PPT-Exponential Decay of Correlations Implies Area Law

Fernando GSL Brand ão ETH Zürich Based on joint work with Michał Horodecki Arxiv12062947 Q Hangout February 2012 Condensed matter version of the talk Finite correlation length implies correlations are short ranged. Correlation Objectives i Calculate correlations i Calculate correlations for subgroups using split file i Create scatterplots with lines of best fit for subgroups and multiple correlations Correlation The first infer Correlation Objectives i Calculate correlations i Calculate correlations for subgroups using split file i Create scatterplots with lines of best fit for subgroups and multiple correlations Correlation The first infer Pasring. Reporters: R98922004 . Yun-Nung. Chen,. R98922033 Yu-Cheng Liu. Reference. Ming Actor Correlations with Hierarchical Concurrence Parsing (ICASSP 2010). Kun Yuan, . Hongxun. Aditi. . Sen. (De). Harish-Chandra Research Institute, India. Monogamy of Quantum Correlations. Aditi. . Sen. (De). Harish-Chandra Research Institute, India. Co-workers: . Asutosh. , . Salini. , . Exponential Function. f(x) = a. x. . for any positive number . a. other than one.. Examples. What are the domain and range of. . y = 2(3. x. ) – 4?. What are the. roots of . 0 =5 – 2.5. x. ?. This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License. . Skills. : none. C. oncepts. : linear growth, exponential growth, linear scale plot, logarithmic scale plot, “hockey . Pasring. Reporters: R98922004 . Yun-Nung. Chen,. R98922033 Yu-Cheng Liu. Reference. Ming Actor Correlations with Hierarchical Concurrence Parsing (ICASSP 2010). Kun Yuan, . Hongxun. Appreciation & depreciation. 8. What you Should Learn. I can interpret coefficients and exponents in the context of the problem.. I can model and solve growth (appreciation) and decay (depreciation) problems.. RULE-. Exponential Growth. Modeling Exponential Growth . In 1998, a certain town had a population of about 13,000 people. Since 1998, the population has increased about 1.4% a year.. Write an equation to model the population increase.. Date: ______________. Warm-Up. Rewrite each percent as a decimal.. 1.) 8% 2.) 2.4% 3.) 0.01%. 0.08 0.024 0.0001. Evaluate each expression for x = 3.. 4.) 2. x. 5.) 50(3). x. 6.) 2. 8. What you Should Learn. I can interpret coefficients and exponents in the context of the problem.. I can model and solve growth (appreciation) and decay (depreciation) problems.. Exponential Growth. Exponential Growth. Exponential growth. occurs when an quantity increases by the same rate . r. in each period . t. . When this happens, the value of the quantity at any given time can be calculated as a function of the rate and the original amount. . Calibration from Integral Data. A.Trkov. , . R.Capote. , O. Cabellos. IAEA, Vienna, Austria. ETSII/UPM Madrid, Spain. Background. Current IAEA CIELO . covariances. based on measured differential data lead to large uncertainties in criticality benchmarks (. All slides in this presentations are based on the book Functions, Data and Models, S.P. Gordon and F. S Gordon. ISBN 978-0-88385-767-0. Fitting Data to An Exponential Function. Although Linear Regression is a powerful tool, not all relationships between two quantities are linear. (See scatterplots in figure 5.28).