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University of Oxford

Why There Are No Three-Headed Monsters

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Explore developmental constraints, brain tumors, and marriage dynamics through mathematical biology, offering insights into morphogenesis, medical interventions, and relationship predictions.
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29 Lesons
1 hour 19 minutes
On-Demand
Free-Video
University of Oxford

The Potential for AI in Science and Mathematics

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Renowned mathematician Terry Tao explores AI's potential in advancing scientific and mathematical research, followed by a discussion with Po-Shen Loh on the future of AI in academia.
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1 Lesons
53 minutes
On-Demand
Free-Video
NPTEL

Computational Commutative Algebra

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This is an introductory course in computational commutative algebra. Topics in a typical first course in commutative algebra are developed along with computations in Macaulay2. The emphasis will be on concrete computations, more than on giving complete p…
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61 Lesons
1 day 7 hours
On-Demand
Free-Video
Dr Trefor Bazett

The Longest Mathematical Proof Ever: Exploring Schur Number Five

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Dive into the world's longest mathematical proof, exploring Schur number five and its 2-petabyte size. Uncover propositional logic, SAT solvers, and proof verification in this fascinating journey.
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8 Lesons
20 minutes
On-Demand
Free-Video
Steve Brunton

Numerical Integration - Discrete Riemann Integrals and Trapezoid Rule

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Explore numerical integration techniques including Riemann integrals, trapezoidal rule, and Simpson's rule. Learn to approximate definite integrals with Python and MATLAB implementations.
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5 Lesons
30 minutes
On-Demand
Free-Video
ICTP Mathematics

Standard and Less Standard Asymptotic Methods - Lecture 3

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Explore advanced asymptotic methods for evaluating infinite sums and recognizing sequence patterns, with practical examples and techniques for high-precision numerical computations.
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11 Lesons
1 hour 41 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Structured Prediction with Sparse Wasserstein Barycenters

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Explorez la prédiction structurée avec les barycentres de Wasserstein clairsemés. Apprenez les concepts clés et les applications de cette technique mathématique avancée.
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1 Lesons
49 minutes
On-Demand
Free-Video
ICTP-SAIFR

Numerical Methods - Class 2 of 4

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Explore numerical methods for modeling infectious diseases, focusing on advanced techniques and practical applications in epidemiology.
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1 Lesons
1 hour 29 minutes
On-Demand
Free-Video
ICTP-SAIFR

Numerical Methods - Class 1 of 4

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Explore numerical methods for modeling infectious diseases, focusing on fundamental techniques and their applications in epidemiology.
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1 Lesons
1 hour 28 minutes
On-Demand
Free-Video
Banach Center

Time of Digital Transformations - Challenges and Chances for Mathematics

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Odkryj wyzwania i szanse dla matematyki w erze cyfrowej transformacji. Poznaj perspektywy rozwoju i zastosowań matematyki w zmieniającym się świecie technologii.
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1 Lesons
56 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Optimal Transport for Graphs: Definitions and Applications to Graph-Signal Processing

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Explore optimal transport for graphs, including definitions and applications to graph-signal processing. Gain insights from Nicolas Courty's expert perspective.
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1 Lesons
55 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Numerical Methods for PDEs - Class 16

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Explore advanced numerical methods for solving partial differential equations, focusing on techniques applicable to complex mathematical problems in various scientific fields.
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1 Lesons
1 hour 28 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Numerical Methods for PDEs - Class 22

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Aprofunde-se em métodos numéricos avançados para equações diferenciais parciais, explorando técnicas e aplicações em nível de doutorado.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Numerical Methods for PDEs - Class 21

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Explore advanced numerical methods for solving partial differential equations in this doctoral-level lecture, focusing on cutting-edge techniques and applications in mathematical modeling.
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1 Lesons
1 hour 15 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Numerical Methods for PDEs - Class 20

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Explore advanced numerical methods for solving partial differential equations in this doctoral-level lecture, focusing on cutting-edge techniques and applications in mathematical modeling.
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1 Lesons
1 hour 23 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Numerical Methods for PDEs - Class 19

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Explore advanced numerical methods for solving partial differential equations, focusing on techniques applicable to complex mathematical problems in doctoral-level research.
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1 Lesons
1 hour 17 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Numerical Methods for PDEs - Class 18

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Explore advanced numerical methods for solving partial differential equations in this doctoral-level lecture, focusing on cutting-edge techniques and applications in mathematical modeling.
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1 Lesons
1 hour 19 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Numerical Methods for PDEs - Class 17

