obbeel 4m ago • 100%
It was a long read, but it is interesting.
obbeel 11h ago • 60%
Well, I'm selfhosting the LLM and the WebUI
My RTX 2060 computer running DarkPlanet 8B: Me: What is isotony? Bot: Isotony, a term coined by the mathematician and physicist Robert Hermann in the 1970s, refers to the property of a Lie algebra that ensures the commutator of any two elements is also an element of the algebra. In other words, isotony (or the isotonicity of the Lie bracket) means that the Lie algebra is closed under the commutator operation. Formally, a Lie algebra G over a field k is said to be isotonic if for any u, v ∈ G, [u, v] ∈ G, where [ , ] denotes the Lie bracket (or commutator). This implies that the Lie algebra is a subset of itself under the commutator operation, making it a Lie subalgebra of itself. Isotony has significant consequences in the theory of Lie algebras and their representations: Cohomology: Isotony is a crucial condition for the development of Lie algebra cohomology, which studies the obstructions to extending Lie algebra homomorphisms. It ensures that the cohomology groups are well-defined. Representations: The isotony property is essential for the classification of finite-dimensional representations of semisimple Lie algebras. It guarantees that the representation space remains unchanged under the commutator operation, facilitating the construction of higher-order tensors and invariant polynomials. Geometry: In the context of differential geometry, isotonic Lie algebras are linked to the structure of geometric objects, such as tangent spaces and cotangent spaces. This relationship is exploited in the study of Lie groups, symplectic manifolds, and Poisson geometry. Physics: In quantum mechanics and gauge theories, isotony is relevant to the definition of observables and their algebraic properties under commutation. The isotonicity of the Lie algebra of observables ensures that the commutator of any two observables remains an observable, which is vital for the consistency of the theory. It's worth noting that not all Lie algebras are isotonic. For instance, the algebra of polynomial vector fields on ℝ² is not isotonic, since the commutator of two such fields may not be a polynomial vector field. In summary, isotony is a fundamental property of Lie algebras that ensures their closure under the commutator operation. It has far-reaching implications for the classification of Lie algebras, their representations, cohomology, and connections to differential geometry and physics. Do you have any more questions about isotony or its applications? Gemini: Me: What is isotony? Bot: "Isotonic" has different meanings depending on the context. Here are the most common ones: 1. In Chemistry/Biology: * Isotonic solutions: Refer to solutions that have the same osmotic pressure. This means they have the same concentration of solutes. Cells placed in an isotonic solution will neither shrink nor swell because there's no net movement of water across the cell membrane. This is important in biology and medicine, especially when administering fluids intravenously. 2. In Exercise Physiology: * Isotonic muscle contractions: Describe muscle contractions where the muscle changes length while maintaining a constant tension. There are two types: * Concentric contractions: The muscle shortens as it contracts (e.g., lifting a weight). * Eccentric contractions: The muscle lengthens as it contracts (e.g., lowering a weight). 3. Other less common meanings: * In music: Refers to equal tones or intervals. * In mathematics: Can sometimes refer to functions that preserve order (though "order-preserving" or "monotone" are more common terms in this context). To understand the specific meaning of "isotonic," it's essential to consider the context in which it's used. Here are some examples to illustrate the different meanings: * "The doctor administered an isotonic saline solution to the patient." (Chemistry/Biology) * "Lifting a dumbbell is an example of an isotonic concentric contraction." (Exercise Physiology) * "The two notes played an isotonic interval." (Music) If you can provide more context about where you encountered the term "isotonic," I can help you pinpoint its specific meaning. ------ **Both were given a mathematical space context before asking the question.**
obbeel 21h ago • 100%
Perdão, mas a única parte do texto que fala que a pesquisa seria do Kantar IBOPE Media é "atribuída a consultoria". Três palavras em um mar de texto que são fáceis de se perder. Tive que ir atrás da informação original pra entender que quem teria feito a pesquisa foi a Kantar IBOPE Media.
obbeel 2d ago • 100%
Por que eu confiaria em Kantar Ibope Media? Estão querendo censurar a pesquisa que o YouTube fez? Melhor ter duas fontes de informação do que uma fonte de informação que vem de uma empresa de qualidade duvidosa.
obbeel 2d ago • 100%
I didn't pay that much. It was 300 to 500 reais. I received the product in my doorstep.
obbeel 3d ago • 100%
Ebay or Aliexpress, I don't remember. It works in conjunction with "Livraria cultura", though.
obbeel 3d ago • 100%
Maybe the problem is not pornography and videogames, but a grim look at the future - where the person has no stimulus or sight of something good for themselves. Maybe if things were a little less darker and men believed in themselves and their future, things would be better.
