PPT-Introduction to Chaos

Clint Sprott Department of Physics University of Wisconsin Madison Presented to Physics 311 at University of Wisconsin in Madison WI on October 31 2014 Abbreviated History Kepler. Barry Smith. http://ontology.buffalo.edu/smith. The more ontology is successful, . the more it will fail. National Center for Biomedical Ontology. http://bioportal.bioontology.org. /. The more we have neat tools like this, the more we will see why chaos looms. Determinism and Randomness . Classical physics is deterministic!. If you know where you started you know where you are going. Randomness:. Quantum randomness is truly random and unpredictable. A lot of randomness is actually complexity and uncertainty. Perturbation theory. Quasi integrable Hamiltonians . Small divisor problem. KAM theorem, . Melnikov’s. integral. Numerical measurements of . Lyapunov. exponents. Nekhoroshev. . Theorm. Chirikov. to Quantum Chaos. Classical chaos:. Not . a theory in the fundamental sense, a . unifying collection . of . concepts, in fact a . dominant theme of classical mechanics that . was missed . for about 200 years!. Daemons of Khorne:+1 Strength on the charge.Hatred (Slaanesh) Daemons of Tzeentch:Re-roll ward saves of 1, Wizards reroll channeling a�empts of 1, Hatred (Nurgle) Have armor piercingHatred The Brown Bag. Hassan Bukhari. BS . Physics . 2012. 墫鱡뱿轺. . Stat . Mech. Project. . “. It is not less important to understand the foundation of such a complex issue than to calculate useful quantities”. A Final Presentation for the Psychology of Happiness Class. By Kay Gilley. , M.S., PCC. Saturday, August 8, 2015. Csikszentmihalyi. “Tragedies Transformed”. Flow. “The patients who learned to master the new challenges of their impaired situation felt a clarity of purpose they had lacked before.” (p. 193). The Christian Faith:. Source of America’s Freedoms. America’s Freedom and Greatness is built upon a Christian . Foundation. 2. 3. 4. 5. Rodney Stark. “How . had the nations that had arisen from the rubble of Rome so greatly surpassed the rest of the world?.... The most convincing answer to those questions attributes Western dominance to the rise of capitalism, which took place only in Europe..... and the standard map. Poincare section and twist maps. .. Area preserving mappings.. Standard map as time sections of kicked oscillator (link with quantum chaos).. Phase portraits of the standard map.. “I . have told you these things, so that in me you may have peace. In this world you will have trouble. But take heart! I have overcome the world.” . . John . 16:33. Finding God in the Chaos. . fantacy. This power point is going to be on Deamons of chaos. All . of the models are going to be shown for . great ideas on a army builder.. Hope you enjoy my power pointy. Flamers of Tzeentch. Flamers of Tzeentch are Daemons that use burning limbs to hurl bolts of yellow and blue magical flame at their foes. This magical fire of Tzeeentch burns not only flesh but reality itself, and its caress can shatter the senses as completely as it chars and burns the body. The Flamers are no less deadly in close combat, where they can use their pyrotechnic powers to burn through armour, flesh and bone with ease. The Christian Faith:. Source of America’s Freedoms. America’s Freedom and Greatness is built upon a Christian . Foundation. 2. 3. 4. 5. Rodney Stark. “How . had the nations that had arisen from the rubble of Rome so greatly surpassed the rest of the world?.... The most convincing answer to those questions attributes Western dominance to the rise of capitalism, which took place only in Europe..... Availability . Model. Adrian Cockcroft. Evolution of Business Logic. Monolith. Microservices. Functions. Splitting . Monoliths . Ten. Years Ago. Splitting . Monoliths . Ten. Years Ago. XML & SOAP. Brian . Ancell. , Allison . Bogusz. , Matthew . Lauridsen. , Christian . Nauert. Texas Tech . University. 11. th. Workshop on Meteorological Sensitivity Analysis and Data Assimilation. July 1-6, .