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Elements of Algebra
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11	UNIMODULARITY OF INVARIANT RANDOM SUBGROUPS IAN BIRINGER AND OMER TAMUZ Abstract. An invariant random subgroup H ≤ G is a random closed subgroup whose law is invariant to conjugation by all elements of G. When G is loc Add to Reading List Source URL: people.hss.caltech.edu Language: English - Date: 2015-06-02 10:42:42 Mathematics Algebra Mathematical analysis Topological groups Lie groups Geometric group theory Group theory Fourier analysis Amenable group Haar measure Coset Invariant measure
12	Euclid’s Elements as an Equational Theory Vaughan Pratt Stanford University 26 May, 2015 Add to Reading List Source URL: boole.stanford.edu Language: English - Date: 2015-05-26 00:36:08 Algebra Mathematics Linear algebra Algebraic structures Abstract algebra Geometry Affine space Universal algebra Euclidean space Geometric algebra Space Foundations of geometry
13	THEOREM OF THE DAY The Robbins Problem Every Robbins algebra is a Boolean algebra. A Boolean algebra is a set containing at least two elements, 0 (zero) and 1 (one); closed under three operations, +, × and ′ (compleme Add to Reading List Source URL: www.theoremoftheday.org Language: English - Date: 2015-06-09 06:44:04
14	Qualifying Exams I, 2014 Spring 1. (Algebra) Let k = Fq be a ﬁnite ﬁeld with q elements. Count the number of monic irreducible polynomials of degree 12 over k. 2. (Algebraic Geometry) (a) Show that the set of lines L Add to Reading List Source URL: math.harvard.edu Language: English - Date: 2016-02-04 13:15:17
15	ZETA ELEMENTS IN DEPTH 3 AND THE FUNDAMENTAL LIE ALGEBRA OF A PUNCTURED ELLIPTIC CURVE FRANCIS BROWN Abstract. This paper draws connections between the double shuffle equations and structure of associators; universal mix Add to Reading List Source URL: www.ihes.fr Language: English - Date: 2015-06-04 06:30:18
16	Solutions of Qualifying Exams I, 2014 Spring 1. (Algebra) Let k = Fq be a ﬁnite ﬁeld with q elements. Count the number of monic irreducible polynomials of degree 12 over k. Solution. Let G := Gal(Fq12 /Fq ) act natur Add to Reading List Source URL: math.harvard.edu Language: English - Date: 2016-02-04 13:15:17
17	Boolean Logic Building a Modern Computer From First Principles www.nand2tetris.org Elements of Computing Systems, Nisan & Schocken, MIT Press, www.nand2tetris.org , Chapter 1: Boolean Logic Add to Reading List Source URL: nand2tetris.org Language: English - Date: 2012-07-24 08:06:04 Mathematics Logic gates Digital circuits AND gate OR gate Boolean function Multiplexer Negated AND gate Boolean algebras canonically defined Mathematical logic Boolean algebra Algebraic logic
18	Batch binary Edwards D. J. Bernstein University of Illinois at Chicago NSF ITR– Nonnegative elements of Z: Add to Reading List Source URL: www.iacr.org Language: English - Date: 2009-09-22 18:54:06 Integer sequences Ring theory Public-key cryptography Field theory Finite field Prime number Factorial Ring Modular arithmetic Mathematics Abstract algebra Mathematical analysis
19	ON THE DISTRIBUTION OF THE NUMBER OF CYCLES OF ELEMENTS IN SYMMETRIC GROUPS Don Zagier Max-Planck-Institut f¨ ur Mathematik, Bonn Add to Reading List Source URL: people.mpim-bonn.mpg.de Language: English - Date: 2011-06-28 09:31:55 Combinatorics Permutation Homotopy theory Operator theory Μ operator Proof that π is irrational Mathematics Abstract algebra Mathematical analysis
20	Math. Pmc. Camb. Phil. Soc), Printed in areat Britain Derivatives of the spectral radius as a function of non -negative matrix elements BY JOEL E. COHEN Add to Reading List Source URL: lab.rockefeller.edu Language: English - Date: 2012-02-08 16:23:25 Matrix Determinant Perron–Frobenius theorem Fundamental theorem of algebra Algebra Mathematics Matrix theory

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