hours 4-5: Even more Non-Commutative Gaussian Elimination (3).
250910-105004 / 25-347 Sep 10 Hours 4-5: Even more Non-Commutative Gaussian Elimination (2).
250910-104537 / 25-347 Sep 10 Hours 4-5: Even more Non-Commutative Gaussian Elimination.
250905-162505 / Murugesan Tree decompositions (8).
250905-122041 / 25-347 Sep 5 Hour 3: More Non-Commutative Gaussian Elimination (3).
250905-122040 / 25-347 Sep 5 Hour 3: More Non-Commutative Gaussian Elimination (2).
250905-122039 / 25-347 Sep 5 Hour 3: More Non-Commutative Gaussian Elimination.
250903-151835 / Martchenkov $\rho_1$ via braids.
250822-030448 / Dancso Problems with poles and associators (2).
250818-100340 / VanDerVeen R2c for the LT tangle invariant (2).
250818-100339 / VanDerVeen R2c for the LT tangle invariant.
250812-095150 / VanDerVeen The FxF formula for tangles (13).
250812-095149 / VanDerVeen The FxF formula for tangles (12).
250808-222218 / VanDerVeen The FxF formula for tangles (11).
250808-222217 / VanDerVeen The FxF formula for tangles (10).
250808-222216 / VanDerVeen The FxF formula for tangles (9).
250808-025810 / Dancso Problems with poles and associators.
250807-145421 / VanDerVeen The FxF formula for tangles (8).
250807-145420 / VanDerVeen The FxF formula for tangles (7).
250806-112040 / VanDerVeen The FxF formula for tangles (6).
250806-112039 / VanDerVeen The FxF formula for tangles (5).
250805-115825 / Martchenkov The Seifert pairing (4).
250805-115824 / VanDerVeen The FxF formula for tangles (4).
250801-095805 / VanDerVeen The FxF formula for tangles (3).
250801-095804 / VanDerVeen The FxF formula for tangles (2).
250801-095803 / VanDerVeen The FxF formula for tangles.
250724-144907 / Murugesan Tree decompositions (7).
250724-144906 / Murugesan Tree decompositions (6).
250724-144905 / Murugesan Tree decompositions (5).
250724-144904 / Murugesan Tree decompositions (4).
250724-144903 / Murugesan Tree decompositions (3).
Date-Time / Prefix Comment
250724-144902 / Murugesan Tree decompositions (2).
250721-154409 / Martchenkov The Seifert pairing (3).
250719-200037 / Murugesan Tree decompositions.
250717-132117 / SantosK Towards an arrow polynomial for tangles (3).
250714-125715 / SantosK Towards an arrow polynomial for tangles (2).
250711-150100 / Martchenkov The Seifert pairing (2).
250710-133058 / SantosK Towards an arrow polynomial for tangles.
250709-121851 / Martchenkov The Seifert pairing.
250704-021937 / Dancso ${\mathcal A}^{wgl}$.
250703-032707 / Kuno Emergent associators and KV solutions (31).
250703-032442 / Kuno Emergent associators and KV solutions (30).
250703-032441 / Kuno Emergent associators and KV solutions (29).
250703-032440 / Kuno Emergent associators and KV solutions (28).
250703-032439 / Kuno Emergent associators and KV solutions (27).
250703-032438 / Kuno Emergent associators and KV solutions (26).
250702-021202 / Kuno Emergent associators and KV solutions (25).
250702-021201 / Kuno Emergent associators and KV solutions (24).
250702-021200 / Kuno Emergent associators and KV solutions (23).
250702-021159 / Kuno Emergent associators and KV solutions (22).
250702-021158 / Kuno Emergent associators and KV solutions (21).
250702-021157 / Kuno Emergent associators and KV solutions (20).
250701-031612 / Kuno Emergent associators and KV solutions (19).
250701-031611 / Kuno Emergent associators and KV solutions (18).
250701-031610 / Kuno Emergent associators and KV solutions (17).
250630-024835 / Kuno Emergent associators and KV solutions (16).
250630-024834 / Kuno Emergent associators and KV solutions (15).
250630-024427 / Zammit ${\mathcal U}_q(I{\mathfrak g})$.
250627-022829 / Kuno Emergent associators and KV solutions (14).
250627-022828 / Kuno Emergent associators and KV solutions (13).
250627-022827 / Kuno Emergent associators and KV solutions (12).
250627-022826 / Kuno Emergent associators and KV solutions (11).
250626-030543 / Kuno Emergent associators and KV solutions (10).
Date-Time / Prefix Comment
250626-030542 / Kuno Emergent associators and KV solutions (9).
