A grid with 19 columns is enough. Every column at worst has all 3 colors, one of them used twice. Once we fix that one color, there are C(4,2)=6 ways of filling out the rest of the entries. Since there are 3 colors, there are exactly 6*3=18 worst possible columns. With 19 columns a repetition is guaranteed, yielding the desired rectangle.
For fun, try strengthening the result to a square.
No, I actually mean what I wrote: Not everything that counts can be counted. Take the happiness produced by a piece of software. Can we put a number on it?
Contrast Lord Kelvin: “When you can measure what you are speaking about, and express it in numbers, you know something about it, when you cannot express it in
numbers, your knowledge is of a meager and unsatisfactory kind; it may be the beginning of knowledge, but you have scarely, in your thoughts advanced to the
stage of science.”
And also this doozy writ large in our lives: “If you can’t measure it, you can’t manage it.”
Spitballing here: more land in the US means lower cost to stock cars in dealerships. Also makes it easier to do an impulse purchase with all the easy financing available, compared to the European scenario of waiting for delivery (and possibly changing one's mind).
Car dealerships often sit on prime retail locations. So that vast inventory will often sit in a location close to but not conveniently adjacent to the actual dealer.
> The fear of a legacy (or your ancestors or your lineage) being forgotten is very, very real.
Temple Grandin, decorated autist and celibate, once yearned wistfully about how to pass on the knowledge she has gained over her lifetime.
And who can forget:
“I've seen things you people wouldn't believe. Attack ships on fire off the shoulder of Orion. I watched C-beams glitter in the dark near the Tannhäuser Gate. All those moments will be lost in time, like tears in rain. Time to die.” - Roy, Blade Runner (1982)
To answer obliquely: I observe some men to rage for vengeance at being cuckolded. Subsequently, in an episode of repeat impotence, the bullets rebound on the shooters.
Example: the father may take drugs to relieve the pain. Said father may invite the child to join him, setting up the child for life.
Don't have a dog in this race, but doesn't that certain vegetarian-leaning religion also prohibit violence against human beings? How do the terrorists square such contradictions in their mind? And is that one of the many mysteries driving the narrative in GP's novel forward?
You'll not be surprised to hear that religions all have "national security exceptions" to their non-violence clauses. I offer as evidence: all the crazy religiously motivated violence perpetuated by any long living religions (the truly peaceful ones being beaten to death long ago).
Apparently, the research literature calls this feature Sheet-Defined Functions (SDF). Doesn't it use this result from Microsoft Research UK that was just recently published in ICFP 2020:
Elastic Sheet-Defined Functions: Generalising Spreadsheet Functions to Variable-Size Input Arrays
> I have a topic I’d like to write about. However, I’m getting lost In the weeds and failing to structure my content in an easy to consume way.
Ricocheting from your consumption metaphor, could it be that your topic has enough meat in it that it deserves to be sliced and served over the course of several meals?
The attention economy being the way it is today, articles that succeed in being read observe the rule of thumb of one idea, one message, one piece of writing.
For fun, try strengthening the result to a square.