Radio frequency propagation model

Friis transmission equation

The Friis transmission formula is used in telecommunications engineering, equating the power at the terminals of a receive antenna as the product of power density of the incident wave and the effective aperture of the receiving antenna under idealized conditions given another antenna some distance away transmitting a known amount of power. The formula was presented first by Danish-American radio engineer Harald T. Friis in 1946. The formula is sometimes referenced as the Friis transmission equation. (Wikipedia).

Friis transmission equation
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C73 Introducing the theorem of Frobenius

The theorem of Frobenius allows us to calculate a solution around a regular singular point.

From playlist Differential Equations

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The Frenet Serret equations | Differential Geometry 18 | NJ Wildberger

The Frenet Serret equations describe what is happening to a unit speed space curve, twisting and rotating around in three dimensional space. This is done with the language of vector valued derivatives. The idea is to attach to each point of the curve, a triple of unit vectors, called tra

From playlist Differential Geometry

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Differential Equations | Homogeneous System of Differential Equations Example 1

We solve a homogeneous system of first order linear differential equations with constant coefficients using the matrix exponential. This example involves a matrix which is diagonalizable with real eigenvalues. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Systems of Differential Equations

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How to Design a Flashlight? [Electronics Fundamentals 1]

Welcome to the start of a series of videos on Electronics Fundamentals. In this video we cover: -Ohm's Law -A simple flash light circuit -Resistor selection -LED current limitations I'm looking to cover as many topics as I can in this series of videos, and build up the complexity through

From playlist Summer of Math Exposition Youtube Videos

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Power series solution to differential equations: a tutorial

Free ebook http://tinyurl.com/EngMathYT How to solve differential equations using power series. An example is discussed involving the method of Frobenius where linear differential equation (with variable coefficients) is solved by using a power series. The ideas are seen in university

From playlist A second course in university calculus.

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C07 Homogeneous linear differential equations with constant coefficients

An explanation of the method that will be used to solve for higher-order, linear, homogeneous ODE's with constant coefficients. Using the auxiliary equation and its roots.

From playlist Differential Equations

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HAR 2009: Lightning talks Friday 5/14

Clip 5 Speakers: Don Hopkins, Hoppel, jbe, Melvin Rook, Rene "cavac" Schickbauer, Sébastien Bourdeauducq, tille 7 short lectures in 2 hours This session of lightningtalks includes: •Free Beer https://har2009.org/program/track/Lightningtalks/177.en.html •BlinkenSisters Jump'n'

From playlist Hacking at Random (HAR) 2009

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Andrei Linde - Will the Universe Ever End?

What does it mean to ask about the end of the universe? Can the universe even have an end? What would end? In the far, far future, what happens to stars, galaxies, and black holes? What about mass and energy, even space and time? What's the 'Big Crunch' and the 'Big Rip'? And what if there

From playlist Closer To Truth - Andrei Linde Interviews

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Andrei Linde - What Does A Fine-Tuned Universe Mean?

That the universe is 'fine-tuned' is generally not controversial—the laws of physics have to be 'just so' for anything we know, including ourselves, to exist. But why this is so and what this may mean is highly controversial. Coincidence and wildly good fortune? Multiple universes with ant

From playlist Closer To Truth - Andrei Linde Interviews

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Andrei Linde - What Are the Implications of Cosmology?

Cosmologists are making startling discoveries, with real data enabling deep theories about the beginning and end of our universe and informed speculations about various kinds of astonishing multiple universes. Can more be inferred here than the science itself? Can we discern 'purpose' or '

From playlist Closer To Truth - Andrei Linde Interviews

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Andrei Linde & Renata Kallosh - Why is Quantum Gravity Key?

Quantum theory explains the microworld. General relativity, discovered by Einstein, explains gravity and the structure of the universe. The problem is that the two are not friends; they do not get along, they are not compatible. But they must. That's the task of quantum gravity. Free acc

From playlist Closer To Truth - Andrei Linde Interviews

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Lecture Mario Pulvirenti: Scaling limits and effective equations in kinetic theory I

The lecture was held within the of the Hausdorff Trimester Program: Kinetic Theory Abstract: Basic equations in Kinetic Theory are the Boltzmann and Landau equations which are appropriate to describe rarefied gases and weakly interacting plasmas respectively. They are formally derived un

From playlist Summer School: Trails in kinetic theory: foundational aspects and numerical methods

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Unit Vector in the Direction of v = (-1, 3)

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Unit Vector in the Direction of v = (-1, 3). We also check the answer.

From playlist Calculus

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Differential Equations | Frobenius' Method -- Example 1

From the desert, we present an example of a Frobenius series solution to a second order homogeneous differential equation. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Series Solutions for Differential Equations

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Bento Natura: On circuit imbalance measures and their role in circuit augmentation algorithms

The efficiency of many algorithms for linear programs and integer programs crucially depends on condition numbers of the constraint matrix. We motivate new combinatorial condition numbers that bound the ratio of non-zero entries of support-minimal vectors in the kernel of the constraint ma

From playlist Workshop: Tropical geometry and the geometry of linear programming

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A reaction-diffusion equation based on the Rock-Paper-Scissors automaton (longer version)

Like the short simulation https://youtu.be/Xeomrnw3JaI , this video shows a solution of a reaction-diffusion equation behaving in a similar way as the Belousov-Zhabotinsky chemical reactions, but is easier to simulate. At each point in space and time, there are three concentrations u, v, a

From playlist Reaction-diffusion equations

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Differential Equations | Homogeneous System of Differential Equations Example 2

We solve a homogeneous system of linear differential equations with constant coefficients using the matrix exponential. In this case the associated matrix is 2x2 and not diagonalizable. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Systems of Differential Equations

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4. Stability

MIT Electronic Feedback Systems (1985) View the complete course: http://ocw.mit.edu/RES6-010S13 Instructor: James K. Roberge License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT Electronic Feedback Systems (1985)

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Introduction to Differential Equation Terminology

This video defines a differential equation and then classifies differential equations by type, order, and linearity. Search Library at http://mathispower4u.wordpress.com

From playlist Introduction to Differential Equations

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21st Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series Talk

Date: Wednesday, April 14, 2021, 10:00am Eastern Time Zone (US & Canada) Speaker: Fioralba Cakoni, Rutgers University Title: On some old and new spectral problems in inverse scattering theory Abstract: Scattering poles, non-scattering frequencies and transmission eigenvalues are intrins

From playlist Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series

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