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Joined 1 year ago
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Cake day: July 5th, 2023

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  • No, copilot solve this test

    Answer:

    To solve the expression ( e{\int_01 x^2+x+1 , dx} ), we first need to calculate the integral of ( x^2+x+1 ) from 0 to 1.

    The integral of ( x^2+x+1 ) is: [ \int x^2+x+1 , dx = \frac{x^3}{3} + \frac{x^2}{2} + x + C ]

    Evaluating this from 0 to 1 gives us: [ \left[ \frac{x^3}{3} + \frac{x^2}{2} + x \right]_0^1 = \left( \frac{1}{3} + \frac{1}{2} + 1 \right) - \left( 0 + 0 + 0 \right) = \frac{11}{6} ]

    Now, we raise ( e ) to the power of this result: [ e^{\frac{11}{6}} ]

    This is the solution to the given expression. If you need a numerical approximation, ( e^{\frac{11}{6}} ) is approximately 4.953.


  • The castle of Castelbouc (French: Château de Castelbouc) is a ruin of a medieval castle located in the French municipality of Sainte-Enimie. This castle is a protected historical monument and is situated in the Lozère department, within the Languedoc-Roussillon region. Perched above the village of Castelbouc, it overlooks the Gorges du Tarn.

    The castle was originally constructed in the 12th century by Etienne de Castelbouc, a vassal of Elie de Montbrun, the provincial commander of the Knights Templar. However, during the 16th century, the états particuliers (French Provincial Estates-General) of the Gévaudan province ordered the destruction of several castles in the region. These castles had served as hiding places for Protestant Huguenots during the Wars of Religion. As a result, Castelbouc was demolished in 1592


  • fascinating range

    Stove (while being used): 200°C to 300°C when in use.

    Core of the Earth: In general, temperatures range from about 4,400°C (7,952°F) to about 6,000°C (10,800°F)

    Surface of the Sun: approximately 5,500°C (9,800°F)

    Core of the Sun: The Sun’s core is where nuclear fusion occurs, converting hydrogen into helium. The temperature at the Sun’s core is an astonishing 27 million°C (15 million°F) It’s the hottest part of our solar system.

    Random Examples:

    • Lightning Bolt: A lightning bolt can reach temperatures of 30,000°C (54,000°F) during discharge.
    • Lava Flow: Molten lava from a volcanic eruption can range from 700°C to 1,200°C (1,292°F to 2,192°F).
    • Spacecraft Reentry: During reentry into Earth’s atmosphere, spacecraft experience temperatures of about 1,650°C (3,002°F).
    • Boiling Water: Boiling water on your stove reaches 100°C (212°F) at sea level.
    • Liquid Nitrogen: Liquid nitrogen, used in cryogenics, is extremely cold at around -196°C (-321°F).
    • Absolute Zero: The theoretical lowest temperature, known as absolute zero, is -273.15°C (-459.67°F).



  • I asked chatgpt to eli5 this (max 150 words)

    ELI5 means “explain like I’m five”, a way of asking for a simple and clear explanation of a complex topic. Here is my attempt to eli5 the site you sent me:

    The site is about a new experiment that shows how light can behave in a weird way. Light is made of tiny particles called photons. Sometimes, photons can split into two smaller particles, and then join back together. When they do this, they can act as if they went back in time for a moment. This is very strange, because nothing else can go back in time. The scientists used a special device to make the photons split and join, and they measured how they changed. They found out that the photons could have different properties before and after they split and join, as if they changed their past. This does not mean that we can use light to travel back in time, but it shows that time is not as simple as we think. It also helps us understand more about quantum physics, the science of very small things


  • Tldr: The AstraZeneca vaccine, which uses an adenovirus to smuggle instructions into human cells to make antibodies against the novel coronavirus, has saved countless lives. However, a tiny proportion of those vaccinated developed blood clots. This blood clot syndrome is known as vaccine-induced immune thrombotic thrombocytopenia (VITT). In people with this condition, something goes wrong with the immune response and people make antibodies that can stick to one of the body’s own proteins. Researchers believe that a variation of a gene that makes parts of antibodies is linked to VITT and this is more common in people of European descent .



  • Tldr: The article is about the research of Roland Griffiths, a professor of psychiatry and behavioral sciences at Johns Hopkins University, who studies the effects of psychedelic drugs such as psilocybin, the active ingredient in magic mushrooms, on human consciousness. He has conducted experiments with healthy volunteers and people with depression, anxiety, addiction, and terminal cancer, and found that psilocybin can induce profound and lasting changes in mood, personality, and spirituality. He also explores the similarities and differences between psilocybin-induced states and those achieved by meditation. He believes that psilocybin can help people overcome their fear of death, find meaning in life, and reconnect with themselves and others. He hopes that his research will contribute to the scientific understanding of the nature of consciousness and the potential benefits of psychedelic therapy