obbeel 3d ago • 66%
It seems that the book focus on foreign wars and interventions, but the lasting impact of western culture industry in the whole world is also important. I think it also takes a better life experience out from the ordinary american citizen. The western american citizen could be living a better life (more independent and self-aware), were it not by mass culture.
obbeel 3d ago • 100%
I bought a Kobo Clara last year and it works. I can even buy books. I live in Brazil.
obbeel 4d ago • 91%
Incredible. How can companies have that much power? Buying a nuclear reactor as if it were a birthday gift.
obbeel 4d ago • 100%
Linux Mint is easier to use, you don't have to edit the sudoers file as well. Linux has limited marketshare because of its marketing. Companies aren't interested in a OS for PCs (personal computers). It doesn't need to be efficient or run well. They just care about keeping the agreements with Big Tech and that things work smoothly with one another (Microsoft working well in cloud/server/local) and that their enterprise software is running well. That goes along with close ties to Big Tech. Linux can reach major parts of the personal computer space, but it will need to do so without the help of Big Companies, which is a challenge.
obbeel 4d ago • 100%
Até que enfim um jornalismo interessante vindo do Brasil, gostei.
obbeel 1w ago • 100%
Também estou procurando, só que no Rio de Janeiro. Procurei no Google e indica várias lojas de informática para fazer o descarte, mas não sei se elas fazem realmente o serviço.
obbeel 1w ago • 100%
Eu estava lendo sobre o assunto no livro "Copy, Rip, Burn" (2008) e, naquela época, os jogos já eram uma licença de uso que as empresas tentavam empurrar, mesmo a pessoa tendo o CD/DVD em mãos (a EULA ou o Copyright). Eu considero um avanço. O DRM-free do GOG garante a redistribuição e conservação do software, enquanto que a Steam promove o avanço do ambiente Linux no mundo Gaming. Vi um vídeo do YouTube que, inclusive, diz que se a Steam acabar, o suporte para o Linux acaba.
Explicando porque eu acho isso um avanço, a comunicação direta dessas empresas, mais as atitudes que elas vêm tendo no cenário, são interessantes para os consumidores. Talvez um DRM-free na Steam ou um Suporte para Linux no GOG? Seria bom.
obbeel 1w ago • 100%
It needs to work and be reliable, else it becomes something like YaCy, that doesn't work that well. Well, Mastodon and Lemmy work fine, so that's a first step.
obbeel 1w ago • 100%
Está offline até agora. Que tipo de pessoa ataca uma biblioteca?
obbeel 3w ago • 100%
What does this mean for Entropy? Is the Arrow of Time still always forward?
obbeel 3w ago • 100%
Outro dia tive que ouvir em uma live da Twitch que o Switch é um grande sucesso. Eu lembro quando lançou em 2019 que todo mundo falava que as vendas do Switch eram incrivelmente fracas. Não sei o que mudou, mas eu acredito que não muito. O Switch continua sendo um console fraco mesmo pra época que foi lançado, rodando os jogos a no máximo 30fps.
obbeel 3w ago • 100%
Notícia curta. Mesmo assim, é o fim de uma era.
obbeel 3w ago • 100%
Faltou falar como ficou estruturada a decisão do STF. Importante saber o que o STF argumentou para anular a decisão. De qualquer forma, acho que isso cria uma jurisprudência importante e guia o Brasil num caminho diferente quanto ao que é legal ou público.
Este é um periódico lançado pela Universidade de Joanesburgo que se concentra em análises sobre os BRICS.
Hoje o hackaday postou sobre o protocolo Gemini, então eu decidi repostar algo sobre o assunto em uma comunidade do .eco.br . O protocolo Gemini é um protocolo web como o HTTP que é conhecido por hospedar os seus gemlogs - pequenos blogs que falam das diversas coisas do dia-a-dia, tecnologia, natureza e outros assuntos. É um ambiente muito interessante e você pode explorá-lo através do Lagrange (browser).
Today I had to downgrade fastapi from 0.114.0 to 0.112.4 to make a software work. And it just hit me - what if pip didn't support 0.112.4 anymore? We would lose a good piece of software just because of that. Of course, we can "freeze" the packages into an executable that will run for as long as the OS supports it. Which is a lot longer. But the executable is closed source. We can't see the code that is run from an executable. Therefore, there is a need for an alternative to which we still have access to the packages even after the program is built. That would make it safely unnecessary for pip to store all versions of all packages forever more. Any ideas?
Last week I posted about the magic qualities of quantum systems in Computer Science. Now I bring an example article that makes use of it.