Chaos theory is an interdisciplinary area of scientific study and branch of mathematics. It focuses on underlying patterns and deterministic laws of dynamical systems that are highly sensitive to initial conditions. These were once thought to have completely random states of disorder and irregularities. Chaos theory states that within the apparent randomness of chaotic complex systems, there are underlying patterns, interconnection, constant feedback loops, repetition, self-similarity, fractals and self-organization. The butterfly effect, an underlying principle of chaos, describes how a small change in one state of a deterministic nonlinear system can result in large differences in a later state (meaning there is sensitive dependence on initial conditions). A metaphor for this behavior is that a butterfly flapping its wings in Brazil can cause a tornado in Texas.
Small differences in initial conditions, such as those due to errors in measurements or due to rounding errors in numerical computation, can yield widely diverging outcomes for such dynamical systems, rendering long-term prediction of their behavior impossible in general. This can happen even though these systems are deterministic, meaning that their future behavior follows a unique evolution and is fully determined by their initial conditions, with no random elements involved. In other words, the deterministic nature of these systems does not make them predictable. This behavior is known as deterministic chaos, or simply chaos. The theory was summarized by Edward Lorenz as:
Chaos: When the present determines the future but the approximate present does not approximately determine the future.
My philosophy is to read new things once. If I don’t understand them, then read again. If that doesn’t clarify, it simply means my intelligence level is not on a par with the writer’s and I need to find my level.
Nowadays, these comic are about it. Once and done for most. Twice for the odd ones. Age does bring clarity in some things.
Ratkin Premium Member 6 months ago
I like the section that just says “Books.” It has a certain free-ranging spontaneity to it.
Yakety Sax 6 months ago
Chaos theory is an interdisciplinary area of scientific study and branch of mathematics. It focuses on underlying patterns and deterministic laws of dynamical systems that are highly sensitive to initial conditions. These were once thought to have completely random states of disorder and irregularities. Chaos theory states that within the apparent randomness of chaotic complex systems, there are underlying patterns, interconnection, constant feedback loops, repetition, self-similarity, fractals and self-organization. The butterfly effect, an underlying principle of chaos, describes how a small change in one state of a deterministic nonlinear system can result in large differences in a later state (meaning there is sensitive dependence on initial conditions). A metaphor for this behavior is that a butterfly flapping its wings in Brazil can cause a tornado in Texas.
Small differences in initial conditions, such as those due to errors in measurements or due to rounding errors in numerical computation, can yield widely diverging outcomes for such dynamical systems, rendering long-term prediction of their behavior impossible in general. This can happen even though these systems are deterministic, meaning that their future behavior follows a unique evolution and is fully determined by their initial conditions, with no random elements involved. In other words, the deterministic nature of these systems does not make them predictable. This behavior is known as deterministic chaos, or simply chaos. The theory was summarized by Edward Lorenz as:
Chaos: When the present determines the future but the approximate present does not approximately determine the future.
Contd
rgcviper 6 months ago
Chaos theory makes me think of Ian Malcolm from Jurassic Park.
ᴮᴼᴿᴱᴰ2ᴰᴱᴬᵀᴴ 6 months ago
don’t know much about history
don’t know much biology
don’t know much about a science book
don’t know much about the French I took
♫♪
c001 6 months ago
> A metaphor for this behavior is that a butterfly flapping its wings in Brazil can cause a tornado in Texas.
But this doesn’t seem to work, regarding the very different numbers of flapping butterflies and tornadoes.
PraiseofFolly 6 months ago
CONTROL never completely defeated KAOS.
Doug K 6 months ago
Looks more like Applied Chaos (rather than in theory).
Sïr Sårçåsm SHÅDDÜP 6 months ago
Wow… Too much order, we need a little more chaos in our lives!
dbrucepm 6 months ago
apple spinoff uses kumquat operating system, k-os
Lotus 6 months ago
I don’t worry about Kaos and its theory because agents 86 and 99 are on the job.
sandpiper 6 months ago
My philosophy is to read new things once. If I don’t understand them, then read again. If that doesn’t clarify, it simply means my intelligence level is not on a par with the writer’s and I need to find my level.
Nowadays, these comic are about it. Once and done for most. Twice for the odd ones. Age does bring clarity in some things.
uniquename 6 months ago
As long as we’re being a little mathy, it looks like some order theory needs to be applied to the right side there.
Ivan the Terrible 6 months ago
TMI!!
Frank Burns Eats Worms 6 months ago
“Everyone must havoc code they can live by.”
moondog42 Premium Member 6 months ago
If it really IS the chaos theory section, if you go far enough back behind the utter randomness, an organized order will appear out of nowhere
kathleenhicks62 6 months ago
It isn’t worth reading.
InTraining Premium Member 6 months ago
Note that the books on Philosophy and Chaos Theory are getting mixed together…!
norphos 6 months ago
Hilarious!