it's interesting bc i feel like it can sometimes be way smarter when talking about ideas and isomorphisms between them than it should be and other times it will not be able to create simple code tasks that just dont have million examples on github to train
not surprised about latter but former hmm
not surprised about latter but former hmm
October 30, 2025 at 5:45 PM
it's interesting bc i feel like it can sometimes be way smarter when talking about ideas and isomorphisms between them than it should be and other times it will not be able to create simple code tasks that just dont have million examples on github to train
not surprised about latter but former hmm
not surprised about latter but former hmm
#GeneralSystemsTheory:
- isomorphisms
- information processing mechanisms
- scale invariance
- network science
#SharedFacts
- isomorphisms
- information processing mechanisms
- scale invariance
- network science
#SharedFacts
December 31, 2024 at 6:59 PM
#GeneralSystemsTheory:
- isomorphisms
- information processing mechanisms
- scale invariance
- network science
#SharedFacts
- isomorphisms
- information processing mechanisms
- scale invariance
- network science
#SharedFacts
#Covid19 from a #GeneralSystemsTheory perspective comparable to #IntermittentFasting where our cells take a break from too much food. Now people are taking a break from too much frenetic economic activity.
Corporation-cancer isomorphisms
#SharedFacts #CollectiveBehavior
Corporation-cancer isomorphisms
#SharedFacts #CollectiveBehavior
December 13, 2024 at 11:43 AM
#Covid19 from a #GeneralSystemsTheory perspective comparable to #IntermittentFasting where our cells take a break from too much food. Now people are taking a break from too much frenetic economic activity.
Corporation-cancer isomorphisms
#SharedFacts #CollectiveBehavior
Corporation-cancer isomorphisms
#SharedFacts #CollectiveBehavior
Yes that's right
Regarding the bundle: under mild assumptions on your structure group all principal bundles are diffeomorphic so picking a fixed one is really no big assumption
Preëmpting a confusion: you often see isomorphisms w/ moduli of *bundles*. Those are holomorphic bundles, not just smooth
Regarding the bundle: under mild assumptions on your structure group all principal bundles are diffeomorphic so picking a fixed one is really no big assumption
Preëmpting a confusion: you often see isomorphisms w/ moduli of *bundles*. Those are holomorphic bundles, not just smooth
December 5, 2024 at 5:30 PM
Yes that's right
Regarding the bundle: under mild assumptions on your structure group all principal bundles are diffeomorphic so picking a fixed one is really no big assumption
Preëmpting a confusion: you often see isomorphisms w/ moduli of *bundles*. Those are holomorphic bundles, not just smooth
Regarding the bundle: under mild assumptions on your structure group all principal bundles are diffeomorphic so picking a fixed one is really no big assumption
Preëmpting a confusion: you often see isomorphisms w/ moduli of *bundles*. Those are holomorphic bundles, not just smooth
#Covid19 from a #GeneralSystemsTheory perspective comparable to #IntermittentFasting where our cells take a break from too much food. Now people are taking a break from too much frenetic economic activity.
Corporation-cancer isomorphisms
#SharedFacts #CollectiveBehavior
Corporation-cancer isomorphisms
#SharedFacts #CollectiveBehavior
January 3, 2025 at 9:44 PM
#Covid19 from a #GeneralSystemsTheory perspective comparable to #IntermittentFasting where our cells take a break from too much food. Now people are taking a break from too much frenetic economic activity.
Corporation-cancer isomorphisms
#SharedFacts #CollectiveBehavior
Corporation-cancer isomorphisms
#SharedFacts #CollectiveBehavior
https://www.sciencealert.com/solar-system-arches-of-chaos-create-cosmic-fast-travel-superhighways?utm_campaign=meetedgar&utm_medium=social&utm_source=meetedgar.com
#GeneralSystemsTheory #Isomorphisms
What channels can be identified and used to accelerate transport of innovation...
#GeneralSystemsTheory #Isomorphisms
What channels can be identified and used to accelerate transport of innovation...
Astronomers Just Found Cosmic 'Superhighways' For Fast Tr...
Invisible structures generated by gravitational interacti...
www.sciencealert.com
January 9, 2025 at 2:27 PM
https://www.sciencealert.com/solar-system-arches-of-chaos-create-cosmic-fast-travel-superhighways?utm_campaign=meetedgar&utm_medium=social&utm_source=meetedgar.com
#GeneralSystemsTheory #Isomorphisms
What channels can be identified and used to accelerate transport of innovation...
#GeneralSystemsTheory #Isomorphisms
What channels can be identified and used to accelerate transport of innovation...
#Covid19 from a #GeneralSystemsTheory perspective comparable to #IntermittentFasting where our cells take a break from too much food. Now people are taking a break from too much frenetic economic activity.
Corporation-cancer isomorphisms
#SharedFacts #CollectiveBehavior
Corporation-cancer isomorphisms
#SharedFacts #CollectiveBehavior
January 15, 2025 at 4:18 AM
#Covid19 from a #GeneralSystemsTheory perspective comparable to #IntermittentFasting where our cells take a break from too much food. Now people are taking a break from too much frenetic economic activity.
