PPT-Lesson 1 Irreducible Complexity

and Information Charles Darwin If it could be demonstrated that any complex organ existed which could not possibly have been formed by numerous successive slight modifications my theory would absolutely break down. and irreducible quadratic factors we can write in the form where the s s and s are constants This is assuming all the factors are distinct and the degree of is smaller than the degree of One way to 64257nd the values of the s s and s is t Intelligent Design’s Abject Failure. First of all. I’m a wannabe. …and not a scientist. …not yet a philosopher either. …I also smell like elderberries when the weather is moist. …and if you can’t understand my accent, then . It has several parts….. Wooden. . base. Hammer . Spring . Bar. . Something is irreducibly complex if:. That work together….. Wooden. . base. Hammer . Spring . Bar. . + . + . = Mouse Trap . + . Irreducible Many-Body . . Casimir. Energies (Theorems). . M. . Schaden. . QFEXT11. Irreducible Many-Body . Casimir. Energies of Intersecting Objects. Euro. Phys. . Lett. . . 94. (2011) 41001. 1. Character table structure. Mulliken. symbols. Order. Basis functions. Properties of Char. Tables. Driving the table. From the rules. From matrix math. Review. 2. Character Table. Two-dimensional table compose of elements and irreducible representations of a point group.. 1. Character table structure. Mulliken. symbols. Order. Basis functions. Properties of Char. Tables. Driving the table. From the rules. From matrix math. Review. 2. Character Table. Two-dimensional table compose of elements and irreducible representations of a point group.. Wooden. . base. Hammer . Spring . Bar. . Something is irreducibly complex if:. That work together….. Wooden. . base. Hammer . Spring . Bar. . . . = Mouse Trap . . To contribute to the basic function. 1. Using Character Tables. Basis Functions. Representations. Reducible. Irreducible. Red. to . Irr. . Reps. Examples. N. 2. H. 2. XeOF. 4. Direct Products. Point Group?. 2. Basis Functions. For molecules/materials:. 1. Using Character Tables. Basis Functions. Representations. Reducible. Irreducible. Red. to . Irr. . Reps. Examples. N. 2. H. 2. XeOF. 4. Direct Products. Point Group?. 2. Basis Functions. For molecules/materials:. Toniann. . Pitassi. University of Toronto. 2-Party Communication Complexity. [Yao]. 2-party communication: . each party has a dataset. . Goal . is to compute a function f(D. A. ,D. B. ). m. 1. m. 2. What is the best way to measure the time complexity of an algorithm?. - Best-case run time?. - Worst-case run time?. - Average run time?. Which should we try to optimize?. Best-Case Measures. How can we modify almost any algorithm to have a good best-case running time?. Lijie. Chen. MIT. Today’s Topic. Background. . What is Fine-Grained Complexity?. The Methodology of Fine-Grained Complexity. Frontier: Fine-Grained Hardness for Approximation Problems. The Connection. Bravais lattice, real lattice vector . R. , reciprocal lattice vector . K. , point group, space group, group representations, Bloch theorem. Discrete lattices. 1D. 2D. 3D. a. Bravais lattice: each unit cell has only one atom (5 types in 2D). Codes Correcting Tandem Duplications. . tUAN THANH NGUYEN. Nanyang Technological . University (NTU), . Singapore. Joint work with:. Yeow Meng Chee. Han Mao Kiah. Johan Chrisnata. Our motivation. Applications .