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Explore advanced numerical methods for solving partial differential equations, focusing on complex mathematical techniques and their applications in doctoral-level research.
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1 Lesons
1 hour 24 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

A Family of Crouzeix-Raviart Non-Conforming Finite Elements in Two- and Three Spatial Dimensions

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Explore non-conforming finite elements in 2D and 3D, focusing on Crouzeix-Raviart type. Learn about optimal a priori estimates, jump conditions, and explicit representations of local basis functions.
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1 Lesons
50 minutes
On-Demand
Free-Video
IEEE

Fast Generalized DFTs for All Finite Groups

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Explore efficient algorithms for generalized Discrete Fourier Transforms applicable to all finite groups, enhancing computational capabilities in various mathematical fields.
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1 Lesons
21 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Polar Deconvolution of Mixed Signals - IMAGINE Seminar Series

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Explore signal demixing using polar deconvolution, a novel approach for separating mixed signals with high efficiency and stability, presented by Michael Friedlander from UBC.
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1 Lesons
55 minutes
On-Demand
Free-Video
Institute for Mathematical Sciences

Convergent Evolving Surface Finite Element Algorithms for Geometric Evolution Equations

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Explore convergent evolving surface finite element algorithms for geometric evolution equations, presented by Prof. Christian Lubich from University of Tübingen.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

1D Finite Element Method: Wave Equation Basis and Testing Functions - Lecture 1

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Explore basis and testing functions for 1D Finite Element Method in solving the 1D Wave Equation, enhancing understanding of numerical methods in computational physics.
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1 Lesons
29 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Introduction to the Finite Element Method: 1D Basis Functions

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Explore 1D basis functions in finite element method. Learn key concepts and applications for numerical analysis and engineering problem-solving.
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1 Lesons
12 minutes
On-Demand
Free-Video
Simons Institute

Randomized Numerical Linear Algebra - Overview

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Explore randomized numerical linear algebra techniques for efficient matrix computations, covering sampling methods, error bounds, and applications to least-squares problems and SVD.
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18 Lesons
32 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Stabilizing the Unstable Output of Persistent Homology Computations

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Explore stabilizing techniques for persistent homology computations, focusing on generating cycles and their applications in topological data analysis.
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19 Lesons
44 minutes
On-Demand
Free-Video
Fields Institute

On the Role of Data Structure in High-Dimensional Learning

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Explores high-dimensional learning challenges, focusing on geometric function classes, optimization aspects, and computational hardness. Discusses algorithmic approaches and implications for deep learning.
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16 Lesons
57 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Computing Persistent Homology - Introduction

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Explore the fundamentals of persistent homology computation, covering key concepts, intuition, and practical applications in topological data analysis.
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7 Lesons
27 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Gunnar Carlsson - Local to Global Principles in Persistent Homology

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Explore persistent homology's local-to-global principles, computational methods, and applications in topology and data analysis with expert Gunnar Carlsson.
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23 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

GPU Accelerated Computation of VR Barcodes in Evaluating Deep Learning Models

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GPU-accelerated computation of VR barcodes for evaluating deep learning models, focusing on Ripser++ software and its applications in measuring data distribution shifts and analyzing attention graphs in BERT models.
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19 Lesons
56 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Barbara Giunti - Average Complexity of Barcode Computation for Vietoris-Rips Filtrations

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Explore algorithmic complexity of persistent homology in random Vietoris-Rips filtrations, focusing on boundary matrix fill-up and its implications for computational efficiency.
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10 Lesons
52 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Stability of 2-Parameter Persistent Homology

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Explores stability results for 2-parameter persistent homology, covering multicover bifiltration, subdivision bifiltrations, and degree bifiltrations. Discusses computational aspects and implications for practical applications.
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1 Lesons
55 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Don Sheehy - Persistent Homology of Lipschitz Extensions

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Explore persistent homology of Lipschitz functions, analyzing sublevel set filtrations and barcodes from sample data. Learn about sub-barcodes and their theoretical guarantees in topological data analysis.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Parallel Decomposition of Persistence Modules Through Interval Bases

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Explore parallel decomposition of persistence modules using interval bases, enhancing Topological Data Analysis with distributed computation and Hodge decomposition techniques.
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1 Lesons
50 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

The Persistence Mayer-Vietoris Spectral Sequence

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Explore the persistent Mayer-Vietoris spectral sequence, its applications in parallelizing persistent homology computations, and its ability to provide locality-enriched persistence barcodes.
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1 Lesons
51 minutes
On-Demand
Free-Video
Simons Institute