250626-030541 / Kuno Emergent associators and KV solutions (8).
250625-020232 / Kuno Emergent associators and KV solutions (7).
250625-020231 / Kuno Emergent associators and KV solutions (6).
250625-020230 / Kuno Emergent associators and KV solutions (5).
250625-020229 / Kuno Emergent associators and KV solutions (4).
250625-020228 / Kuno Emergent associators and KV solutions (3).
250625-020227 / Kuno Emergent associators and KV solutions (2).
250625-020226 / Kuno Emergent associators and KV solutions.
250624-023750 / Dancso The Gwenael operation (3).
250624-023749 / Dancso The Gwenael operation (2).
250624-023748 / Dancso The Gwenael operation.
250623-021103 / Hogan 1-pole formulas (2).
250623-021102 / Hogan 1-pole formulas.
250623-003406 / Dancso AET Direct (4).
250623-003405 / Dancso AET Direct (3).
250623-003404 / Dancso AET Direct (2).
250623-003403 / Dancso AET Direct.
250619-035335 / RobertsonM Annular braids and KV (4).
250619-035334 / RobertsonM Annular braids and KV (3).
250619-035333 / RobertsonM Annular braids and KV (2).
250619-035332 / RobertsonM Annular braids and KV.
250618-011651 / Dancso Aiming for an emergent expansion (2).
250618-011650 / Dancso Aiming for an emergent expansion.
250612-015603 / Dancso Ascending and descending.
250612-015602 / Dancso A presentation for parenthesized mixed braids (2).
250612-015601 / Dancso A presentation for parenthesized mixed braids.
250529-063047 / Dancso Half-capped vertices (2).
250526-025741 / Dancso Half-capped vertices.
250520-015011 / VanDerVeen Local tube equivalence.
250508-134401 / SantosK Layered descending tangles.
250508-134400 / SantosK Markov traces.
Date-Time / Prefix Comment
250425-135347 / Martchenkov Gauge fixing.
250425-130223 / SantosK Some category theory nonsense (2).
250425-130222 / SantosK Some category theory nonsense.
250425-113522 / Murugesan Computing HOMFLYPT.
250408-150320 / 25-1301 Hours 35-36: CW homology proof and examples (9).
250408-150319 / 25-1301 Hours 35-36: CW homology proof and examples (8).
250408-150318 / 25-1301 Hours 35-36: CW homology proof and examples (7).
250408-150317 / 25-1301 Hours 35-36: CW homology proof and examples (6).
250408-150316 / 25-1301 Hours 35-36: CW homology proof and examples (5).
250408-150315 / 25-1301 Hours 35-36: CW homology proof and examples (4).
250408-150314 / 25-1301 Hours 35-36: CW homology proof and examples (3).
250408-150313 / 25-1301 Hours 35-36: CW homology proof and examples (2).
250408-150312 / 25-1301 Hours 35-36: CW homology proof and examples.
250403-125747 / SantosK The Cromwell theorem from determinant formulas (4).
250403-125746 / Hogan Braidors and beaks (2).
250402-083712 / Itai Fast HOMFLYPT.
250401-095204 / 25-1301 Hour 34: Axiomatics (4).
250401-095203 / 25-1301 Hour 34: Axiomatics (3).
250401-095202 / 25-1301 Hour 34: Axiomatics (2).
250401-095201 / 25-1301 Hour 34: Axiomatics.
250331-161939 / Martchenkov Branched covers.
250327-133343 / SantosK The Cromwell theorem from determinant formulas (3).
250327-112821 / Hogan Braidors and beaks.
250327-112820 / Hogan Forget everything and do emergent braids! (3)
250326-140557 / 25-1301 Hours 32-33: Degrees, CW complexes (12).
250326-140556 / 25-1301 Hours 32-33: Degrees, CW complexes (11).
250326-140555 / 25-1301 Hours 32-33: Degrees, CW complexes (10).
250326-140554 / 25-1301 Hours 32-33: Degrees, CW complexes (9).
250326-140553 / 25-1301 Hours 32-33: Degrees, CW complexes (8).
250326-140552 / 25-1301 Hours 32-33: Degrees, CW complexes (7).
250326-140551 / 25-1301 Hours 32-33: Degrees, CW complexes (6).
250326-140550 / 25-1301 Hours 32-33: Degrees, CW complexes (5).
Date-Time / Prefix Comment
250326-140549 / 25-1301 Hours 32-33: Degrees, CW complexes (4).
250326-140548 / 25-1301 Hours 32-33: Degrees, CW complexes (3).
250326-140547 / 25-1301 Hours 32-33: Degrees, CW complexes (2).
