Mystery of the Integers: Unraveling Prob90

  • Thread starter Thread starter igorronaldo
  • Start date Start date
  • Tags Tags
    Integers Mystery
AI Thread Summary
The discussion centers on understanding the deduction of a table in a puzzle involving integers and player strategies. It highlights that if player X receives an E-triplet, player Y can guarantee that X continues to receive E-triplets in subsequent turns. Consequently, player X must avoid creating an E-triplet to maintain a competitive edge. The confusion arises regarding why player X would not aim to create a non-E-triplet, given the implications for player Y's strategy. Clarifying these strategic interactions is essential to solving the puzzle.
igorronaldo
Messages
9
Reaction score
1
https://www.physics.harvard.edu/uploads/files/undergrad/probweek/prob90.pdf

https://www.physics.harvard.edu/uploads/files/undergrad/probweek/sol90.pdf

This is the puzzle I am trying to understand. Does anybody has any idea how the table on the top of the second page i being deducted?

Some integers are being added and some appear to be randomly substituted...
 
Mathematics news on Phys.org
The first two of these facts show that if player X receives an E-triplet on a given
turn, then player Y can ensure that X receives an E-triplet on every subsequent
turn. Therefore, X must always create a non-E-triplet, by the first of the three
facts.

Why is that?Shouldn't he try to create a non-E-triplet since this is the LP for Y?
 
Thread 'Video on imaginary numbers and some queries'

Thread 'Video on imaginary numbers and some queries'

Hi, I was watching the following video. I found some points confusing. Could you please help me to understand the gaps? Thanks, in advance! Question 1: Around 4:22, the video says the following. So for those mathematicians, negative numbers didn't exist. You could subtract, that is find the difference between two positive quantities, but you couldn't have a negative answer or negative coefficients. Mathematicians were so averse to negative numbers that there was no single quadratic...
View full post »

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »
Thread 'Unit Circle Double Angle Derivations'

Thread 'Unit Circle Double Angle Derivations'

Here I made a terrible mistake of assuming this to be an equilateral triangle and set 2sinx=1 => x=pi/6. Although this did derive the double angle formulas it also led into a terrible mess trying to find all the combinations of sides. I must have been tired and just assumed 6x=180 and 2sinx=1. By that time, I was so mindset that I nearly scolded a person for even saying 90-x. I wonder if this is a case of biased observation that seeks to dis credit me like Jesus of Nazareth since in reality...
View full post »

Similar threads

What Happens if a Visitor Tells Dragons Not All of Them Have Green Eyes?
Replies
10
Views
11K
Ball Rolling Without Slipping On A Turntable
Replies
16
Views
5K
I Can anyone justify this derivation of Stirling’s approximation?
Replies
19
Views
4K
Understanding SARS-Cov-2, Effects of Covid-19 and the Future
Replies
10
Views
3K
B The Paradox of 1 – 1 + 1 – 1 + 1 – 1 + …
Replies
5
Views
2K
I Interesting sound-making hydrogen-burning device
Replies
2
Views
833
FLUKA: Why Does Neutron Flux Increase When Passing Through a Moderator?
Replies
5
Views
3K
A Shinichi Mochizuki's ABC Conjecture and Replication Crisis in Maths
Replies
33
Views
7K
Writing a Paper in Word 2019: Questions & Answers
Replies
3
Views
2K
Mystery of strange radio bursts from space
2
Replies
63
Views
11K

Hot Threads

Recent Insights

Back
Top