A Note on Extracting Randomness from Santha-Vazirani Sources Omer Reingold∗ Incumbent of the Walter and Elise Haas Career Development Chair Department of Computer Science Weizmann Institute of Science

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Randomness and Divine Action: Exploring the Frontiers

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Numerical approximation of random PDEs: advances and challenges Fabio Nobile (EPFL) Partial differential equations with random coefficients and input data (random PDEs in short) arise in many applications in which the da

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• Partial differential equations
• Multivariable calculus
• Differential equation
• Collocation method
• Elliptic partial differential equation
• Randomness

600_Evaluating the Benefits of Stochastic Optimization for Hydro Assets.pdf

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• Operations research
• Statistical randomness
• Mathematical optimization
• Stochastic optimization
• Stochastic
• Mathematics
• Quantitative analyst
• Economic model
• Option
• Business
• Economy

WEAK QUASI-RANDOMNESS FOR UNIFORM HYPERGRAPHS ˆ. P HAN, ` DAVID CONLON, HIE YURY PERSON, AND MATHIAS SCHACHT Abstract. We study quasi-random properties of k-uniform hypergraphs. Our

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NO “Randomness means different things in various fields. Commonly, it means lack of pattern or predictability in events.”

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Discussion of “Four Case Studies on Chance in Evolution”: Philosophical Themes and Questions Roberta L. Millstein†‡ The four case studies on chance in evolution provide a rich source for further philosophical ana

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• Biology
• Population genetics
• Indeterminism
• Genetic drift
• Genetic hitchhiking
• Evolution
• Microevolution
• Natural selection
• Randomness
• Neutral theory of molecular evolution
• Fixation
• Molecular evolution

Extracting Randomness via Repeated Condensing∗ Omer Reingold† Ronen Shaltiel‡ Avi Wigderson§

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Lecture 4: Randomness Topics for today: Pseudo-Random Number Generators (PRNGs), Extractors Pseudo-Random Number Generators (PRG/PNRG/CS-PRNG)

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Extracting all the Randomness and Reducing the Error in Trevisan’s Extractors∗ Ran Raz† Omer Reingold‡

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