250326-140546 / 25-1301 Hours 32-33: Degrees, CW complexes.
250325-110650 / 25-1301 Hour 31: Proof of Borsuk-Ulam (9).
250325-110649 / 25-1301 Hour 31: Proof of Borsuk-Ulam (8).
250325-110648 / 25-1301 Hour 31: Proof of Borsuk-Ulam (7).
250325-110647 / 25-1301 Hour 31: Proof of Borsuk-Ulam (6).
250325-110646 / 25-1301 Hour 31: Proof of Borsuk-Ulam (5).
250325-110645 / 25-1301 Hour 31: Proof of Borsuk-Ulam (4).
250325-110644 / 25-1301 Hour 31: Proof of Borsuk-Ulam (3).
250325-110643 / 25-1301 Hour 31: Proof of Borsuk-Ulam (2).
250325-110642 / 25-1301 Hour 31: Proof of Borsuk-Ulam.
250321-164043 / KAL Burton's HOMFLYPT Algorithm by Tamara Hogan.
250320-124850 / SantosK The Cromwell theorem from determinant formulas (2).
250320-105458 / Hogan Forget everything and do emergent braids! (2)
250318-185347 / 25-1301 Hours 29-30: The ${\mathbb R}^n/S^n$ theorems, invariance of domain, and Borsuk-Ulam (15).
250318-185346 / 25-1301 Hours 29-30: The ${\mathbb R}^n/S^n$ theorems, invariance of domain, and Borsuk-Ulam (14).
250318-185345 / 25-1301 Hours 29-30: The ${\mathbb R}^n/S^n$ theorems, invariance of domain, and Borsuk-Ulam (13).
250318-185344 / 25-1301 Hours 29-30: The ${\mathbb R}^n/S^n$ theorems, invariance of domain, and Borsuk-Ulam (12).
250318-185343 / 25-1301 Hours 29-30: The ${\mathbb R}^n/S^n$ theorems, invariance of domain, and Borsuk-Ulam (11).
250318-185342 / 25-1301 Hours 29-30: The ${\mathbb R}^n/S^n$ theorems, invariance of domain, and Borsuk-Ulam (10).
250318-185341 / 25-1301 Hours 29-30: The ${\mathbb R}^n/S^n$ theorems, invariance of domain, and Borsuk-Ulam (9).
250318-185340 / 25-1301 Hours 29-30: The ${\mathbb R}^n/S^n$ theorems, invariance of domain, and Borsuk-Ulam (8).
250318-185339 / 25-1301 Hours 29-30: The ${\mathbb R}^n/S^n$ theorems, invariance of domain, and Borsuk-Ulam (7).
250318-185338 / 25-1301 Hours 29-30: The ${\mathbb R}^n/S^n$ theorems, invariance of domain, and Borsuk-Ulam (6).
250318-185337 / 25-1301 Hours 29-30: The ${\mathbb R}^n/S^n$ theorems, invariance of domain, and Borsuk-Ulam (5).
250318-185336 / 25-1301 Hours 29-30: The ${\mathbb R}^n/S^n$ theorems, invariance of domain, and Borsuk-Ulam (4).
250318-185335 / 25-1301 Hours 29-30: The ${\mathbb R}^n/S^n$ theorems, invariance of domain, and Borsuk-Ulam (3).
250318-185334 / 25-1301 Hours 29-30: The ${\mathbb R}^n/S^n$ theorems, invariance of domain, and Borsuk-Ulam (2).
250318-185333 / 25-1301 Hours 29-30: The ${\mathbb R}^n/S^n$ theorems, invariance of domain, and Borsuk-Ulam.
250318-112344 / 25-1301 Hour 28: Mayer-Vietoris and some ${\mathbb R}^n/S^n$ theorems (6).

Date-Time / Prefix	Comment	What? A collection of Blackboard Shots (8255, right now, with 204 prefixes), mostly taken in my office using a ceiling-mounted web camera. Why? Mostly for my own use and for the use of the other people with whom I share blackboard space. And it is public because the easiest way to make something viewable to a number of people is to make it viewable to the whole world. Oh no! If you found your handwriting here and you don't like it, please let me know and the relevant shot(s) will be removed, no questions asked. How? A ceiling-mounted Logitech QuickCam Pro 9000 web camera is permanently pointed at my blackboard and connected via USB to this web server. The script bbs.php initiates a capture (using luvcview; hit "s" to shoot and "q" to quit), prompts for a file name prefix and a comment, and runs make. The makefile runs MakeDatabase.php (if necessary) to update the ShotDatabase.php. The latter file is used by index.php, which is this page, and also by show.php, used to display individual shots. The makefile also updates bbs.zip, which contains all the above mentioned scripts as well as common.php, showprefix.php, loadnew.php, random.php, the JavaScript actions.js, and the icon bbs.jpg. Finally, $\TeX$-like rendering uses MathJax (automatic on all pages but this one). Exceptions. Some shots are taken by other means and are added manually or using loadnew.php.
