Chaos theory and the sensitive dependence on initial conditions was described in the literature in a particular case of the three-body problem by Henri Poincaré in 1890.

Category: Chaos theory

* Chaos theory, the study of the behavior of dynamical systems that are highly sensitive to initial conditions

* Chaos theory

* Chaos theory

So the Mentat is not a purely " left brain " type of intelligence with only a simplistic-autistic cognition, they are profoundly aware of nuance, subtlety and the kind of " sensitivity to initial conditions " which is studied in Chaos theory.

* Mathematics: Approximation theory — Arakelov theory — Asymptotic theory — Bifurcation theory — Catastrophe theory — Category theory — Chaos theory — Choquet theory — Coding theory — Combinatorial game theory — Computability theory — Computational complexity theory — Deformation theory — Dimension theory — Ergodic theory — Field theory — Galois theory — Game theory — Graph theory — Group theory — Hodge theory — Homology theory — Homotopy theory — Ideal theory — Intersection theory — Invariant theory — Iwasawa theory — K-theory — KK-theory — Knot theory — L-theory — Lie theory — Littlewood – Paley theory — Matrix theory — Measure theory — Model theory — Morse theory — Nevanlinna theory — Number theory — Obstruction theory — Operator theory — PCF theory — Perturbation theory — Potential theory — Probability theory — Ramsey theory — Rational choice theory — Representation theory — Ring theory — Set theory — Shape theory — Small cancellation theory — Spectral theory — Stability theory — Stable theory — Sturm – Liouville theory — Twistor theory

Shool then explains that Corum's ill fortune has been caused by the Chaos God Arioch, the Knight of the Swords.

Rhalina is taken hostage by the forces of Chaos and Corum has several encounters with the forces of Chaos, including Earl Glandyth-a-Krae.

In the United States the first trilogy has been published as Corum: The Coming of Chaos.

In Pistis Sophia Yaldabaoth has already sunk from his high estate and resides in Chaos, where, with his forty-nine demons, he tortures wicked souls in boiling rivers of pitch, and with other punishments ( pp. 257, 382 ).

After the speaker declares that he has received the blessings of the Muses and thanks them for giving him inspiration, he explains that Chaos arose spontaneously.

Ultimately, Elric's reliance on Stormbringer proves his undoing: after the utter destruction of the Young Kingdoms in the battle of Law and Chaos, just as it seems that the cosmic Balance has been restored, Stormbringer kills Elric, transforms into a humanoid demon, and leaps laughing into the sky, to corrupt the newly-remade world once more.

The ancient Greek poet Hesiod has in his account of the birth of the gods and creation of the world ( i. e., in his Theogony ) that Chaos begot the primordial deities: Eros, Gaia ( Earth ) and Tartarus, who begot Erebus ( Darkness ) and Nyx ( Night ), and Plato echoes this genealogy in the Timaeus 40e, 41e where the familiar Titan and Olympian gods are sired by Heaven and Earth.

Merlin has been studying computer science on Earth while constructing a secret project called Ghostwheel, a sentient computer based on the Trumps that Merlin hopes will be able to locate Corwin, who vanished after visiting the Courts of Chaos in the previous novel.

In the Courts of Chaos, Merlin uses Ghostwheel ( which has by now traversed the Logrus as well as the Pattern ), his own Spikard, and all his magical powers in the final fight for survival: finally declaring-and forcing Dara and Mandor to accept-that although he did not want to rule, if forced to do so, it will not be as anyone's puppet.

This war left the Emperor crippled and dying and he has since been immobile on the Golden Throne, a comprehensive life-support apparatus that sustains the remaining living cells of his body as he uses his vast psychic powers to combat the Gods of Chaos and help guide ships safely through the warp.

More recently, she has appeared with the Fifth Doctor in The Chaos Pool, the final part of the Key 2 Time trilogy, where it is revealed that Romana's regeneration was at least partly caused by her transformation into the new sixth segment of the Key to Time, the audio concluding with the segment's essence being transferred back to Astra to save Romana's life before the Doctor destroys the Key for good.

