PPT-Pattern Formation in Physical Systems: From a Snowflake to

Student Vishesh Verma Stevenson High School Faculty Advisor Professor Shuwang Li Applied Math Department IIT Chicago Crystal Growth Problem Crystal growth problem Is a classical example of a phase transformation from the liquid phase to the solid phase via heat transfer for example the formation of snowflakes. (kevinramus@vandals.uidaho.edu. ),. . K. Baird, C. Gonzalez, G. Wilson, W. . Taresh. , R. Riggs, G. . Korbel. , D. Atkinson, and the Idaho Near Space Engineering Team. University . of . Idaho. Abstract. Two terms. : . Is it a . difference of squares. ? Factor by using: . a. 2. -b. 2. = (. a+b. )(a-b) . Example 1: . 36x. 2. – 49 = (6x). 2. – 7. 2. = (6x-7)(6x+7) . . Example. 2: Factor. a. nd stellar multiplicity. Insights from recent surveys. Gaspard . Duchêne. (UC Berkeley, Obs. Grenoble). © NASA/JPL/Caltech. Planets in multiple systems?. © . LucasFilm. Ltd.. They must exist!. (from SnowCrystals.com) The Snowflake: Winter’s Secret Beauty hey can also be large, perhaps 5mm in ellar dendrite is a single crystal of ice. The molecular ordering of the water molecules is t V. A. Soukhanovskii . Lawrence Livermore National Laboratory. JI2.00002. 52nd Annual Meeting of the APS DPP. Chicago, IL. Tuesday, November 9, 2010. NSTX. Supported by . College W&M. Colorado Sch Mines. Todd Crosslin – CIO. @. JacinthLaval. tcrosslin@pdxinc.com. About PDX. Pharmacy/Patient/Pharmacist as Healthcare Provider. Software and Services. Cloud and On-Premise Offerings. 650 staff. Fort Worth (525). Snowflake Symmetry. Six sided crystals. Snowflakes are all six sided because of their chemistry. Snowflakes are made of water molecules. Water molecules are “polar” – they have an electrical charge. V. A. Soukhanovskii (LLNL). Acknowledgements: . NSTX Team. NSTX Results Review. Princeton, NJ. Wednesday, 1 December . 2010. NSTX. Supported by . College W&M. Colorado Sch Mines. Columbia U. CompX. Types of Systems. Types of Systems. A handheld can opener is a device that makes life easier. . The task of a can opener is quite simple—it must safely remove the lid of a can.. A can opener is an example of a system.. Insights from recent surveys. Gaspard . Duchêne. (UC Berkeley, Obs. Grenoble). © NASA/JPL/Caltech. Planets in multiple systems?. © . LucasFilm. Ltd.. They must exist!. Planets in multiple systems!. Brian E. Brzezicki. Physical and Environmental Security. Physical security is extremely important. There is no point in technical and administrative security controls if someone can simply bypass them from physically accessing systems.. Computing Generations. 1. st. Generation: 1945-1955. Vacuum tube computers. Used magnetic drums. Almost impossible to program, very slow. 2. nd. Generation: 1955-1965. Programming languages, assembly language. Walter de Back,. Fabian Rost,. Lutz Brusch . ZIH,TU Dresden. Kondo . and. . Miura. 2010, Science 329, 1616. . Aims. Translation of the sketch of a mechanism into a mathematical model. Characterisation of pattern forming . to . Phase Field Crystal Model. 吳國安. . (. Kuo. -An Wu). 清華大學物理系. Department . of Physics. National . Tsing. . Hua. University. 3/23/2011. Pattern Formation in Crystal Growth. by Wilson Bentley (The snowflake man), 1885.