251010-131519 / 25-347	Oct 10 Hour 18: More group actions (7).
251010-131518 / 25-347	Oct 10 Hour 18: More group actions (6).
251010-131517 / 25-347	Oct 10 Hour 18: More group actions (5).
251010-131516 / 25-347	Oct 10 Hour 18: More group actions (4).
251010-131515 / 25-347	Oct 10 Hour 18: More group actions (3).
251010-131514 / 25-347	Oct 10 Hour 18: More group actions (2).
251010-131513 / 25-347	Oct 10 Hour 18: More group actions.
251008-171427 / Martchenkov	$\rho_1$ via braids (5).
251008-130335 / 25-347	Oct 8 Hours 16-17: Proof of Jordan-Holder, group actions (13).
251008-130334 / 25-347	Oct 8 Hours 16-17: Proof of Jordan-Holder, group actions (12).
251008-130333 / 25-347	Oct 8 Hours 16-17: Proof of Jordan-Holder, group actions (11).
251008-130332 / 25-347	Oct 8 Hours 16-17: Proof of Jordan-Holder, group actions (10).
251008-130331 / 25-347	Oct 8 Hours 16-17: Proof of Jordan-Holder, group actions (9).
251008-130330 / 25-347	Oct 8 Hours 16-17: Proof of Jordan-Holder, group actions (8).
251008-130329 / 25-347	Oct 8 Hours 16-17: Proof of Jordan-Holder, group actions (7).
251008-130328 / 25-347	Oct 8 Hours 16-17: Proof of Jordan-Holder, group actions (6).
251008-130327 / 25-347	Oct 8 Hours 16-17: Proof of Jordan-Holder, group actions (5).
251008-130326 / 25-347	Oct 8 Hours 16-17: Proof of Jordan-Holder, group actions (4).
251008-130325 / 25-347	Oct 8 Hours 16-17: Proof of Jordan-Holder, group actions (3).
251008-130324 / 25-347	Oct 8 Hours 16-17: Proof of Jordan-Holder, group actions (2).
251008-130323 / 25-347	Oct 8 Hours 16-17: Proof of Jordan-Holder, group actions.
251003-150050 / 25-347	Oct 3 Hour 15: Simplicity of $A_n$, Jordan-Holder (6).
251003-150049 / 25-347	Oct 3 Hour 15: Simplicity of $A_n$, Jordan-Holder (5).
251003-150048 / 25-347	Oct 3 Hour 15: Simplicity of $A_n$, Jordan-Holder (4).
251003-150047 / 25-347	Oct 3 Hour 15: Simplicity of $A_n$, Jordan-Holder (3).
251003-150046 / 25-347	Oct 3 Hour 15: Simplicity of $A_n$, Jordan-Holder (2).
251003-150045 / 25-347	Oct 3 Hour 15: Simplicity of $A_n$, Jordan-Holder.
251002-114139 / Murugesan	Burton vs. Skein.
251001-165732 / Martchenkov	$\rho_1$ via braids (4).
251001-123333 / 25-347	Oct 1 Hours 13-14: Simple groups, signs of permutations, the simplicity of $A_n$ (10).
251001-123332 / 25-347	Oct 1 Hours 13-14: Simple groups, signs of permutations, the simplicity of $A_n$ (9).
251001-123331 / 25-347	Oct 1 Hours 13-14: Simple groups, signs of permutations, the simplicity of $A_n$ (8).
Date-Time / Prefix	Comment
251001-123330 / 25-347	Oct 1 Hours 13-14: Simple groups, signs of permutations, the simplicity of $A_n$ (7).
251001-123329 / 25-347	Oct 1 Hours 13-14: Simple groups, signs of permutations, the simplicity of $A_n$ (6).
251001-123328 / 25-347	Oct 1 Hours 13-14: Simple groups, signs of permutations, the simplicity of $A_n$ (5).
251001-123327 / 25-347	Oct 1 Hours 13-14: Simple groups, signs of permutations, the simplicity of $A_n$ (4).
251001-123326 / 25-347	Oct 1 Hours 13-14: Simple groups, signs of permutations, the simplicity of $A_n$ (3).
251001-123325 / 25-347	Oct 1 Hours 13-14: Simple groups, signs of permutations, the simplicity of $A_n$ (2).
