Independence results | Set theory | Mathematical principles | Constructible universe

Diamond principle

In mathematics, and particularly in axiomatic set theory, the diamond principle ◊ is a combinatorial principle introduced by Ronald Jensen in that holds in the constructible universe (L) and that implies the continuum hypothesis. Jensen extracted the diamond principle from his proof that the axiom of constructibility (V = L) implies the existence of a Suslin tree. (Wikipedia).

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Basic Principle

A brief description of the "Basic Principle" and how it can be used to test for primality.

From playlist Cryptography and Coding Theory

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Fundamental Principle of Counting Example 2

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Short video on how to use the fundamental rule of counting, also called the rule of product or simply the multiplication rule.

From playlist Probability and Counting

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Three space-filling shapes hiding in the structure of diamond

Diamond is an arrangement of carbon atoms called the diamond cubic structure. As well as the cubes there are two other space-filling shapes that are found within it. In the unit cell I say "three more inside". It should of course be "four more inside". https://en.wikipedia.org/wiki/Diamo

From playlist Geometry

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Chemistry - Liquids and Solids (41 of 59) Crystal Structure: Covalent: Diamond

Visit http://ilectureonline.com for more math and science lectures! In this video I explain the crystal structure of the covalent bond of the diamond.

From playlist CHEMISTRY 16 LIQUIDS AND SOLIDS

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Calculus - The Fundamental Theorem, Part 1

The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.

From playlist Calculus - The Fundamental Theorem of Calculus

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Teach Astronomy - Symmetry

http://www.teachastronomy.com/ A lot of fundamental concepts in physics are based on the idea of symmetry. Symmetry is familiar to us in an aesthetic sense. It often means things that have pleasing proportion, or look the same from every direction, or have a harmonious nature about them.

From playlist 23. The Big Bang, Inflation, and General Cosmology 2

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Structure of Diamond and Graphite, Properties - Basic Introduction

This chemistry video tutorial provides a basic introduction into the structure of diamond and graphite. Diamond has a tetrahedral geometry around each carbon atom with an sp3 hybridization. Graphite has a trigonal planar geometry around each carbon atom with an sp2 hybridization. Graphi

From playlist New AP & General Chemistry Video Playlist

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A05 The equations of motion

First example of using a symmetry principle show a conserved quantity. I show that the conservation of linear momentum comes from a radial symmetry in forces.

From playlist Physics ONE

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Barry Sanders: Spacetime replication of continuous-variable quantum information

Abstract: Combining the relativistic speed limit on transmitting information with linearity and unitarity of quantum mechanics leads to a relativistic extension of the no-cloning principle called spacetime replication of quantum information. We introduce continuous-variable spacetime-repli

From playlist Mathematical Physics

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Ice Diamond Riddle SOLUTION ft. Vsauce's Michael Stevens

Check out Vsauce! https://www.youtube.com/user/Vsauce Michael’s Math Magic Video: https://www.youtube.com/watch?v=QPLYWyq-VZc You can learn more about CuriosityStream at http://curiositystream.com/physicsgirl Creator: Dianna Cowern Editor: Jabril Ashe Animator: Kyle Norby Thanks to Dan

From playlist Physics Puzzles and Riddles

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Quantum Transport, Lecture 7: Coulomb Blockade

Instructor: Sergey Frolov, University of Pittsburgh, Spring 2013 http://sergeyfrolov.wordpress.com/ Summary: This lecture introduces charging effects in transport, the concept and applications of single electron transistors based on Coulomb blockade are revealed. Quantum Transport course d

From playlist Quantum Transport

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Julia Hartmann, University of Pennsylvania

Julia Hartmann, University of Pennsylvania Patching in differential algebra

From playlist Online Workshop in Memory of Ray Hoobler - April 30, 2020

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Was Brian Cox wrong? - Sixty Symbols

Brian Cox ruffled a few feathers with a TV lecture which touched upon the Pauli Exclusion Principle. Two of our Sixty Symbols regulars - Ed Copeland and Tony Padilla - try to explain what it was all about. Here's the section in question: http://www.youtube.com/watch?v=Mn4I-f34cTI Vis

From playlist Ed Copeland - Sixty Symbols

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MATH1081 Discrete Maths: Chapter 4 Sample Test

Here we solve sample test of math 1081 Discrete maths. Presented by Peter Brown of the School of Mathematics and Statistics, Faculty of Science, UNSW.

From playlist MATH1081 Discrete Mathematics

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Lec 13 | MIT 3.091 Introduction to Solid State Chemistry

Intrinsic and Extrinsic Semiconductors, Doping, Compound Semiconductors, Molten Semiconductors View the complete course at: http://ocw.mit.edu/3-091F04 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 3.091 Introduction to Solid State Chemistry, Fall 2004

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Quantum Transport, Lecture 9: Spin States in Quantum Dots

Instructor: Sergey Frolov, University of Pittsburgh, Spring 2013 http://sergeyfrolov.wordpress.com/ Summary: Spin states of single a double quantum dots are reviewed. Phenomena such as spin filtering, Kondo effect and spin blockade are discussed. Spin mixing mechanisms are introduced (spin

From playlist Quantum Transport

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Phases of (Quantum) Matter (ONLINE) by Subhro Bhattacharjee

VIGYAN ADDA PHASES OF (QUANTUM) MATTER (ONLINE) SPEAKER: Subhro Bhattacharjee (ICTS-TIFR, Bengaluru) WHEN:4:30 pm to 6:00 pm Tuesday, 15 June 2021 WHERE:Livestream via the ICTS YouTube channel Abstract:- Materials that surround us occur in different phases that make them useful to us.

From playlist Vigyan Adda

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Principle of Mathematical Induction (ab)^n = a^n*b^n Proof

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Principle of Mathematical Induction (ab)^n = a^n*b^n Proof

From playlist Proofs

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What is the Fundamental theorem of Algebra, really? | Abstract Algebra Math Foundations 217

Here we give restatements of the Fundamental theorems of Algebra (I) and (II) that we critiqued in our last video, so that they are now at least meaningful and correct statements, at least to the best of our knowledge. The key is to abstain from any prior assumptions about our understandin

From playlist Math Foundations

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Assaf Rinot : Distributive Aronszajn trees

Abstract: It is well-known that the statement "all ℵ1-Aronszajn trees are special'' is consistent with ZFC (Baumgartner, Malitz, and Reinhardt), and even with ZFC+GCH (Jensen). In contrast, Ben-David and Shelah proved that, assuming GCH, for every singular cardinal λ: if there exists a λ+-

From playlist Logic and Foundations

Related pages

Whitehead problem | Kurepa tree | Axiom of constructibility | Naimark's problem | Stationary set | Cardinal number | Constructible universe | Clubsuit | Continuum hypothesis | List of statements independent of ZFC | Mathematics | Suslin tree | Sequence | First uncountable ordinal | Independence (mathematical logic) | C*-algebra | Counterexample