Sketching High-Dimensional Data

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Explore techniques for efficiently summarizing and analyzing large datasets in high-dimensional spaces, focusing on probability, geometry, and computational methods.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Simons Institute

Adaptive Sparse Recovery with Limited Adaptivity

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Explore techniques for efficient sparse signal recovery using limited adaptive measurements, with applications in sublinear algorithms and nearest-neighbor search.
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1 Lesons
42 minutes
On-Demand
Free-Video
Simons Institute

Mergeable Summaries and the Data Sketches Library

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Explore mergeable summaries and the Data Sketches Library, focusing on mathematical and computational challenges in real-time decision making for big data analytics.
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1 Lesons
42 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Novel Computational Perspectives of Persistence

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Explore innovative computational approaches to persistence in algebraic topology, focusing on advanced techniques and their applications in data analysis and topological research.
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1 Lesons
54 minutes
On-Demand
Free-Video
Institute for Advanced Study

From Matroids to Moduli Spaces

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Explore the mathematical foundations of matroids and their applications in OSCAR software, focusing on hyperplane arrangements, particle physics, and algebraic geometry applications.
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1 Lesons
56 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Computer-Assisted Global Analysis of Non-Smooth Impact Dynamics Inspired by Energy Harvesting

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Delve into advanced mathematical analysis of vibro-impact dynamics, exploring computational methods for energy harvesting systems and non-smooth impact phenomena through novel return map approaches.
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1 Lesons
56 minutes
On-Demand
Free-Video
Insights into Mathematics

Arrays and Matrices - Data Structures in Mathematics Math Foundations | NJ Wildberger

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Introduction to arrays and matrices as 2D data structures, exploring definitions, examples, and extending to 3D arrays. Distinguishes between arrays and matrices, offering a novel approach to linear algebra.
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8 Lesons
28 minutes
On-Demand
Free-Video
Insights into Mathematics

Towards a More Computational Mathematics - Rational Trigonometry and New Foundations for Geometry

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Explores a computational approach to mathematics using rational numbers, introducing rational trigonometry and its laws. Covers applications in geometry, spread polynomials, and projective trigonometry.
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33 Lesons
56 minutes
On-Demand
Free-Video
Insights into Mathematics

Difficulties With Real Numbers as Infinite Decimals - Real Numbers + Limits Math Foundations

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Explores challenges in defining real numbers as infinite decimals from a computational perspective, highlighting technical obstacles in algorithms, arithmetic operations, and number equality recognition.
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13 Lesons
52 minutes
On-Demand
Free-Video
Insights into Mathematics

Computations with Homogeneous Coordinates - Universal Hyperbolic Geometry

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Explore algebraic definitions of points and lines in hyperbolic geometry, learn key theorems, and understand their applications in computational geometry and Cartesian coordinates.
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9 Lesons
45 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

The Power of Sampling by Peter W. Glynn

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Explore sampling methods in statistics, computation, and engineering. Learn about their history, applications, and advantages in overcoming dimensional challenges and creating scalable algorithms.
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45 Lesons
1 hour 29 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Computer-Assisted Proofs in the Arithmetic of Quadratic Forms - IPAM at UCLA

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Explore computer-assisted proofs in quadratic forms arithmetic, covering equivalence, representation, local-global principles, and modular forms. Gain insights into complex computations across mathematics.
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14 Lesons
47 minutes
On-Demand
Free-Video
International Mathematical Union

Aaron Pixton- The Double Ramification Cycle

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Explore divisorial conditions, dual graphs, and tautological generators in algebraic geometry. Gain insights into computing DR(A) and multiplying Hain's formula.
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13 Lesons
45 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Ulrich Bauer: Ripser - Efficient Computation of Vietoris–Rips Persistence Barcodes

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Explore efficient computation of Vietoris-Rips persistence barcodes using Ripser software. Learn about matrix reduction algorithms, persistent cohomology, and discrete Morse theory applications in topological data analysis.
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19 Lesons
51 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

A Coupling Strategy for Nonlocal and Local Models With Applications

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Explore nonlocal-local model coupling in elasticity through optimization, analyzing well-posedness and implementation. Includes numerical tests and applications in peridynamics and classical elasticity.
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24 Lesons
45 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Derek Holt- Algorithms for Finitely Presented Groups III

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Explore advanced algorithms for finitely presented groups, including Todd-Coxeter coset enumeration, Reidemeister-Schreier algorithm, and automatic structures. Learn applications in group theory and computational methods.
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15 Lesons
1 hour 1 minute
On-Demand
Free-Video
Hausdorff Center for Mathematics