251001-123324 / 25-347	Oct 1 Hours 13-14: Simple groups, signs of permutations, the simplicity of $A_n$.
250926-130020 / 25-347	Sep 26 Hour 12: The 2nd and 3rd Isomorphism Theorem (6).
250926-130019 / 25-347	Sep 26 Hour 12: The 2nd and 3rd Isomorphism Theorem (5).
250926-130018 / 25-347	Sep 26 Hour 12: The 2nd and 3rd Isomorphism Theorem (4).
250926-130017 / 25-347	Sep 26 Hour 12: The 2nd and 3rd Isomorphism Theorem (3).
250926-130016 / 25-347	Sep 26 Hour 12: The 2nd and 3rd Isomorphism Theorem (2).
250926-130015 / 25-347	Sep 26 Hour 12: The 2nd and 3rd Isomorphism Theorem.
250924-124845 / 25-347	Sep 24 Hours 10-11: The isomorphism theorems (11).
250924-124844 / 25-347	Sep 24 Hours 10-11: The isomorphism theorems (10).
250924-124843 / 25-347	Sep 24 Hours 10-11: The isomorphism theorems (9).
250924-124842 / 25-347	Sep 24 Hours 10-11: The isomorphism theorems (8).
250924-124841 / 25-347	Sep 24 Hours 10-11: The isomorphism theorems (7).
250924-124840 / 25-347	Sep 24 Hours 10-11: The isomorphism theorems (6).
250924-124839 / 25-347	Sep 24 Hours 10-11: The isomorphism theorems (5).
250924-124838 / 25-347	Sep 24 Hours 10-11: The isomorphism theorems (4).
250924-124837 / 25-347	Sep 24 Hours 10-11: The isomorphism theorems (3).
250924-124836 / 25-347	Sep 24 Hours 10-11: The isomorphism theorems (2).
250924-124835 / 25-347	Sep 24 Hours 10-11: The isomorphism theorems.
250919-131432 / 25-347	Sep 19 Hour 9: The quotient group construction (8).
250919-131431 / 25-347	Sep 19 Hour 9: The quotient group construction (7).
250919-131430 / 25-347	Sep 19 Hour 9: The quotient group construction (6).
250919-131429 / 25-347	Sep 19 Hour 9: The quotient group construction (5).
250919-131428 / 25-347	Sep 19 Hour 9: The quotient group construction (4).
250919-131427 / 25-347	Sep 19 Hour 9: The quotient group construction (3).
250919-131426 / 25-347	Sep 19 Hour 9: The quotient group construction (2).
250919-131425 / 25-347	Sep 19 Hour 9: The quotient group construction.
Date-Time / Prefix	Comment
250917-165348 / Martchenkov	$\rho_1$ via braids (3).
250917-122528 / 25-347	Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (18).
250917-122527 / 25-347	Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (17).
250917-122526 / 25-347	Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (16).
250917-122525 / 25-347	Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (15).
250917-122524 / 25-347	Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (14).
250917-122523 / 25-347	Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (13).
250917-122522 / 25-347	Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (12).
250917-122521 / 25-347	Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (11).
250917-122520 / 25-347	Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (10).
250917-122519 / 25-347	Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (9).
250917-122518 / 25-347	Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (8).
250917-122517 / 25-347	Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (7).
250917-122516 / 25-347	Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (6).
250917-122515 / 25-347	Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (5).
250917-122514 / 25-347	Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (4).
250917-122513 / 25-347	Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (3).
250917-122512 / 25-347	Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups (2).
250917-122511 / 25-347	Sep 17 Hours 7-8: Homomorphisms, conjugations, kernels, images, normal subgroups.
250912-162547 / 25-347	Sep 12 Hour 6: End of NCGE, homomorphisms (9).
250912-162544 / 25-347	Sep 12 Hour 6: End of NCGE, homomorphisms (8).
250912-162540 / 25-347	Sep 12 Hour 6: End of NCGE, homomorphisms (7).
250912-162537 / 25-347	Sep 12 Hour 6: End of NCGE, homomorphisms (6).
250912-162534 / 25-347	Sep 12 Hour 6: End of NCGE, homomorphisms (5).
250912-162530 / 25-347	Sep 12 Hour 6: End of NCGE, homomorphisms (4).
250912-162528 / 25-347	Sep 12 Hour 6: End of NCGE, homomorphisms (3).
250912-162525 / 25-347	Sep 12 Hour 6: End of NCGE, homomorphisms (2).
250912-162522 / 25-347	Sep 12 Hour 6: End of NCGE, homomorphisms.
250910-195843 / Martchenkov	$\rho_1$ via braids (2).
