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In mathematics, the tautological one-form is a special 1-form defined on the cotangent bundle of a manifold. In physics, it is used to create a correspondence between the velocity of a point in a mechanical system and its momentum, thus providing a bridge between Lagrangian mechanics and Hamiltonian mechanics (on the manifold ).
ChatGPT is a generative artificial intelligence chatbot [2] [3] developed by OpenAI.Launched in 2022 based on the GPT-3.5 large language model (LLM), it was later updated to use the GPT-4 architecture.
Benzodiazepine withdrawal can also lead to disturbances in mental function that persist for several months or years (referred to as post-acute-withdrawal syndrome in this form). Withdrawal can be managed through awareness of the withdrawal reactions, individualized taper strategies according to withdrawal severity, the addition of alternative ...
The Japanese Ministry of Health, Labour, and Welfare defines hikikomori as a condition in which the affected individuals refuse to leave their parents' house, do not work or go to school, and isolate themselves from society and family in a single room for a period exceeding six months. [13]
GDP per capita is often considered an indicator of a country's standard of living; [1] [2] however, this is inaccurate because GDP per capita is not a measure of personal income. Comparisons of national income are also frequently made on the basis of purchasing power parity (PPP), to adjust for differences in the cost of living in different ...
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After the JCPOA was announced, in December 2016, Boeing signed a $17 billion deal with Iran and Airbus signed a $19 billion one. These deals were subsequently canceled. [108] China is involved in a $1.5 billion deal for infrastructure, and its CITIC bank provides $10 billion lines of credit to Iranian banks. Using euros and the yuan, this bank ...
The United States Armed Forces completed their withdrawal from Afghanistan on 30 August 2021, marking the end of the 2001–2021 war.In February 2020, the Trump administration and the Taliban signed the United States–Taliban deal in Doha, Qatar, [7] which stipulated fighting restrictions for both the US and the Taliban, and in return for the Taliban's counter-terrorism commitments, provided ...