Reinhard Kahle- How Computations Entered in Mathematical Foundations

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Explore how computation became central to mathematical foundations, from Hilbert's Programme to the distinction between syntax and semantics in formalization and recursive theories.
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10 Lesons
40 minutes
On-Demand
Free-Video
ICTP Mathematics

Standard and Less Standard Asymptotic Methods - Lecture 9

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Explore advanced asymptotic methods for evaluating infinite sums and recognizing sequence patterns. Learn techniques from standard to unconventional, with practical examples and applications in mathematics.
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12 Lesons
1 hour 36 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

New Results in Computing Zigzag and Multiparameter Persistence

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Explore new advancements in computing zigzag and multiparameter persistence, including efficient conversion methods and improved algorithms for 2-parameter persistence modules.
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12 Lesons
53 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Persistent Homotopy Groups of Metric Spaces

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Explore persistent homotopy groups of metric spaces, their stability, and advantages over persistent homology. Learn about tree-like structures and ultrametrics in fundamental groups.
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12 Lesons
46 minutes
On-Demand
Free-Video
Simons Institute

Breakthroughs - A Refined Laser Method and Faster Matrix Multiplication

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Explore advanced techniques in matrix multiplication, including the refined Laser method, to enhance computational efficiency and speed in mathematical operations.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Efficient Approximation of the Matching Distance for 2-Parameter Persistence

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Explore efficient algorithms for approximating matching distance in 2-parameter persistence modules, focusing on quad-tree refinement and local adaptive bounds for improved computational performance.
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1 Lesons
30 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Two Methods of Efficiently Approximating Semi-Algebraic Sets Up to Homotopy

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Explores efficient methods for approximating semi-algebraic sets, focusing on singly exponential complexity algorithms and their applications in algebraic geometry.
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1 Lesons
1 hour
On-Demand
Free-Video
Applied Algebraic Topology Network

A Faithful Discretization of the Persistent Homology Transform

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Explore a faithful discretization method for the Persistent Homology Transform, enhancing computational efficiency in topological data analysis and shape recognition.
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1 Lesons
25 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Homology Inference for the Degree-Rips Bifiltration

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Explore density-sensitive degree-Rips bifiltration, its homology inference framework, and applications to annular point clouds with outliers. Analyze homotopy types and explanatory power in topological data analysis.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Jacob Lurie: A Riemann-Hilbert Correspondence in P-adic Geometry

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Explore p-adic geometry and the Riemann-Hilbert correspondence, covering perfectoid spaces, crystals, and spectral methods in this advanced mathematics lecture.
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24 Lesons
57 minutes
On-Demand
Free-Video
ICTP Mathematics

Standard and Less Standard Asymptotic Methods - Lecture 12

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Explore advanced techniques for evaluating infinite sums and recognizing asymptotic patterns in numerical sequences, with practical examples and applications in various mathematical fields.
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1 Lesons
1 hour 29 minutes
On-Demand
Free-Video
ICTP Mathematics

Standard and Less Standard Asymptotic Methods - Lecture 11

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Explore advanced techniques for evaluating infinite sums and recognizing asymptotic patterns in numerical sequences, with practical examples and applications in mathematical analysis.
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1 Lesons
1 hour 24 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

The Relational Complexity of a Finite Permutation Group

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Explores relational complexity in finite permutation groups, discussing its measurement, estimation methods, and recent progress towards proving a key conjecture using theoretical and computational approaches.
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1 Lesons
1 hour
On-Demand
Free-Video
Hausdorff Center for Mathematics

Derek Holt- Algorithms for Finitely Presented Groups I

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Explore fundamental algorithms for computing in finitely presented groups, including Todd-Coxeter coset enumeration and Reidemeister-Schreier algorithm, with practical examples and applications.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Computing with Gödel's Completeness Theorem

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Explore computational approaches to Gödel's completeness theorem, including Krivine's "exploding models," A-translation, and Kripke forcing, with insights on reifying validity proofs into derivability proofs.
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1 Lesons
46 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Natural Homology Computability and Eilenberg Steenrod Axioms

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Explore natural homology computability and Eilenberg Steenrod axioms in this advanced mathematics lecture, delving into applied and computational algebraic topology concepts.
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1 Lesons
48 minutes
On-Demand
Free-Video
Let's Code Physics

