Analytic functions

Nevanlinna's criterion

In mathematics, Nevanlinna's criterion in complex analysis, proved in 1920 by the Finnish mathematician Rolf Nevanlinna, characterizes holomorphic univalent functions on the unit disk which are starlike. Nevanlinna used this criterion to prove the Bieberbach conjecture for starlike univalent functions. (Wikipedia).

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Maximum and Minimum

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

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Reliability 1: External reliability and rater reliability and agreement

In this video, I discuss external reliability, inter- and intra-rater reliability, and rater agreement.

From playlist Reliability analysis

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Learn how to evaluate left and right hand limits of a function

👉 Learn how to evaluate the limit of an absolute value function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The absolute value function is a function which only takes the positive val

From playlist Evaluate Limits of Absolute Value

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Evaluate the limit for a value of a function

👉 Learn how to evaluate the limit of an absolute value function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The absolute value function is a function which only takes the positive val

From playlist Evaluate Limits of Absolute Value

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2018 Fields Medal Coverage at Quanta Magazine

Mathematicians Caucher Birkar, Alessio Figalli, Peter Scholze and Akshay Venkatesh have been awarded the Fields Medal. Computer scientist Constantinos Daskalakis won the Nevanlinna Prize. Read exclusive, in-depth profiles at QuantaMagazine.org: https://www.quantamagazine.org/tag/2018-field

From playlist 2018 Fields Medal and Nevanlinna Prize Winners

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Subhash Khot: A Grand Vision for the Impossible

A video profile of the 2014 Nevanlinna Prize winner Subhash Khot, whose bold conjecture is helping mathematicians explore the precise limits of computation. QUANTA MAGAZINE Website: https://www.quantamagazine.org/ Facebook: https://www.facebook.com/QuantaNews Twitter: https://twitter.co

From playlist 2014 Fields Medal and Nevanlinna Prize Winners

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Complex Magnitude Equation with Geometric Interpretation

A response to Fematika's video about complex loci.

From playlist Challenge Problems

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How to evaluate the limit of a function by observing its graph

👉 Learn how to evaluate the limit of an absolute value function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The absolute value function is a function which only takes the positive val

From playlist Evaluate Limits of Absolute Value

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Using parent graphs to understand the left and right hand limits

👉 Learn how to evaluate the limit of an absolute value function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The absolute value function is a function which only takes the positive val

From playlist Evaluate Limits of Absolute Value

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Kazuya Kato - Height functions for motives, Hodge analogues, and Nevanlinna analogues

We compare height functions for (1) points of an algebraic variety over a number field, (2) motives over a number field, (3) variations of Hodge structure with log degeneration on a projective smooth curve over the complex number field, (4) horizontal maps from the complex plane C to a tor

From playlist Conférences Paris Pékin Tokyo

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HLF Laureate Portraits: John Milnor

The Heidelberg Laureate Forum Foundation presents the HLF Laureate Portraits: John Milnor; Fields Medal, 1962; Abel Prize, 2011. Interview recorded in 2016. In this series, join us as we meet with the top mathematicians and computer scientists – recipients of the Abel Prize, the ACM A.M.

From playlist Related videos on other channels

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HLF Laureate Portraits: Srinivasa S. R. Varadhan

The Heidelberg Laureate Forum Foundation presents the HLF Laureate Portraits: Srinivasa S. R. Varadhan; Abel Prize, 2007. Interview recorded in 2016. In this series, join us as we meet with the top mathematicians and computer scientists – recipients of the Abel Prize, the ACM A.M. Turing

From playlist Related videos on other channels

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C34 Expanding this method to higher order linear differential equations

I this video I expand the method of the variation of parameters to higher-order (higher than two), linear ODE's.

From playlist Differential Equations

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Rolf Nevanlinna Prize 2014 Subhash Khot

Subhash Khot is awarded the Nevanlinna Prize for his prescient definition of the “Unique Games” problem, and leading the effort to understand its complexity and its pivotal role in the study of efficient approximation of optimization problems; his work has led to breakthroughs in algorithm

From playlist IMU Awards

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Constantinos Daskalakis: A Poet of Computation Who Uncovers Distant Truths

Constantinos Daskalakis on why he studies the interface between theoretical computer science and human behavior. Read the full profile here: https://www.quantamagazine.org/computer-scientist-constantinos-daskalakis-wins-nevanlinna-prize-20180801/ Video by Cassandra Klos for Quanta Magazine

From playlist 2018 Fields Medal and Nevanlinna Prize Winners

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Rolf Nevanlinna Prize 2018 Constantinos Daskalakis

The Rolf Nevanlinna Prize is awarded for outstanding contributions in Mathematical Aspects of Information Sciences including 1. All mathematical aspects of computer science, including complexity theory, logic of programming languages, analysis of algorithms, cryptography, computer vision,

From playlist IMU Awards

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6th HLF – Laureate interview: Srinivasa S. R. Varadhan

Laureates at the 6th HLF sit down with Tom Geller, Tom Geller Productions, to discuss their career, mentoring and their experience at the Heidelberg Laureate Forum (HLF). These renowned scientists have been honored with most prestigious awards in mathematics and computer science: Abel Priz

From playlist Related videos on other channels

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HLF Laureate Portraits: Avi Wigderson

The Heidelberg Laureate Forum Foundation presents the HLF Laureate Portraits: Avi Wigderson; Nevanlinna Prize, 1994. Interview recorded in 2019. In this series, join us as we meet with the top mathematicians and computer scientists – recipients of the Abel Prize, the ACM A.M. Turing Awar

From playlist Avi Wigderson

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How to Determine if Functions are Linearly Independent or Dependent using the Definition

How to Determine if Functions are Linearly Independent or Dependent using the Definition If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Th

From playlist Zill DE 4.1 Preliminary Theory - Linear Equations

Related pages

Constantin Carathéodory | Complex analysis | Mathematics | Schwarz lemma | Star domain | Argument principle | Maximum principle | Unit disk | Harmonic function | Koenigs function | Holomorphic function