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Liouville field theory
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1	Differential Equations The subject of ordinary differential equations encompasses such a large field that you can make a profession of it. There are however a small number of techniques in the subject that you have to kn Add to Reading List Source URL: www.physics.miami.edu Language: English - Date: 2012-12-07 14:32:17 Differential calculus Damping Differential equation Bessel function Regular singular point Sturm–Liouville theory Wave equation Mathematical analysis Ordinary differential equations Calculus
2	Submitted exclusively to the London Mathematical Society doi:The Sum of Digits Function of Polynomial Sequences Michael Drmota, Christian Mauduit and Jo¨el Rivat Abstract Add to Reading List Source URL: www.dmg.tuwien.ac.at Language: English - Date: 2010-11-22 04:56:46 Algebraic number theory Normal distribution Field theory Diophantine approximation Commutative algebra Liouville number Quadratic reciprocity Abstract algebra Mathematics Number theory
3	Maejo Int. J. Sci. Technol. 2015, 9(01), Maejo International Journal of Science and Technology ISSNAvailable online at www.mijst.mju.ac.th Add to Reading List Source URL: www.mijst.mju.ac.th Language: English - Date: 2015-03-18 22:28:28 Derivative Differential calculus Lipschitz continuity Continuous function Sturm–Liouville theory Factorization of polynomials over a finite field and irreducibility tests Mathematics Mathematical analysis Ordinary differential equations
4 $Field theory / Diophantine approximation / Number theory / Vector space / Continued fraction / Algebraic number field / Minimal polynomial / Transcendence theory / Liouville number / Algebra / Mathematics / Abstract algebra$	Some experimental approaches to Diophantine approximation problems Keith Briggs research.btexact.com/teralab/keithbriggs.html Add to Reading List Source URL: keithbriggs.info Language: English - Date: 2005-07-05 12:47:01 Field theory Diophantine approximation Number theory Vector space Continued fraction Algebraic number field Minimal polynomial Transcendence theory Liouville number Algebra Mathematics Abstract algebra
5	Liouville’s Theorem on Integration in Terms of Elementary Functions R.C. Churchill Prepared for the Kolchin Seminar on Differential Algebra (KSDA) Add to Reading List Source URL: math.hunter.cuny.edu Language: English - Date: 2005-09-17 14:03:11 Ring theory Algebraic structures Commutative algebra Field theory Differential algebra Polynomial ring Field extension Differential operator Field Abstract algebra Mathematics Algebra
6	The flow of a vector field. Suppose F = P i + Qj is a vector field in the plane1 Associated to F is its flow which, for each time t is a transformation ft (x, y) = (ut (x, y), vt (x, y)) and which is characterized by the Add to Reading List Source URL: www.math.duke.edu Language: English - Date: 2010-11-12 09:03:20 Mathematics Quantum mechanics Linear differential equation Sturm–Liouville theory Differential topology Vector calculus Vector field
7	BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY Volume 51, Number 4, October 2014, Pages 687–690 S[removed][removed]Article electronically published on May 19, 2014 Add to Reading List Source URL: www.ams.org Language: English - Date: 2014-07-25 09:52:47 Diophantine approximation Field theory Transcendental number Liouville number Irrational number Pisot–Vijayaraghavan number Rational number Real number Number Mathematics Elementary mathematics Number theory
8	1 Taming Quantum Amplitudes with Gateset Limitations Ross Rheingans-Yoo Harvard School of Engineering and Applied Sciences, Cambridge, MA (USA) Add to Reading List Source URL: www.scottaaronson.com Language: English - Date: 2014-12-28 11:14:52 Field theory Diophantine approximation Transcendental numbers Liouville number Transcendence theory Valuation Conjugate element Forcing Auxiliary function Mathematics Abstract algebra Mathematical analysis
9	20 Approximation by rationals (Diophantine approximation) We all know that real numbers can be approximated by the rationals pq (with Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2001-06-01 18:03:32 Field theory Field extension Irrational number Transcendental numbers Algebraic number theory Pi Liouville number Algebraic number field Abstract algebra Mathematics Algebra
10 $Field theory / Normal number / Number theory / Rational number / Number / Irrational number / Pi / Liouville number / Continued fraction / Mathematics / Abstract algebra / Elementary mathematics$	Random Number Generation Using Normal Numbers Random Number Generation Using Normal Numbers Michael Mascagni1 and F. Steve Brailsford2 Department of Computer Science1,2 Add to Reading List Source URL: math.nist.gov Language: English - Date: 2014-06-23 11:17:33 Field theory Normal number Number theory Rational number Number Irrational number Pi Liouville number Continued fraction Mathematics Abstract algebra Elementary mathematics

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