250910-115809 / 25-347	Sep 10 Hours 4-5: Even more Non-Commutative Gaussian Elimination (7).
250910-114325 / 25-347	Sep 10 Hours 4-5: Even more Non-Commutative Gaussian Elimination (6).
250910-113126 / 25-347	Sep 10 Hours 4-5: Even more Non-Commutative Gaussian Elimination (5).
Date-Time / Prefix	Comment
250910-112545 / 25-347	Sep 10 Hours 4-5: Even more Non-Commutative Gaussian Elimination (4).
250910-105510 / 25-347	Sep 10 Hours 4-5: Even more Non-Commutative Gaussian Elimination (3).
250910-105004 / 25-347	Sep 10 Hours 4-5: Even more Non-Commutative Gaussian Elimination (2).
250910-104537 / 25-347	Sep 10 Hours 4-5: Even more Non-Commutative Gaussian Elimination.
250905-162505 / Murugesan	Tree decompositions (8).
250905-122041 / 25-347	Sep 5 Hour 3: More Non-Commutative Gaussian Elimination (3).
250905-122040 / 25-347	Sep 5 Hour 3: More Non-Commutative Gaussian Elimination (2).
250905-122039 / 25-347	Sep 5 Hour 3: More Non-Commutative Gaussian Elimination.
250903-151835 / Martchenkov	$\rho_1$ via braids.
250822-030448 / Dancso	Problems with poles and associators (2).
250818-100340 / VanDerVeen	R2c for the LT tangle invariant (2).
250818-100339 / VanDerVeen	R2c for the LT tangle invariant.
250812-095150 / VanDerVeen	The FxF formula for tangles (13).
250812-095149 / VanDerVeen	The FxF formula for tangles (12).
250808-222218 / VanDerVeen	The FxF formula for tangles (11).
250808-222217 / VanDerVeen	The FxF formula for tangles (10).
250808-222216 / VanDerVeen	The FxF formula for tangles (9).
250808-025810 / Dancso	Problems with poles and associators.
250807-145421 / VanDerVeen	The FxF formula for tangles (8).
250807-145420 / VanDerVeen	The FxF formula for tangles (7).
250806-112040 / VanDerVeen	The FxF formula for tangles (6).
250806-112039 / VanDerVeen	The FxF formula for tangles (5).
250805-115825 / Martchenkov	The Seifert pairing (4).
250805-115824 / VanDerVeen	The FxF formula for tangles (4).
250801-095805 / VanDerVeen	The FxF formula for tangles (3).
250801-095804 / VanDerVeen	The FxF formula for tangles (2).
250801-095803 / VanDerVeen	The FxF formula for tangles.
250724-144907 / Murugesan	Tree decompositions (7).
250724-144906 / Murugesan	Tree decompositions (6).
250724-144905 / Murugesan	Tree decompositions (5).
250724-144904 / Murugesan	Tree decompositions (4).
250724-144903 / Murugesan	Tree decompositions (3).
Date-Time / Prefix	Comment
250724-144902 / Murugesan	Tree decompositions (2).
250721-154409 / Martchenkov	The Seifert pairing (3).
250719-200037 / Murugesan	Tree decompositions.
250717-132117 / SantosK	Towards an arrow polynomial for tangles (3).
250714-125715 / SantosK	Towards an arrow polynomial for tangles (2).
250711-150100 / Martchenkov	The Seifert pairing (2).
250710-133058 / SantosK	Towards an arrow polynomial for tangles.
250709-121851 / Martchenkov	The Seifert pairing.
250704-021937 / Dancso	${\mathcal A}^{wgl}$.
250703-032707 / Kuno	Emergent associators and KV solutions (31).
250703-032442 / Kuno	Emergent associators and KV solutions (30).
250703-032441 / Kuno	Emergent associators and KV solutions (29).
250703-032440 / Kuno	Emergent associators and KV solutions (28).
250703-032439 / Kuno	Emergent associators and KV solutions (27).
250703-032438 / Kuno	Emergent associators and KV solutions (26).
250702-021202 / Kuno	Emergent associators and KV solutions (25).
250702-021201 / Kuno	Emergent associators and KV solutions (24).
250702-021200 / Kuno	Emergent associators and KV solutions (23).
250702-021159 / Kuno	Emergent associators and KV solutions (22).
250702-021158 / Kuno	Emergent associators and KV solutions (21).
250702-021157 / Kuno	Emergent associators and KV solutions (20).
250701-031612 / Kuno	Emergent associators and KV solutions (19).
250701-031611 / Kuno	Emergent associators and KV solutions (18).
