Amittai Siavava
Software Engineer, Et Cetera

archive

1398 views
2024
    Thu, 1/18/2024
    211 views
    on being at home

    The past is always tense, the future perfect.

    Sun, 1/14/2024
    101 views
    gamma derivation

    There are few creatures in mathematics as interesting yet, somehow, useful as the Gamma function,

    An interesting result about this function is that for positive integers . But why is that so? Better yet, why is the gamma function defined so, how is it related to factorials, and what does its values at non-integers mean?

    Fri, 1/5/2024
    121 views
    real world logic

    Sometimes when you're lost, you're found.

    Wed, 1/3/2024
    62 views
    exercise for the reader

    One day Shizuo Kakutani was teaching a class at Yale.
    He wrote down a lemma on the blackboard and announced that the proof was obvious.
    One student timidly raised his hand and said that it wasn't obvious to him.

    Could Kakutani explain?

2023
    Sat, 12/30/2023
    206 views
    the riemann hypothesis

    The Riemann hypothesis is considered one of the most important unsolved problems in pure mathematics, with wide-ranging applications across quantum physics, cryptography, number theory, and other fields. It is one of the millenium prize problems by the Clay Mathematics Institute.

    At the heart of the hypothesis is the Riemann zeta function;

    What makes this function so interesting and consequential across scientific fields?

    Fri, 12/29/2023
    86 views
    the gamma extensions

    The Gamma function, , is at the heart of important results in mathematics including the Riemann hypothesis.

    It is defined as follows:

    What does it represent, and why is it touted as an analytic continuation of the factorial function?

    Sun, 12/17/2023
    185 views
    on doing and erring

    The tendency to put off, push away, or otherwise delay is strong. Yet, it is best to act and move on, or act again, if you have to.

    Thu, 11/23/2023
    43 views
    derivatives

    When I experience a creative block, I sometimes try to force my mind back into a productive state, to think ever so hard about the problem, and squeeze out a new idea. The physicist Richard Feynman speaks of a similar period of "burn-out" in his work, where he felt he was not making progress. Except he decided to stop trying to do research entirely, instead playing with interesting ideas in his field without regard to where they would go.

    Sat, 10/21/2023
    14 views
    imagined existence

    Does our perceived reality have merit in itself? What if such perceptions are marred by psychosis, delusion, or an otherwise disparate mental model that cannot fully emulate human experience? Is our reality any less real, then, or is it just as valid?
    Westworld, "The Bicameral Mind".

    Sun, 9/24/2023
    18 views
    not knowing

    Knowing nothing is the first step to knowing anything. Yet, it is often frowned upon to admit that you know nothing. In the Socratic Dialogues, Socrates posits that it is worse of oneself to think they know that which they do not know than to admit that they do not know.

    Tue, 9/19/2023
    18 views
    nothingness

    What happens after we die?
    Where does our energy go?
    And what about the universe?
    Can it die? Where did it come from?

    How could there be nothing.
    And then, suddenly, something?

    Thu, 9/14/2023
    11 views
    apocalyptic curve

    How do we motivate the purpose in the things we do?

    Sat, 9/9/2023
    18 views
    darkness

    Is a god who presides over killers truly a god?

    Wed, 9/6/2023
    98 views
    git erase

    If you write software, then you should be using version control tools such as git. However, following git best practices frequently leaves you with a messy commit history. How can one clean it up?

    Tue, 9/5/2023
    43 views
    doing things

    I've got to ask—
    What made you pick this line of work?

    I read a lot of biographies about successful people.
    Do you know what they all have in common?

    They do what they love.

    I figured I should too.

    Sat, 9/2/2023
    23 views
    abstract numbers

    I sometimes think about the inner workings of who I am and the transparency of my truth, the regressions and progressions I've learned to grow within and from, the ever changing ebb and flow of experiences I've had and I'm yet to have. I'm grateful that I have taken in so much by naturally being an observer, but it all feels so overwhelming, especially lately.

    Fri, 8/25/2023
    8 views
    slow thinking

    The world champions the quick-witted.
    That does not mean taking your time to formulate considered and nuanced views is a bad thing.

    Fri, 8/4/2023
    4 views
    ghost town

    Human relationships are complicated, and so are the things we do to maintain them.

    Wed, 7/26/2023
    10 views
    indirection

    Indirection is the cause of complexity. It is also the solution to complexity. When, where, and how do we draw a line?

    Mon, 7/17/2023
    20 views
    imposting

    Do you feel you just aren't "good enough"?
    This is for you.

    Sat, 7/15/2023
    16 views
    maniac

    We often underestimate the stories that live in our hearts. Stories that square our truth to feelings unchanged by time. We may reject them in fear of their pain — denying, rather than holding, and concealing, rather than revealing — hoping that they fade or vanish entirely. But such artifacts do not easily faint; instead, they grow in perpetual search for a shadow to call home.

    Wed, 6/21/2023
    35 views
    fmultiply

    If we list all the natural numbers below that are multiples of or , we get , , and . The sum of these multiples is . Find the sum of all the multiples of and below .

2021
    Sun, 3/14/2021
    29 views
    data-driven behavior change

    ChatGPT, AlphaFold, AlphaGo, the list of recent developments in Machine Learning and AI are endless. Still, AI solutions are causing bigger ripples in existing industries as existing norms and relevant human roles and relationships between humans and machines are re-imagined.

2020
    Tue, 12/15/2020
    3 views
    space race

    With developments in technology and the realization of the harsh reality that human life might someday need to relocate from a dying earth, space exploration is becoming an increasingly important endeavor for humanity.

    Tue, 12/15/2020
    32 views
    tech inroads

    Technology is one of the primary drivers of accelerated development in developing nations. This paper explores the role of technology in the developing world, looking at the possibilities and challenges, and addressing how the technology disparity between developing and developed nations arose in the first place.

    Thu, 8/13/2020
    4 views
    teardrop

    A haiku about emotional contradictions and the absence of "collectedness."

    Sun, 5/17/2020
    3 views
    passion

    A haiku about human passion.

    Sun, 5/17/2020
    2 views
    audacity

    A speech about having arrogant conviction in our ability to change the world.

    Fri, 4/3/2020
    ascendant

    We often have to wear facades to survive.
    But how much longer?

    Fri, 4/3/2020
    2 views
    containing multitudes

    Self-contradiction is a human condition.

    Fri, 2/28/2020
    4 views
    seeking

    The older we get, the harder we seek meaning, yet the harder it is to find.

2019
    Sat, 8/3/2019
    4 views
    possibilities

    Putting your all into everything you commit to also means some big disappointments.

    Wed, 6/5/2019
    7 views
    dissonance theory

    Hell is empty and all the devils are here.

    Wed, 6/5/2019
    2 views
    suffering

    On realness and suffering.

    Mon, 2/11/2019
    9 views
    nowhere people

    A short poem on the human condition and how our determined-ness eventually digs us into our own disasters.

    Wed, 2/6/2019
    11 views
    structure

    A haiku about yearning for structure in a chaotic world.