Field (mathematics) | Algebraic number theory

Cubic field

In mathematics, specifically the area of algebraic number theory, a cubic field is an algebraic number field of degree three. (Wikipedia).

Cubic field
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Solving a Cubic Equation Using a Triangle

There is this surprising fact about cubic equations with 3 real solutions where an equilateral triangle centered on the inflection point can always be scaled/rotated by some amount such that its vertices will line up with the roots of the equation. But is there any way that this can be us

From playlist Summer of Math Exposition Youtube Videos

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Field Theory - Splitting Fields in CC - Lecture 11

In this video we compute some examples of splitting fields over CC. These include a Kummer field, a cyclotomic field, a quadratic field, and some real cubic field.

From playlist Field Theory

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The Structure of Fields: What is a field and a connection between groups and fields

This video is primarily meant to help develop some ideas around the structure of fields and a connection between groups and fields (which will allow me to create more abstract algebra videos in the future! 😀😅🤓) 00:00 Intro 01:04 What is a Field? Here we give the definition of a field in

From playlist The New CHALKboard

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Physics - E&M: Ch 36.1 The Electric Field Understood (1 of 17) What is an Electric Field?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is an electric field. An electric field exerts a force on a charged place in the field, can be detected by placing a charged in the field and observing the effect on the charge. The stren

From playlist THE "WHAT IS" PLAYLIST

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Solving Cubic Inequalities (1 of 3: Interpreting the graph)

More resources available at www.misterwootube.com

From playlist Further Work with Functions

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Maxima and Minima for Quadratic and Cubics | Algebraic Calculus One | Wild Egg

Tangents of algebraic curves are best defined purely algebraically, without recourse to limiting arguments! We apply our techniques for finding such tangents to derive some familiar results for quadratic and cubic polynomial functions and their maxima and minima. We compare also with the c

From playlist Algebraic Calculus One

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Slope Fields

This video introduces slope fields and shows how to graph a slope field

From playlist Introduction to Differential Equations (Calculus I)

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Field Definition (expanded) - Abstract Algebra

The field is one of the key objects you will learn about in abstract algebra. Fields generalize the real numbers and complex numbers. They are sets with two operations that come with all the features you could wish for: commutativity, inverses, identities, associativity, and more. They

From playlist Abstract Algebra

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11_7_1 Potential Function of a Vector Field Part 1

The gradient of a function is a vector. n-Dimensional space can be filled up with countless vectors as values as inserted into a gradient function. This is then referred to as a vector field. Some vector fields have potential functions. In this video we start to look at how to calculat

From playlist Advanced Calculus / Multivariable Calculus

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Ari Shnidman: Monogenic cubic fields and local obstructions

Recording during the meeting "Zeta Functions" the December 05, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http:

From playlist Number Theory

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Asymptotics of number fields - Manjul Bhargava [2011]

Asymptotics of number fields Introductory Workshop: Arithmetic Statistics January 31, 2011 - February 04, 2011 January 31, 2011 (11:40 AM PST - 12:40 PM PST) Speaker(s): Manjul Bhargava (Princeton University) Location: MSRI: Simons Auditorium http://www.msri.org/workshops/566

From playlist Number Theory

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Counting Low Degree Number Fields with Almost Prescribed Successive Minima - Sameera Vemulapalli

Joint IAS/PU Number Theory Seminar Topic: Counting Low Degree Number Fields with Almost Prescribed Successive Minima Speaker: Sameera Vemulapalli Affiliation: Princeton University Date: January 26, 2023 The successive minima of an order in a degree n number field are n real numbers encod

From playlist Mathematics

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Galois theory: Cubics and quartics

This lecture is part of an online graduate course on Galois theory. We show how to use Galois theory to solve cubic and quartic polynomials by radicals.

From playlist Galois theory

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Arul Shankar, Ordering elliptic curves by conductor

VaNTAGe seminar, on Oct 27, 2020 License: CC-BY-NC-SA. Closed captions provided by Rachana Madhukara.

From playlist Rational points on elliptic curves

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CTNT 2020 - Non-vanishing for cubic L-functions - Alexandra Florea

The Connecticut Summer School in Number Theory (CTNT) is a summer school in number theory for advanced undergraduate and beginning graduate students, to be followed by a research conference. For more information and resources please visit: https://ctnt-summer.math.uconn.edu/

From playlist CTNT 2020 - Conference Videos

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Man Cheung Tsui, University of Pennsylvania

January 29, Man Cheung Tsui, University of Pennsylvania Differential Essential Dimension Speaker appears at 1:40

From playlist Spring 2021 Online Kolchin Seminar in Differential Algebra

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Counting rational points of cubic hypersurfaces - Salberger - Workshop 1 - CEB T2 2019

Per Salberger (Chalmers Univ. of Technology) / 23.05.2019 Counting rational points of cubic hypersurfaces Let N(X;B) be the number of rational points of height at most B on an integral cubic hypersurface X over Q. It is then a central problem in Diophantine geometry to study the asympto

From playlist 2019 - T2 - Reinventing rational points

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Many quartic threefolds are not stably rational - Jean-Louis Colliot-Thelene

Jean-Louis Colliot-Thélène March 9, 2015 Workshop on Chow groups, motives and derived categories More videos on http://video.ias.edu

From playlist Mathematics

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Cubic Curves (2 of 4: Polynomial Division & the factors of a Polynomial)

More resources available at www.misterwootube.com

From playlist Further Polynomials

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Álvaro Lozano-Robledo: Recent progress in the classification of torsion subgroups of...

Abstract: This talk will be a survey of recent results and methods used in the classification of torsion subgroups of elliptic curves over finite and infinite extensions of the rationals, and over function fields. Recording during the meeting "Diophantine Geometry" the May 22, 2018 at th

From playlist Math Talks

Related pages

Order (group theory) | Absolute value | If and only if | Harold Davenport | Coefficient | Continued fraction | Conjecture | Dirichlet's unit theorem | Residue (complex analysis) | Conductor (class field theory) | Algebraic number field | Boris Delaunay | Hans Heilbronn | Euler's totient function | Symmetric group | Rational number | Cube root | Cyclotomic field | Discriminant | Field extension | Gamma function | Mathematics | Field (mathematics) | Real number | Cyclic group | Algebraic number theory | Fundamental discriminant | Galois group | Irreducible polynomial | Discriminant of an algebraic number field | Parity (mathematics) | Complex number | Quadratic field | Galois extension | Riemann zeta function | Shintani zeta function | Degree of a field extension