PPT-Cantor Set Simulation

Wingyee Lee Wing EPS 109 Fall 2012 Generated by removing the middle third of a line every time Fractal dimension Fractal dimension is less than 1 because at the end there will be no lines left but all points between a line and a point. Raymond Flood. Gresham Professor of Geometry. Georg Cantor . 1845 . – . 1918. Cantor’s infinities. Bronze . monument . to Cantor in . Halle-Neustadt. Georg Cantor . 1845 . – . 1918. Sets. One-to-one correspondence. . Born: March 3, 1845 . Died: January 6,  1918 . Georg Cantor lived at the end of the 19th century and early 20th century. This is a time period in both mathematics and the world that is referred to as "the age of abstraction". Ideas and philosophies were changing from the concrete to the abstract. This could be seen in many fields along with mathematics. In economics abstract notions of different types of economies such as communism were described Marx And Engle and capitalism was described by Adam Smith. The world of art was changing to a more abstract form. Artists moved from being a "camera" that could reproduce what the human eye could see to having an abstract eye. For example the works of  Cezanne, Van Gogh and Gauguin differed greatly from the works of Monet. Mathematicians began to cross the gap of what visual or physical reality would dictate, such as the innovation of . Infinity. What is a set?. A . set. as any collection of well-defined objects, which we usually denote with . { } . .. 1. π. -12.652. 2. 3. ,. ,. ,. …, -2, -1, 0, 1, 2, …. Finite sets. We say a set is . a . Metamath. Formalization. Mario CARNEIRO. 22 July 2015. What is . Metamath. ?. A computer language for representing mathematical proofs. The . Metamath. spec is two pages, one verifier exists . in ≈300 lines . Dieter Jaksch. Outline. Lecture 1: Introduction. What defines a quantum simulator? Quantum simulator criteria. Strongly correlated quantum systems.. Lecture 2: Optical lattices. Bose-Einstein condensation, adiabatic loading of an optical lattice. Dr. X. Topics. M/M/1 models and how they can be used . Simple Queuing Systems. Time-varying parameters. Simulation parameters when measurements are not available. Appreciation of cost/benefit tradeoffs of a simulation. Limits of . Computation (optional). Survey!. History of (Theoretical) Computing. Cantor and infinities. Bertrand Russell and self-reference. Godel. and Incompleteness. Turing and the Halting Problem. Monte . carlo. simulation. 1. Arwa Ibrahim Ahmed. Princess Nora University. EMPIRICAL PROBABILITY AND AXIOMATIC PROBABILITY. :. 2. • The main characterization of Monte Carlo simulation system is being . Summer (Xia) Hu. Sean Barnes. Bruce Golden. University of Maryland, College Park. 1. Jul. 31 2015. Emergency Department (ED) Crowding. 2. Critical challenge . to operational . efficiency. Increase in ED visits, decrease in ED number . Improving Driver Ability to Avoid Collisions When Following a Snowplow. Michele Olsen, . Siddharth. . Deokar. , . and Peter . Willemsen. Department of Computer Science. University of Minnesota Duluth. in design . process. Teet Tark. Hevac OÜ. Chairman of the Board. -Architecture. Structure – Electrics . HVAC-. 1800…1980. 1970…1995. 1990…2010. 2000…. Calculations. Drawings. Calculations. Week . 11: Consequences. (Hilbert, 1922). Overview. In this session we look briefly at three results about infinity:. Cantor’s Theorem . tells us that classical set theory guarantees not only one infinity but an endless chain of them. It seems to be impossible to keep infinity “limited”.. Joanie Selman, MSN, RN. Med-. Surg. Course Coordinator. DeWitt School of Nursing. Stephen F. Austin State University. Background. DeWitt School of Nursing at . Stephen F. Austin State University. Nazire Ata. Presentation for Cmpe220. Early. . lıfe. Born. in 1845 in Saint Petersburg, Russian . Empire. Moved. . to. Germany in 1856. Graduated. . from. . Realschule. . Darmstadt. in 1860.