In set theory, a branch of mathematical logic, Martin's maximum, introduced by and named after Donald Martin, is a generalization of the proper forcing axiom, itself a generalization of Martin's axiom. It represents the broadest class of forcings for which a forcing axiom is consistent. Martin's maximum (MM) states that if D is a collection of dense subsets of a notion of forcing that preserves stationary subsets of ω1, then there is a D-generic filter. Forcing with a ccc notion of forcing preserves stationary subsets of ω1, thus MM extends . If (P,≤) is not a stationary set preserving notion of forcing, i.e., there is a stationary subset of ω1, which becomes nonstationary when forcing with (P,≤), then there is a collection D of dense subsets of (P,≤), such that there is no D-generic filter. This is why MM is called the maximal extension of Martin's axiom. The existence of a supercompact cardinal implies the consistency of Martin's maximum. The proof uses Shelah's theories of semiproper forcing and iteration with revised countable supports. MM implies that the value of the continuum is and that the ideal of nonstationary sets on ω1 is -saturated. It further implies stationary reflection, i.e., if S is a stationary subset of some regular cardinal κ ≥ ω2 and every element of S has countable cofinality, then there is an ordinal α < κ such that S ∩ α is stationary in α. In fact, S contains a closed subset of order type ω1. (Wikipedia).
Maximum and Minimum of a set In this video, I define the maximum and minimum of a set, and show that they don't always exist. Enjoy! Check out my Real Numbers Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCZggpJZvUXnUzaw7fHCtoh
From playlist Real Numbers
What Is The Maximum Height? (Physics Shorts)
Here is how to calculate the maximum height of a projectile, if you start at an initial height.
From playlist FULL Reviews & Problems
Limit of (4u^4 + 5)/((u^2 - 2)(2u^2 - 1)) as u approaches infinity
Limit of (4u^4 + 5)/((u^2 - 2)(2u^2 - 1)) as u approaches infinity. This is a calculus problem where we find a limit as u approaches infinity. In this case we have a rational function and the numerator and denominator have the same growth rate, so the limit is the ratio of the leading coef
From playlist Limits at Infinity
Determine Limits Using Limit Laws (Properties)
This video explains how to determine limits using limit laws or limit properties.
From playlist Limits
Bounds: Find Maximum (Integer) (Grade 4) - OnMaths GCSE Maths Revision
Topic: Bounds: Find Maximum (Integer) Do this paper online for free: https://www.onmaths.com/bearings/ Grade: 4 This question appears on calculator and non-calculator higher and foundation GCSE papers. Practise and revise with OnMaths. Go to onmaths.com for more resources, like predicted
From playlist Grade 4
Absolute Maximum/Minimum (1 of 2: Domain restricted polynomial)
More resources available at www.misterwootube.com
From playlist Applications of Differentiation
scientific notation greatest value
a scientific notation problem with greatest value
From playlist Common Core Standards - 7th Grade
Private Algorithms with Minimal Space
A Google TechTalk, 2020/7/29, presented by Adam Smith, Boston University ABSTRACT: We show that a classic algorithm for counting distinct elements in small space is differentially private with only small modifications. The result is an algorithm with the same space guarantee as in the nonp
From playlist 2020 Google Workshop on Federated Learning and Analytics
Stochastic descriptors to study the fate of naive T cell... by Carmen Molina Paris
DISCUSSION MEETING : MATHEMATICAL AND STATISTICAL EXPLORATIONS IN DISEASE MODELLING AND PUBLIC HEALTH ORGANIZERS : Nagasuma Chandra, Martin Lopez-Garcia, Carmen Molina-Paris and Saumyadipta Pyne DATE & TIME : 01 July 2019 to 11 July 2019 VENUE : Madhava Lecture Hall, ICTS, Bangalore
From playlist Mathematical and statistical explorations in disease modelling and public health
The S-matrix Bootstrap in 2d and 4 Primal and Dual Problem by Martin Kruczenski
PROGRAM NONPERTURBATIVE AND NUMERICAL APPROACHES TO QUANTUM GRAVITY, STRING THEORY AND HOLOGRAPHY (HYBRID) ORGANIZERS: David Berenstein (University of California, Santa Barbara, USA), Simon Catterall (Syracuse University, USA), Masanori Hanada (University of Surrey, UK), Anosh Joseph (II
From playlist NUMSTRING 2022
Calculus Limits Analytically b9p4
Calculus Limits Analytically b9p4 gotomath.com
From playlist Calculus 1
Florence Merlevède: Rates of convergence in the CLT for non stationary sequences and application...
CONFERENCE Recording during the thematic meeting : "Probabilistic Techniques for Random and Time-Dependent Dynamical Systems" the October 3, 2022 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks g
From playlist Probability and Statistics
PrepTest 33 Game 2: The Canonical In and Out Game // Logic Games [#35] [LSAT Analytical Reasoning]
First things first, this is the final LSAT game I'll be publishing on this channel. But fear not, gentle LSAT prepper. I will still post LSAT games, but from now on they'll be at their own special LSAT-specific channel: Polymathematic LSAT. You can subscribe by clicking this link: https:/
From playlist LSAT Games
Ex: Limits of the Floor Function (Greatest Integer Function)
This video explains how to determine limits of a floor function graphically and numerically using a graphing calculator. Site: http://mathispower4u.com
From playlist Limits
Sebastián Donoso: Recent developments in finite rank systems
I will comment on recent results concerning the topological properties of finite rank Cantor minimal systems. I will mention some ideas to estimate their word complexity and ask a few open problems. CIRM HYBRID EVENT Recorded during the meeting "Algebraic and Combinatorial Invariants
From playlist Virtual Conference
Statistical Mechanics of Vortices by Nick Manton
PROGRAM: VORTEX MODULI ORGANIZERS: Nuno Romão (University of Augsburg, Germany) and Sushmita Venugopalan (IMSc, India) DATE & TIME: 06 February 2023 to 17 February 2023 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru For a long time, the vortex equations and their associated self-dual fie
From playlist Vortex Moduli - 2023
Sarah Morell: Single Source Unsplittable Flows with Arc-Wise Lower and Upper Bounds
In a digraph with a source and several destination nodes with associated demands, an unsplittable flow routes each demand along a single path from the common source to its destination. Given some flow x that is not necessarily unsplittable but satisfies all demands, we ask for an unsplitta
From playlist Workshop: Approximation and Relaxation
How to Compute a One Sided limit as x approaches from the right
In this video I will show you How to Compute a One Sided limit as x approaches from the right.
From playlist One-sided Limits
Two Applications of the Bootstrap in QCD (Lecture 3) by Martin Kruczenski
PROGRAM NONPERTURBATIVE AND NUMERICAL APPROACHES TO QUANTUM GRAVITY, STRING THEORY AND HOLOGRAPHY (HYBRID) ORGANIZERS: David Berenstein (University of California, Santa Barbara, USA), Simon Catterall (Syracuse University, USA), Masanori Hanada (University of Surrey, UK), Anosh Joseph (II
From playlist NUMSTRING 2022