Butterfly effect
A butterfly 🦋 moments like flip the wing of the butter at Florida make a cyclone at America this is the theory well know by any one, but in the reality, is don’t make any sense to any and it also impossible. It is just is just an example for the butter effect for better understanding now we will learn what this actually a butterfly effect.
It
says that a small or a neglectable value can also make whole the system to run
in a different way in a different manner. As the scientist Edward Lorenz a meteorologist experienced it in the calculating
of the weather report all the values are run in the programme and the final output
is recorded, again he testes the values for conformation, but this time the
output is completely different. He tries to find the reason at this is and
compared the first one and next one and he understand that he neglected the
numbers after 3 values of decimal point. That He entered the initial condition 0.506
from the printout instead of entering the full precision 0.506127 value. The
result was a completely different weather scenario. And he wrote in his
words
"At one point I decided to repeat some of
the computations in order to examine what was happening in greater detail. I
stopped the computer, typed in a line of numbers that it had printed out a
while earlier, and set it running again. I went down the hall for a cup of
coffee and returned after about an hour, during which time the computer had
simulated about two months of weather. The numbers being printed were nothing
like the old ones. I immediately suspected a weak vacuum tube or some other
computer trouble, which was not uncommon, but before calling for service I
decided to see just where the mistake had occurred, knowing that this could
speed up the servicing process. Instead of a sudden break, I found that the new
values at first repeated the old ones, but soon afterward differed by one and
then several units in the last decimal place, and then began to differ in the
next to the last place and then in the place before that. In fact, the differences
more or less steadily doubled in size every four days or so, until all
resemblance with the original output disappeared somewhere in the second month.
This was enough to tell me what had happened: the numbers that I had typed in
were not the exact original numbers, but were the rounded-off values that had
appeared in the original printout. The initial round-off errors were the
culprits; they were steadily amplifying until they dominated the
solution." (E. N. Lorenz, The Essence of Chaos, U. Washington Press, Seattle (1993), page 134)
As this sense that a very small things are do miracles.
the large system and some many complex theories are based on the small things. This
make the scientist precision calculation’s we need not neglect the small valve
and this is still using in the calculation of quantum mechanics and weathers
and to verify so many formulas and theories. As I hope that you all understand about
the butterfly theory.
Thank you…..
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