Corporation-cancer isomorphisms
#SharedFacts #CollectiveBehavior
Corporation-cancer isomorphisms
#SharedFacts #CollectiveBehavior
Yeah, I guess I always just think of bijectivity telling us how to construct the inverse, so it's the means to the end.
(And probably not relevant to your class, it generalizes better because bijective morphisms aren't isomorphisms in every category)
(And probably not relevant to your class, it generalizes better because bijective morphisms aren't isomorphisms in every category)
February 6, 2025 at 8:50 PM
Yeah, I guess I always just think of bijectivity telling us how to construct the inverse, so it's the means to the end.
(And probably not relevant to your class, it generalizes better because bijective morphisms aren't isomorphisms in every category)
(And probably not relevant to your class, it generalizes better because bijective morphisms aren't isomorphisms in every category)
https://www.sciencealert.com/solar-system-arches-of-chaos-create-cosmic-fast-travel-superhighways?utm_campaign=meetedgar&utm_medium=social&utm_source=meetedgar.com
#GeneralSystemsTheory #Isomorphisms
What channels can be identified and used to accelerate transport of innovation...
#GeneralSystemsTheory #Isomorphisms
What channels can be identified and used to accelerate transport of innovation...
Astronomers Just Found Cosmic 'Superhighways' For Fast Tr...
Invisible structures generated by gravitational interacti...
www.sciencealert.com
January 22, 2025 at 4:56 AM
https://www.sciencealert.com/solar-system-arches-of-chaos-create-cosmic-fast-travel-superhighways?utm_campaign=meetedgar&utm_medium=social&utm_source=meetedgar.com
#GeneralSystemsTheory #Isomorphisms
What channels can be identified and used to accelerate transport of innovation...
#GeneralSystemsTheory #Isomorphisms
What channels can be identified and used to accelerate transport of innovation...
thoughts on isomorphisms
August 16, 2025 at 7:21 PM
thoughts on isomorphisms
I'm sorry that I've confused you.
I've said, a few times, that I only mentioned isomorphisms at all, as a counter example to the claim that the map is never the territory.
I've said, a few times, that I only mentioned isomorphisms at all, as a counter example to the claim that the map is never the territory.
September 12, 2024 at 7:36 AM
I'm sorry that I've confused you.
I've said, a few times, that I only mentioned isomorphisms at all, as a counter example to the claim that the map is never the territory.
I've said, a few times, that I only mentioned isomorphisms at all, as a counter example to the claim that the map is never the territory.
I think people overlook that she claims things normally have many functions, that teleosemantics is a theory of misrepresentation (not representation), and that her positive account of representation is based on second-order isomorphisms
November 5, 2024 at 1:29 PM
I think people overlook that she claims things normally have many functions, that teleosemantics is a theory of misrepresentation (not representation), and that her positive account of representation is based on second-order isomorphisms
$L^p(\nu) \cong \ell^p(\kappa, L^p[0,1])$ for some cardinal $\kappa$. In particular, we classify all possible isometric isomorphisms between such spaces. [4/4 of https://arxiv.org/abs/2503.06217v1]
March 11, 2025 at 6:07 AM
$L^p(\nu) \cong \ell^p(\kappa, L^p[0,1])$ for some cardinal $\kappa$. In particular, we classify all possible isometric isomorphisms between such spaces. [4/4 of https://arxiv.org/abs/2503.06217v1]
I fail to see how univalence “makes isomorphisms behave more like equalities”. To me it seems to say that “oh look, what we're calling ‘equality’ is, in fact, just ‘isomorphism’”. How is HoTT equality any more like equality (which, again, we take to mean Leibniz equality) than isomorphisms are?
February 4, 2025 at 9:38 AM
I fail to see how univalence “makes isomorphisms behave more like equalities”. To me it seems to say that “oh look, what we're calling ‘equality’ is, in fact, just ‘isomorphism’”. How is HoTT equality any more like equality (which, again, we take to mean Leibniz equality) than isomorphisms are?
German wikipedia: don't confuse homomorphism for homeomorphism
what's a homeomorphism?
English wikipedia: Homeomorphisms are isomorphisms in the category of topological spaces
*throws up hands*
what's a homeomorphism?
English wikipedia: Homeomorphisms are isomorphisms in the category of topological spaces
*throws up hands*
December 13, 2024 at 1:56 PM
German wikipedia: don't confuse homomorphism for homeomorphism
what's a homeomorphism?
English wikipedia: Homeomorphisms are isomorphisms in the category of topological spaces
*throws up hands*
what's a homeomorphism?
