@CAndrewFrank@howie_hua I did the same, but I exaggerated a little more than you...
A gazillion divided by basically a gazillion tends toward one
Basically four divided by basically zero tends to infinite.
So going smaller gets bigger => greater than four
@chesscom White e pawn captures Black f pawn, promotes to dark bishop. Black d pawn captures light square bishop. Not checking tempos, but I think yes.
@lachancenaomi27 JK Rowling is wonderful, but she's not really an analog to Hemmingway or Kerouac. Different era, different audience. Toni Morrison is a good pick. Keep her and add Edith Wharton and Flannery O'Conner or Sylvia Plath.
@mcuban Still sets the cost of healthcare for a family of five at $25K per year. Median income in the US is around $75K, so you're committing 33% of income to a fixed healthcare cost (and possibly retirement). Need to get that number down.
@peteorourke1969@ConfoundedSoc@pickover You are correct about the three possible outcomes, but they do not all have the same probability of happening. When you buy a lottery ticket, you either win or you don't but that doesn't mean your odds are 50/50.
@IQTestBrain Everyone getting 10, but the answer is 10 or -10. The equations both work with Bucket=6 Shovel=4 or Bucket=-4 Shovel=-6.
Nothing in the equations implies these have to be positive numbers.
@QueenAnticommie This is actually discussed by math scholars. Is math invented or discovered? Or is that difference just semantics? Stephen Hawking has a book called "God Invented the Integers" that touches on this subject. 2+2 does not, btw, always equal 4. In base 3, 2+2=11.
@elonmusk There are projects like this already using "bored" pcs. For example looking for pseudo-primes. @grok can you suggest some other examples of crowd sourcing voluntary pc processing time going to solve big problems?
@pickover I get 7/64 or just under 11%. Helps to work backwards from 11-1 (5 and 4 are out of order), so you know your odds at the next step after each junction. E.g. 11 is 0%, 8 is either 100% or 0%, so 50% (1/2). That means 6 is either 1/2 or 0, so 1/4 (25%). etc.
@CheLouPhysiMath@pickover I like this proof. At the same time, the proof does not work for any finite string of pi. Which means for any number N = the first n digits of pi, pi can contain N. And this is true as N approaches infinite. Not sure but I think the axiom of choice resolves the contradiction
@pickover This is because (n^3 - 1) = (n - 1)(n^2 + n + 1).
For 1^3, this means (1-1)=(0)(2)
For 2^3 this means 8 = (1)(7)
For any other n^3, we get (n^3 - 1) equal to the product of two integers greater than one. Therefore (n^3 - 1) is never prime when n>2.
@WellBuiltStyle Not sure about the black tie on black, but Idris looks pretty good in that pic. I don't think a white shirt would improve the look at all.
@pickover I appreciate that order of operations applies - often not the case in these sorts of puzzles. I won't post the answer, but the first number I placed conclusively was 6.
@dieworkwear "Fit" here means a "V Taper." Broader shoulders tapering to a slimmer waste (creating a V shaped torso). You have referenced this concept as how a blazer should fit; so the idea is that men who's natural shape matches the ideal fit require less tailoring tricks to look right.
@abensortofguy @BarackObama Very easy to throw shade, but there are a some good books on your list. I would like to see Obama suggest more fiction titles; its nice that you list more. But the criticism is also fair - none of these was released this century, let alone this year.