PPT-Reasoning with invariants

Jordi Cortadella Department of Computer Science Invariants Invariants help to Define how variables must be initialized before a loop Define the necessary condition to reach the postcondition . - Charles Sanders Peirce. Using Models of Reasoning. A Return to Logos. Reasoning from Specific Instances. Progressing from a number of particular facts to a general conclusion. .. This is also known as inductive reasoning.. Microsoft Research. Redmond, WA, USA. Angela Wallenburg. Chalmers University of Technology. G. öteborg, Sweden. Class-local object invariants. 20 Feb 2008. ISEC 2008. Hyderabad, India. Program verification. Pranav. . Garg. University of . illinois. at . urbana-champaign. Joint work with:. . P. . madhusudan. (. uiuc. ),. . christof. . loding. (RWTH . AAchen. ). . daniel. . neider. (RWTH Aachen). Rebecca Wulf. Ivy Tech Lafayette. rwulf@ivytech.edu. . Ben Markham. Ivy Tech Bloomington. bmarkham@ivytech.edu. . Sharon Koch. Ivy Tech Gary. s. koch12@ivytech.edu. . Ivy Tech Community College. 30 . in . Flowpipe. Construction . using Pseudo-Invariants. Stanley . Bak. United States Air Force Research Lab. Information Directorate – Rome, NY. Cyber-Physical Systems. Include computational (discrete) components, and physical-world (continuous) aspects. Task Force. Final Report. 15 September . 2016. Guiding Principle: . Educational Policy must balance access and opportunity to achieve equity.. Recommendation I. Define quantitative reasoning. Recommendation I. A professional development program to help teachers better understand the mathematical reasoning needed for ratio, proportion, and proportional reasoning.. To understand the importance and significance of ratio, proportion, and proportional reasoning in the middle grades mathematics curriculum.. Elizabeth Gordon,. . NBCT. MYP & IB Biology Instructor. Me…. & You…. Middle School? High School?. Biology? Chemistry? Physics? Life Science?. My Dad’s a Space Alien. I . have evidence that proves . Props . A . chocolate bar. 5 paper cups. Invariants. An invariant is something that does not change.. Other names you may be more familiar with are laws, patterns.. Invariants in Maths and Science 1. Ahmed . Khurshid. , . Wenxuan. Zhou, Matthew Caesar, P. Brighten Godfrey. University of Illinois. Presented by Ofri Ziv. November 2013. Outline. Motivation. Design. Evaluation. Example. Conclusion. Motivation. Mimi . Opkins. CECS 100. Fall 2011. Problem Solving. Logic. – The science of correct reasoning.. Reasoning. – The drawing of inferences or conclusions from known or assumed facts.. When solving a problem, one must understand the question, gather all pertinent facts, analyze the problem i.e. compare with previous problems (note similarities and differences), perhaps use pictures or formulas to solve the problem.. Gaunnan Guo. 1. Ironfleet: proving practical distributed systems correct. Chris Hawblitzel, Jon Howell, Manos Kapritsos, Jacob R. Lorch, Bryan Parno, Michael L. Roberts, Srinath Setty, Brian Zill. Presented by Wesley Ma. - Charles Sanders Peirce. On the Radar. Researching the Persuasive Speech Assignment. Due Wednesday on . WebCT. (by 11:59 p.m.). Exam Two. This Friday in Lecture. Study Guide on Course Website. Workshops for the Persuasive Speech. Certain functions of . E. and . H. are invariant under Lorentz transform. The 4D representation of the field is . F. ik. F. ik. . F. ik. = an invariant scalar. (1/2). e. iklm. . F. ik. . F. lm.