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Counting problem
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#	Item
31	The Math Forum: Problems of the Week Problem Solving and Communication Activity Series Round 17: Playing When students do the Noticing/Wondering activity, we often have them try to group their noticings into “quantiti Add to Reading List Source URL: mathforum.org Language: English - Date: 2014-02-28 13:47:59 Sheepshead Cluedo Games Counting Mathematical logic
32	DOC Document Add to Reading List Source URL: mdk12.org Language: English - Date: 2012-08-23 15:30:20 Mathematics education Knowledge Mathematical logic Common Core State Standards Initiative Educational psychology Problem solving Victorian Essential Learning Standards Counting Mathematical proof Education Education reform Mathematics
33	DOCX Document Add to Reading List Source URL: www.mdk12.org Language: English - Date: 2012-08-23 15:30:20 Mathematics education Knowledge Mathematical logic Common Core State Standards Initiative Educational psychology Problem solving Victorian Essential Learning Standards Counting Mathematical proof Education Education reform Mathematics
34	Problem. Solved. Leveraging Today’s Technology to Make Voting Systems Usable, Accessible, and Secure Linda Harley, Andrew Baranak, Carrie Bell, Jerry Ray and Brad Fain Add to Reading List Source URL: elections.itif.org Language: English - Date: 2013-03-04 12:47:03 Electronic voting Information society Ballot Absentee ballot Vote counting system Voting system IPad Apple Inc. Sociology Politics Elections Election technology
35	Progress on the Complexity of Counting Problems Jin-Yi Cai University of Wisconsin, Madison Asian Association for Algorithms and Computation Add to Reading List Source URL: pages.cs.wisc.edu Language: English - Date: 2010-12-31 10:46:04 Graph theory NP-complete problems Complexity classes Morphisms Graph coloring Graph homomorphism Matching P versus NP problem Vertex cover Theoretical computer science Mathematics Computational complexity theory
36	Proving Dichotomy Theorems for Counting Problems Jin-Yi Cai University of Wisconsin, Madison May 30, 2009 Add to Reading List Source URL: pages.cs.wisc.edu Language: English - Date: 2010-12-31 10:44:44 Graph homomorphism Matching 2-satisfiability Bipartite graph Counting problem Constraint satisfaction problem Holographic algorithm Graph NP-complete Theoretical computer science Mathematics Graph theory
37	Dichotomy Theorems for Counting Problems Jin-Yi Cai University of Wisconsin, Madison Xi Chen Columbia University Add to Reading List Source URL: pages.cs.wisc.edu Language: English - Date: 2011-07-11 20:52:11 Graph theory Computational problems NP-complete problems Constraint programming Graph coloring 2-satisfiability NP-complete Graph homomorphism Constraint satisfaction problem Theoretical computer science Mathematics Computational complexity theory
38	COUNTING LATTICE VECTORS DENIS XAVIER CHARLES Abstract. We consider the problem of counting the number of lattice vectors of a given length and prove several results regarding its computational complexity. We show that t Add to Reading List Source URL: pages.cs.wisc.edu Language: English - Date: 2005-01-20 18:37:07 Quadratic forms Lattice points Lie groups Cryptography Linear algebra Lattice Unimodular lattice Modular form Vector space Algebra Mathematics Abstract algebra
39	Fraction Counting Problem Brian Rothstein December 27, 1999 1 Add to Reading List Source URL: www.ugcs.caltech.edu Language: English - Date: 2007-09-20 19:32:04 Greatest common divisor Fundamental theorem of arithmetic Integer factorization algorithms Least common multiple Extended Euclidean algorithm Mathematics Number theory Euclidean algorithm
40	References [1] M. Agrawal, N. Kayal, and N. Saxena. PRIMES is in P. Ann. of Math. (2), 160(2):781–793, [removed]L. V. Ahlfors. Complex Analysis. McGraw-Hill Book Co., New York, third edition, 1978. An introduction to Add to Reading List Source URL: www.math.brown.edu Language: English - Date: 2008-03-20 11:42:48 Elliptic curves Public-key cryptography Elliptic curve cryptography NTRU Elliptic Curve DSA Lattice problem Counting points on elliptic curves Hyperelliptic curve cryptography Elliptic curve Cryptography Post-quantum cryptography Finite fields

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