2000 pients in tigents
2000 poundes in a ton
2000 perforations in a tea bag
2000 pounds in a ton
p --> q and q --> p are not equivalent p --> q and q --> (not)p are equivalent The truth table shows this. pq p --> q q -->(not)p f f t t f t t t t f f f t t t t
p > q~qTherefore, ~p| p | q | p > q | ~q | ~p || t | t | t | f | f || t | f | t | t | f || f | t | t | f | t || f | f | t | t | t |
4t - 2p
1 t(US) = 2000 lbs1 t(US) = 2000 lbs1 t(US) = 2000 lbs1 t(US) = 2000 lbs1 t(US) = 2000 lbs1 t(US) = 2000 lbs
P Q (/P or /Q) T T F T F T F T T F F T
2000 lb = 1 t(US)2000 lb = 1 t(US)2000 lb = 1 t(US)2000 lb = 1 t(US)2000 lb = 1 t(US)2000 lb = 1 t(US)
Proof: P{T>n+m/T>n}=P{T>n+m,T>n}/P{T>n} (Bayes theorem) =P{T>n+m}/P{T>n} =((1-p)^(n+m))/(1-p)^n = (1-p)^(n+m-n) = (1-p)^m (1-p)^m = {T>m} So T>m has the same probability as T>m+n given that T>n, which means it doesn't care (or don't remember) that n phases had passed.
A. P. T. James was born in 1908.
T. P. Gill died in 1931.