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#Critical Points

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The Organic Chemistry Tutor

Application of Derivatives - Formulas and Notes for Calculus

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Explore a comprehensive calculus video tutorial covering essential formulas and notes on derivative applications. Learn about average and instantaneous rates of change, Rolle's theorem, mean value theorem, critical points, concavity, inflection points, v…
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1 Lesons
13 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Mild Dissipative Diffeomorphisms of the Disk with Zero Entropy - Lecture 3

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Explore zero entropy surface diffeomorphisms, their dynamics, and bifurcations. Examine volume-contracting systems, renormalization concepts, and extensions to different domains like the annulus.
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1 Lesons
2 hours 2 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Mild Dissipative Diffeomorphisms of the Disk with Zero Entropy - Lecture 2

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Explore zero entropy surface diffeomorphisms, their dynamics, and bifurcations. Examine volume-contracting systems, renormalization concepts, and extensions to different domains like the annulus.
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1 Lesons
2 hours 1 minute
On-Demand
Free-Video
ICTP-SAIFR

Equação de Equilíbrio Térmico e Transições de Fases

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Explore equações de equilíbrio térmico e transições de fases, aprofundando conhecimentos para olimpíadas de física.
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1 Lesons
1 hour 58 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Renormalization in Dimension Two - Lecture 1B

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Explore advanced renormalization theory in two-dimensional dynamical systems, focusing on self-similarity, non-uniform partial hyperbolicity, and the extension of unimodal map concepts to higher dimensions.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Renormalization in Dimension Two - Lecture 2B

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Delve into advanced renormalization theory for two-dimensional dynamical systems, exploring self-similarity, non-uniform partial hyperbolicity, and geometric control at microscopic scales.
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6 Lesons
49 minutes
On-Demand
Free-Video
The Organic Chemistry Tutor

Concavity, Inflection Points, Increasing Decreasing, First and Second Derivative - Calculus

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Comprehensive calculus tutorial covering function behavior analysis, including increasing/decreasing intervals, extrema, concavity, and inflection points using first and second derivatives.
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13 Lesons
54 minutes
On-Demand
Free-Video
The Organic Chemistry Tutor

Absolute and Local Minimum and Maximum Values - Relative Extrema, Critical Numbers - Points Calculus

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Comprehensive guide to finding absolute and local extrema in calculus, covering critical points, derivative tests, and various function types with practical examples and problem-solving techniques.
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16 Lesons
1 hour 10 minutes
On-Demand
Free-Video
IMSA

Bounds on Morse-Novikov Numbers of 3-Manifolds

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Explore bounds on Morse-Novikov numbers of 3-manifolds, examining circle-valued Morse functions and their critical points, with applications to knot theory and topology.
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17 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Morse-Based Fibering of the Rank Invariant

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Explore multi-parameter persistence in data analysis using discrete Morse theory to compute rank invariants, partition parameter space, and deduce persistence diagrams for equivalent classes of lines.
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14 Lesons
54 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Catastrophe Theory

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Explore catastrophe theory, covering critical points, germs, classification theorems, unfoldings, and elementary catastrophes. Visualize concepts and discover applications in chemistry.
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9 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Matthew Kahle - Topology of Configuration Spaces of Hard Spheres

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Explore configuration spaces, homology, and topology in hard sphere systems. Learn about critical points, computational approaches, and theoretical foundations in applied algebraic topology.
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25 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Khan Academy

Graphing with Derivatives - Differential Calculus

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Explore graphing techniques using derivatives in differential calculus. Learn to analyze function behavior, identify critical points, and sketch accurate graphs with this practical example from Khan Academy.
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1 Lesons
25 minutes
On-Demand
Free-Video
Fields Institute

Describing Blaschke Products by Their Critical Points

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Explore critical points in Blaschke products, inner functions, and related theorems. Gain insights into analytic function spaces and their applications in complex analysis.
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13 Lesons
1 hour
On-Demand
Free-Video
Professor Leonard