The Lonely Runner Conjecture - Simulation and Explanation

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Explore the intriguing Lonely Runner Conjecture through simulation, understanding its simplicity and the challenge of proving it conclusively.
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20 Lesons
15 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Foundations of Deep Learning and AI: Instabilities, Limitations, and Potential

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Exploring deep learning's instability, AI limitations, and potential impacts on scientific computing and medical imaging. Compares AI's current state to early 20th-century mathematics, predicting similar foundational challenges.
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25 Lesons
1 hour
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Optimal Shape of Tree Roots and Branches - Seminar in Analysis and Methods of PDE

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Explore mathematical models for optimal shapes in nature, focusing on tree roots and branches. Examine functionals for sunlight capture and nutrient collection, combined with transportation costs.
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1 Lesons
56 minutes
On-Demand
Free-Video
IEEE

Matrix Methods in Computer Science - Session 6B

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Explore advanced matrix methods and their applications in computer science, focusing on cutting-edge research and algorithmic developments.
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1 Lesons
1 hour 32 minutes
On-Demand
Free-Video
IEEE

Matrix Methods in Computer Science - Session 4B

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Explore advanced matrix methods and their applications in computer science, focusing on cutting-edge research and algorithmic developments.
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1 Lesons
1 hour 31 minutes
On-Demand
Free-Video
IEEE

Robust and Sample Optimal Algorithms for PSD Low-Rank Approximation

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Explore efficient algorithms for positive semidefinite low-rank approximation, focusing on robustness and sample optimality in matrix computations.
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1 Lesons
28 minutes
On-Demand
Free-Video
The Royal Institution

What's the Point of Mathematics? - Mathematical Modeling Applications

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Explore the real-world applications and significance of mathematics with Dr. Nira Chamberlain, a renowned expert in mathematical modeling across various industries.
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1 Lesons
55 minutes
On-Demand
Free-Video
Insights into Mathematics

Formal Power Series and the Miraculous Relation Between E (exp) and L (log)

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Explore formal power series as a powerful alternative to traditional analysis, focusing on the miraculous inverse relationship between exp and log polyseries variants E and L.
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1 Lesons
26 minutes
On-Demand
Free-Video
Insights into Mathematics

Hypergroup Definition and Five Key Examples - Diffusion Symmetry 4

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Explore finite commutative hypergroups through five key examples, including class and character hypergroups, distance-transitive graphs, double cosets, and automorphism orbits. Gain insights for applications in physics and chemistry.
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10 Lesons
34 minutes
On-Demand
Free-Video
Insights into Mathematics

Infinity: Does It Exist? - A Debate on Mathematical Philosophy

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A thought-provoking debate on the existence and nature of infinity in mathematics, exploring philosophical perspectives and practical implications for modern computing and mathematical foundations.
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1 Lesons
43 minutes
On-Demand
Free-Video
Insights into Mathematics

Dedekind Cuts and Computational Difficulties with Real Numbers - Famous Math Problems 19

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Explores the challenges and misconceptions surrounding 'real numbers', examining various approaches like infinite decimals, Dedekind cuts, and Cauchy sequences, while emphasizing the importance of concrete computations in mathematics.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Insights into Mathematics

Fundamental Theorem of Algebra Reexamined - Math Foundations 217

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Reexamines the Fundamental Theorem of Algebra, proposing new formulations based on rational complex arithmetic and quadrance, avoiding assumptions about continuity and real/complex numbers.
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1 Lesons
28 minutes
On-Demand
Free-Video
Insights into Mathematics

Mission Impossible: Factorizing Large Numbers - Math Foundations 200

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Explores the challenge of factoring a large number, questioning the Fundamental Theorem of Arithmetic and discussing complexity issues in mathematics. Examines the tension between idealism and constructivism in pure math.
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1 Lesons
30 minutes
On-Demand
Free-Video
Insights into Mathematics

The Successor-Limit Hierarchy in Higher Arithmetic Operations

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Explore the fascinating successor-limit hierarchy in arithmetic operations, moving beyond traditional computations to contemplate large-scale mathematical concepts and their implications.
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9 Lesons
43 minutes
On-Demand
Free-Video
Insights into Mathematics

The Law of Logical Honesty - Ending Infinity in Mathematics

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Challenging traditional mathematical concepts, this talk advocates for a new approach to mathematics without infinity, emphasizing concrete computations and logical clarity for the digital age.
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5 Lesons
26 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Singular Moduli for Real Quadratic Fields - An Update by Jan Vonk

