The Collatz conjecture is known to be true up to approx 5.5*10^18 but that does not prove it to be true. In 1972 John Conway proved that Collatz-type problems can be formally undecidable, so there may be no solution.
As of 2017, that's an UNVOLVED PROBLEM. Nobody knows the solution!
A problem and a solution are not synonyms or antonyms, but rather concepts that are related. A problem is a challenge or difficulty that needs to be solved, while a solution is the resolution or answer to that problem. They are not homophones, as they do not sound alike.
It depends on the problem but the solution is always the answer.
Let f be a function that maps integers to integers such that f(x) = x/2 if x is even, and f(x) = 3x + 1 if x is odd. The generalization of the Collatz conjecture is that when creating a sequence by iterating over f, all such sequences eventually end in a cycle.
There is the solution to a puzzle. There is a chemical solution There is an alloy There is a solution to an equation There is a solution to a problem
The Solution is the Answer!°
Lothar Collatz was born in 1910.
Lothar Collatz died in 1990.
The Collatz conjecture
Ferdinand Albert Collatz has written: 'Flour strength as influenced by the addition of diastatic ferments ..' -- subject(s): Amylases, Flour.
Sven Collatz Christensen has written: 'Befolkningens forbrug af sygehusydelser 1966-1978' -- subject(s): Diseases, Hospital utilization, Medical Statistics, Statistics
It is a solution.
Both "solution for" and "solution to" can be used, but they are used in slightly different contexts. "Solution for" is used when referring to a specific problem or situation that needs a resolution, while "solution to" is used when indicating the answer or resolution to a problem or situation. For example, "We need to find a solution for the traffic congestion" or "We found a solution to the math problem."
A solution is the answer to a problem. For example, in a math problem a solution is this: 5w=25 w= 5
Problem: I am cold. Solution: I put on warm clothes. Problem: I am hungry. Solution: I eat a waffle. Problem: I am bored. Solution: I answer questions on answers.com :) Hope I helped! <3
problem and solution
problem and then a solution
The solution to a division problem is called a quotient.