Below are blog articles I've posted in the last ~12 months. Anything past that is email-walled in the "Essays" section.
Below are blog articles I've posted in the last ~12 months. Anything past that is email-walled in the "Essays" section. I'd love to make them all free, but my goal is to make this my main outlet.
I dislike writing emails so rest assured I'll rarely reach out (quarterly, at most).
How do we define geometric objects regardless of their perspective? In this lengthy guide, we'll cover the very basics of tensors - a mathematical object with invariant properties & meaning. Popularized by Einstein in his General Relativity equations, tensors are, in a way, the truths of the universe.
Perhaps no one else in this series broke glass ceiling after glass ceiling, shattering the misconceptions of their times, like Madame Marie Curie. The eminent polymath scientist, she faced obstacle after obstacle, only to radiate through & rightly earn her legacy. Maintaining the same theme as previous entries in this series, we ask — what was she like in his twenties?
Product-community fit is paramount as it’s the organic predecessor to product-market fit. Now that we have our findings from the Market Research Survey (the previous deliverable), it’s time to increase the likelihood of product-community fit by piecing together actionable portraits & stories of User Personas.
Previously, we covered the history & the basics of iterating complex numbers in hopes of generating fractals. Starting from scratch with Julia Sets, we worked our way through defining & plotting the eminent Mandelbrot Set. This time, we search for the equivalent but in the 3rd-dimension.
Undoubtedly, one of the hardest lessons any product veteran learns from launching countless projects is that the fastest way to guarantee failure is by building something that no one cares about. This is why the very second deliverable holds a special place in in this design process: it’s the first user-facing item; aka, the first time we’re actively shaping the early community & leveraging it for actionable feedback.
It’s hard to highlight just how much courage entry #16 in this series exhibited; a less-spoken part of the legend, Galileo Galilei demonstrated extraordinary resilience from both financial & legal pressures throughout his life. Despite this, his accomplishments are on par & very deserving of his place among fellow polymaths; to better understand the nature & nurture that gave us Galileo, we once again ask — what was he like in his twenties?
The game has changed. App startups have slowly been commoditized which means that speed isn’t the differentiator anymore; early adopters no longer provide authentic feedback on poorly-designed MVPs because they no longer have the same patience for early products. The key differentiator in 2020 for a launching product is now community. And community loosely translates to: who cares about what you’re building?
The starting point for the entire SetDesign product design process, the very first deliverable, is none other than the Competitor & Inspiration Analysis. While it’s a design deliverable pieced together by a single designer, it’s paramount that all stakeholders/teammates participate as the exercise is absolutely communal & collaborative.
Fractals, the crux of fractal geometry, are infinitely complex & detailed patterns that are self-similar across different scales; they’re mathematical objects created by recursions of functions in the complex space. As we’ll see shortly, fractal geometry brings us much closer to replicating the irregularities & intricacies that surround us.
Our fifteenth protagonist this Masters of Many series, Lomonosov, led both a cultural & scientific revolution — helping position Russia as a center of 18-century Enlightenment. A man of legendary mystique, he’s well-deserving of his place among this group of polymaths. Persevering our niche focus, we explore his earlier years. In order to uncover their defining habits, choices & experiences we ask again: what was he like in his twenties?
We have the practice of diet as the core tool of our nutritional needs, exercise as the crux of our fitness needs, & therapy as the model for our mental health needs. And yet, counter-intuitively, we have no equivalent structural process for how we sleep. Given the volumes of literature detailing evidence that sleep is incontrovertibly critical to our well-being, it’s bewildering to observe the lack of guidelines.
From diverse scientist to mechanical inventor to religious philosopher, Emanuel Swedenborg is tragically overlooked as one of the greatest thinkers of the previous century. Maintaining the same focus as previous submissions, we ask again — what was he like in his twenties?
LA was the first time I was overwhelmed with a new language; the weeks flew by as I memorized vocabulary, formulas & notation, yet I didn’t get the why — I had no big moment of revelation, only the simple satisfaction that I was one step closer to attaining a degree. Seven years later, I now believe that LA, not Calculus, is the true gatekeeper to the higher branches of advanced math.
The goal throughout this tutorial is to write a GScript attached to a single Sheet spreadsheet that takes a messy, copy/pasted list of historical dividends as an input & outputs a beautiful, useful, dashboard.
A mathematician, mechanical inventor, & renowned author, Charles Babbage perfectly fits our protagonist M.O as a Master of Many. The 13th entrant to this series, we’re interested in discovering his earlier life choices, specifically, what was he like in his twenties?
Despite it’s popularity, Office365 is criminally underused. I submit that these oversights are decidedly myopic. ERP software has quietly marched along, compounding with small, but significant advancements.
Within the world of mathematics, nothing has a profound impact on, well, everything. In “nothing”, we know that we’re effectively referring to the number zero’s (0) identity as the absence of anything.
An omnipresent problem observed by all scientific intellectuals from Aristotle to Galileo is that modeling the real world is, well, nearly impossible. While dot-diagrams, differential equations & vector calculus bring us closer & closer from theory to reality, it’s clear that an additional degree of complexity lurks.
The Indonesian Caves of Borneo Island offer an insight to the most primitive form of recorded communication. Around some 40,000 years ago, before the evolution of written language, physical illustrations on cave walls were the most precise method of recorded communication.
Studying the history of the world’s most remarkable & accomplished humans never ceases to uncover a healthy lesson or two. And while we usually chronologically cover one protagonist at a time, today, we’re instead comparing & contrasting the twelve polymaths we’ve reviewed across a single vector: that of financial wealth.
Breakthrough progress under a simmering sense of social pressure is quite difficult — a life of breakthrough achievement while facing down overt racism, is something else entirely. And yet to remain an empathic, humanity-first soul among it all is what truly makes Sir Jagadish Chandra Bose, our twelfth-entry in our Young Polymath series, a master of many worth studying.
Have you wondered why there are 60 seconds/minutes in a minute/hour? Or why we decided that a circle is exactly 360 degrees? For the curious cats, it’s likely a common musing that’s piqued your interest at one point or another — our numbering system consistently wraps around ten digits(0–9), except for a few, one-off concepts, why is this?
Network analysis sounds like a clandestine, cyberpunk job tasked to only top NSA & Mossad modelers. However, this concept of mathematically dissecting “networks” is far from new; in fact, its logical origins extend back to the times of the eminent Euler (18th century).
As revered John F. Kennedy so eloquently puts it in the quote above, Thomas Jefferson, the 3rd POTUS, compiled an astounding vast range of knowledge & accomplishments throughout his life. His biographies often narrowed to his historical role as a Founding Father, Thomas Jefferson is unfortunately overlooked as a candidate for “polymath.”
The Fourier Series is a long, intimidating function that breaks down any periodic function into a simple series of sine & cosine waves. It’s a baffling concept to wrap your mind around, but almost any function can be expressed as a series of sine & cosine waves created from rotating circles.
In math there are a few, select, magical constants that transverse all branches. These constants, steadily discovered throughout our collective history, provide the numerical infrastructure to our everyday lives; like chemical elements in the periodic table, special constants in math are foundational.