In Sonic the Hedgehog 3, Dr. Robotnik's Death Egg has lost its ability to fly after crash-landing on the Floating Island, and only the power of the Chaos Emeralds can repair the ship.

" Blending epic atmospheres and relentless brutality, ' Honour Amongst Chaos ' reflects the heart and soul of pagan warriors worldwide Waylander's debut album, Reawakening Pride Once Lost, has been re-released by Midhir Records on CD and vinyl.

More recently he has worked with the band Nightrage, but shortly after their second album Descent into Chaos was released in 2005, Lindberg left the band so that a more full-time vocalist ( Antony Hämäläinen ) could accompany them on tours and studio albums.

Occasionally, the use of these terms in reference to " alternative " spirituality or in an occult context implies the use of violence to assert these changing religious views – for example, in the book Lords of Chaos a rash of church burnings across Scandinavia has been described as a part of this trend because many of the perpetrators were self-described " pagans " seeking to overthrow what they deemed to be centuries of religious oppression by Christianity.

Games Workshop sued over the similarities, but later announced that Cyanide Studios had been granted a license to create computer games based on Blood Bowl, and that " Any differences between Games Workshop and Cyanide have been amicably settled for an undisclosed sum, and as part of the settlement the Chaos League title has been assigned to Games Workshop ".

The main antagonist of the game is Eggman, who has formulated a new plan to conquer the planet, this time not relying on his robots alone, but employing a strange liquid creature known only as Chaos.

Dr. Robotnik orders his E-Series robots, including E-102 Gamma, to search for Froggy, a frog who has eaten Chaos's tail as well as a Chaos Emerald.

Here, they fight Chaos, who now has all but one of the seven Chaos Emeralds.

Pages from " top secret documents " written by Fanatik J for The REAL Return of Dr. Octagon Mix Tape reveal a storyline in which Dr. Dooom's influence over Los Angeles has grown, and Dooom and a " Hybrid " set out to resurrect the long deceased Octagon as part of " a final bid for total Industry Chaos ".

The Marxian mathematicians Emmanuel Farjoun and Moshé Machover argue that " even if the rate of surplus value has changed by 10-20 % over a hundred years, the real problem explain is why it has changed so little " ( quoted from The Laws of Chaos ; A Probabilistic Approach to Political Economy ( 1983 ), p. 192 ).

Kwll later locates Corum and advises that all the gods-both Chaos and Law-have been killed in order to free humanity and allow it to shape its own destiny.

Several of the Fighting Fantasy titles have been released as video games, including seven Fighting Fantasy titles ( The Warlock of Firetop Mountain, The Citadel of Chaos, The Forest of Doom, Temple of Terror, Seas of Blood, Appointment with F. E. A. R.

It was co-directed by Michael Fengler ( the friend who had been his cameraman on the short film The little Chaos in 1967 ).

Merlin returns to his birthplace in the Courts of Chaos in order to solve the existential riddle in which he is involved-to find that he is suddenly a lot closer to the throne of Chaos itself than he thought, King Swayvill having finally died of a long-standing illness ( aggravated, it is said, by the death curse of Eric of Amber ), and many other candidates having either been assassinated or dropped out, which pushes his own house of Sawall unexpectedly to the forefront.

A second complete Pattern also exists having been created by Corwin using the Jewel of Judgment in The Courts of Chaos.

Corwin contacts Gérard via Trump, and learns that because of the time differential between Amber and Chaos he has been missing for eight days.

* The Lords of Order and Chaos: These two groups of magical beings have been fighting against each other since the beginning of time, and they often empower others ( with " Order Magic " or " Chaos Magic ") in exchange for their acting as their agents.

Taim has begun to style himself " the M ' Hael ", leader of the Tower, although his true intentions have yet to be revealed ; it is speculated he is a Darkfriend ( this is supported by his using of the phrase, " Let the Lord of Chaos rule ," which is a command from the Dark One ), although it has been stated by the author that he is not Demandred ( a favorite theory among many readers ).