250701-031610 / Kuno	Emergent associators and KV solutions (17).
250630-024835 / Kuno	Emergent associators and KV solutions (16).
250630-024834 / Kuno	Emergent associators and KV solutions (15).
250630-024427 / Zammit	${\mathcal U}_q(I{\mathfrak g})$.
250627-022829 / Kuno	Emergent associators and KV solutions (14).
250627-022828 / Kuno	Emergent associators and KV solutions (13).
250627-022827 / Kuno	Emergent associators and KV solutions (12).
250627-022826 / Kuno	Emergent associators and KV solutions (11).
250626-030543 / Kuno	Emergent associators and KV solutions (10).
Date-Time / Prefix	Comment
250626-030542 / Kuno	Emergent associators and KV solutions (9).
250626-030541 / Kuno	Emergent associators and KV solutions (8).
250625-020232 / Kuno	Emergent associators and KV solutions (7).
250625-020231 / Kuno	Emergent associators and KV solutions (6).
250625-020230 / Kuno	Emergent associators and KV solutions (5).
250625-020229 / Kuno	Emergent associators and KV solutions (4).
250625-020228 / Kuno	Emergent associators and KV solutions (3).
250625-020227 / Kuno	Emergent associators and KV solutions (2).
250625-020226 / Kuno	Emergent associators and KV solutions.
250624-023750 / Dancso	The Gwenael operation (3).
250624-023749 / Dancso	The Gwenael operation (2).
250624-023748 / Dancso	The Gwenael operation.
250623-021103 / Hogan	1-pole formulas (2).
250623-021102 / Hogan	1-pole formulas.
250623-003406 / Dancso	AET Direct (4).
250623-003405 / Dancso	AET Direct (3).
250623-003404 / Dancso	AET Direct (2).
250623-003403 / Dancso	AET Direct.
250619-035335 / RobertsonM	Annular braids and KV (4).
250619-035334 / RobertsonM	Annular braids and KV (3).
250619-035333 / RobertsonM	Annular braids and KV (2).
250619-035332 / RobertsonM	Annular braids and KV.
250618-011651 / Dancso	Aiming for an emergent expansion (2).
250618-011650 / Dancso	Aiming for an emergent expansion.
250612-015603 / Dancso	Ascending and descending.
250612-015602 / Dancso	A presentation for parenthesized mixed braids (2).
250612-015601 / Dancso	A presentation for parenthesized mixed braids.
250529-063047 / Dancso	Half-capped vertices (2).
250526-025741 / Dancso	Half-capped vertices.
250520-015011 / VanDerVeen	Local tube equivalence.
250508-134401 / SantosK	Layered descending tangles.
250508-134400 / SantosK	Markov traces.
Date-Time / Prefix	Comment
250425-135347 / Martchenkov	Gauge fixing.
250425-130223 / SantosK	Some category theory nonsense (2).
250425-130222 / SantosK	Some category theory nonsense.
250425-113522 / Murugesan	Computing HOMFLYPT.
250408-150320 / 25-1301	Hours 35-36: CW homology proof and examples (9).
250408-150319 / 25-1301	Hours 35-36: CW homology proof and examples (8).
250408-150318 / 25-1301	Hours 35-36: CW homology proof and examples (7).
250408-150317 / 25-1301	Hours 35-36: CW homology proof and examples (6).
250408-150316 / 25-1301	Hours 35-36: CW homology proof and examples (5).
250408-150315 / 25-1301	Hours 35-36: CW homology proof and examples (4).
250408-150314 / 25-1301	Hours 35-36: CW homology proof and examples (3).
250408-150313 / 25-1301	Hours 35-36: CW homology proof and examples (2).
250408-150312 / 25-1301	Hours 35-36: CW homology proof and examples.
250403-125747 / SantosK	The Cromwell theorem from determinant formulas (4).
250403-125746 / Hogan	Braidors and beaks (2).
250402-083712 / Itai	Fast HOMFLYPT.
250401-095204 / 25-1301	Hour 34: Axiomatics (4).
250401-095203 / 25-1301	Hour 34: Axiomatics (3).
250401-095202 / 25-1301	Hour 34: Axiomatics (2).
250401-095201 / 25-1301	Hour 34: Axiomatics.
250331-161939 / Martchenkov	Branched covers.
250327-133343 / SantosK	The Cromwell theorem from determinant formulas (3).
250327-112821 / Hogan	Braidors and beaks.
250327-112820 / Hogan	Forget everything and do emergent braids! (3)
250326-140557 / 25-1301	Hours 32-33: Degrees, CW complexes (12).
250326-140556 / 25-1301	Hours 32-33: Degrees, CW complexes (11).