English wikipedia: Homeomorphisms are isomorphisms in the category of topological spaces
*throws up hands*
Alistair Miller
Isomorphisms in K-theory from isomorphisms in groupoid homology theories. (arXiv:2401.17240v1 [math.KT])
http://arxiv.org/abs/2401.17240
Isomorphisms in K-theory from isomorphisms in groupoid homology theories. (arXiv:2401.17240v1 [math.KT])
http://arxiv.org/abs/2401.17240
January 31, 2024 at 3:00 AM
Alistair Miller
Isomorphisms in K-theory from isomorphisms in groupoid homology theories. (arXiv:2401.17240v1 [math.KT])
http://arxiv.org/abs/2401.17240
Isomorphisms in K-theory from isomorphisms in groupoid homology theories. (arXiv:2401.17240v1 [math.KT])
http://arxiv.org/abs/2401.17240
#GeneralSystemsTheory:
- isomorphisms
- information processing mechanisms
- scale invariance
- network science
#SharedFacts
- isomorphisms
- information processing mechanisms
- scale invariance
- network science
#SharedFacts
January 22, 2025 at 7:02 PM
#GeneralSystemsTheory:
- isomorphisms
- information processing mechanisms
- scale invariance
- network science
#SharedFacts
- isomorphisms
- information processing mechanisms
- scale invariance
- network science
#SharedFacts
Leo Margolis, Taro Sakurai: Where isomorphisms of group algebras fail to lift https://arxiv.org/abs/2508.14169 https://arxiv.org/pdf/2508.14169 https://arxiv.org/html/2508.14169
August 21, 2025 at 6:38 AM
Leo Margolis, Taro Sakurai: Where isomorphisms of group algebras fail to lift https://arxiv.org/abs/2508.14169 https://arxiv.org/pdf/2508.14169 https://arxiv.org/html/2508.14169
I forgot the best one: logarithms and exponentials are isomorphisms of (R,+) with (R+,*).
October 11, 2023 at 12:25 AM
I forgot the best one: logarithms and exponentials are isomorphisms of (R,+) with (R+,*).
Then we can define profunctors: a profunctor C -|> D is the same thing as a presheaf on D×C^op. But also we have isomorphisms Psh(D×C^op) ≈ Fun(D^op × C, Set) ≈ Fun(C, Psh(D)) and restriction along yoneda gives that the category of cocontinuous maps Psh(C) -> Psh(D) is equivalent to Fun(C, Psh(D))
October 25, 2023 at 3:23 AM
Then we can define profunctors: a profunctor C -|> D is the same thing as a presheaf on D×C^op. But also we have isomorphisms Psh(D×C^op) ≈ Fun(D^op × C, Set) ≈ Fun(C, Psh(D)) and restriction along yoneda gives that the category of cocontinuous maps Psh(C) -> Psh(D) is equivalent to Fun(C, Psh(D))
he would be a big theoretical math guy. all this lizard wants to do is to derive isomorphisms and write proofs
February 7, 2025 at 2:29 AM
he would be a big theoretical math guy. all this lizard wants to do is to derive isomorphisms and write proofs
#Covid19 from a #GeneralSystemsTheory perspective comparable to #IntermittentFasting where our cells take a break from too much food. Now people are taking a break from too much frenetic economic activity.
Corporation-cancer isomorphisms
* #SharedFacts #CollectiveBehavior
Corporation-cancer isomorphisms
* #SharedFacts #CollectiveBehavior
February 1, 2025 at 12:06 AM
#Covid19 from a #GeneralSystemsTheory perspective comparable to #IntermittentFasting where our cells take a break from too much food. Now people are taking a break from too much frenetic economic activity.
Corporation-cancer isomorphisms
* #SharedFacts #CollectiveBehavior
Corporation-cancer isomorphisms
* #SharedFacts #CollectiveBehavior
A note on the genus of the HAWK lattice (Daniël M. H. van Gent) ia.cr/2025/215
February 13, 2025 at 1:35 PM
A note on the genus of the HAWK lattice (Daniël M. H. van Gent) ia.cr/2025/215
This exp / log situation reminds me of an investigation I was doing earlier on tensor algebras. The tensor algebra splits cleanly into a symmetric part and an exterior / alternating part. This is similar to how exp filters by isomorphisms and log filters by monomorphisms.
April 4, 2025 at 5:14 AM
This exp / log situation reminds me of an investigation I was doing earlier on tensor algebras. The tensor algebra splits cleanly into a symmetric part and an exterior / alternating part. This is similar to how exp filters by isomorphisms and log filters by monomorphisms.
#Covid19 from a #GeneralSystemsTheory perspective comparable to #IntermittentFasting where our cells take a break from too much food. Now people are taking a break from too much frenetic economic activity.
Corporation-cancer isomorphisms
#SharedFacts #CollectiveBehavior
Corporation-cancer isomorphisms
#SharedFacts #CollectiveBehavior
December 11, 2024 at 6:35 AM
#Covid19 from a #GeneralSystemsTheory perspective comparable to #IntermittentFasting where our cells take a break from too much food. Now people are taking a break from too much frenetic economic activity.
Corporation-cancer isomorphisms
#SharedFacts #CollectiveBehavior
Corporation-cancer isomorphisms
#SharedFacts #CollectiveBehavior