Stability of Critical Points - Differential Equations

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Explore critical points in differential equations to determine solution behavior, enhancing your understanding of stability and general solution characteristics.
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1 Lesons
1 hour 24 minutes
On-Demand
Free-Video
Wrath of Math

Second Derivatives Test for Local Extrema of Multivariable Functions - Calculus 3 Exercises

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Explore second derivatives test for finding local extrema of multivariable functions through three examples, covering maximums, minimums, and saddle points using partial derivatives.
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4 Lesons
12 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Sample Size Estimates for Risk-Neutral Semilinear PDE-Constrained Optimization

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Explore sample size estimates for risk-neutral semilinear PDE-constrained optimization using SAA approach, covering nonasymptotic analysis and numerical illustrations.
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1 Lesons
30 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Complex Dynamics in the Tropics - Partial Hyperbolicity in the Hénon Family

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Explore partial hyperbolicity in Hénon family dynamics. Delve into complex mathematical concepts, including Henon-like maps, quadratic handle maps, and Julia sets.
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16 Lesons
1 hour
On-Demand
Free-Video
HyperComplex Seminar

Physical Interpretation of Membership to Kaplan Classes for Certain Functions

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Explore physical interpretations of Kaplan class membership for specific functions, focusing on gap conditions, mass, and density for zeros on the unit circle.
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1 Lesons
23 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

On the Critical Points of Steklov Eigenfunctions

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Explore critical points of Steklov eigenfunctions on Riemannian manifolds, examining relationships between eigenfunction indexes, boundary behavior, and Euler characteristics.
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1 Lesons
46 minutes
On-Demand
Free-Video
BIMSA

Critical Points of Eisenstein Series and Spectrum of the Lame Operator

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Explore critical points of Eisenstein series E2, E4, E6 and their applications to the Lame operator's spectrum in this advanced mathematics lecture.
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1 Lesons
55 minutes
On-Demand
Free-Video
Banach Center

A Family of Rational Maps with One Free Critical Point

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Explore rational maps with one free critical point, delving into their properties and implications in complex dynamics.
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1 Lesons
28 minutes
On-Demand
Free-Video
Fields Institute

Phase Transition Theory for the Score Degradation of Machine Learning Models

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Explore phase transition theory's application to machine learning model score degradation, examining its impact on performance and reliability in dynamic systems.
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1 Lesons
27 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

The Long-Run Distribution of Stochastic Gradient Descent: A Large Deviations Approach

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Explore the long-run behavior of stochastic gradient descent in non-convex problems, analyzing state space visitation patterns and energy level distributions.
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1 Lesons
25 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Nonconvex Optimization and the Curse of Local Minima - Lessons Learned from Orbital Tomography

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Explore nonconvex optimization algorithms, focusing on quality of fixed points in orbital tomography. Gain insights into evaluating algorithm effectiveness beyond convergence speed.
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1 Lesons
24 minutes
On-Demand
Free-Video
Cambridge Materials

Zentropy Theory: Predicting Macroscopic Properties and Emergent Behaviors in Materials

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Explore zentropy theory's integration of statistical and quantum mechanics to predict emergent behaviors in magnetic and ferroelectric materials, including critical point singularities and cross-phenomena coefficients.
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1 Lesons
48 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Graph Structure of the Nodal Set on Riemannian Manifolds

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Explore the geometric analysis of eigenfunction zero sets on Riemannian manifolds, examining connections between graph theory, nodal sets, and critical point estimation in spectral geometry.
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1 Lesons
40 minutes
On-Demand
Free-Video
Up and Atom

Phase Transitions and the Ising Model: Understanding Critical Points at 770°C

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Explore the fascinating physics of phase transitions at 770°C through the Ising Model, discovering critical points, scale invariance, and universal patterns in nature's transformative processes.
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12 Lesons
19 minutes
On-Demand
Free-Video