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Explore singular moduli for real quadratic fields with Jan Vonk. Learn about recent developments, theoretical insights, and computational aspects in this advanced arithmetic geometry lecture.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Fields Institute

Explicit Constructions of Short Virtual Resolutions

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Explore explicit constructions of short virtual resolutions in algebraic geometry, focusing on innovative techniques and their applications in mathematical research.
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1 Lesons
29 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Sums of Weighted Lattice Points of Polytopes

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Explore connections between polytopes and algebraic combinatorics, focusing on sums of weighted lattice points and their computational implications in estimating maximal weighted lattice points.
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1 Lesons
53 minutes
On-Demand
Free-Video
Insights into Mathematics

Cracking the Riemann Hypothesis - A Computational Approach

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Explore a computational approach to the Riemann Hypothesis, challenging traditional mathematical assumptions and proposing a new perspective on this famous conjecture.
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1 Lesons
28 minutes
On-Demand
Free-Video
Fields Institute

Wanted: Solutions of Square Polynomial Systems

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Explore methods for solving square polynomial systems, focusing on enumerative geometry techniques and their applications in mathematical research.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Border Subrank of Tensors

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Exploration of tensor subrank and border subrank, including construction of maximal border subrank tensors and lower bound computation for the dimension of maximal border subrank tensor sets.
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1 Lesons
43 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Solving High-Dimensional Optimal Control Problems with Empirical Tensor Train Approximation

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Explore innovative approaches to solve high-dimensional optimal control problems using Tensor Train approximation, with applications to destabilized viscous Burgers and diffusion equations.
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1 Lesons
47 minutes
On-Demand
Free-Video
Fields Institute

A Numerical Toolkit for the Likelihood Correspondence

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Explore numerical methods for analyzing likelihood correspondences in statistical models, focusing on applications in enumerative geometry and algebraic statistics.
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1 Lesons
58 minutes
On-Demand
Free-Video
Fields Institute

Certified Homotopy Tracking in Enumerative Geometry

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Explore certified homotopy tracking in enumerative geometry with Kisun Lee from Clemson University, focusing on advanced mathematical concepts and applications.
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1 Lesons
29 minutes
On-Demand
Free-Video
Fields Institute

A^1-Brouwer Degrees in Macaulay2

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Explore A^1-Brouwer degrees using Macaulay2 software in this Fields Institute talk by Thomas Brazelton from Harvard University, focusing on applications in enumerative geometry.
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1 Lesons
28 minutes
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Hausdorff Center for Mathematics

Teaching Mathematics to Computers - Advancements in Computational Theorem Proving

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Explore the potential of computers in theorem-proving and advanced mathematics, from basic logic to modern research, and their future role in mathematical discovery.
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1 Lesons
1 hour 39 minutes
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Hausdorff Center for Mathematics

Teaching Mathematics to Computers - Modern Approaches and Challenges

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Explore the potential of computers in theorem-proving and advanced mathematics, from basic logic to modern research, and their future role in mathematical discovery.
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1 Lesons
1 hour 52 minutes
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Insights into Mathematics

The Fundamental Theorem of Algebra - Challenging Mathematical Orthodoxy

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Challenging the Fundamental Theorem of Algebra: Exploring its limitations, implications for calculus and linear algebra, and the need for a more accurate formulation in rational numbers.
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1 Lesons
23 minutes
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Wolfram

Finite Fields and Their Applications

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Explore new Mathematica 13.3 features for finite field computations, including arithmetic, mappings, and polynomials. Learn about upcoming linear algebra and equation solving capabilities.
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1 Lesons
27 minutes
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Wolfram

Integral Transforms through Mellin-Barnes Integration

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Explore special functions, Mellin-Barnes integration, and integral transforms using advanced computational techniques for math and physical science applications.
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1 Lesons
43 minutes
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Wolfram

Rubi: Solving Integrals, One Rule at a Time

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Master symbolic integration using Rubi's rule-based approach. Explore transparent, systematic methods for finding antiderivatives and compare with traditional algorithms.
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1 Lesons
29 minutes
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Wolfram

Computational Number Theory in the Modern World

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Explore modern computational number theory, covering primes, factorization, divisibility, congruence, and advanced topics like analytic and additive number theory.
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17 Lesons
26 minutes
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Instituto de Física Interdisciplinar y Sistemas Complejos (IFISC)

Numerical Methods for Quasi-Stationary Distributions

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Explore numerical techniques for calculating quasi-stationary distributions in complex systems, enhancing understanding of long-term behavior in stochastic processes.
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1 Lesons
57 minutes
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