Ordered groups

Archimedean group

In abstract algebra, a branch of mathematics, an Archimedean group is a linearly ordered group for which the Archimedean property holds: every two positive group elements are bounded by integer multiples of each other. The set R of real numbers together with the operation of addition and the usual ordering relation between pairs of numbers is an Archimedean group. By a result of Otto Hölder, every Archimedean group is isomorphic to a subgroup of this group. The name "Archimedean" comes from Otto Stolz, who named the Archimedean property after its appearance in the works of Archimedes. (Wikipedia).

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Sporadic groups

This is an informal talk on sporadic groups given to the Archimedeans (the Cambridge undergraduate mathematical society). It discusses the classification of finite simple groups and some of the sporadic groups, and finishes by briefly describing monstrous moonshine. For other Archimedeans

From playlist Math talks

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Fluids, Buoyancy, and Archimedes' Principle

Archimedes is not just the owl from the Sword in the Stone. Although that's a sweet movie if you haven't seen it. He was also an old Greek dude who figured out a bunch of physics way before other people did. Some of this was discovered at bath time, so it has a lot to do with water, but do

From playlist Classical Physics

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Archimedean Theory - Alex Kontorovich

Speaker: Alex Kontorovich (Rutgers/IAS) Title: Archimedean Theorem More videos on http://video.ias.edu

From playlist Mathematics

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The Archimedean Spiral | Visually Explained (animation code also explained)

This is a video explaining what is so extraordinary about Archimedes, and the geometric things he did back in the BC. This is a partial explanation of the topic, and a partially explaining the code. Timecodes: 0:00 - Intro 0:11 - Archimedean Spirals 3:40 - The Exhaustion Method 5:38 - Ma

From playlist ManimCE Tutorials 2021

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Device for milling Archimedean spiral groove 1

Combination of bevel gear satellite drive and nut-screw one.

From playlist Mechanisms

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Archimedes Spiral Gear Mechanism

This unusual gear mechanism is based around an Archimedes Spiral. Tim was given it by a friend, who made it using 3D printing. Happy New Year to you all from everyone at Grand Illusions!

From playlist Engineering

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What is the Archimedes’ Principle? | Gravitation | Physics | Don't Memorise

We can bet you've heard about the Archimedes' principle at least once in your life. But do you know what it really means? Watch this video to find out. To get access to the entire course based on Gravitation, enroll here - https://infinitylearn.com/microcourses?utm_source=youtube&utm_med

From playlist Physics

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Archaea

Life on Earth 005 - Archaea In this video Paul Andersen describes the defining characteristics of members in the domain archaebacteria. He starts with a brief description of the phylogeny of this group. He then describes the major characteristics on an archaea, such as differences in th

From playlist Biology

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Archimedean drive 2b

The green and orange wheels of Archimedean grooves are identical. The green one is input. The pink pin slides in both grooves and in a straight slot of a immobile bar. The slot is on the line connecting axes of the two wheels. Two wheels rotate in the same direction with the same speed, li

From playlist Mechanisms

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Perfectoid spaces (Lecture 1) by Kiran Kedlaya

PERFECTOID SPACES ORGANIZERS: Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri, and Narasimha Kumar Cheraku DATE & TIME: 09 September 2019 to 20 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France) Eknath

From playlist Perfectoid Spaces 2019

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Yifeng Liu - Derivative of L-functions for unitary groups (3/3)

In this lecture series, we will focus on the recent advance on the Beilinson-Bloch conjecture for unitary Shimura varieties, more precisely, a Gross-Zagier type formula for automorphic forms on unitary groups of higher ranks. We will start from the general theory of height pairings between

From playlist Franco-Asian Summer School on Arithmetic Geometry (CIRM)

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Marjorie Wikler Senechal - Unwrapping a Gem - CoM Apr 2021

If the celebrated Scottish zoologist D’Arcy W. Thompson (1860 – 1948) could have met the near-legendary German astronomer Johannes Kepler (1571 – 1630), what would they talk about? Snowflakes, maybe? It is true that both men wrote about their hexagonal shapes. But they both wrote about Arc

From playlist Celebration of Mind 2021

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The Weyl law for algebraic tori - Ian Petrow

Joint IAS/Princeton University Number Theory Seminar Topic: The Weyl law for algebraic tori Speaker: Ian Petrow Affiliation: ETH Zurich Date: March 13, 2018 For more videos, please visit http://video.ias.edu

From playlist Mathematics

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Geometry Of Frobenioids - part 6 - Archimedean Frobenioids

This is contained in Mochizuki's Geometry of Frobenioids 2.

From playlist Geometry of Frobenioids

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Michael Harris: Construction of p-adic L-functions for unitary groups

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Algebraic and Complex Geometry

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Salma Kuhlmann: Real closed fields and models of Peano arithmetic

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist SPECIAL 7th European congress of Mathematics Berlin 2016.

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Uniform Tilings of The Hyperbolic Plane (Lecture 4) by Subhojoy Gupta

ORGANIZERS : C. S. Aravinda and Rukmini Dey DATE & TIME: 16 June 2018 to 25 June 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore This workshop on geometry and topology for lecturers is aimed for participants who are lecturers in universities/institutes and colleges in India. This wi

From playlist Geometry and Topology for Lecturers

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Archimedean Spire

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/MYI

From playlist 3D printing

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Robert Langlands, Problems in the theory of automorphic forms: 45 years later (1/3) [2014]

For an Oxford conference last week, (https://www.maths.nottingham.ac.uk/personal/ibf/files/S&C-schedule.html) Langlands contributed a one-hour video talk, filmed in his office. One hour was not enough, so hours two and three are also available, as well as a separate text 9https://publicati

From playlist Number Theory

Related pages

Converse (logic) | Operation (mathematics) | Archimedes | Origin (mathematics) | Dyadic rational | Group (mathematics) | Archimedean property | Identity element | Hahn embedding theorem | Group isomorphism | Mathematical proof | Rational number | Finite group | Pointwise | Otto Stolz | Natural number | Mathematics | Commutative property | Integer | Hyperreal number | Real number | Embedding | Euclidean plane | Cyclic group | Lexicographic order | Dedekind cut | Even number | Infinitesimal | Subgroup | Linearly ordered group | Abstract algebra | Non-Archimedean ordered field | Inverse element | P-adic number | Binary operation | Surreal number | Abelian group | Monoid