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Joined 1 year ago
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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”