Complex systems theory

Quorum sensing

In biology, quorum sensing or quorum signalling (QS) is the ability to detect and respond to cell population density by gene regulation. As one example, QS enables bacteria to restrict the expression of specific genes to the high cell densities at which the resulting phenotypes will be most beneficial. Many species of bacteria use quorum sensing to coordinate gene expression according to the density of their local population. In a similar fashion, some social insects use quorum sensing to determine where to nest. Quorum sensing in pathogenic bacteria activates host immune signaling and prolongs host survival, by limiting the bacterial intake of nutrients, such as tryptophan, which further is converted to serotonin. As such, quorum sensing allows a commensal interaction between host and pathogenic bacteria. Quorum sensing may also be useful for cancer cell communications. In addition to its function in biological systems, quorum sensing has several useful applications for computing and robotics. In general, quorum sensing can function as a decision-making process in any decentralized system in which the components have: (a) a means of assessing the number of other components they interact with and (b) a standard response once a threshold number of components is detected. (Wikipedia).

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Quotient group example

Now that we know what a quotient group is, let's take a look at an example to cement our understanding of the concepts involved.

From playlist Abstract algebra

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Ex 2: Determine a Derivative Using the Quotient Rule Involving a Trig Function

This video provides an example of determining a derivative using the quotient rule involving a trigonometric function. Complete Video List at http://www.mathispower4u.com

From playlist Differentiation Using the Quotient Rule

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PreCalculus | Finding the difference quotient: Example 3

We present a few examples of calculating the difference quotient. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist PreCalculus

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Visual Group Theory, Lecture 3.5: Quotient groups Like how a direct product can be thought of as a way to "multiply" two groups, a quotient is a way to "divide" a group by one of its subgroups. We start by defining this in terms of collapsing Cayley diagrams, until we get a conjecture abo

From playlist Visual Group Theory

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Simplify an expression by applying quotient rule of exponents

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From playlist Simplify Using the Rules of Exponents | Quotient Rule

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From playlist MIT 6.824 Distributed Systems (Spring 2020)

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From playlist AP Biology Video Essentials

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[EXAMPLE] YouTube Space Lab Entry - Biological Experiment

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From playlist Example Entries - YouTube Space Lab

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From playlist Programming Podcast

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What is a difference quotient? How to find a difference quotient. Deriving it from the rise over run formula.

From playlist Calculus

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From playlist Preparatory School on Population Genetics and Evolution

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Learn the basics for simplifying an expression using the rules of exponents

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From playlist Simplify Using the Rules of Exponents | Quotient Rule

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Ex: Find a Derivative and Derivative Function Value Using the Quotient Rule (linear/trig)

This video explains how to find a derivative function and a derivative function value using the quotient rule. The quotient involves a linear function and a trigonometric function. Site: http://mathispower4u.com

From playlist Differentiation Using the Quotient Rule

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From playlist Fluctuations in Nonequilibrium Systems: Theory and Applications

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From playlist AP Biology Video Essentials

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Derivative Functions: Quotient Rule with Trigonometric Functions

This video explains how to determine a derivative function involving cotangent using the quotient rule.

From playlist Differentiation Using the Quotient Rule

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Simplifying a monomial using the rules of exponents

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From playlist Simplify Using the Rules of Exponents | Quotient Rule

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Rule #2: Double Tap. An Elasticsearch Journey of Resiliency - George Kobar - REdeploy 2019

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From playlist REdeploy 2019

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