Posts by Tags

Fall 2014 - Honors Algebra I

Fields

Generalizations of the real and complex number systems

Group actions

An introduction to the theory of group actions, covering examples, various counting principles, and Sylow’s theorems.

How to read commutative diagrams

An introduction to commutative diagrams, a compact language for describing algebraic objects and structure-preserving maps between them.

Naïve set theory

A quick overview of elementary set theory, covering the basic terminology, relations and functions, equivalence relations and quotient sets, cartesian produc...

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math.GR-group_theory

Group actions

An introduction to the theory of group actions, covering examples, various counting principles, and Sylow’s theorems.

How to read commutative diagrams

An introduction to commutative diagrams, a compact language for describing algebraic objects and structure-preserving maps between them.

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general audience

Killing the hydra

On Kirby–Paris Hydra game, which involves killing off a particularly vicious modern variant of the Lernaean Hydra

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math.LA-linear_algebra

Group actions

An introduction to the theory of group actions, covering examples, various counting principles, and Sylow’s theorems.

How to read commutative diagrams

An introduction to commutative diagrams, a compact language for describing algebraic objects and structure-preserving maps between them.

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math.LO-logic

Naïve set theory

A quick overview of elementary set theory, covering the basic terminology, relations and functions, equivalence relations and quotient sets, cartesian produc...

Killing the hydra

On Kirby–Paris Hydra game, which involves killing off a particularly vicious modern variant of the Lernaean Hydra

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math.AC-commutative_algebra

How to read commutative diagrams

An introduction to commutative diagrams, a compact language for describing algebraic objects and structure-preserving maps between them.

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math.RA-rings_and_fields

Fields

Generalizations of the real and complex number systems

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Euclidean geometry

Killing the hydra

On Kirby–Paris Hydra game, which involves killing off a particularly vicious modern variant of the Lernaean Hydra

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Goodstein's theorem

Killing the hydra

On Kirby–Paris Hydra game, which involves killing off a particularly vicious modern variant of the Lernaean Hydra

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Kirby-Paris hydra

Killing the hydra

On Kirby–Paris Hydra game, which involves killing off a particularly vicious modern variant of the Lernaean Hydra

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Peano arithmetic

Killing the hydra

On Kirby–Paris Hydra game, which involves killing off a particularly vicious modern variant of the Lernaean Hydra

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set-theoretic independence

Killing the hydra

On Kirby–Paris Hydra game, which involves killing off a particularly vicious modern variant of the Lernaean Hydra

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the axiom of choice

Naïve set theory

A quick overview of elementary set theory, covering the basic terminology, relations and functions, equivalence relations and quotient sets, cartesian produc...

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transfinite induction

Naïve set theory

A quick overview of elementary set theory, covering the basic terminology, relations and functions, equivalence relations and quotient sets, cartesian produc...

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abstract nonsense

How to read commutative diagrams

An introduction to commutative diagrams, a compact language for describing algebraic objects and structure-preserving maps between them.

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math.CT-category_theory

How to read commutative diagrams

An introduction to commutative diagrams, a compact language for describing algebraic objects and structure-preserving maps between them.

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homomorphic extensions

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linear extensions

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conjugacy class equation

Group actions

An introduction to the theory of group actions, covering examples, various counting principles, and Sylow’s theorems.

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sylow theorems

Group actions

An introduction to the theory of group actions, covering examples, various counting principles, and Sylow’s theorems.

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symmetry groups

Group actions

An introduction to the theory of group actions, covering examples, various counting principles, and Sylow’s theorems.

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group extension problem

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Jordan--Holder program

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semidirect products

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composition series

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prime subfields

Fields

Generalizations of the real and complex number systems

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math.NT-number_theory

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Bézout's identity

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Euclidean algorithm

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Euclidean domains

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integral domains

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prime factorization

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principal ideal domains

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unique factorization domains

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The Cost of Knowledge

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Open Access

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Open Source

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Academic Publishing

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cs.DC-distributed_parallel_and_cluster_computing

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data science

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MapReduce

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Apache Spark

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SQL

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Pandas

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cs.DS-data_structures_and_algorithms

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quicksort

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median-of-medians

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randomized algorithms

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cs.LG-learning

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stat.ML-machine_learning

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cs.AI-artificial_intelligence

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math.DG-differential_geometry

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math.OC-optimization_and_control

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neural networks

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Word2Vec

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hyperbolic geometry

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Riemannian geometry

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math.ST-statistics_theory

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arithmetic mean

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weighted arithmetic mean

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geometric mean

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How Not To Lie With Statistics

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tag

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