Many races have fallen to, or been engendered by Chaos.

: In one sense, they are the " kissing cousins " of the Primordials: they are primeval beings whose existences precede and are not bound by the physical reality of Creation ; their native Essential Chaos having been statically frozen as the Primordials formed Creation in the midst of it.

Sensing that these other, native intelligences of Chaos had been snuffed out in the Creation of inanimate elements, Autochthon took posthumous pity on them, and, salvaging whatever it could discern of their prior selves, resurrected them – still formed of the earthen materials they had calcified into, but alive, and with at least a glimmering memory of the intelligent entities they had once been.

However, Ceiphied was so exhausted by this that he himself sank into the Sea of Chaos, leaving four parts of himself in the world.

He discovers that the Chao he once was guardian of now live in Station Square, so he leaves them on Earth to live there, while Chaos himself peacefully departs to the past with Tikal.

As a writer, he says he has no intention whatsoever of using his imagination ; rather, he wants to chronicle his present life, which in turn is fuelled by his most ambitious literary project so far, the completion of a trilogy entitled Countdown to Chaos.

Corwin's orders are to hellride towards Chaos as fast as possible, so that the others will be able to use the Jewel in the final battle with Chaos.

As the metaphysical storm approaches Chaos, Corwin decides that Oberon must have failed, so he plants his staff and begins to use the Jewel to inscribe a new Pattern.

Magic is too powerful in the physical world, where harnessing magic can distort and even destroy reality if not properly controlled ( i. e.: if the Lord of Order succumbs to certain events so will the Lord of Chaos ).

Just as the abyss, the deepest deep, was the place for Chaos and Death, so God's temple belonged on the high mountain.

He learns that they can travel anywhere using large rings, so he decides to exploit them by turning them into robots to help him search for the Chaos Emeralds.

By winning the stage, the player receives a Chaos Emerald, although there is only one emerald per stage, so the same stage cannot be repeated for multiple Emeralds.

The boys refuse to let Butters play, so he becomes his alter ego, Professor Chaos, and sets off to fight them in a stylized anime sequence.

The graphic novel The Age of Chaos, written by Colin Baker ( who played the Sixth Doctor ) revealed that Frobisher and the Sixth Doctor visited Peri's descendants several times, so Frobisher must have rejoined the Doctor after Trial in an unseen story.

Doing so will break the morale of the Chaos worshippers and enable the Imperial forces to recapture Ouranberg with greater ease.

Discovering the Chaos Bringer's presence on prehistoric Earth, in the time of the Beast Wars, the Hunter-Shokaract's identity at the time-created a container similar to the Matrix of Leadership to hold Unicron's life force so he could carry it around to grant him power.

They are so underhanded that normal Greenskins refuse to have dealings with them but are used by the Chaos Dwarfs.

After Emperor Magnus the Pious ascends the throne, it is discovered that Wyrdstone, once believed to have all manner of beneficial properties, is actually a creation of Chaos, and so its use is outlawed.

* The Halloween comic book series, published by Chaos Comics in 2001, bridged the continuity between Halloween: The Curse of Michael Myers and Halloween H20, but in doing so made the plot of Halloween: Resurrection ( unreleased at the time ) impossible.

His territory in the Realm of Chaos is a great library in the Impossible Fortress at the center of a crystalline labyrinth ; constantly shifting and changing, so that none who enter it will ever escape with their sanity.

Certain Chaos Space Marines, notably Abbadon, will bind his daemons in such a way so that they possess little free will.

Likewise, the Logrus seeks to destroy Corwin's Pattern, since it represents an additional artifact of Order against Chaos ( although not in accord with the Order of Amber's Pattern ) — but equally cannot do so without the risk of a counter-stroke from Amber's Pattern.

His " Golden Shower " fatality ( where Chaos dissolves the flesh from his victim with a jet of acidic urine ) was deemed so disgusting that the game was pulled from the market and replaced with a version with this fatality censored.