250326-140555 / 25-1301	Hours 32-33: Degrees, CW complexes (10).
250326-140554 / 25-1301	Hours 32-33: Degrees, CW complexes (9).
250326-140553 / 25-1301	Hours 32-33: Degrees, CW complexes (8).
250326-140552 / 25-1301	Hours 32-33: Degrees, CW complexes (7).
250326-140551 / 25-1301	Hours 32-33: Degrees, CW complexes (6).
250326-140550 / 25-1301	Hours 32-33: Degrees, CW complexes (5).
Date-Time / Prefix	Comment
250326-140549 / 25-1301	Hours 32-33: Degrees, CW complexes (4).
250326-140548 / 25-1301	Hours 32-33: Degrees, CW complexes (3).
250326-140547 / 25-1301	Hours 32-33: Degrees, CW complexes (2).
250326-140546 / 25-1301	Hours 32-33: Degrees, CW complexes.
250325-110650 / 25-1301	Hour 31: Proof of Borsuk-Ulam (9).
250325-110649 / 25-1301	Hour 31: Proof of Borsuk-Ulam (8).
250325-110648 / 25-1301	Hour 31: Proof of Borsuk-Ulam (7).
250325-110647 / 25-1301	Hour 31: Proof of Borsuk-Ulam (6).
250325-110646 / 25-1301	Hour 31: Proof of Borsuk-Ulam (5).
250325-110645 / 25-1301	Hour 31: Proof of Borsuk-Ulam (4).
250325-110644 / 25-1301	Hour 31: Proof of Borsuk-Ulam (3).
250325-110643 / 25-1301	Hour 31: Proof of Borsuk-Ulam (2).
250325-110642 / 25-1301	Hour 31: Proof of Borsuk-Ulam.
250321-164043 / KAL	Burton's HOMFLYPT Algorithm by Tamara Hogan.
250320-124850 / SantosK	The Cromwell theorem from determinant formulas (2).
250320-105458 / Hogan	Forget everything and do emergent braids! (2)
250318-185347 / 25-1301	Hours 29-30: The ${\mathbb R}^n/S^n$ theorems, invariance of domain, and Borsuk-Ulam (15).
250318-185346 / 25-1301	Hours 29-30: The ${\mathbb R}^n/S^n$ theorems, invariance of domain, and Borsuk-Ulam (14).
250318-185345 / 25-1301	Hours 29-30: The ${\mathbb R}^n/S^n$ theorems, invariance of domain, and Borsuk-Ulam (13).
250318-185344 / 25-1301	Hours 29-30: The ${\mathbb R}^n/S^n$ theorems, invariance of domain, and Borsuk-Ulam (12).
250318-185343 / 25-1301	Hours 29-30: The ${\mathbb R}^n/S^n$ theorems, invariance of domain, and Borsuk-Ulam (11).
250318-185342 / 25-1301	Hours 29-30: The ${\mathbb R}^n/S^n$ theorems, invariance of domain, and Borsuk-Ulam (10).
250318-185341 / 25-1301	Hours 29-30: The ${\mathbb R}^n/S^n$ theorems, invariance of domain, and Borsuk-Ulam (9).
250318-185340 / 25-1301	Hours 29-30: The ${\mathbb R}^n/S^n$ theorems, invariance of domain, and Borsuk-Ulam (8).
250318-185339 / 25-1301	Hours 29-30: The ${\mathbb R}^n/S^n$ theorems, invariance of domain, and Borsuk-Ulam (7).
250318-185338 / 25-1301	Hours 29-30: The ${\mathbb R}^n/S^n$ theorems, invariance of domain, and Borsuk-Ulam (6).
250318-185337 / 25-1301	Hours 29-30: The ${\mathbb R}^n/S^n$ theorems, invariance of domain, and Borsuk-Ulam (5).
250318-185336 / 25-1301	Hours 29-30: The ${\mathbb R}^n/S^n$ theorems, invariance of domain, and Borsuk-Ulam (4).
250318-185335 / 25-1301	Hours 29-30: The ${\mathbb R}^n/S^n$ theorems, invariance of domain, and Borsuk-Ulam (3).
250318-185334 / 25-1301	Hours 29-30: The ${\mathbb R}^n/S^n$ theorems, invariance of domain, and Borsuk-Ulam (2).
250318-185333 / 25-1301	Hours 29-30: The ${\mathbb R}^n/S^n$ theorems, invariance of domain, and Borsuk-Ulam.
250318-112344 / 25-1301	Hour 28: Mayer-Vietoris and some ${\mathbb R}^n/S^n$ theorems (6).

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