PDF-Properties of Lazy Algebraic Datatypes

N University of Cambridge new construction of a finite set of strictness properties for any lazy alge braic datatype is presented The construction is based on the categorical view of the solution. Goal: Use problem solving strategies to solve real-life problems.. Definitions. :. Verbal Model. : the equation written in words.. Algebraic Model. : a mathematical statement written from a verbal model.. K1066BI – . Graphical. Design. Teppo Räisänen. Teppo.raisanen@oamk.fi. Typography. From. . Greek. . words. . τύπος. (. typos. ) = . form. . γραφή. (. graphy. ) = . writing. It. is the . aka. . deferred execution. aka. call-by-need. What should / does this do? . f n = [ 2*n, g n ] . where. g x = <wildly expensive or . erroneous computation>. ----------------------------------. OWL 2 . Based on material taken from. :. Ian . Horrocks. , “OWL 2: The Next Generation”, . London Semantic Web . Meetup. Group. , October 13, 2009. .. http. ://. www.cs.ox.ac.uk/people/ian.horrocks/Seminars/download/OWL2-overview.ppt. Data. . S. tructures. Purely. . functional. car. . cdr. never. . modify. only. . create. new pairs. only. . DAGs. [C. . Okasaki. , . Simple and efficient purely functional queues and . deques. Unlock stories by generalising . number properties. ANDREW WILES. Why is this man so famous?. Fermat’s last theorem. No positive . integers satisfy the equation:. . n > 2.  . On doing mathematics…. SWBAT write an algebraic expression from a written expression.. Do Now. Lauren bought a DVD at Best Buy. The store was having a special with DVDs 10% off. If she got the DVD for $18, what was the original price of the DVD?. Data. . S. tructures. Purely. . functional. car. . cdr. never. . modify. only. . create. new pairs. only. . DAGs. [C. . Okasaki. , . Simple and efficient purely functional queues and . deques. Unit 7 – Writing Algebraic Expressions with Addition and Subtraction. Vocabulary. Expressions. - A mathematical representation containing numbers, variables, and operation symbols; an expression does not include an equality or inequality symbol.. Randolph County. Kim Buckman. LIMITED COLLECTOR’S EDITION . presents. T. HE. P. ROBLEM. THEY KNEW THEY WERE SUPPOSE TO GO HOME AND LOCK THE DOOR UNTIL MOM OR DAD GOT BACK BUT HOW COULD THEY KEEP BUSY???!!!???. Translate each into an algebraic expression:. Two more than a number. . n. = number. 2+n. Translate each into an algebraic expression:. Two less than a number. n. = the number. n. -2. Translate each into an algebraic expression:. Representations . and . Proof. Learning Focus. Participants will:. deepen mathematical content knowledge of algebraic reasoning. develop awareness of key concepts associated with algebraic reasoning, . Procedures. Conclusions. Future Work. Objectives. Results. Research Undergraduate:. Joshua Walters. Advisor:. Dr. Michael West. Impact. Acknowledgements:. Thanks to the National Science Foundation grant # 0852057 . The quick brown fox jumps over the lazy dog. The quick brown fox jumps over the lazy dog. The quick brown fox jumps over the lazy dog. The quick brown fox jumps over the lazy dog. The quick brown fox jumps over the lazy dog. .