Blackman's theorem is a general procedure for calculating the change in an impedance due to feedback in a circuit. It was published by Ralph Beebe Blackman in 1943, was connected to signal-flow analysis by John Choma, and was made popular in the extra element theorem by R. D. Middlebrook and the asymptotic gain model of . Blackman's approach leads to the formula for the impedance Z between two selected terminals of a negative feedback amplifier as Blackman's formula: where ZD = impedance with the feedback disabled, TSC = loop transmission with a small-signal short across the selected terminal pair, and TOC = loop transmission with an open circuit across the terminal pair. The loop transmission also is referred to as the return ratio. Blackman's formula can be compared with Middlebrook's result for the input impedance Zin of a circuit based upon the extra-element theorem: where: is the impedance of the extra element; is the input impedance with removed (or made infinite); is the impedance seen by the extra element with the input shorted (or made zero); is the impedance seen by the extra element with the input open (or made infinite). Blackman's formula also can be compared with Choma's signal-flow result: where is the value of under the condition that a selected parameter P is set to zero, return ratio is evaluated with zero excitation and is for the case of short-circuited source resistance. As with the extra-element result, differences are in the perspective leading to the formula. (Wikipedia).
Calculus - The Fundamental Theorem, Part 2
The Fundamental Theorem of Calculus. A discussion of the antiderivative function and how it relates to the area under a graph.
From playlist Calculus - The Fundamental Theorem of Calculus
Calculus 5.3 The Fundamental Theorem of Calculus
My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart
From playlist Calculus
Blackman's Impedance Formula Explained
https://www.patreon.com/edmundsj If you want to see more of these videos, or would like to say thanks for this one, the best way you can do that is by becoming a patron - see the link above :). And a huge thank you to all my existing patrons - you make these videos possible. Blackman's Im
From playlist Electronics II: Analog Circuits
What is Stokes theorem? - Formula and examples
► My Vectors course: https://www.kristakingmath.com/vectors-course Where Green's theorem is a two-dimensional theorem that relates a line integral to the region it surrounds, Stokes theorem is a three-dimensional version relating a line integral to the surface it surrounds. For that reaso
From playlist Vectors
Calculus - The Fundamental Theorem, Part 3
The Fundamental Theorem of Calculus. Specific examples of simple functions, and how the antiderivative of these functions relates to the area under the graph.
From playlist Calculus - The Fundamental Theorem of Calculus
The Road to Roe v. Wade | Liberty on Trial in America
Roe v. Wade is one of the most explosive and historic Supreme Court cases ever heard, but it certainly wasn't the first regarding procreation. Even in the 20th century, it was preceded by cases involving sterilization and restrictions on contraceptives. Gain some crucial perspective on wha
From playlist American History
Quotient rule for derivative, A, B, C are constants
Quotient rule for derivative examples Check out my site & social media www.blackpenredpen.com https://twitter.com/blackpenredpen https://www.instagram.com/blackpenredpen/ Thank you for watching! Please subscribe and share my videos to help my channel grow! blackpenredpen
From playlist Sect 3.2, Stewart Calculus 7th ed, video solutions to selected problems
Scholar Spotlight: Terrence Blackman
Meet the newest Members at the Institute for Advanced Study and discover their unique passion for curiosity-driven research in the Scholar Spotlight video series. This week, number theorist Terrence Blackman, Visitor in the School of Mathematics, discusses his quest to advance understandi
From playlist Scholar Spotlight
In this video, I present Stokes' Theorem, which is a three-dimensional generalization of Green's theorem. It relates the line integral of a vector field over a curve to the surface integral of the curl of that vector field over the corresponding surface. After presenting an example, I expl
From playlist Multivariable Calculus
Paths to Math: Terrence Blackman
“Paths to Math” chronicles the academic journeys of individual scholars and the moments that ignited their passion for math. With each unique story, this series celebrates the universality of mathematics and the inclusive community of practitioners at IAS, spanning a deep array of backgrou
From playlist Paths to Math
An explanation of Stokes' theorem or Green's theorem in 3-space.
From playlist Advanced Calculus / Multivariable Calculus
Calculus - The Fundamental Theorem, Part 1
The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.
From playlist Calculus - The Fundamental Theorem of Calculus
Multivariable Calculus | The Squeeze Theorem
We calculate a limit using a multivariable version of the squeeze theorem. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus
Stanford Lecture: Mathematical Writing - Final truths
The class notes are available as a Stanford report, Mathematical Writing (http://www-cs-faculty.stanford.edu/~knuth/papers/cs1193.pdf), and a published book (http://www-cs-faculty.stanford.edu/~knuth/klr.html). December 11, 1987 Professor Knuth is the Professor Emeritus at Stanford Unive
From playlist Donald Knuth Lectures
William Gasarch - The Muffin Problem - G4G13 Apr 2018
Origin of and result on the Muffin Problem
From playlist G4G13 Videos
Explaining the Stellar ...Applicable Principles - Eric G. Blackman
Eric G. Blackman University of Rochester and Institute for Advanced Study October 21, 2014 Note: Video recording will be available at https://video.ias.edu/sns. More videos on http://video.ias.edu http://www.sns.ias.edu/~seminar/colloquia.shtml
From playlist Natural Sciences
Full title reads: "Sandown Park. Variety Goes Racing". Sandown Park Race Course, Surrey. Stars of the Variety Club attend race meeting to raise money for charity. GV Crowds at Sandown Park. CU Max Bygraves amongst crowd of autograph hunters. CU Liz Fraser signing autographs. CU Marga
From playlist Film Stars | British Pathé
Are they relevant to the 21st Century. Urban Design Group Journal Summary Findings. Elli Thomas is a researcher at the Centre for Cities working on smart cities, housing, planning and skills. She has a background in both history and urban design, with experience in research and analysis, d
From playlist Urban Design Group: Introduction to Urban Design
London. Dorchester Hotel. GV. Pan, interior, the lounge at the Dorchester Hotel, London, where women members of the Variety Club have gathered for luncheon. SV. Lady Isobel Barnett and Katie Boyle, & SCU. CU. Duke and Duchess of Bedford. SCU. Comedian and singer Harry Secombe, Barbara K
From playlist Prince Philip: A Life In Pictures
Euler's Theorem generalizing Fermat's Little Theorem. Previous video: https://youtu.be/OUeUTY-ils8 Next video: https://youtu.be/cWkZqGdnsuU
From playlist RSA