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Cake day: June 25th, 2023

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  • Yes, and as linear algebra teaches, to convert a vector from direction and magnitude to a list of numbers (components), follow these steps:

    1. Let the magnitude of the vector be represented by the symbol |A| or A.
    2. Let the direction of the vector be represented by the angle θ, which is measured counterclockwise from the positive x-axis.
    3. The x-component of the vector is given by: Ax = |A| cos(θ)
    4. The y-component of the vector is given by: Ay = |A| sin(θ)

    The vector can now be represented as a list of numbers: A = (Ax, Ay)

    For example, if a vector has a magnitude of 5 units and a direction of 30° counterclockwise from the positive x-axis, its components would be:

    Ax = 5 cos(30°) ≈ 4.33 units Ay = 5 sin(30°) ≈ 2.50 units

    The vector can now be written as A = (4.33, 2.50)

    source


  • I appreciate your honesty, I can relate b/c I’ve been there at points in my life too, including the weed. three things helped me kick/reduce all those habits:

    1. stop expecting perfection from myself by giving myself lots of internal validation every day & replacing self-loathing thoughts with gratitude
    2. break apart overwhelming tasks into stupidly small tasks like “write the first word of the first paragraph, then the next word, etc”
    3. be my own parent & stop using weed, other substances and addictions like videogames to distract from the present by deciding to take short breaks (e.g. 1 day/1 week/1 month) & telling myself I’ll keep going if I feel good after

    I can recommend a book called Don’t Believe Everything You Think, it’s a short & easy read that reminds you why it’s good to be in the present & that all the answers you need are already within you if you’re honest enough with yourself to ask & answer those questions. good luck!



  • “procrastination” can be seen as avoiding tasks, but IMO we need a different word to describe it for tasks you want to do (which eventually get done) and those you don’t (which may not).

    seems to me capitalists favor using that word for the former case as an explanation of why people with ADHD take so long to do tasks; they want us to see mental and emotional pre-processing as “wasted time”








  • This is a very dangerous take, and it’s concerning how many upvoters you have, who are also not thinking critically.

    You seem to be forgetting that liberals and conservatives in this country are all Americans. We are all on one team, and foreign interests wish to divide us and convince us that we are enemies, when we are not.

    Watch this if you don’t believe me.

    Conservatives need liberals to exist as much as liberals need conservatives to exist. The day this country’s tensions between conservatism and liberalism die is the day the USA ceases to exist. That tension is at the core of our republic, literally since its founding, and it’s what makes us great, unlike any other nation on Earth.

    I wish more progressives would remember that.


  • solarbabies@lemmy.worldtoScience Memes@mander.xyzPhysics
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    8 months ago

    I’m no physicist but researching this topic leads me to believe the person who posted the top comment is either a physicist worried about things that don’t impact others, or someone who has discovered the elixir of life and will live a thousand generations.

    According to perplexity, there are only 2 noteworthy consequences this could have, both of them relatively meaningless for most people’s existence today.

    First is what the end of the universe looks like (not a problem we need to worry about for all practical purposes) - If protons decay, all baryonic matter would eventually be converted into gamma ray photons and leptons. If they don’t decay, the matter will eventually be converted into… photons and leptons… same stuff, but it’ll take longer. Big whoop.

    Second is the implications on particle physics (again, not a real problem that substantially affects anyone’s life besides actual physicists) - since the stability of protons implies the conservation of the baryon number, which is a principle of the Standard Model, if protons don’t decay then… the standard model we already have is correct, and newer theoretical models attempting to unify all the forces will have a harder time doing so. That’s literally all it means, and impacts literally nobody except physicists AFAICT.

    So to the top commenter: either tell us your dirty secrets or get out of here with your alarmist crap.