Mathematical analysis

Oscillatory integral

In mathematical analysis an oscillatory integral is a type of distribution. Oscillatory integrals make rigorous many arguments that, on a naive level, appear to use divergent integrals. It is possible to represent approximate solution operators for many differential equations as oscillatory integrals. (Wikipedia).

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What is an integral and it's parts

👉 Learn about integration. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which the upper and the lower li

From playlist The Integral

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How to integrate when there is a radical in the denominator

👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t

From playlist The Integral

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How to use u substitution to find the indifinite integral

👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t

From playlist The Integral

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How to take the integral of tangent

👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t

From playlist The Integral

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High-order Homogenization in Optimal Control by the Bloch Wave Method by Agnes Lamacz-Keymling

DISCUSSION MEETING Multi-Scale Analysis: Thematic Lectures and Meeting (MATHLEC-2021, ONLINE) ORGANIZERS: Patrizia Donato (University of Rouen Normandie, France), Antonio Gaudiello (Università degli Studi di Napoli Federico II, Italy), Editha Jose (University of the Philippines Los Baño

From playlist Multi-scale Analysis: Thematic Lectures And Meeting (MATHLEC-2021) (ONLINE)

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A Stationary Phase Method for a Class of Nonlinear Equations - Yen Do

Yen Do Georgia Institute of Technology October 26, 2010 In this talk I will describe a real-variable method to extract long-time asymptotics for solutions of many nonlinear equations (including the Schrodinger and mKdV equations). The method has many resemblances to the classical stationa

From playlist Mathematics

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Integrate the a rational expression using logarithms and u substitution

👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t

From playlist The Integral

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EE102: Introduction to Signals & Systems, Lecture 23

These lectures are from the EE102, the Stanford course on signals and systems, taught by Stephen Boyd in the spring quarter of 1999. More information is available at https://web.stanford.edu/~boyd/ee102/

From playlist EE102: Introduction to Signals & Systems

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Apply u substitution with a binomial squared

👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t

From playlist The Integral

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Michael Weinstein: Waves and microstructures

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Partial Differential Equations

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Beyond Kuramoto: a unifying theory of autoinduced oscillation in cell populations by Lei Han Tang

Stochastic Thermodynamics, Active Matter and Driven Systems DATE: 07 August 2017 to 11 August 2017 VENUE: Ramanujan Lecture Hall, ICTS Bangalore. Stochastic Thermodynamics and Active Systems are areas in statistical physics which have recently attracted a lot of attention and many intere

From playlist Stochastic Thermodynamics, Active Matter and Driven Systems - 2017

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Ruixiang Zhang (IAS): A stationary set method for estimating oscillatory integrals

In this talk, I will introduce a "stationary set" method that gives an upper bound with simple geometric meaning. The proof of this bound mainly relies on the theory of o-minimal structures. As an application of our bound, we obtain the sharp convergence exponent in the two dimensional Tar

From playlist Seminar Series "Harmonic Analysis from the Edge"

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Lecture 4 - Three Cases of Damped Motion

Behavior of transient motion depends on strength of damping; Energy again -- half-life and quality factor of an oscillator Lecture 4 of Caltech's Ph2a Course on Vibrations and Waves by Prof. Frank Porter and Dr. Ashmeet Singh. View course materials on the course website http://waves.calte

From playlist Ph2a: Vibrations and Waves

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How to integrate exponential expression with u substitution

👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t

From playlist The Integral

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How to integrate with e in the numerator and denominator

👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t

From playlist The Integral

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Arkady Pikovsky - Inferring coupled oscillatory dynamics from data - IPAM at UCLA

Recorded 30 August 2022. Arkady Pikovsky of Universität Potsdam presents "Inferring coupled oscillatory dynamics from data" at IPAM's Reconstructing Network Dynamics from Data: Applications to Neuroscience and Beyond. Abstract: In the analysis of oscillatory processes, one needs a good est

From playlist 2022 Reconstructing Network Dynamics from Data: Applications to Neuroscience and Beyond

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Learn how to use u substitution to integrate a polynomial

👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t

From playlist The Integral

Related pages

Differential operator | Pseudo-differential operator | Support (mathematics) | Laplace operator | Dirac delta function | Fourier inversion theorem | Distribution (mathematics) | Riemann–Lebesgue lemma | Schwartz space | Van der Corput lemma (harmonic analysis) | Fourier transform | Critical point (mathematics) | Schwartz kernel theorem | Mathematical analysis | Lars Hörmander | Homogeneous function